TABLE OF CONTENTS EXPERIMENT PAGE THE CHASE 1 SHOOT FOR YOUR GRADE 4 FRICTION LAB 7 COLLISIONS 9 SPRINGS AND PENDULUMS 10 PENDULUMS AND YOU 13 DEMO: CHANGE OF PHASE 15 SPECIFIC HEAT 18 VIRTUAL LAB: FIRST LAW OF THERMODYNAMICS 22 THE SPEED OF SOUND 26 SPEED OF SOUND IN AIR (RESONANCE TUBE) 27 LENS AND MIRROR 29 CIRCUITS 31 i KINEMATICS OF MOTION EXPERIMENT: THE CHASE A car moving along the highway posses a parked police car with a radar detector. Just as the car passes, the police car starts to pursue, moving with a constant acceleration. The police car catches up with the car just as it leaves the jurisdiction of the police officer. Hypothesis: Sketch the position-time graphs and the velocity-time graphs for this chase, then simulate the chase. Materials: battery powered car, marble, masking tape, stopwatch, v-channel aluminum track, ring stand, clamp Procedure: 1. Identify the variables in this activity. 2. Determine how you will give the ball a constant acceleration. 3. Devise a method to ensure that both objects reach the end of the track at the same time. 1 4. Construct a data table that will show the positions of both objects at the beginning, the halfway point, and the end of the chase. 5. Perform the simulation. 6. Construct x/t (position vs. time) and v/t (velocity vs. time) graphs from your data. Compare these to your original graphs. 7. Return materials to their original places. Questions: 1. Compare the velocities of the cars at the beginning and the end of the chase. 2 2. At any time during the chase did the cars ever have the same velocity? If so, mark these points on the graph. 3. Find the average velocity of the police car. 4. Find the average velocity of the car. 5. Compare the average velocity of the police car to that of the car. 6. Explain why it took the police car so long to catch the car after it sped by. 7. If the speeder accelerated at the exact same rate of the police car at the moment the speeder passes the police car, would the police car ever catch the speeder? Why or why not? 3 PROJECTILE MOTION EXPERIMENT: SHOOT FOR YOUR GRADE Objective: Predict the landing spot of a projectile launched horizontally from an elevated platform. Materials: incline, marble, stopwatch, meter stick Methods 1. Roll the marble down the ramp several times, recording the necessary data to determine the speed of the ball at the bottom of the ramp. Show your data below. IMPORTANT: The marble must never leave the table when taking data. Only when you are ready to shoot for your grade will the marble be allowed to land on the floor. If the marble leaves the floor, you get one warning, then a zero. 2. Take any measurements needed to calculate the time for free fall for the projectile. 3. Using the velocity and time data, predict by calculation the landing spot of your projectile. Measure this calculated distance along the floor from a spot on the floor directly below the edge of the table. Place the target sheet at this position, carefully lining up the paper with the projected path of the marble. 4. Call over the physics teacher before firing the projectile for your grade. The target sheet gives you your grade. You have only one chance at your grade. 4 Questions: 1. A cliff diver leaps off a high cliff into the water below. The diver leaves the cliff with a horizontal speed of 8 m/s. Determine the horizontal and vertical velocities of the diver after 1 second, 2 seconds, and 3 seconds. Horiz. Velocity (m/s) Vert. Velocity (m/s) After 1 second After 2 seconds After 3 seconds 2. A blue ball rolling at a high speed across the horizontal surface of an elevated table leaves the table at the same time that a red ball drops off the same table from rest. Which ball (blue, red or neither) will hit the ground first. Justify your answer with good reasoning and the language of physics. 3. An airplane, flying at a high altitude, drops a flare from below its cargo area. After releasing the flare, the plane continues in its straight-line constant speed motion as the flare falls towards the ground. Assuming that there is a negligible amount of air resistance, five seconds later the flare will be positioned ... a. directly below the position of the cargo area. b. slightly behind the position of the cargo area. c. slightly ahead the position of the cargo area. Justify your answer with good reasoning and the language of physics. 5 BULLS EYE! 6 FORCE AND FRICTION EXPERIMENT: FRICTION Objective: Observe and distinguish between static and kinetic friction. Determine if surface area and type of material changes the coefficient of friction. Materials: Friction block, 10N spring scale, mass set, wooden track. Safety: Wear close-toed shoes Procedure: There are eight part to this experiment so read all the procedures before beginning. Take the block and place the wide side down on the lab counter. Place a 500g mass on top of the block. Next, attach the spring scale to the block (make sure you zero the spring scale). Holding the spring scale parallel with the counter pull on the block until it starts to move. Record the maximum force read from the spring scale in the data table. After the block begins to move try to maintain a constant velocity with the block and read the force from the spring scale. Record this value in the data table then add 500g and repeat the experiment. Finally add another 500g and repeat. Repeat the experiment with the block on the narrow side (be careful, it is slightly unstable). After that place the block on the wooden track and repeat all steps Data: Weight of block (Newton’s) Trial Wide (counter) Narrow Wide 2 (ramp) Static Force (500g) Kinetic Force Static (1000g) Kinetic Static (1500g) Kinetic Calculations: 1. Calculate the total weight of the block Trial Block + 500g Block + 1000g Block + 1500g Weight (N) 7 Narrow 2 2. Draw a free body diagram for the 500g experiment (static and kinetic cases). 3. Calculate the coefficients of static and kinetic friction using the force recorded in each case. Trial Wide (counter) Narrow Wide 2 (ramp) Narrow 2 s (500g) k s (1000g) k s (1500g) k Questions: 1. Does the surface area change the coefficient of friction? 2. Does the normal force change the coefficient of friction? 3. Write a 5 sentence conclusion about this lab (I thought it was fun is not a conclusion, it is an opinion). 8 MOMENTUM EXPERIMENT: COLLISIONS Purpose: To observe different types of collisions and their characteristics. Materials: Two dynamics carts, two pieces of duct tape Procedure: Part A 1. Push the two dynamics carts towards each other with a moderate force to produce a collision. Push the carts so that the stopper on one of the carts collides with the smooth end of the other cart. 2. Describe what happens to each cart. Use terms such as pushed cart, and stationary cart and describe their relative velocities before and after the collision. 3. Which type of collision did you produce? Part B 1. Put a small amount of rolled duct tape on the smooth ends of each cart . This is where they are going to be colliding. 2. Push one of the carts with a moderate force, while leaving the other cart at rest. 3. Describe what happens to each cart. Use terms such as pushed cart, and stationary cart and describe their relative velocities before and after the collision. 4. Which type of collision did you produce? 9 SIMPLE HARMONIC MOTION EXPERIMENT: SPRINGS AND PENDULUMS Purpose: To investigate the approximate equations for spring oscillators and simple pendulums. We will verify the accuracy of the equations in the “real world.” A percent difference of less than 8% is considered very good. Materials: Spring Ring stand and test tube clamp Meter stick Stopwatch 1 meter of string Mass set Methods: Spring oscillator (sprilator) First let’s set up the spring oscillator. Set up your ring stand like figure 1. To find your spring constant, measure the length of the spring with no weight on it. Add the 0.5kg mass and measure the new length of the spring. Use the chart to find the spring constant. To measure the period of the oscillator, use three different masses, at least 150g but no more than 500g. Start that spring moving and while timing it, let it go through 10 cycles. Record this in the chart. Repeat this for two other masses and record your data. Pendulum Make your pendulum as shown in figure 2. We are going the test two things, the mass and the length. For the mass test you should not change the length of the string! Measure the length of the pendulum as shown. Using three different masses measure the time for ten oscillations and record them in the chart. Try to use the same angle of displacement each time as to only change one variable at a time. Using the same mass for the next three trials is very important! Now measure the time for 10 oscillations and record it. Change the length of the pendulum and repeat. L Figure 1 Figure 2 10 Measurements: Spring Oscillator Length Mass Mass 1 Mass 2 Mass 3 Length Stretched Weight (m*9.81) Period Period Period Spring constant calculated using Hooke’s Law: _________ Pendulum (same length): Length Mass 1 Mass 2 Mass 3 Period Period Period Length 1 Length 2 Length 3 Period Period Period Pendulum (same mass): Mass Calculations: Using your equations calculate what the period should be for the two oscillators Spring: Spring Constant Mass 1 Mass 2 Mass 3 Period Period Period Length 1 Length 2 Length 3 Period Period Period Pendulum: Mass 11 Questions: 1. Are your measured values the same as your calculated values? 2. To what do you attribute the differences if any? 3. Find the percent error in your measurements. measured period calculated period % error 100 calculated period Resources: http://www.her.itesm.mx/academia/profesional/cursos/fisica_2000/FisicaII/PHYSENGL/sp ringpendulum.htm http://www.netzmedien.de/software/download/java/oszillator/ http://cat.sckans.edu/physics/shm.htm 4. Do you think the angle of the swing or the displacement of the spring affects the period? (Please use a scientific approach to answer this). 5. Write a 4-5 sentence conclusion about your results. 12 CONSERVATION OF ENERGY EXPERIMENT: PENDULUMS AND YOU Objective: In this lab we are investigating conservation of energy using a pendulum. We know energy is conserved, but some of the mechanical energy is turned into non-mechanical energy by heating the surface of the objects. We can assume the pendulum loses only a small amount of energy during its swing but the block loses all mechanical energy because of friction. What we want to find is the percentage of energy lost by the pendulum and the frictional force. Materials: Quantity 1 2 1 1 1 1 Description String 0.5 meters 0.5 kg mass Block Ring stand Test tube clamp meter stick Methods: Set up your apparatus to look like Figure 1. 1. Measure the mass of your block on the balance and record it. 2. Place the block so it touches the pendulum when the pendulum is in equilibrium. Figure 1 3. Measure the height of the pendulum from the table when it is at equilibrium and record it. 4. Pull the pendulum back and measure its height from the table and record it. Subtract step 3 from step 4 and record this in your data table for the height of the pendulum. 5. Release the pendulum so that it hits the block then measure and record how far the block slides after the pendulum strikes it. Now add 0.5 kg to the block and repeat steps 2 thru 5 raising the pendulum to the same height. Data & Results: Mass of pendulum _______ kg Height of pendulum from step 3 _______ (m) Height of pendulum from step 4 _______ (m) Step 4 – Step 3 = ________ Total change in height (Record in data table) 13 Trial Mass of block (kg) Data table Height of pendulum (m) Distance block slides (m) Mass of block + 0.5kg Height of pendulum (m) Distance block slides (m) 1 2 3 Trial 1 2 3 Calculations (show all work): 1. Calculate the initial amount of potential energy in the pendulum. 2. Calculate the velocity of the pendulum when it strikes the block. 3. Calculate the normal force on your block (mass x 9.81 m/s2), and the force of friction if = .242 (Ff = Fn). 4. How much work is done by friction (remember work equals force x distance)? 5. Calculate the amount of energy lost. Note: “[#]” indicates where to find the value. Percent energy loss PE[1] W f [4] PE[1] 100 Questions: 1. What was your amount of energy loss, and where did the energy go? 2. Does the pendulum lose energy, if so how could we measure the amount lost? 14 THERMODYNAMICS EXPERIMENT /DEMO: CHANGE OF PHASE Objectives: Perform calculations with specific heat capacity, perform calculations involving latent heat, interpret the various sections of a heating curve. Materials: Beaker, hot plate, ice, CBL unit with temperature probe Procedures: 1. Your teacher will set up the CBL unit with the hot plate, beaker and ice. Mass of ice in beaker = _______________ 2. Data will be collected for 30 minutes. 3. Copy the data from the CBL unit onto the graph below. Important points are where the graph of the heating curve changes. temperature (F) 15 time (minutes) 4. Calculate the amount of heat required for the ice to reach 0 ºC. 5. Calculate the amount of heat required to melt the ice. (The ice remains at 0 ºC during this process). 6. Calculate the amount of heat required to heat the water from 0 ºC to 100 ºC. 7. Calculate the amount of heat required to vaporize the water. (The water remains at 100 ºC during this process). 8. Calculate the amount of heat it would required to heat the steam from 100 ºC to 125 ºC. 9. What was the total amount of heat required to heat the ice at the initial temperature to steam at 125 ºC? Questions: 1. Why does steam at 100 ºC cause more severe burns than does liquid water at 100 ºC? 16 2. Why does the temperature of a substance not change when the substance is changing phases? 3. The idealized graph of the temperature change of water is shown below. What do the segments B and D indicate? 4. Did energy transfer happen continually throughout the process pictured above? Explain. 5. Did the temperature increase at the same rate throughout the process? Explain. 17 THERMODYNAMICS EXPERIMENT: SPECIFIC HEAT Objectives: Measure heat exchange using a calorimeter, Calculate the specific heat of metals, Hypothesize about the sources of experimental error, identify a material based on its specific heat. Materials: 400 mL beaker, hot plate, string, specific heat metal set, balance, water, polystyrene cup or calorimeter, thermometer Safety: Safety Goggles Introduction: One property of a substance is the amount of energy that it can absorb per unit mass. This property is called specific heat, Cs. The specific heat is the amount of energy , measured in Joules, needed to raise the temperature of 1 kg of a material 1° C (1 K). A calorimeter is a device that measures the specific heat of a substance. The polystyrene cup, used as a calorimeter, insulates the water-metal system from the environment, while absorbing a negligible amount of heat. Since energy always flows from a hotter object to a cooler one and the total energy of a closed, isolated system always remains constant, the heat energy, Q, lost by one part of the system, is gained by the other: Qlost by the metal = Qgained by the water In this lab, you will determine the specific heat of two different metals. You heat a metal to a known temperature and put it in the calorimeter containing a known mass of water at a measured temperature. You measure the final temperature of the water and material in the calorimeter. Given the specific heat of water (4180 J/kg•K) and the temperature change of the water, you can calculate the heat gained by the water (heat lost by the metal): Qgained by the water = mwater ∆Twater(4180 J/kg•K) Since the heat lost by the metal is: Qlost by the metal = mmetal ∆TmetalCmetal The specific heat of the metal can be calculated as follows: Cmetal = Qgained by thewater mmetal Tmetal Procedure: 1. Safety goggles must be worn for this lab. CAUTION: Be careful when handling hot glassware, metals, or hot water. 2. Fill a 400 mL beaker about 350 ml of water. Place the beaker of water on a hot plate and begin heating it. 3. While waiting for the water to boil, measure and record in Table 1 the mass of the metal(s) you are using and the mass of the inner calorimeter cup. 4. Using the aluminum stirring rod, lower one of the metal samples into the boiling water, as shown in Figure A. Leave the metal in the boiling water for at least 5 minutes. 18 5. Fill the calorimeter cup half full of tap water. 6. Measure and record in Table 1 the total mass of the water and cup. 7. Using the thermometer, measure and record in Table 1 the temperature of the water in the calorimeter cup. Calculator instructions for measuring temperature: a) Turn on your CBL2® and TI Calculator. b) Press the [APPS] Button c) Scroll down and find the “Datamate” app. d) With the temperature probe plugged into “CH 1” on the CBL2®, select the app. by pressing [ENTER] e) When the app. starts in should recognize the probe and give a real-time read out in the upper right corner of the screen. 8. Using the thermometer, measure and record in Table 1 the temperature of the boiling water in the beaker, just before you will be removing the metal. Do not place the thermometer on the hot plate. 9. Cool the thermometer then place it in the calorimeter cup. 10. Carefully remove the metal from the boiling water and quickly lower it into the water in the calorimeter cup with the thermometer. 11. Gently stir the water in the calorimeter cup for several minutes with the stirring rod, keeping the thermometer from touching the metal. Calculator instructions for measuring temperature: f) Press [2] the start the data collection g) Watch the graph and when it begins to level out press [STO] to stop the data collection. h) Trace the graph to find the final, equilibrium temperature 12. After 5- 10 minutes, record the final temperature of the metal and water in Table 1. Data and Observations: TABLE 1 Trial 1 Type of metal Mass of calorimeter cup (kg) Mass of calorimeter cup and water (kg) Mass of metal (kg) Initial temperature of tap water (°C) Temperature of hot metal (°C) Final temperature of metal and tap water (°C) 19 Trial 2 TABLE 2 Trial 1 Trial 2 Mass of room-temperature water (kg) ∆T metal (°C) ∆T room-temperature water (°C) Heat gained by the water Calculated Specific Heat of metal Relative Error Analysis and Conclusions: (show all work) 1. For each trial, calculate the mass of the room-temperature water, the change in temperature of the metal, and the change in temperature of the water in the polystyrene cup by using the values from Table 1. Record these values in Table 2. 2. For each trial calculate the heat gained by the water (heat lost by the metal). Record these values in Table 2. 3. For each trial, calculate the specific heat of the metal. For each metal sample us the value for heat gained by the water that you calculated in Question 2. Record these values in Table 2. 20 4. For each trial, use the values for specific heat of substances found on page xxiii to calculate the relative error between your value for specific heat and the accepted value for the metal. Record these values in Table 2. | accepted experiment al | Relative Error x100 accepted 5. If you had discrepancies between your values for specific heat of the metal samples and the accepted values, suggest sources of uncertainty (error) in your measurements that may have contributed to the difference. Application: (show all work) 1. A 100.0 g sample of a substance is heated to 100.0 °C and put in a calorimeter cup (having a negligible amount of heat absorption) containing 150.0 g of water at 25 °C. The sample raises the temperature of the water to 32.1 °C. Find the specific heat of the substance, then use the specific heat values on page xxiii to identify the substance. 21 THERMODYNAMICS VIRTUAL LAB: FIRST LAW OF THERMODYNAMICS Open the browser and go to the website: http://jersey.uoregon.edu/vlab/Thermodynamics/index.html Experimental Instructions: This applet is designed to simulate the diffusion process which occurs when gases of different temperatures are mixed. To activate the mixing click one time on the red vertical bar that separates the two chambers. After a few moments, the bar will turn green and the gases will start to mix and share their energy. The counters in the respective chambers indicate the number of particles in that chamber. The thermometers will start to change temperature as the mixing process is occurring. Eventually both chambers will reach the same temperature. In order for this simulation to properly run – it’s important that the user not be doing other activities on the machine as this will interfere with the timing aspects of the experiment. Different initial conditions are setup in a series of experiments and questions related to that experiment can be found underneath the apparatus. First experiment 1. Write down the initial temperatures for each of the two chambers. 1st chamber: __________ 2nd chamber: ________ 2. Click once on the vertical red bar (and WAIT!); observe the mixing of the gases 3. Time how long it takes for the temperature to equilibrate. Questions: 1. What do you think the final equilibrium temperature will be? 2. Why are there more particles in the cold side than the warm side when you first start mixing the chambers? 3. How long does it take for the temperature to equilibrate? 4. After equilibrium is reached, close the chamber door and raise the temperature in the right chamber to 900 degrees. Reopen the chamber to determine what the new equilibrium temperature is. New equilibrium temp: __________ Second experiment 1. Write down the initial temperatures for each of the two chambers. 1st chamber: __________ 2nd chamber: ________ 2. Click once on the vertical red bar (and WAIT!); observe the mixing of the gases 3. Time how long it takes for the temperature to equilibrate. 22 Questions: 1. What do you think the final equilibrium temperature will be? 2. Will this system take a longer time or shorter time to equilibrate than the previous one? Explain. Third experiment 1. Write down the initial temperatures for each of the two chambers. 1st chamber: __________ 2nd chamber: ________ 2. Click once on the vertical red bar (and WAIT!); observe the mixing of the gases 3. Time how long it takes for the temperature to equilibrate. Questions: 1. What do you think the final equilibrium temperature will be? 2. Will this system take a longer or shorter time to equilibrate than experiment 2, which had the same temperature difference? Fourth experiment 1. Write down the initial temperatures for each of the two chambers. 1st chamber: __________ 2nd chamber: ________ 2. Write down how many particles are in each gas initially. 1st chamber: __________ 2nd chamber: ________ 3. Click once on the vertical red bar (and WAIT!); observe the mixing of the gases 4. Time how long it takes for about 125 particles to exist in each chamber. QUESTIONS: 1. What do you think the final equilibrium temperature will be? 2. Will this system reach equilibrium faster or slower than it took in the First experiment with the same temperature difference? Explain. 3. Compare the rate of temperature change on the left and right sides? Why are they so different? 4. Time how long it takes for about 125 particles to exist in each chamber and note the temperature difference the first time this occurs. 23 Fifth experiment 1. Write down the initial temperatures for each of the two chambers. 1st chamber: __________ 2nd chamber: ________ 2. Write down how many particles are in each gas initially. 1st chamber: __________ 2nd chamber: ________ 3. Click once on the vertical red bar (and WAIT!); observe the mixing of the gases 4. Time how long it takes for about 125 particles to exist in each chamber. Questions: 1. What do you think the final equilibrium temperature will be? 2. Will this system reach equilibrium faster or slower than it took in the First experiment with the same temperature difference? Explain. 3. Compare the rate of temperature change on the left and right sides? Why are they so different? 4. Time how long it takes for about 125 particles to exist in each chamber and note the temperature difference the first time this occurs. 5. How is this experiment different from experiment four? Sixth experiment 1. Write down the initial temperatures for each of the two chambers. 1st chamber: __________ 2nd chamber: ________ 2. Write down how many particles are in each gas initially. 1st chamber: __________ 2nd chamber: ________ 3. Click once on the vertical red bar (and WAIT!); observe the mixing of the gases 4. Time how long it takes for about 125 particles to exist in each chamber. Questions: 1. What do you think the final equilibrium temperature will be? 2. What do you think will happen to the two particles in the left chamber? 24 3. How long will it take the left chamber to have a temperature that is within 10% of the right chamber? 4. How is this experiment different from experiment four? Seventh experiment 1. You should restart Netscape/Internet Explorer for this 2. Simple – it’s a game - subvert the laws of physics - try to get all the particles on one side or the other and then close the chambers. Initially try to do this without adding energy to the system. If this fails, do the following: 3. You may adjust the temperatures of the chambers by grabbing the thermometer with the pointer and moving it. Can you figure out the scheme to get all the particles to one side. It is possible ... Explain what you did to get all particles in one chamber. Why did this work? Summarizing 1. State the first law of thermodynamics. 2. State some observations from the experiments that utilized/applied to the first law of thermodynamics. 3. How does the temperature equilibrium point relate to the starting temperatures in each chamber? 4. Explain in terms of physics why a temperature in a chamber increases. 5. Does the number of the particles in a chamber affect temperature equilibrium? 25 WAVE MOTION EXPERIMENT: THE SPEED OF SOUND Purpose: The speed of light is much faster than the speed of sound. During a thunderstorm you can see the lightning before you hear the thunder. The lightning causes the thunder so they occur at the same time, but the sound takes much longer to reach your ears than the light to reach your eyes. French scientist, in 1738 fired a canon on a hill and timed the difference between the flash and the bang from a know distance. We are going to recreate this experiment. Materials: Hammer, stop watch, metal wheel Method: Go outside to a large field and measure off 100 meters. Have one student hit the metal with the hammer. The timers will begin when they see the hammer hit the metal and stop when they hear the noise. Do several times at various positions and record your information. Data: 100m Trial 150m Time (s) 1 2 3 Trial Remember d v t Average Time (s) 1 2 3 Average Calculations: 1. Calculate the speed in each trial. 2. Calculate the percent error to find the theoretical speed use the following formula % error theoretical measured theoretical theoretica l speed of sound 331 1 T oC 273 Questions: 1. What factors might have caused your error? 2. Explain how you could determine how far you a lightning strike using a stopwatch 3. In early days the train robbers would put their ear to the train tracks to determine if the train they where robbing was near. Explain why they would do that instead of just listening for it. 26 WAVE MOTION EXPERIMENT: SPEED OF SOUND IN AIR (RESONANCE TUBE) Purpose: The speed of sound in air is measured using a variable length column of air. Materials: Resonance-tube apparatus, tuning fork, rubber hammer, meter stick, rubber stopper, clamp and stand Methods: A. Position the reservoir adjacent to the 50 cm mark on the resonance tube. Now fill the reservoir about 1/2 full and hold it above the mouth of the resonance tube. Caution: Hold the tuning fork off to the side when you strike it and then bring it over the mouth of the tube. Also, do not strike the tuning fork too hard because you will generate harmonics of the fork's fundamental frequency which do cause unwanted resonances. Hold the fork with the exact alignment as illustrated in the theory section for maximum sound intensity. B. Raise the reservoir so that the level of the water is almost to the top of the tube. Using a rubber mallet, strike the tuning fork and lower the water level slowly until a marked increase in sound intensity is heard. Continue to refine your location until you have located the point of maximum sound intensity. This is the first resonance point. C. Lower the water level in the tube and locate the second resonance point as you did the first. Locate additional resonance points if they exist. Record the room temperature on the wall thermometer, as you will need it subsequently. D. Repeat the above for a tuning fork with a different frequency. Calculations: Determine the wavelength (l) of the sound from the standing wave resonance conditions as illustrated in the theory section. Use only the difference in water levels for successive resonance conditions. Do not use the first resonance condition () by itself to determine l because the tuning fork is an undetermined distance above the mouth of the tube. Find the wavelength for each tuning fork by the above method. Using the formula V=fl, compute the sound velocity for each tuning fork. The accepted value for the velocity of sound in air is 331 m/sec at 0oC and increases about 0.6 m/sec for each degree above 0oC. Questions: 1. 2. 3. 4. Is the surface of the water a true node? Explain. What is the major cause for error? Why is it necessary to avoid striking the tuning fork too hard? Explain why sound travels faster in warm air than in cool air. Suppose the room temperature (in degrees Celsius) were 10% higher, how would your resonance lengths change? 5. If the distance from a point sound source is tripled, by what factor does the sound intensity (or loudness) decrease? 6. In this experiment we used tubes that were opened at one end and closed at the other end. The closed end is the water's surface. The first resonance condition occurs at l/4. Could 27 this experiment be done with tubes open at both ends? Explain. What is the first resonance condition for tubes with both ends open? 7. An airplane mechanic (standing still) notices that the sound from a twin-engine aircraft rapidly varies in loudness when both engines are running. What could be causing this variation back and forth between loud and soft? Theory: Standing wave resonance conditions for sound waves in a variable length column of air. The sound will have maximum intensity at these conditions. L = difference in water levels for successive resonance conditions V = fL where f = frequency of tuning fork in Hz l = wavelength of sound in meters V = velocity of sound in m/sec Vsound in air = 331 + 0.6(ToC) 28 WAVES AND LIGHT EXPERIMENT: LENS AND MIRROR Purpose: To use conceptual knowledge from class to find the focal length of a lens and predict where an image will be formed and to investigate concave and convex mirrors. Materials: 1 Concave lens/mirror 1 Convex lens/mirror 1 Meter stick optics bench and parts 1 Light source Method: The first objective is to find the focal length of the mirror. To do this, set the light source at the 95 cm mark on your meter stick. Place the screen on the other end at 10 cm. Place the convex lens at the 30 cm mark. Move the screen until the light bulb is in focus and record your measurement. You will need to record the height of your image to calculate the magnification, so using the ruler printed on the screen measure and record it. Now move the lens to the 60 cm mark and repeat. Using your lens equation calculate the focal length for each case. Now pick a place on the meter stick to put the lens at and calculate where the screen should be placed. Put the screen there and record your observation. Next, set up this experiment with the concave lens and record your observations. Next use the mirrors to look at the light bulb from very close and then far away, record your observations. Results/Data: TABLE 1 Trial do (cm) Convex lens 65 Convex lens 35 di (cm) ho (cm) hi (cm) Concave Lens Close Far Convex Mirror Concave Mirror 29 Analysis (show your work): 1. Calculate the focal length of the convex lens. 2. What were your observations from the prediction? 3. Calculate the magnification of the convex lens. 4. Describe your observations of the concave mirror. 5. When is the image magnification greater than 1 with the concave mirror? Describe when. Questions: 1. Was the light bulb focused on the screen when you predicted where it should be? 2. What type of image was formed with the concave lens/ convex mirror? 3. If the screen in a movie theatre is 15m from the projector the film is 10cm from the lens what is the focal length of the lens? Conclusion: 30 CIRCUITS Experiment: Circuits Lab A Purpose: The following lab is designed to help investigate voltage and current in difference circuits. You will set up your circuit by looking at the schematics and take the appropriate measurements. Materials: 7 wires w/ circuit board, voltmeter, three resistors (light bulb), power supply (cells or battery), ammeter, knife switch (optional) Safety: Use caution when handling resistors – they will get hot. Do not exceed the recommended voltage. Method: Using your materials build the circuit shown in Figure 1. This is a simple circuit. Do not complete the circuit until instructed to do so. When your circuit matches Figure 1, ask the teacher for approval before proceeding. A A Figure 1 A Figure 2 A Figure 3 Figure 4 (Note: To measure the voltage, connect the voltmeter to the posts of the light bulb. This puts it in parallel with the circuit. Connect the (-) post of the voltmeter to the side of the light bulb closest to the (-) terminal of the battery. For the ammeter, connect the positive (+) side to the positive (+) terminal of the battery and negative side to the negative termal in series) Data/Results: 31 Measure the following 1. The current in each branch of the circuit. 2. The potential difference across each light bulb. 3. Observe the intensity of the bulb. Figure 1 Voltage across bulb Figure 3 Voltage across bulb Current Figure 2 Voltage across bulb Current Current Figure 4 Voltage across bulb Current Analysis: Find the resistance in each light bulb using Ohm’s law Questions: 1. Do you get the same resistance when the circuit is in series as when it is in parallel? 2. How does the current compare in each circuit? 3. How does the voltage compare in each circuit? 4. Compare the brightness of the bulbs in each circuit. Conclusion: Write a 4 to 5 sentence conclusion about what you learned from this experiment 32