SAMPLE PAGES FROM UNIT K Heinemann Science Scheme Teacher Resource Pack 3 ISBN: 0 435 58249 6 D E T C E R R O UNC OOFS PR This sample contains most of Unit K from Heinemann Science Scheme Teacher Resource Pack 3 in a PDF format. Because this advance material has not yet been through all checking stages, it may still contain minor errors. The following pages are not included in this sample material but will be in the Pack: test-yourself answers; keywords lists and glossary lists. © S. Mitchell, 2002, The Heinemann Science Scheme This material may be freely copied for institutional use prior to the publication of the book from which it is taken. However, this material is copyright and under no circumstances may copies be offered for sale. Learning objectives (from QCA Scheme of Work) Pupils should learn: Teaching activities Learning outcomes (from QCA Scheme of Work) Pupils: Homework resources Specials Extension resources (learning support) C that speed can be determined by measuring distance travelled and time taken the units in which speed is measured to manipulate and apply the quantitative relationship linking distance, time and speed K1a Core: How fast is it moving? (1) K1b Core: How fast is it moving? (2) recognise that in some contexts, eg a race of given length, comparisons of speed can be made from measurements of time alone compare speeds from data of distance and time make measurements of distance and time and use these to calculate speeds use the quantitative relationship between distance, time and speed in a variety of contexts K1 How fast is it moving? K1 How fast is it moving? K1a Speed records K1b Light years K2 Getting faster to plan and organise a group activity to solve a problem to make sufficient measurements using ICT to use ICT-generated graphs to describe trends or relationships in graphs to compare and evaluate different ways of making measurements that measurements for different purposes may not be equally precise K2 Core: Getting faster K2 Help: Getting faster contribute to a group plan identify the difference between average speed and speed at a point collect readings of speed at a point using datalogging equipment describe the pattern in results, eg the higher the ramp, the faster the car at the bottom; the car accelerates down the slope suggest reasons, eg reaction time, why hand-held timers may be less accurate than electronically triggered timers give reasons why some specific measurements need to be more precise than others K2 Getting faster K2 Getting faster K2 Measuring the speed of a tennis ball 1 Scheme of Work S Mitchell, 2002, The Heinemann Science Scheme K1 How fast is it moving? Unit K Speeding up Book spread 2 S Mitchell, 2002, The Heinemann Science Scheme Learning objectives (from QCA Scheme of Work) Pupils should learn: Teaching activities Learning outcomes (from QCA Scheme of Work) Pupils: Homework resources Specials (learning support) that a force produces a change in speed (an acceleration) that in the absence of force, objects move at a steady speed, or remain stationary to make generalisations about forces and speed K3a Core: Friction-free movement K3b Core: How do forces affect speed? K3b Help: How do forces affect speed? K3c Core: How does mass affect speed? K3c Help: How does mass affect speed? give examples of movement without force, eg skating give examples of situations, eg athletics, cars, classroom objects, in which forces increase or decrease speed make simple generalisations, eg the larger the force, the greater the increase of speed make comparisons using information from secondary sources K3 How do forces affect speed? K3 How do forces affect speed? K4 How can we increase speed? that air resistance and water resistance are forces that oppose motion how the effects of air resistance and water resistance can be reduced by streamlining that air and water resistance increase with increasing speed that the energy required to keep a moving object moving depends on air resistance to apply knowledge of the particle model in explaining air resistance K4 Core: How can we increase speed? give examples of air and water resistance opposing motion explain that in order to increase speed without increasing thrust, resistance (or drag) has to be reduced describe ways in which streamlining is achieved and why streamlining is important describe differences in the effect of air resistance when walking or running identify that fuel consumption for a particular vehicle is greater at greater speed and relate this to air resistance explain that increased air resistance leads to a greater heating effect explain how, at higher speeds, the movement of an object is resisted by more particles K4 How can we increase speed? K4 How can we increase speed? K4 Streamlining cars Scheme of Work K3 How do forces affect speed? Extension resources Unit K Speeding up C Book spread K5 How do parachutes work? Learning objectives (from QCA Scheme of Work) Pupils should learn: that when the upward force of air resistance balances the downward force of weight, the speed remains constant to interpret distance±time graphs and relate them to the situation from which data was obtained to translate data presented in one form into another Teaching activities K5 Core: Making a parachute Learning outcomes (from QCA Scheme of Work) Pupils: identify the forces of air resistance and weight state that as the parachute begins to descend, it speeds up and air resistance increases explain that when air resistance balances weight, the parachute no longer speeds up identify on a speed±time graph the point at which the upward and downward forces balance `tell the story' of a speed±time graph and translate a description of motion into a sketched speed±time graph Homework resources Specials (learning support) Extension resources K5 How do parachutes work? K5 How do parachutes work? K5 Interpreting speed±time graphs Unit K Speeding up Book spread C 3 Scheme of Work S Mitchell, 2002, The Heinemann Science Scheme Teacher and technician notes How fast is it moving? (1) Resources available K1a Materials required Core sheet How fast is it moving? (1) CD-ROM All resources customisable Links with Book 3 SoW Sc1 K1 9K page 1 2fgjkm Safety Make sure the surface is safe to walk or run on, with no obstacles in the way, and that students have suitable footwear. Be aware of students with health problems (eg asthma) that prevent exercise. Activity procedure 1 Students use a stopwatch to time each other walking a measured distance. 2 They calculate their average speed using the equation average speed 5 distance/time. 3 This is repeated, jogging and then running fast over the measured distance. They can use the same distance as for walking, or they may change it. Running the activity Per group stopwatch trundle wheel, long measuring tape or metre ruler Sample results A typical walking speed could be about 1 m/s. A good sprinter may average 7 or 8 m/s for 100 m. (Top sprinters complete 100 m in under 10 s; this is an average speed of just over 10 m/s.) Answers 1 Average speed increases from walking to jogging to running fast. 2 Walking ± could maintain average speed for quite a long time; jogging ± could maintain for a longer period of time, but not as long as walking; running fast ± could not maintain for much longer. 3 The longer the distance and time measured, the smaller the percentage error in those measurements. The reaction time would render short time periods measured with a stopwatch of no value. (The average reaction time is about 0.7 s.) 4 Average speed 5 total distance/total time Weather permitting, this activity can be done outside so that longer distances can be used. If this is not possible, a large room such as a school hall or gymnasium should be used. 1 C S Mitchell, 2002, The Heinemann Science Scheme Teacher and technician notes How fast is it moving? (2) Resources available Core sheet How fast is it moving? (2) CD-ROM All resources customisable Links with Book 3 SoW Sc1 K1 9K page 1 2dfgiko Safety Care must be taken in carrying the ramps, particularly if they are long. Ensure the car cannot fall off the end of the ramp onto the floor. A stop can be placed across the end of the ramp or a student can be instructed to catch the car. Activity procedure Students use a light gate and data logger to measure the speed of a toy car at a particular point as it runs down a ramp. Running the activity This is a simple activity to give students practice in the use of datalogging equipment to measure speed, before using it for more complicated activities later in the unit. It is designed to reinforce the difference between average speed (as found in Activity K1a) and speed at a point. 2 C S Mitchell, 2002, The Heinemann Science Scheme K1b If necessary, provide students with additional instructions about the use of the particular light gate and datalogging system used. Materials required Per group ramp means of raising one end of the ramp eg a pile of books or blocks toy car piece of card Plasticine to attach the card to the car light gate connected to data logger ruler box of scrunched up newspaper (or similar) to catch the trolley Answers 1 Activity K1a measures the average speed over a certain distance. Activity K1b measures the speed of a car at one point on its path. 2 Add more light gates along the ramp to give several values for the speed of the car as it runs down the ramp. The average of these values would be the average speed. 3 The timing starts as soon as the light beam is obstructed; it is not dependent on a person's reaction time. Teacher and technician notes Getting faster K2 Resources available Core sheet Getting faster Help sheet Getting faster CD-ROM All resources customisable Links with Book 3 SoW Sc1 K2 9K page 1 2c, f±l, n Safety Care must be taken in carrying the ramps, particularly if they are long. Ensure trolleys cannot fall off the end of the ramp onto the floor. A stop can be placed across the end of the ramp or a student can be instructed to catch the trolley. Activity procedure Core 1 Students predict how they think the speed of the trolley down the ramp will change with: a slope b mass of vehicle. 2 They use three light gates and a data logger to measure the speed of a dynamics trolley at various points as it runs down a ramp. 3 They repeat this, altering the steepness of the slope each time, and generate graphs to relate the speed at each light gate to the height of the ramp. 4 They repeat the procedure at a fixed ramp height for a range of trolley masses, and generate graphs to relate the speed at each light gate to the mass of the trolley. Help The optional help sheet provides fill-in results tables and structured questions. This can be used in addition to the core sheet to help less able students record their results. Running the activity The mass of the trolley can be varied by adding 100 g masses to the trolley. If the masses tend to slip off when the trolley is in motion, they can be attached with sticky tape. The activity can be fitted into a shorter time by having half the class vary the height of the ramp and the other half change the mass of the trolley. The results can be analysed and evaluated by the whole class to round off the lesson. Alternatively, varying the mass can be omitted or used as an extension activity for the quicker students. If insufficient light gates are available, the activity can be carried out using two rather than three light gates, and the help sheet amended. Materials required Per group ramp means of raising one end of the ramp, eg a pile of books or blocks dynamics trolley length of card to attach to the trolley three light gates connected to data logger two metre rulers set square 100 g masses, or similar balance box of scrunched up newspaper (or similar) to catch the trolley Answers Core 1 The speed of the trolley increases as it moves down the ramp. As the height of the ramp increases the speed of the trolley increases. As the mass of the trolley increases its speed stays the same. 2 Refer to students' predictions 3 Answer should include consideration of the scatter on the graphs. If the results are accurate, most points will lie on or close to the best fit line. Any anomalous points should be mentioned. Help 1 a higher (or faster or greater) than, higher (or faster or greater) than b increases c increases 2 a higher (or faster or greater) than, higher (or faster or greater) than b increases c stays the same 3 C S Mitchell, 2002, The Heinemann Science Scheme Teacher and technician notes Friction-free movement Resources available Core sheet Friction-free movement CD-ROM All resources customisable Links with Book 3 SoW Sc1 K3 9K page 2 2fghikm Activity procedure 1 Students use an air track to ensure frictionfree motion. They use three light gates connected to a data logger to show that the speed of the vehicle is constant when no forces act on it along its line of motion (Newton's First Law). 2 They repeat this for different initial pushing forces, giving different initial velocities. Running the activity It is important to level the air track correctly before beginning the activity if good results are to be obtained. The repetition for different initial pushing forces can be omitted if time is short and/or the group is of low ability. The initial force can be provided by a short push with the hand. This experiment is not intended to be quantitative; the idea of a greater initial force resulting in a greater constant speed is all that is required. 4 C S Mitchell, 2002, The Heinemann Science Scheme K3a If insufficient light gates are available, the activity can be carried out using two rather than three light gates. Materials required Per group linear air track with elastic band at one end blower vehicle with card attached ruler three light gates connected to data logger Answers 1 To eliminate the effect of friction 2 Its speed remains constant (approximately) because no forces act on the vehicle in its direction of motion. 3 The bigger the initial pushing force, the greater the (constant) speed of the vehicle. A bigger force gives the vehicle a greater initial speed. 4 The length of the card on the vehicle is constant. Speed 5 distance/time so the speed of the vehicle is inversely proportional to the time for which the light beam is interrupted. For constant speed, the time for the vehicle to pass through each light gate should be the same. Teacher and technician notes How do forces affect speed? Resources available Core sheet How do forces affect speed? Help sheet How do forces affect speed? CD-ROM All resources customisable Links with Book 3 SoW Sc1 K3 9K page 2 2cfghikmop Safety If forcemeters (newton meters) are used, choose suitable ones so that their springs will not be damaged. If a clamped pulley and hanging weights are used, take care to ensure that the weights cannot fall onto students' feet. Activity procedure Core 1 Students predict how they think the motion of a vehicle will change as the force pulling the vehicle is changed. 2 On an air track to ensure friction-free motion, they use three light gates connected to a data logger to measure the speed of the vehicle. 3 They repeat this for different pulling forces on the vehicle. Help The optional help sheet provides a fill-in results table and structured questions. This can be used in addition to the core sheet to help less able students record their results. Running the activity It is important to level the air track correctly before beginning the activity if good results are to be obtained. K3b reading and so this setup will give less accurate results than a pulley with hanging weights. For a rigorous quantitative approach the latter method is preferable. More able students could be directed to consider the need to keep the total moving mass constant, and to attach masses to the vehicle as they are removed from the mass hanger. If insufficient light gates are available, the activity can be carried out using two rather than three light gates, and the help sheet amended accordingly. Materials required Per group linear air track blower vehicle with card attached ruler three light gates connected to a data logger forcemeter (or clamped pulley and hanging weights) Answers Core 1 The speed increases as the vehicle moves along the air track. 2 The vehicle speeds up because there is an unbalanced force on it in the same direction as the direction of motion of the vehicle. 3 The acceleration increases as the pulling force is increased (reference to prediction). 4 Improvements suggested will depend on the method used to apply the force (see under `Running the activity' above). Help 1 a higher (or faster or greater) than b higher (or faster or greater) than c increases d increases It is relatively simple to set up a forcemeter to provide the constant known pulling force. However, it is difficult to maintain a constant 5 C S Mitchell, 2002, The Heinemann Science Scheme Teacher and technician notes How does mass affect speed? Resources available Core sheet How does mass affect speed? Help sheet How does mass affect speed? CD-ROM All resources customisable Links with Book 3 SoW Sc1 K3 9K page 2 2cfghikmop Safety If forcemeters (newton meters) are used, choose suitable ones so that their springs will not be damaged. If a clamped pulley and hanging weights are used, take care to ensure that the weights cannot fall onto students' feet. Activity procedure Core 1 Students predict how they think the motion of a vehicle being pulled with a steady force will change as the mass of the vehicle is changed. 2 On an air track to ensure friction-free motion, they use three light gates connected to a data logger to measure the speed of the vehicle. 3 They repeat this for different vehicle masses. Help The optional help sheet provides a fill-in results table and structured questions. This can be used in addition to the core sheet to help less able students record their results. It is relatively simple to set up a forcemeter to provide the constant known pulling force. However, it is difficult to maintain a constant reading and so this setup will give less accurate results than a pulley with hanging weights. This activity may be used together with, or as an alternative to, Activity K3b. The teacher may choose to have half the students working on each activity, reporting back to the whole class. If insufficient light gates are available, the activity can be carried out using two rather than three light gates, and the help sheet amended accordingly. Materials required linear air track blower vehicle with card attached ruler three light gates connected to data logger forcemeter (or clamped pulley and hanging weights) Plasticine (to change mass of vehicle) balance Answers Core 1 The speed increases as the vehicle moves along the air track. 2 The vehicle speeds up because there is an unbalanced force on it in the same direction as the direction of motion of the vehicle. 3 As the mass of the vehicle increases, the rate of increase of speed (acceleration) decreases (reference to prediction). Help 1 a higher (or faster or greater) than Running the activity b higher (or faster or greater) than It is important to level the air track correctly before beginning the activity if good results are to be obtained. c increases 6 C S Mitchell, 2002, The Heinemann Science Scheme d decreases K3c Teacher and technician notes How can we increase speed? K4 2 Students drop a small ball and a sheet of Resources available Core sheet How can we increase speed? CD-ROM All resources customisable paper (with its large face horizontal) from the same height simultaneously and observe their motion. 3 Students observe similar ball bearings falling through tall tubes of liquids such as water, oil or wallpaper paste. Links with Book 3 SoW Sc1 K4 9K page 3 2gkm 4 They use light gates placed at regular intervals to measure the speed of a ball bearing as it falls through each tall tube of liquid. 5 Students observe various Plasticine shapes Safety Instructions for the use of a vacuum pump should be followed carefully and a safety screen used to shield the class. Activity procedure falling through a tall tube of liquid. They use light gates to measure the speeds of the falling objects. 6 Students drag various shapes through a tank of water with talcum powder on the surface to show turbulence. Circus of activities: 1 Students drop two similar balls from the same height simultaneously and observe their motion. 7 Students compare the oscillations of a vibrating metal ruler when heavily damped by a piece of card attached at right angles to its direction of motion, and when lightly damped by attaching the card along its direction of movement (see diagram below). heavily damped bench metal ruler cork card top of cork two grooves at right angles bottom of cork clamp (holds end of ruler firmly) lightly damped one groove to attach to ruler Continued 7 C S Mitchell, 2002, The Heinemann Science Scheme Teacher and technician notes How can we increase speed? continued tall glass tube K4 air no air feather small ball or coin to vacuum pump 8 Students watch a demonstration of the `guinea and feather' experiment (see diagram above). The tall glass tube is inverted several times to show that the ball falls more quickly than the feather. 9 Air is then pumped out of the glass tube and it is inverted as before, showing that both now fall at the same rate. Running the activity Teachers could make a selection from these activities, or they could all be done as demonstrations if time is short. The glass tubes for activities 3, 4 and 5 need to be at least 1 m long if terminal velocity is to be observed clearly. The same tubes can be used for activities 3 and 4 to save setting up an extra apparatus. For activities 3, 4 and 5, the sizes of the ball bearings and Plasticine shapes will need to be entered into the data logger. Refer to Activity K1b if necessary. For activity 5, the shapes should include those that are streamlined, eg a sphere, a fish-like shape, and those that are not streamlined, eg a flat cuboid. The Plasticine will need to be 8 C S Mitchell, 2002, The Heinemann Science Scheme to vacuum pump weighed in advance to make sure each shape has the same mass. In activities 3 and 4, the ball bearings can stay in the bottom of the tube until all the groups have finished. In activity 5, it would be better to use two tubes of wallpaper paste so that the technician can empty out the tubes and remove the shapes between groups. Materials required For circus (per class or group) 1 two similar balls, eg tennis or ping-pong balls, metre ruler 2 one ball (as in 1), sheet of A4 paper, metre ruler 3, 4 two or three ball bearings, two or three tall glass tubes containing liquids of different viscosities such as water, oil and wallpaper paste, labelled to show what the tubes contain, three light gates connected to data logger, metre ruler to place the light gates at regular intervals 5 tall glass tube containing wallpaper paste (as above), three light gates connected to data logger, metre ruler to place the light gates at regular intervals, several equal masses of Continued Plasticine Teacher and technician notes How can we increase speed? continued 6 7 K4 long vessel of water eg length of large diameter plastic piping halved lengthwise, talcum powder sprinkled on the water, various shaped objects such as Plasticine shapes, children's toys, small tools, etc to include streamlined, irregular, cubic and spiky shapes, with a thread attached to drag them through the water 3 Ball bearings fall faster through water than through oil and wallpaper paste. two metal rulers (or similar), two table clamps, two pieces of card (about 5 cm by 4 cm), two corks with grooves to attach them to the ruler (see diagram on page 000) ± alternatively one set of apparatus can be set up and the students instructed to repeat the experiment with the card turned through 908 5 Results will depend on the shapes chosen. The greater the cross-sectional area, the greater the resistive force so the smaller the acceleration. 8, 9 vacuum pump, glass tube about 1 m long with a rubber bung in one end and a bung fitted with a narrow glass tube to attach to the vacuum pump at the other end, small ball or coin to represent a guinea, small feather, safety screen (see diagram on page 000) Answers 1 a Both balls get faster as they fall and both land together. b One sound (rather than two distinct sounds) as both balls land simultaneously. 2 The ball gains speed more rapidly than the paper and hits the ground first. There is a large upward force due to air resistance on the paper and a small downward force due to its weight. There is a smaller upward force due to air resistance on the ball and a larger downward force due to its weight. Therefore the ball has a bigger net (unbalanced) force down, so gains speed at a faster rate. 4 The speeds will depend on the lengths of the tubes, the liquids chosen and the size of the ball bearings. If the tubes are long enough the ball bearings should reach terminal (constant) velocity when the upward resistive force is equal to the weight. 6 Results will depend on the shapes chosen. Streamlined shapes such as a submarine, dolphin or whale will show the least turbulence. 7 a The size of each successive swing decreases. b The one with the card at right angles to its plane of oscillation c This card displaces more air molecules on each swing than the other so the force of air resistance on it is greater. This means the ruler loses energy more rapidly so the size of each swing decreases more rapidly and it stops sooner. 8 The coin falls faster. 9 When the air is removed, both fall together. (There may still be a small difference as not all the air can be removed.) 10 The force of air resistance is greater, and the weight less, for the feather than for the coin so the coin falls faster. When there is no air resistance force, both fall at the same rate (due to gravity). 9 C S Mitchell, 2002, The Heinemann Science Scheme Teacher and technician notes Making a parachute Resources available Core sheet Making a parachute CD-ROM All resources customisable Links with Book 3 SoW Sc1 K5 9K page 3 2afgikmp Safety They should test their design within the allotted time so that final adjustments can be made prior to the launch. Materials required Per group selection of suitable materials for the parachute, such as thin sheets of polythene, tissue paper, silky or fine nylon fabric thin string or thread scissors Students should take care when using scissors, which should be blunt ended. hole punch The finished parachute should be launched from a safe point, such as a balcony, so that students do not need to climb on benches. paper and pencil Activity procedure 1 Students draw up a plan to construct a model parachute. 2 They are given a fixed time (say 30 minutes) to make their parachutes. 3 There is then a contest to see which parachute takes longest to land safely, within a designated target area. Running the activity A variety of suitable materials should be provided so that the students can make their own selection. Students should be encouraged to modify their plans as construction proceeds, documenting any changes made. 10 C K5 S Mitchell, 2002, The Heinemann Science Scheme Plasticine or small weights Answers 1 Answer must refer to the student's design but possible comments could include: large surface area to trap air, giving a large upward force hemispherical shape to enclose the maximum volume with the minimum surface area 2 Low density or small mass to reduce the downward force, airtight so air is trapped 3 The parachute provides a large upward force; this reduces the net force on the parachutist, slowing him or her down. 4 Sensible improvements; answer depends on the original design. Activity How fast is it moving? (1) K1a Core Aim To measure average speed using a stopwatch. Equipment stopwatch trundle wheel, long measuring tape or metre ruler What to do 1 Draw a table like the one below ready to record your results. Do not exercise in unsuitable shoes. You must tell your teacher if you should not do exercise for health reasons. 2 Measure out a distance along the ground. This distance should be long (say 50 or 100 m if you are outside, or several circuits of a large hall if you are inside). 3 Get your partner to use a stopwatch to time how long you take to walk the measured distance. Record the time. 4 Calculate your average speed using the equation: distance time Swop over so that you time how long your partner takes to walk the measured distance. speed 5 5 6 Repeat steps 2 to 5 , jogging instead of walking. You can use the same distance, or change it if you prefer. 7 Repeat steps 2 to 5 again, running fast. Results Activity Distance (metres) Time (seconds) Average speed (m/s) Questions 1 Compare your average speed when walking, jogging and running fast. 2 Do you think you could have maintained your average speed in each case for a longer period of time? Explain your answer. 3 Why do you think it was important to use a long distance in this activity? 4 Explain what `average speed' means. 1 C S Mitchell, 2002, The Heinemann Science Scheme Activity How fast is it moving? (2) K1b Core Aim To measure the speed of a car down a ramp using a light gate and data logger. Equipment ramp piece of card ruler toy car What to do means of raising one end of the ramp Plasticine to attach the card to the car light gate connected to data logger stop to catch the car light gate card toy car ramp stop bench to data logger 1 Set up the ramp and light gate as shown in the diagram. 2 Attach a piece of card to one of the cars so that it will obstruct the light beam in the light gate. 3 Measure the length of the card from front to back (in cm). Enter this value into the computer when your system tells you to do so. 4 Arrange for the datalogging system to calculate the speed of the car as it passes through the light gate. 5 Place the car at the top of the track. 6 Set the datalogging system to record. Release the car so that it passes through the light gate. (Note: Your teacher may give you additional instructions on the use of your particular datalogging equipment.) 7 Questions 1 What is the difference between the two types of speed measured in Activity K1a and in this activity? 2 How could you modify the procedure used in this activity to give the type of speed found in Activity K1a? 3 Why can we use much smaller distances for this activity compared with the distances used in Activity K1a? 2 C S Mitchell, 2002, The Heinemann Science Scheme Activity Getting faster K2 Core Aim To investigate how the movement of a vehicle down a ramp varies with: a slope b mass of vehicle. Equipment ramp dynamics trolley two metre rulers set square 100 g masses means of raising one end of the ramp length of card to attach to the trolley three light gates connected to data logger balance stop to catch the trolley What to do 1 Predict how you think the speed of the vehicle will change when you: a vary the steepness of the ramp b vary the mass of vehicle. 2 Set up the ramp as shown in the diagram. light gate 1 light gate 2 light gate 3 card ramp trolley bench to data logger 3 Attach the card to the trolley. 4 Place the light gates so that they will show you how the speed of the trolley changes as it travels down the ramp. 5 Position one of the metre rulers along the edge of the ramp so that it measures 1 m up from the bottom of the runway. Continued 3 C S Mitchell, 2002, The Heinemann Science Scheme Activity Getting faster continued 6 Use the set square and the other metre ruler to measure the vertical height of the ramp above the bench at the 1 m mark. Note this height. 7 Release the trolley from the top of the ramp so that it passes between the light gates. 8 Repeat steps 5 to slope each time. 9 Use ICT to generate graphs, on the same axes, of the speed at each light gate against the height measured in step 6 . 10 Find the mass of the trolley using a balance. 11 Repeat steps 5 to 7 , this time using a fixed ramp height but varying the mass of the trolley each time by adding different numbers of 100 g masses to it. 7 , varying the steepness of the Use ICT to generate graphs, on the same axes, of the speed at each light gate against the total mass measured in step 10 . (Note: Your teacher may give you additional instructions on the use of your particular datalogging equipment.) 12 Analyse 1 What patterns have you found in your results? 2 Were your predictions correct? If not, why do you think your results were different? Evaluate 3 How accurate are your results? How do you know? 4 If the equipment is still set up, check any results that do not fit the pattern. 4 C S Mitchell, 2002, The Heinemann Science Scheme K2 Core Activity Getting faster K2 Help Aim To investigate how the movement of a vehicle down a ramp varies with: a slope b mass of vehicle. a Changing the steepness of the slope 1 Record your results in the table below. Height of ramp (cm) Speed at light gate 1 (cm/s) Speed at light gate 2 (cm/s) Speed at light gate 3 (cm/s) 1 Use your results to help you complete the following sentences. a The speed at light gate 2 is the speed at light gate 1. The speed at light gate 3 is the speed at light gate 2. b This tells us that the speed of the vehicle as it moves down the ramp. c As the height of the ramp increases, the speed of the vehicle . b Changing the mass 2 Record your results in the table below. Mass of vehicle (g) Speed at light gate 1 (cm/s) Speed at light gate 2 (cm/s) Speed at light gate 3 (cm/s) 2 Use your results to help you complete the following sentences. a The speed at light gate 2 is the speed at light gate 1. The speed at light gate 3 is the speed at light gate 2. b This tells us that the speed of the vehicle as it moves down the ramp. c As the mass of the vehicle increases, the speed of the vehicle . 5 C S Mitchell, 2002, The Heinemann Science Scheme Activity Friction-free movement K3a Core Aim To use an air track to study friction-free movement. Equipment linear air track with elastic band at one end vehicle with card attached three light gates connected to data logger blower ruler What to do 1 Level the air track so that it is horizontal. 2 Arrange the light gates, connected to a data logger, as shown in the diagram. light gate 1 light gate 2 light gate 3 card vehicle air track to data logger 3 Measure the length of the card attached to the vehicle (in cm). Enter this value into the computer when your system tells you to do so. 4 Switch on the blower. If the track is levelled correctly, the vehicle will hover without moving sideways. Adjust the track again if necessary. 5 Arrange for the datalogging system to calculate the speed of the vehicle as it passes through each light gate. 6 Place the vehicle at one end of the air track. 7 Set the datalogging system to record. 8 Push the vehicle and then release it so that it passes through the light gates. 9 Repeat steps 5 to 7 for smaller and larger pushing forces. Print out your results. (Note: Your teacher may give you additional instructions on the use of your particular datalogging equipment.) 10 Continued 6 C S Mitchell, 2002, The Heinemann Science Scheme Activity Friction-free movement continued K3a Core Questions 1 Why is an air track used for this activity? 2 What do you notice about the speed of the vehicle along the air track? Explain why this happens. 3 What do you notice about the speed of the vehicle along the air track when the initial pushing force is changed? Explain why this happens. 4 If the data logger had measured the time taken by the vehicle to pass through each light gate, instead of its speed, similar conclusions could have been made. Explain why. 7 C S Mitchell, 2002, The Heinemann Science Scheme Activity How do forces affect speed? K3b Core Aim To investigate how the pulling force applied to a vehicle affects its speed. Equipment linear air track vehicle with card attached three light gates connected to data logger forcemeter (or clamped pulley and hanging weights) blower ruler What to do 1 Predict how you think the motion of the vehicle will change when you alter the pulling force applied to the vehicle. 2 Set up the apparatus as shown in one of the diagrams so that a steady force can be applied to the vehicle. You will be using either a forcemeter or a clamped pulley light gate 3 light gate 2 light gate 1 forcemeter pull with steady force card vehicle air track to data logger light gate 3 light gate 2 light gate 1 string clamped pulley card vehicle air track hanging weights to data logger 8 C S Mitchell, 2002, The Heinemann Science Scheme Continued Activity How do forces affect speed? continued K3b Core 3 Measure the length of the card attached to the vehicle (in cm). Enter this value into the computer when your system tells you to do so. 4 Switch on the blower. If the track is levelled correctly, the vehicle will hover without moving sideways. Adjust the track again if necessary. 5 Arrange for the datalogging system to calculate the speed of the vehicle as it passes through each light gate. 6 Set the datalogging system to record. 7 Pull the vehicle along the air track with a constant force, either by keeping the reading on the forcemeter at a constant value of (say) 2 N, or by releasing the weights on the pulley, while the data logger records the speed of the vehicle at each light gate. 8 Repeat this procedure for four more constant pulling forces. 9 Print out your results. Questions 1 What do you notice about the speeds recorded at each light gate? 2 Explain why the vehicle moves in this way. 3 How does the motion of the vehicle change as the pulling force is increased? Does this agree with your prediction? 4 How could you improve this procedure? 9 C S Mitchell, 2002, The Heinemann Science Scheme Activity How do forces affect speed? K3b Help Aim To investigate how the pulling force applied to a vehicle affects its speed. Results 1 Record your results in the table below. Pulling force (N) Speed at light gate 1 (cm/s) Speed at light gate 2 (cm/s) Speed at light gate 3 (cm/s) Question 1 Use your results to help you complete the following sentences. a The speed at light gate 2 is the speed at light gate 1. b The speed at light gate 3 is the speed at light gate 2. c This tells us that the speed of the vehicle as it moves along the air track. d As the pulling force increases, the speed of the vehicle 10 C S Mitchell, 2002, The Heinemann Science Scheme . Activity How does mass affect speed? K3c Core Aim To investigate how the mass of a vehicle affects its speed when a constant force acts on it. Equipment linear air track vehicle with card attached three light gates connected to data logger forcemeter (or clamped pulley and hanging weights) Plasticine (to change mass of vehicle) blower ruler balance What to do 1 Predict how you think the motion of the vehicle being pulled by a steady force will change when you alter the mass of the vehicle. 2 Set up the apparatus as shown in one of the diagrams so that a steady force can be applied to the vehicle. You will be using either a forcemeter or a clamped pulley light gate 3 light gate 2 light gate 1 forcemeter pull with steady force card vehicle air track to data logger light gate 3 light gate 2 light gate 1 clamped pulley string card vehicle hanging weights air track to data logger Continued 11 C S Mitchell, 2002, The Heinemann Science Scheme Activity How does mass affect speed? continued 3 Find the mass of the vehicle and card using a mass balance. 4 Measure the length of the card attached to the vehicle (in cm). Enter this value into the computer when your system tells you to do so. 5 Switch on the blower. If the track is levelled correctly, the vehicle will hover without moving sideways. Adjust the track again if necessary. 6 Arrange for the datalogging system to calculate the speed of the vehicle as it passes through each light gate. 7 Set the datalogging system to record. 8 Pull the vehicle along the air track with a constant force, either by keeping the reading on the forcemeter at a constant value of (say) 2 N, or by releasing the weights on the pulley, while the data logger records the speed of the vehicle at each light gate. 9 Increase the mass of the vehicle by adding Plasticine to it. Find the new mass. 10 Repeat steps 8 and 9 , keeping the pulling force at the same constant value. Obtain results for five different vehicle masses. 11 Print out your results. Questions 1 What do you notice about the speed of the vehicle as it passes through each light gate? 2 Explain why it moves in this way. 3 How does the motion of the vehicle change as the mass of the vehicle is increased? Does this agree with your prediction? 12 C S Mitchell, 2002, The Heinemann Science Scheme K3c Core Activity How does mass affect speed? K3c Help Aim To investigate how the mass of a vehicle affects its speed when a constant force acts on it. Results 1 Record your results in the table below. Total mass of vehicle (kg) Speed at light gate 1 (cm/s) Speed at light gate 2 (cm/s) Speed at light gate 3 (cm/s) Question 1 Use your results to help you complete the following sentences. a The speed at light gate 2 is the speed at light gate 1. b The speed at light gate 3 is the speed at light gate 2. c This tells us that the speed of the vehicle as it moves along the air track. d As the mass of the vehicle increases, the speed of the vehicle . 13 C S Mitchell, 2002, The Heinemann Science Scheme Activity How can we increase speed? K4 Core Aim To investigate some of the factors that affect the speed of an object. Equipment 1 two similar balls, metre ruler 2 ball, sheet of paper, metre ruler 3, 4 two or three ball bearings, two or three tall glass tubes containing different liquids, three light gates connected to data logger What to do Answer the questions as you carry out each activity. 1 Drop the two balls provided from the same height (say 1 m) simultaneously. Observe their motion. Listen as they hit the floor. 1 a What do you see? b What do you hear? 2 Drop the small ball and the sheet of paper, with its large face horizontal, from the same height (say 1 m) simultaneously. Observe their motion. 2 What happens? Explain your observation. 3 Drop ball bearings through the tall tubes containing different liquids. Release them simultaneously into the different tubes. 3 What do you see? 4 Now use light gates 1, 2 and 3 to measure the speed of a ball bearing as it falls through each liquid in turn. Make a table like the one below to record your results. Put in the units of speed that you are measuring in. to data logger light gate 1 light gate 2 light gate 3 Liquid Speed at light gate 1 Speed at light gate 2 Speed at light gate 3 4 What happens to the speed of the ball bearing as it falls in each liquid? 14 C S Mitchell, 2002, The Heinemann Science Scheme Continued Activity How can we increase speed? continued K4 Core Equipment 5 tall glass tube containing wallpaper paste, three light gates connected to data logger, Plasticine 6 long vessel of water, talcum powder sprinkled on the water, various shaped objects on threads 7 two metal rulers, two table clamps, two pieces of card, two corks with grooves 8, 9 vacuum pump, long glass tube, rubber bung, bung fitted with a narrow glass tube, small ball or coin, small feather, safety screen What to do 5 Use the Plasticine to make several different shapes. Drop each shape in turn through the tall tube of wallpaper paste. Use light gates 1, 2 and 3 to measure the speed of each shape as it falls through the wallpaper paste. Make a table like the one below to record your results. Put in the units of speed that you are using. Shape Speed at light gate 1 Speed at light gate 2 Speed at light gate 3 5 Compare your results for each shape. 6 Drag each of the shapes provided through the water. (The talcum powder will allow you to see any turbulence more easily.) 6 Compare the amount of turbulence with each of the different shaped objects. 7 Set the two clamped rulers vibrating simultaneously. Try to pull each up by the same amount so that you can make a fair comparison. 7 a What happens to the size of each successive vibration? b Which ruler stops vibrating first? c Explain why this happens. 8 Your teacher will demonstrate a coin and a feather falling. 8 Which falls faster, the coin or the feather? 9 Your teacher will remove most of the air from the tube. 9 Which falls at a faster rate now, the coin or the feather? 10 Explain the difference in your answers to questions 9 and 10. 15 C S Mitchell, 2002, The Heinemann Science Scheme Activity Making a parachute K5 Core Aim To make a parachute. Equipment scissors hole punch Plasticine or small weights thin string or thread selection of suitable materials for the parachute paper and pencil What to do 1 Design a parachute. It must fall gently to the ground when released so that your parachutist is unharmed. You should consider: its shape and size the best material to use how to construct it how to represent the parachutist. Draw up a detailed plan of your proposed parachute. 2 Make your parachute using the materials provided. You may modify your design as you work, but amend your written plan accordingly. Your teacher will tell you how long you have to complete your model. Try to test it and make any necessary adjustments before the time is up. 3 When your teacher tells you to, launch your parachute for testing. The winning parachute could be the one that takes longest to fall and lands within a designated target area. Questions 1 Use your knowledge of physics to explain why you chose that particular shape and size for your parachute. 2 What properties did you look for when selecting a suitable material for the parachute? 3 Explain how a parachute allows a person to fall to the ground safely. 4 What improvements would you make to your design if you were going to construct another parachute? 16 C S Mitchell, 2002, The Heinemann Science Scheme Homework How fast is it moving? K1 1 Read the following passages a to e. Some are true and some are false. Write `true' or `false' for each. a Jonathon runs 5 km in 30 minutes. Darren runs 9 km in 60 minutes. They have the same average speed. b Reena is driving in an area where the speed limit is 50 km/h. She travels 10 km in 10 minutes. She has broken the speed limit. c Jenny runs one lap of the athletics track in 4 minutes. Pete runs one lap in 3 minutes. Jenny is going faster than Pete. d A car that travels 60 km in 45 minutes is going faster than a car that travels 400 m in 12 s. e A train travels at an average speed of 150 km/h. It travelled faster than 150 km/h for part of the time. 2 Sound travels at a speed of 340 m/s. How long does it take to travel 850 m? 3 Ben walks to school in 15 minutes at an average speed of 4 km/h. How far away from school is his house? ........................................................................................ Homework How fast is it moving? K1 1 Read the following passages a to e. Some are true and some are false. Write `true' or `false' for each. a Jonathon runs 5 km in 30 minutes. Darren runs 9 km in 60 minutes. They have the same average speed. b Reena is driving in an area where the speed limit is 50 km/h. She travels 10 km in 10 minutes. She has broken the speed limit. c Jenny runs one lap of the athletics track in 4 minutes. Pete runs one lap in 3 minutes. Jenny is going faster than Pete. d A car that travels 60 km in 45 minutes is going faster than a car that travels 400 m in 12 s. e A train travels at an average speed of 150 km/h. It travelled faster than 150 km/h for part of the time. 2 Sound travels at a speed of 340 m/s. How long does it take to travel 850 m? 3 Ben walks to school in 15 minutes at an average speed of 4 km/h. How far away from school is his house? 1 C S Mitchell, 2002, The Heinemann Science Scheme Homework Getting faster K2 1 As a train passed through a station, its speed was measured as 100 km/h. The train took 5 hours to travel a distance of 600 km. Both these statements are correct, but Tom thinks one of them must be wrong. Write down what you would say to convince Tom that both statements can be true. 2 The distance a car had travelled from its starting point was measured every 10 s for 60 s. The results are shown in the table. Time (s) Distance (m) 0 0 10 100 20 400 30 900 40 1400 50 1700 60 2000 Describe the motion of the car as fully as you can. 3 A class is planning an experiment to measure the time a ball takes to fall through a height of 1 m. They know the time will be very short. One group suggests using a stopwatch that reads to 1/100 s. a Why isn't this a good idea? b Suggest a better method. 2 C S Mitchell, 2002, The Heinemann Science Scheme Homework How do forces affect speed? K3 1 a Name the forces shown by the letters A to G in the diagrams of moving objects below. C B A E G F D b The length of the line represents the size of the force. The longer the line, the bigger the force. The arrow on each force shows its direction. i List the pairs of forces that are balanced. ii List the pairs of forces that are unbalanced. c Describe the motion of each object. d How would the motion of the car change if: i force A increased (with B unchanged)? ii force B increased (with A unchanged)? e How would your answers to c and d have changed if the car were not moving before the forces were applied? 3 C S Mitchell, 2002, The Heinemann Science Scheme Homework How can we increase speed? K4 1 The table below shows the fuel consumption of a car in kilometres per litre (km/l) when travelling at different steady speeds on a motorway. Speed (km/h) Fuel consumption (km/l) 90 12.5 110 10.2 130 7.4 Explain why the car consumes more fuel at higher speeds. 2 The nose cone of Concorde expands in flight because it gets very hot. Explain why it gets hot. 3 Look at the picture of an athlete wearing a streamlined outfit. Write a radio advertisement for this outfit, emphasising the advantages its streamlined shape will bring. 4 C S Mitchell, 2002, The Heinemann Science Scheme Homework How do parachutes work? K5 1 Copy and complete the following sentences about a freefall parachutist. Use some of the phrases in the box to fill the gaps. decreases downward faster increases slower slows down speeds up travels at a constant speed upward As the parachutist begins to descend, his speed . The force of air resistance so his speed at a rate. When the force of air resistance is equal to the weight of the parachutist, he . The parachutist falls in a horizontal position with arms and legs spread out. This the force of air resistance, so the speed of the parachutist . When the parachute opens, it provides a large force. This force is greater than the weight of the parachutist, so he . He hits the ground at a speed so is not hurt. 2 Look at the graphs below. C Time Distance B Distance Distance A Time Time Which graph, A, B or C, represents: a constant speed? b speeding up? c slowing down? 5 C S Mitchell, 2002, The Heinemann Science Scheme Specials How fast is it moving? K1 Fill in the gaps in the following questions. 1 a Car A travelled 300 km in 5 hours. In one hour it travelled km. Its average speed was km/h. Its maximum speed was more than km/h. b Car B travelled 100 km in 2 hours. Its average speed was km/h. c Which car, A or B, had the greater average speed? 2 Tim runs 200 m in 20 s. Jo runs 200 m in 30 s. a Who runs faster, Tim or Jo? b How did you decide? 3 A horse runs 1 km in 50 s. 1 km = m Use the equation: distance time to find the speed of the horse in m/s. speed 5 Show your working clearly in the space below. 1 C S Mitchell, 2002, The Heinemann Science Scheme Specials Getting faster K2 1 The table below shows the speed of a bus as it moves away from a bus stop. Time (s) Speed (m/s) 0 0 10 5 20 10 30 15 40 20 50 20 a Put a square box around the times when the bus was travelling at a constant speed. b Put a circle around the times when the speed of the bus was increasing. c Complete this equation: average speed 5 distance time distance 5 3 d The average speed of the bus during the 50 second period was 12 m/s. Use this to find the distance the bus travelled in 50 s. 2 Some typical speeds for several moving objects are given below, but they are muddled up. Draw in lines to match each object with the correct speed. Objects tiger 0.0005 m/s aeroplane 2 m/s boy 20 m/s snail 600 m/s 2 C Speeds S Mitchell, 2002, The Heinemann Science Scheme Specials How do forces affect speed? K3 1 Pat rolls a marble down a ramp. ramp marble bench Complete these sentences by crossing out the incorrect words. a The speed of the marble increases/decreases/stays the same as it rolls down the ramp. b When Pat makes the ramp higher, the speed of the marble as it runs down it is greater/smaller/the same as before. c Pat lowers the ramp until the forces on the marble are balanced. The marble now speeds up/slows down/travels at a constant speed. d Draw an arrow on the diagram to show the weight of the marble. Label it W. e Draw an arrow on the diagram to show the friction force acting on the marble. Label it F. f Friction makes the marble speed up/slow down. 3 C S Mitchell, 2002, The Heinemann Science Scheme Specials How can we increase speed? K4 The word search contains 18 words used when describing how the shape of an object affects its motion. Look for the words listed below. t r n g l i p a r t i c l e s m a v s p e e d x n d r a g b n i h e a t x f a e s h a p e r r v s j b a f r i c t i o n a r d y y u n a w i n d o x q c e s u b m a r i n e u a i k i s r q f c f o r c e s h y n n i a c c e l e r a t i o n k g s l o w s d o w n l h t d l c t c k d i v b j w w m m l p a a d f u n b a l a n c e d p r n v i r z w e i g h t z q c o c k s g m h y f b w z h n k i e g h g t w s m o o t h i l n s t r e a m l i n e d y j k Here are the words: acceleration air resistance drag fish forces friction heat particles racing car shape slows down smooth speed streamlined submarine unbalanced weight wind 4 C S Mitchell, 2002, The Heinemann Science Scheme Specials How do parachutes work? K5 The sentences below describe the forces acting on a freefall parachutist and how her speed changes, from the moment she falls out of the aeroplane until she reaches the ground. However, the sentences are in the wrong order. Write the letters in the correct order. A When the force of air resistance is equal to the weight of the parachutist, she travels at a constant speed. B The parachutist is travelling slowly when she lands, so she is not hurt. C The force of air resistance increases as the parachutist speeds up. D When the parachute opens, the upward force suddenly increases so the parachutist slows down. E When the upward force on the parachute is equal to the weight, the speed is constant again but is less than before. F As the parachutist begins to descend, she speeds up. The correct order is ........................................................................................ Specials How do parachutes work? K5 The sentences below describe the forces acting on a freefall parachutist and how her speed changes, from the moment she falls out of the aeroplane until she reaches the ground. However, the sentences are in the wrong order. Write the letters in the correct order. A When the force of air resistance is equal to the weight of the parachutist, she travels at a constant speed. B The parachutist is travelling slowly when she lands, so she is not hurt. C The force of air resistance increases as the parachutist speeds up. D When the parachute opens, the upward force suddenly increases so the parachutist slows down. E When the upward force on the parachute is equal to the weight, the speed is constant again but is less than before. F As the parachutist begins to descend, she speeds up. The correct order is 5 C S Mitchell, 2002, The Heinemann Science Scheme Extension Speed records K1a Throughout history, people have always tried to travel faster and faster, improving the design of existing means of transport and developing new methods on land, sea and in the air. Land speed records The earliest official land speed record is credited to a Frenchman, Gaston Chasseloup-Laubat, who averaged 39 mph over a measured mile in 1898 using an electrically powered vehicle. This speed was almost doubled in 1902 with the arrival of the internal combustion engine. William K Vanderbilt achieved a new record of 76 mph in the USA. This was gradually improved upon throughout the first half of the twentieth century. John Cobb of Great Britain reached the incredible speed of 394 mph in 1947 on the Bonneville Salt Flats in Utah, USA. The development of jet-propelled cars in the 1960s led to a rapid increase in the record to 600 mph by the end of 1965. In 1997, Andy Green from Great Britain achieved a new record of 767 mph in ThrustSSC. ThrustSSC 1 How long did the following take to cover a measured mile when breaking the land speed record? a Gaston Chasseloup-Laubat b John Cobb c Andy Green 2 The recorded speed is the average of two measured miles in opposite directions. Why is this? 3 The Bonneville Salt Flats have been used for many land speed record attempts. Why do you think this is a good site? Water speed records The world water speed record for propeller-driven boats rose from 71 mph in 1919 to 178 mph in 1952. Between 1955 and 1964, Donald Campbell gradually increased the water speed record in his jet-speed boat Bluebird from 202 mph to 276 mph. He was killed while attempting yet another world record on Lake Coniston in Cumbria. In the last 20 years Ken Warby, an Australian, has increased the record to over 300 mph and is now building a new boat, 50% more powerful than his previous one. Bluebird 4 Why is it possible to reach a higher speed in a car than in a boat? 5 Ken Warby's new boat is said to be `50% more powerful than his previous one'. Explain why it will not be able to increase the world water speed record by 50%. 1 C S Mitchell, 2002, The Heinemann Science Scheme Extension Light years Light travels at a speed of 300 000 km/s. This is very fast, so we usually think of it as travelling instantaneously. 1 How long does light take to travel a distance of 12 000 km? (Your answer should be very small.) The planets and stars are a long way from us. When we look out into space, the light from them takes a considerable time to reach us. 2 Earth is about 150 000 000 km from the Sun. How long does light from the Sun take to reach us? The Sun is a star, just like the millions of other stars we see in the sky at night. But the Sun is much closer to us than any other star. It takes four years for light to travel to us from the next nearest star. This means that we see the star as it was four years ago. We say that the star is four light years away. A light year is the distance light travels in one year. Light years are used to measure very large distances ± distances on an astronomical scale. 3 How far, in kilometres, does light travel in one year? Your answer is the number of kilometres in one light year. 4 Betelgeuse is another star in our galaxy (the Milky Way). Betelgeuse is 190 light years away from us. a When we see light from Betelgeuse today, how long ago did that light leave the star? b How far away is Betelgeuse in kilometres? There are many other galaxies in the Universe. The nearest galaxy to the Milky Way is Andromeda. The light from Andromeda takes about 2 million years to reach us. When that light began its journey, Earth was very different from the Earth we know today. Humans have only existed for about 50 000 years. It is hard to imagine the vastness of the Universe. When you look at the stars, you are literally looking back in time! 5 What are the advantages of using light years as the unit of distance when considering objects that are a long way away? 2 C S Mitchell, 2002, The Heinemann Science Scheme K1b Extension Measuring the speed of a tennis ball K2 Read about how a radar gun is used to measure speed, and answer the questions that follow. If you watch Wimbledon or other Grand Slam tennis matches, you may have noticed that the speed of each service is displayed. This speed is measured using a radar gun. Radar stands for radio detection and ranging. A radio beam is transmitted towards the ball. It is reflected off the ball back to a receiver, in the same way that light is reflected by a mirror. If the ball were stationary, the incident and reflected radio beams would have the same frequency. If the ball is moving, the signal reflected back has a slightly different frequency. The faster the ball is moving, the greater the difference in frequency. This is called the Doppler effect. The radar gun automatically computes the speed of the ball and displays it on a screen. At Wimbledon two specially designed radar sensors are used, similar to those used by the police to detect speeding motorists. These sensors are positioned behind the base line at either end of Centre Court and Number 1 Court. They measure the speed of service throughout the tournament, providing an invaluable statistic for keen fans. In 2001 Wimbledon's fastest servers were: Men Mark Philippoussis (USA) 219 km/h Greg Rusedski (GB) 214 km/h Women Venus Williams (USA) 190 km/h Serena Williams (USA) 186 km/h 1 At what point in its motion is the ball travelling fastest? (This is the point at which the speed of the ball is measured.) 2 At Wimbledon, the service speeds are recorded in mph (miles per hour). 1 km is equal to 5/8 mile. Calculate the top service speeds for men and women in mph. 3 Suggest why men have a higher top serving speed than women. (Think of as many reasons as possible.) 4 Suggest how a similar radar gun can be used by the police to detect speeding motorists. 3 C S Mitchell, 2002, The Heinemann Science Scheme Extension Streamlining cars K4 The large cars of the 1950s were much loved by drivers after the difficult years immediately after the Second World War, but they were not economical ± they had a high fuel consumption. The fuel crisis of the 1970s led to a revolution in car production towards smaller and more streamlined designs. A Cadillac from the 1950s. A 1980s Audi 500s ± this was considered very streamlined in its day. The wind tunnel is the main tool used by engineers to test car designs for speed and fuel economy. The wind resistance of a car is a function of many factors, combined in a number called the drag coefficient. The lower the drag coefficient, the less resistance a car offers to the wind. In the past 60 years engineers have cut the drag coefficient for cars in mass production nearly in half, from about 0.70 to about 0.40. Fuel consumption, measured in miles per gallon (mpg), is improved by 5% for every 10% improvement in drag coefficient. Car shapes are tested for streamlining in a wind tunnel, using smoke to show the air flow. 1 Give three factors that should be considered when designing a car to minimise air resistance. 2 Air resistance increases as the speed of the car increases. Explain why. 3 A low drag coefficient improves the top speed of a car without the need for a more powerful engine. Explain why. 4 Explain how a high drag coefficient increases the fuel consumption of a car. 5 Why is a wind tunnel an important tool when designing a car? 6 A car has a drag coefficient of 0.60 and a fuel consumption of 30 mpg at a steady speed of 56 mph. The design is modified so that the drag coefficient is reduced by 10%. a Calculate the new drag coefficient. b What is the new fuel consumption at a steady speed of 56 mph? c How would the fuel consumption be affected if the car were travelling at a steady speed of 70 mph? Give a reason for your answer. 4 C S Mitchell, 2002, The Heinemann Science Scheme Extension Interpreting speed±time graphs K5 A speed±time graph shows how the speed of an object varies with time. On the graph, an upward sloping line shows the car getting faster, and a horizontal line shows a constant speed. 1 The graphs below show the motion of a car on three different occasions. a Describe the motion as fully as you can in each case. B C 40 30 30 30 20 10 0 10 20 30 Time (s) 40 Speed (m/s) 40 Speed (m/s) Speed (m/s) A 40 20 10 0 10 20 30 Time (s) 20 10 0 40 10 20 30 Time (s) 40 b The distance travelled is equal to the area under a speed±time graph. Use the graphs to find the distance travelled by the car in each case. 2 Sketch a speed±time graph for a train travelling between two stations. 3 a Use the values in the table to plot a graph showing how the speed of a car varies over a 60 s period. Time (s) Speed (m/s) 0 0 5 5 10 10 15 15 20 15 25 15 30 15 35 15 40 15 45 11 50 7.5 55 3.5 60 0 b Describe the motion of the car as fully as you can. c Use your graph to find the total distance travelled by the car during the 60 s period. d What can you say about the forces acting on the car between 15 s and 40 s? 5 C S Mitchell, 2002, The Heinemann Science Scheme Test yourself Speeding up Unit K 1 The table shows the time taken by five athletes to run a 100 m race. Athlete Time (s) Jo 11.8 Pat 10.0 Chris 10.5 Nita 11.4 George 12.0 Position a Complete the last column to show the order in which the athletes finished the race. b What was Pat's average speed? c Was Pat's top speed more than, less than or equal to your answer to b? d Why would a hand-held stopwatch not give accurate enough times for this race? 2 Draw in lines to match up each force with its correct meaning. Forces Meanings weight the force due to a moving object displacing air molecules thrust a force that opposes motion friction the force on an object due to gravity air resistance a forward pushing force 3 Complete the following sentences. Choose from the words below to fill the gaps. balanced constant downwards gravity stationary upwards air resistance weight If all forces acting on an object are balanced, the object is either or moving at a The force of force acts speed. acting on an object gives it weight. This . If an object is falling through the air, another force called acts in an direction. Continued 1 C S Mitchell, 2002, The Heinemann Science Scheme Test yourself Speeding up continued Unit K 4 Look at the diagrams of a submarine. The forces acting on it are represented by arrows, and the length of each arrow is proportional to the size of the force. The submarine starts from rest. Under each diagram circle the word or words that describe its direction of motion when the forces shown are acting on it. a up down forwards backwards b up down forwards backwards c up down forwards backwards d up down forwards backwards 5 Modern cars are designed to have a streamlined shape so that they can go faster. a What force does streamlining reduce? b How does this allow the car to go faster? c What can you say about the forces on a car when it has reached its top speed? d Why does streamlining increase the top speed of a car? Continued 2 C S Mitchell, 2002, The Heinemann Science Scheme Test yourself Speeding up continued Unit K 6 The diagrams show a skydiver in free fall and after her parachute has opened. after parachute has opened in free fall a Show the weight of the skydiver in each diagram with an arrow labelled W. b Show the force of air resistance in each diagram with an arrow labelled R. c Complete the following sentences by crossing out the incorrect words. i The size of force W increases/decreases/stays the same when the parachute opens. ii The size of force R increases/decreases/stays the same when the parachute opens. iii The speed increases/decreases/stays the same when the parachute opens. iv When W 5 R, the speed increases/decreases/stays the same. 7 The distance±time graph below describes the motion of a car. 60 Distance (m) 50 40 30 20 10 0 1 2 3 4 Time (s) 5 6 a How far does the car travel in 4 s? _______________ b Find the speed of the car during the first 4 s. Continued 3 C S Mitchell, 2002, The Heinemann Science Scheme Test yourself Speeding up continued c What happens between 4 s and 6 s? d Draw a line on the graph to show the motion of a different car that, during the first 4 s, travels at half the speed of the original car. 8 Solve the anagrams. refoc it changes motion deeps how fast something is going tygirav it gives you weight emit it is measured in seconds ira it produces resistance to the motion of a bungee jumper 4 C S Mitchell, 2002, The Heinemann Science Scheme Unit K End of unit test Speeding up Unit K Tier 3±6 1 Look at the diagram of two fish, P and Q. P Q a Which fish, P or Q, has the more streamlined shape? b Explain why the more streamlined fish is able to swim faster. (1 mark) (1 mark) 2 The diagram shows a dish on a table. B A a b c d What is force A? What is force B? What can you say about the size of forces A and B? Some fruit is put into the bowl. (1 mark) (1 mark) (1 mark) What can you say about the size of forces A and B now? (2 marks) 3 The table below shows the times taken by four students to run 200 m. Student Time (s) Andy 25.4 Beth 28.9 Carl 22.6 Dhara 26.1 a Who had the highest speed? b Who had the lowest speed? (1 mark) (1 mark) Continued 1 C S Mitchell, 2002, The Heinemann Science Scheme End of unit test Speeding up continued Unit K Tier 3±6 4 The diagram shows the forces acting on a car. It was not moving before the forces started to act. 1000 N 200 N a How big is the unbalanced force acting on the car? b Is the unbalanced force acting forwards or backwards? c Will the car move forwards, move backwards or remain stationary? (1 mark) (1 mark) (1 mark) 5 Kim lives 5 miles from school. It takes her 15 minutes to get to school. Priya lives 15 miles from school. It takes her 40 minutes to get to school. a Who travels at the higher average speed? b Kim stops at a shop for 5 minutes on her way home. What is her average speed in miles per hour for the journey home? Show your working. 6 The diagram shows a parachutist. (1 mark) (2 marks) R a What do we call force R? b What happens to the size of force R as the speed of the parachutist increases? (1 mark) (1 mark) weight, W c Look at the three diagrams of the parachutist below. The longer the line, the greater the force. X Y Z R R R W W W For each diagram, X, Y and Z, state whether the parachute is speeding up, slowing down or falling at a steady speed. (3 marks) 2 C S Mitchell, 2002, The Heinemann Science Scheme End of unit test Speeding up Unit K Tier 5±8 1 The diagram shows the forces acting on a car. It was not moving before the forces started to act. 1000 N 200 N a How big is the unbalanced force acting on the car? b Will the car move forwards, move backwards or remain stationary? (1 mark) (1 mark) 2 a Kim lives 5 miles from school. It takes her 15 minutes to get to school. Priya lives 15 miles from school. It takes her 40 minutes to get to school. Who travels at the higher average speed? (1 mark) b Danny cycles to school at an average speed of 8 km/h. How fast does he cycle in m/s? Show your working. (2 marks) 3 The graph shows how far a cyclist travels in 10 s. Distance (m) 40 30 20 10 0 1 2 3 4 5 6 7 8 9 10 Time (s) Use the graph to answer these questions. a What was her average speed during the 10 s period? (1 mark) b Between which times was she travelling fastest? (1 mark) c When cyclists want to go fast, they often crouch down. How does this help them to go faster? (1 mark) Continued 3 C S Mitchell, 2002, The Heinemann Science Scheme End of unit test Speeding up continued Unit K Tier 5±8 4 A model rocket takes off vertically. It has a weight of 1 N. a The rocket motor gives it an upward thrust of 3 N. What is the unbalanced upward force on the rocket? b How does the speed of the rocket change, if at all, just after the launch? c The thrust of the rocket motor remains constant. As the fuel is used up, the mass of the rocket decreases. i How does this affect its motion? ii Explain your answer. (1 mark) (1 mark) (1 mark) (2 marks) 5 The diagram below shows a parachutist before he opens his parachute. R weight, W a i What happens to force R as the speed of the parachutist increases? (1 mark) ii Use ideas about particles to explain why this happens. (1 mark) iii What can you say about the speed of the parachutist when the forces W and R are equal? (1 mark) 6 The diagram below shows a parachutist after opening his parachute. R W i What happens to force R when the parachute opens? ii When the parachute opens, the parachutist slows down. Explain why this happens by referring to forces R and W. iii Explain how R changes as the parachutist falls towards the ground. iv What can you say about the speed of the parachutist when R becomes equal to W, compared with your answer in a iii? 4 C S Mitchell, 2002, The Heinemann Science Scheme (1 mark) (1 mark) (1 mark) (1 mark) Mark scheme Speeding up Unit K Tier 3±6 Question Part Answer Mark Level 1 a P 1 3 b There is less resistance to its motion or water resistance is less or it displaces fewer water molecules each second 1 5 a Weight (of the dish) 1 3 b Reaction force or force of table on dish 1 4 c A and B are equal 1 4 d A and B both increase but remain equal 1 1 5 5 a Carl 1 4 b Beth 1 4 a 800 N 1 5 b Forwards 1 5 c Move forwards 1 4 a Priya 1 6 b Time for journey home 5 20 minutes Average speed 5 5 miles/0.33 hours 5 15 mph (Accept for one mark: 15 or 15 mph without showing working) 1 1 6 6 a Air resistance (force of) 1 4 b R increases 1 5 c X speeding up Y going at a steady speed Z slowing down 1 1 1 6 6 6 2 3 4 5 6 Scores in the range of: Level x±x x±x x±x x±x 1 C S Mitchell, 2002, The Heinemann Science Scheme Mark scheme Speeding up Unit K Tier 5±8 Question Part Answer Mark Level 1 a 800 N 1 5 b Move forwards 1 5 a Priya 1 6 b 8000 m/3600 s 5 2.22 m/s (one mark for working, one mark for correct answer including units) 2 6 a 4 m/s 1 6 b 0 to 4 s 1 6 c It reduces the air resistance force or it gives them less surface area 1 7 a 2N 1 6 b The speed increases 1 6 ci ii It speeds up more quickly The downward force (weight) is less so there is a greater resultant force upwards 1 1 1 7 7 7 ai ii R increases As the speed increases, the the parachutist displaces more air molecules per second (so force R increases) The speed is constant 1 1 5 6 1 5 R increases (a lot) R is bigger than W or R is a bigger force up than W force is down As the speed decreases, R gets smaller Slower constant speed 1 1 5 7 1 1 8 8 2 3 4 5 iii bi ii iii iv Scores in the range of: Level x±x x±x x±x x±x 2 C S Mitchell, 2002, The Heinemann Science Scheme Student record sheet Speeding up Unit K I can do this very well I can do this quite well I need to do more work on this I can compare speeds from data of distance and time, or just time if the distance is the same I can manipulate and use the equation speed 5 distance/time I can make measurements of distance and time and use them to calculate speeds, using the correct units I know the difference between average speed and speed at a point I can use datalogging equipment to measure speed and to produce graphs I know why some measurements need to be more precise than others I know how forces and mass affect speed I know that if the forces on an object are balanced, the object moves at a steady speed or remains stationary I know that if the forces on an object are unbalanced, the object speeds up or slows down I can explain how air and water resistance oppose motion I know how air and water resistance can be reduced by streamlining I understand the factors that affect air resistance I know that the energy required to keep an object moving depends on air resistance I can use the particle model to explain air resistance I can describe and explain the motion of a parachute I can interpret distance±time graphs I can `tell the story' of a speed±time graph What I enjoyed most in this unit was The most useful thing I have learned in this unit was I need to do more work on 1 C S Mitchell, 2002, The Heinemann Science Scheme