Name __________________________ Period ________ Forces & Motion LABS Page Assignment Title 1Energy and Falling Motion Lab 23Energy and Falling Motion Lab- Calculating PE 4Saving Humpty Dumpty 5Saving Humpty Dumpty- ?s & Calculations 6Swing of Things- Task 1 & 2 7Swing of Things- Task 3 & 4 8Swing of Things- Graphing 9Swing of Things- Graphing & Conclusion ?s 10Brake It, But Don’t Break It- Task 1 11- Brake It, But Don’t Break It- Task 2 & Final Task 12Brake It, But Don’t Break It- Graphing & ?s 13Give it a Whirl- Data Tables & Graphs 14- Give it a Whirl- Angle Sketching & Conclusion 15Give it a Whirl- Final Sketch 4.2 4.5 4.6 P8B1 4.7 4.8 P8B3 4.9 4.10 Date Assigned Date Due Grade Received lab lab lab lab lab lab lab lab TSW DESCRIBE THE RELATIONSHIP BETWEEN MASS AND GRAVITY. TSW DESCRIBE THE FOLLOWING FORCES: GRAVITY AND FRICTION. TSW PROVIDE EVIDENCE TO DEMONSTRATE THE RELATIONSHIP BETWEEN FORCE AND MOTION. TSW KNOW THE EFFECTS OF BALANCED AND UNBALANCED FORCES ON AN OBJECT’S MOTION. TSW IDENTIFY THE FORCE(S) ACTING ON MOVING AND STATIONARY OBJECTS. TSW DETERMINE THE NET FORCE ON AN OBJECT GIVEN A DIAGRAM. TSW KNOW EVERY OBJECT EXERTS GRAVITATIONAL FORCE ON EVERY OTHER OBJECT, AND THE MAGNITUDE OF THIS FORCE DEPENDS ON THE MASS OF THE OBJECTS AND THEIR DISTANCE FROM ONE ANOTHER. TSW DESCRIBE THE RELATIONSHIP BETWEEN DISTANCE AND GRAVITY. TSW EXPLAIN THAT EVERY OBJECT EXERTS GRAVITATIONAL FORCE ON EVERY OTHER OBJECT. Energy and Falling Motion lab Define Problem: How does the type of ball affect the height of the bounce? Hypothesis: (If, then, because) ______________________________________________________ ______________________________________________________________________________ Experiment: Controlled Variable: What about this experiment will you keep constant throughout your trials? _____________________ ____________________ _____________________ Independent Variable: (You have control over changing) _________________________ Dependent Variable: (Changes as you change the independent variable) ____________________ Procedure: 1. Have one member of your group hold the meter stick upright, with the zero cm mark on the table. 2. Have a second member of your group drop a ball from the top of the meter stick (100 cm mark) in such a way that it does not touch the meter stick on the way down. 3. Measure the height of the first six bounces, and record in the data table below. 4. Graph the data for each ball. Data Table: Type of Ball 1st Bounce (cm) 2nd Bounce (cm) 3rd Bounce (cm) 4th Bounce (cm) 5th Bounce (cm) 6th Bounce (cm) Line Graph Data: Plot the height of each bounce for each ball. Draw a line to connect the points. Type of Ball: _____________________ Type of Ball: _____________________ Type of Ball: _____________________ Type of Ball: _____________________ Type of Ball: _____________________ Type of Ball: _____________________ Analyzing Data/Forming Conclusions: 1. Which ball retained the greatest percentage of its kinetic energy on each bounce? _____________ How can you tell? ______________________________________________________________ 2. Explain why the shape of all the line graphs is similar. ___________________________________ ___________________________________________________________________________ 3. What type of ball seems to bounce the least? ________________ What properties of this ball make it bounce differently than other types of balls? ___________________________________ ___________________________________________________________________________ Critical Thinking/Applying Knowledge: 4. Why can’t a ball bounce higher than the height from which it is dropped? ____________________ ___________________________________________________________________________ 5. Suppose we did the same investigation on carpeted floor. How would the carpet have affected the results? Explain. ______________________________________________________________ ___________________________________________________________________________ Falling motion and potential Energy Type of Ball Mass (m) in “kg”; use kg for calc. Bounce Height (h) in “m” Start _______ g _______ kg 1 meter P.E.grav = m*g*h in “J” *show what you multiplied* _____ * 9.8 m/s² * 1m = Bounce 3 Bounce 6 Type of Ball Mass (m) in “kg”; use kg for calc. Bounce Height (h) in “m” Start _______ g _______ kg 1 meter P.E.grav = m*g*h in “J” *show what you multiplied* _____ * 9.8 m/s² * 1m = Bounce 3 Bounce 6 Type of Ball Mass (m) in “kg”; use kg for calc. Bounce Height (h) in “m” Start _______ g _______ kg 1 meter P.E.grav = m*g*h in “J” *show what you multiplied* _____ * 9.8 m/s² * 1m = Bounce 3 Bounce 6 Type of Ball Mass (m) in “kg”; use kg for calc. Bounce Height (h) in “m” Start _______ g _______ kg 1 meter P.E.grav = m*g*h in “J” *show what you multiplied* _____ * 9.8 m/s² * 1m = Bounce 3 Bounce 6 Type of Ball Mass (m) in “kg”; use kg for calc. _______ g _______ kg Bounce Height (h) in “m” Start Bounce 3 1 meter P.E.grav = m*g*h in “J” *show what you multiplied* _____ * 9.8 m/s² * 1m = Bounce 6 Type of Ball Mass (m) in “kg”; use kg for calc. Bounce Height (h) in “m” Start _______ g _______ kg 1 meter P.E.grav = m*g*h in “J” *show what you multiplied* _____ * 9.8 m/s² * 1m = Bounce 3 Bounce 6 Analyze Your Data: 1. Which ball had the highest potential energy at the start? __________ at bounce 6? ___________ 2. What can you infer about the relationship between the mass of the ball and the amount of potential energy stored in it? ____________________________________________________________ 3. What does the change in height after the first bounce tell you about the amount of energy stored in the ball? Where is the energy going? ______________________________________________ ___________________________________________________________________________ 4. How do your findings support the law of conservation of energy? ___________________________ Saving Humpty Dumpty! ___________________________________________________________________________ As a final culmination of everything you have learned about falling objects, you and your fellow engineers will design a protective vehicle or container that will protect Humpty Dumpty from an impact when he “has a great fall” from a height greater than 3 meters in the air. You may use almost any materials that you wish to slow and eventually stop Humpty Dumpty, but you must not, under any circumstances, allow him to break into pieces—all the kings horses and all the kings men won’t be able to put Humpty Dumpty back together again! Rules and Guidelines **Any violations to these rules/guidelines will result in automatic competition disqualification** No glass, metals or sharp objects No commercially made containers (ex: Tupperware) No alterations may be made to Humpty Dumpty Design no larger than 15 cm x 15 cm x 15 cm Design must have a door or hatch so that Humpty Dumpty may be easily placed inside before the drop, and easily removed upon completion of the drop The container must be worked on at school – you cannot take it home to complete Brainstorming (6 pts) 1) What forces will be acting on Humpty Dumpty as he falls towards the ground? ___________________________________________________________________________________ 2) How can you counteract these forces to prevent Humpty Dumpty from breaking? ___________________________________________________________________________________ 3) What materials could your group use to build the container? ___________________________________________________________________________________ Final Design: Sketch (5 pts) and Materials *Must be drawn neatly, using a ruler where needed, with materials used labeled. Outside View (If you hold it in your hand, what do you see?) Inside View “Cross-Section” (If you cut it in half, what would you see?) What materials did your group use to What part of your design included Why did you choose to use these build Humpty Dumpty’s device? (2 pts) this material? (3 pts) materials? (3 pts) Egg-straordinary Questions (15 pts) Answer in complete sentences! 1) What do you think is the most important safety device used in your container? Why do you think this? (2 pts) ______________________________________________________________________________________ ______________________________________________________________________________________ 2) Give an example of how each of Newton’s Laws of Motion apply to this experiment. (3 pts) a. First Law: ____________________________________________________________________ ______________________________________________________________________________________ b. Second Law: ___________________________________________________________________ ______________________________________________________________________________________ c. Third Law: ____________________________________________________________________ ______________________________________________________________________________________ 3) What forces acted upon Humpty Dumpty in your container and how did they affect him? (1 pt) ____________ ______________________________________________________________________________________ ______________________________________________________________________________________ 4) How did the weight of your container affect the velocity as it fell? (1 pt) ____________________________ ______________________________________________________________________________________ 5) How did Humpty Dumpty’s container’s design counteract the effects of gravity? (2 pts) ______________________________________________________________________________________ ______________________________________________________________________________________ 6) At what point did Humpty Dumpty have the greatest Potential Energy? What type of PE did he have? (2 pts) ________________________________________________________________________________ 7) At what point in the fall did Humpty Dumpty have the greatest Kinetic Energy? How do you know? (2 pts) ______________________________________________________________________________________ 8) What do you wish you had done differently with Humpty Dumpty’s device? (2 pts) ______________________ ______________________________________________________________________________________ Egg-straordinary Calculations (11 pts) Be sure to use proper units! Velocity = distance / time Potential Energy = mass x gravity x height from ground level Momentum = mass x velocity Kinetic Energy = ½ mass x velocity2 Mass: (3 pts) Mass of your egg g Mass of Humpty Dumpty’s device (kg) kg g Total mass (kg) kg Velocity: (6 pts) Distance device fell from (m) cm Time it took to fall (s) Velocity of Humpty Dumpty’s falling device (m/s) m How much momentum (kg x m/s) did Humpty Dumpty’s device gain as it fell? _______________ Show work Energy: (2 pts) Potential Energy (J) Kinetic Energy (J) Swing of Things- Measuring the Motion of a Pendulum Task 1- Examining the “Unpopular Ride” This first set of trials represents the unpopular ride you want to change: Length of Trial string (in “cm”) # of washers Amplitude Period What happens to the size (Angle pulled to the (# of full swings in of each swing (amplitude) side in degrees °) 1 min. *no units) as time passes? 1 50 cm 1 40° 2 50 cm 1 40° 3 50 cm 1 40° Average # of full swings (in 1 minute) (add Trial 1 + 2 + 3, then divide the answer by 3) Task 2- Length of the Pendulum String Define Problem: How does changing the length of the pendulum string affect the period of the pendulum? Hypothesis: (If, then, because) ______________________________________________________ ______________________________________________________________________________ Experiment: Controlled Variable: What about this experiment will you keep constant throughout your trials? _____________________ ____________________ Independent Variable: (You have control over changing) _____________________ _________________________ Dependent Variable: (Changes as you change the independent variable) Length of Trial string (in “cm”) # of washers Amplitude (Angle pulled to the side in degrees °) Period ____________________ Average Period # of full (# of full swings in swings in 1 minute (add trials 1 min. *no units*) 1 10 cm 1 40° 2 10 cm 1 40° 3 30 cm 1 40° 4 30 cm 1 40° 5 50 cm 1 40° Use Average from 6 50 cm 1 40° Task 1: 50 cm, 40°!! 7 70 cm 1 40° 8 70 cm 1 40° then divide by 2 *no units*) Graph: Graph the average data above on the graph provided in the back of this lab packet. What happens to the size of each swing (its amplitude) as time passes? ________________________ Task 3- Amplitude (Initial Angle from Start to Rest) Define Problem: How does changing the amplitude (angle from start to rest) affect the period of the pendulum? Hypothesis: (If, then, because) ______________________________________________________ ______________________________________________________________________________ Experiment: Controlled Variable: What about this experiment will you keep constant throughout your trials? _____________________ ____________________ _____________________ Independent Variable:_______________________ Dependent Variable: ____________________ Length of Trial string (in “cm”) # of washers Amplitude (Angle pulled to the side in degrees °) 1 50 cm 1 10° 2 50 cm 1 10° 3 50 cm 1 50° 4 50 cm 1 50° 5 50 cm 1 90° 6 50 cm 1 90° Period Average Period # of full (# of full swings in swings in 1 minute (add trials 1 min. *no units*) then divide by 2 *no units*) Graph: Graph the average data above on the graph provided in the back of this lab packet. Task 4- Suspended Mass Define Problem: How does changing the suspended mass affect the period of the pendulum? Hypothesis: (If, then, because) ______________________________________________________ ______________________________________________________________________________ Experiment: Controlled Variable: What about this experiment will you keep constant throughout your trials? _____________________ ____________________ _____________________ Independent Variable:_______________________ Dependent Variable: ____________________ Length of Trial string (in “cm”) # of washers Amplitude (Angle pulled to the side in degrees °) 1 50 cm 1 40° 2 50 cm 1 40° 3 50 cm 3 40° 4 50 cm 3 40° 5 50 cm 5 40° 6 50 cm 5 40° Period Average Period # of full (# of full swings in swings in 1 minute (add trials 1 min. *no units*) then divide by 2 *no units*) Graph: Graph the average data above on the graph provided in the back of this lab packet. Conclusion: How did changing the length of the pendulum string affect the period (number of full swings in a minute)? __________________________________ __________________________________ __________________________________ __________________________________ __________________________________ __________________________________ __________________________________ __________________________________ __________________________________ Conclusion: How did changing the amplitude affect the period (number of full swings in a minute)? ______________________________ ______________________________ ______________________________ ______________________________ ______________________________ ______________________________ ______________________________ ______________________________ ______________________________ Conclusion: How did changing the suspended mass affect the period (number of full swings in a minute)? __________________________ __________________________ __________________________ __________________________ __________________________ __________________________ __________________________ __________________________ __________________________ __________________________ Swing of Things Conclusion Questions- For full credit, write in complete sentences. Be as thorough as possible. The more you include, the more points you can possibly earn for your response. 1) What force(s) keep a pendulum going? Explain. __________________________________________ _____________________________________________________________________________ _____________________________________________________________________________ 2) What forces cause a pendulum to come to a stop? Explain. _________________________________ _____________________________________________________________________________ _____________________________________________________________________________ 3) At what point in a pendulum’s swing does the washer have the most potential energy? Why? _____________________________________________________________________________ _____________________________________________________________________________ 4) At what point does it have the most kinetic energy? Why? How could it gain more KE? _____________________________________________________________________________ _____________________________________________________________________________ _____________________________________________________________________________ 5) What is happening to the total energy of the pendulum as time goes on? Explain. _____________________________________________________________________________ _____________________________________________________________________________ Brake It, Car: _______ But Don’t Break It $ You and your partners are industrial engineers working at a glassware company. At the warehouse, carons of fragile glassware are stored in a loft above the ground floor. The president of the company has given you the job of designing a ramp for cars to carry the boxes of glassware down to the main floor. The ramp must fit in a relatively small area and get the glass down quickly, but without breaking. It will take too long to wrap each glass with protective padding or to fasten the boxes down. Speed alone must provide the margin of safety. $Task 1:Ramp Height Define Problem: How does the height of the ramp affect the distance that the car rolls? Hypothesis: (If, then, because) ______________________________________________________ ______________________________________________________________________________ Experiment: Controlled Variable: What about this experiment will you keep constant throughout your trials? _____________________ ____________________ Independent Variable: (You have control over changing) _____________________ _________________________ Dependent Variable: (Changes as you change the independent variable) Trial ____________________ Ramp Starting Position Distance Rolled Total Distance (d) Number Shifting Height (Distance from where car in “cm” in “cm” (Starting position of Units in “cm” started to the base of ramp) + Distance Rolled) 1 5 cm 48 cm 1 2 10 cm 48 cm 1 3 15 cm 48 cm 1 4 20 cm 48 cm 1 5 25 cm 48 cm 1 6 30 cm 48 cm 1 7 35 cm 48 cm 1 8 40 cm 48 cm 1 Washers $Task 2:Starting Position on Ramp Define Problem: How does the starting position of the car on the ramp affect the distance that the car rolls? Hypothesis: (If, then, because) ______________________________________________________ ______________________________________________________________________________ Experiment: Controlled Variable: What about this experiment will you keep constant throughout your trials? _____________________ ____________________ _____________________ Independent Variable:_______________________ Dependent Variable: ____________________ Trial Ramp Starting Position Distance Rolled Total Distance (d) Number Shifting Height (Distance from where car in “cm” in “cm” (Starting position of Units in “cm” started to the base of ramp) + Distance Rolled) 1 20 cm 0 cm 1 2 20 cm 5 cm 1 3 20 cm 10 cm 1 4 20 cm 15 cm 1 5 20 cm 20 cm 1 6 20 cm 25 cm 1 7 20 cm 30 cm 1 8 20 cm 35 cm 1 Washers $Final Challenge:Eliminate Breakage Now that you have finished the preliminary tests, it is time to prepare your design for the warehouse ramp. The president has offered to let you use any materials you wish (screen, foam, fabric) to help stop the car once it rolls down the ramp. The washer(s) should not move much after slowing to a stop, or hitting the barrier. The group that does the following will win the contract with the glassware company: Has the car starting at the highest starting position on the ramp, stops the car in the shortest distance, and moves the load the least. Goal Has the highest ramp height Has the car starting at the highest starting position on the ramp Stops the car in the shortest distance Moves the load the least Successfulness of Ramp 5 Ramp height of 41-60 cm 4 Ramp height of 31-40 cm 3 Ramp height of 21-30 cm 2 Ramp height of 11-20 cm 1 Ramp height of 0-10 cm Starts car from a height of 48-61 cm Starts car from a height of 30-47.9 cm Starts car from a height of 20-29.9 cm Starts car from a height of 10-19.9 cm Starts car from a height of 0-9.9 cm Stops the car in 1-10 cm 0 washers fall off the car Achieves goal on first try Stops the car in 10.1-25 cm 1 washer falls off the car Achieves goal on second try Stops the car in 25.1-45 cm 2-4 washers fall off the car Achieves goal on third try Stops the car in 45.1-60 cm 5-7 washers fall off the car Achieves goal on fourth try Stops the car in 60.1 cm or more 8-10 washers fall off the car Achieves goal on fifth try Graphing: Conclusion: 1. How did the height of the ramp affect the distance the car rolled? Was your hypothesis correct? ___________________________________________________________________________ ___________________________________________________________________________ 2. How did the starting position affect the distance the car rolled? Was your hypothesis correct? ___________________________________________________________________________ ___________________________________________________________________________ 3. What kind of energy does the car have before it starts to roll down the ramp? Why? ___________________________________________________________________________ 4. How much energy did the car have before it started to roll down the ramp? Assume the mass of the car is ________g or ________ kg. ________________________________________________ 5. What kind of energy does the car have as it is rolling down the ramp? Why? __________________ ___________________________________________________________________________ 6. What forces are acting on the car as it rolls down the ramp? What affect do they have on the car? ___________________________________________________________________________ ___________________________________________________________________________ 7. What would happen to the blocks if the car ran into the solid barrier? How does this observation show Newton’s First Law of Motion? _______________________________________________ ___________________________________________________________________________ 8. How can the results of these tasks be applied to designing amusement park rides? ___________________________________________________________________________ ___________________________________________________________________________ Give it a Whirl Exploring Circular Motion and Whirling Rides You work for an amusement park ride design company. The company has asked you to design a new whirling ride that demonstrates centripetal force and G force, and wants you to submit your ride concept in the form of a diagram. You will experiment with a ride that has a seat attached to the end of a cable. The cable and seat should be able to extend outward as the ride revolves faster and faster. Incorporate this experiment into your new and different thrill ride. Data Tables and line Graphs Independent Radius (cm) Variable: Trial Time Gs 1 30 s 6 2 30 s 6 3 30 s 6 20 cm 30 cm 50 cm 60 cm Average RPM: Revolutions Per Minute (Average * 2) Independent Variable: Trial Time Radius 1 30 s 40 cm 2 30 s 40 cm 3 30 s 40 cm Number of Gs (# of washers) 2 Gs 6 Gs 10 Gs Average RPM: Revolutions Per Minute (Average * 2) Note: Sketches on the following page should be completed while collecting this data. Angle Sketching Sketch your contraption, estimating the angle formed between the straw and the rider. Draw diagrams of what you see. Repeat the experiment several times with additional Gs attached. *Refer back to these sketches when you are ready to answer Conclusion Question #3. Example: Show # of Gs, and angle 2 Gs 6 Gs 10 Gs between straw and rider Conclusion Questions 1. What happened to the RPMs of the rider when you added additional Gs? 2. What happened to the RPMs of the rider when you decreased the radius of the circular path? 3. As the number of Gs increased, how did the angle between the straw and the rider change? 4. The revolving rider is constantly changing its direction of motion. Newton’s Second Law says a change in motion must be caused by a force. What produces the force that causes the circular motion of the rider? What happens to the motion of the rider as the force is increased? 5. According to Newton’s Third Law, the rider must exert an equal an opposite force on the string. How did this experiment show this equal and opposite reaction? 6. Predict what would happen if the string attached to the rider suddenly broke. In what direction will the rider go? Which Law of Motion predicts that this is what will happen? 7. What new things did you learn about the design of amusement park rides from this activity? (List three or more) Final Sketch: What will your ride actually look like? Prepare a sketch of your final ride design that includes all of the following: Force/Law of Motion- use arrows to indicate direction Artistic Value Net force Acceleration (+/-) Inertia Centripetal force Centrifugal force 1st Law- Inertia 2nd Law- F = ma 3rd Law- =/opp reaction Color (colored pencils or markers) Neatly done - Use ruler or straight edge to draw Creative Short (2-3 sentence) Description of Ride G-force/gravity Friction (sliding, rolling, fluid) What would I expect to see if I was standing in front of the ride, and then it started? Description: ____________________________________________________________________ ______________________________________________________________________________ ______________________________________________________________________________ ______________________________________________________________________________ ______________________________________________________________________________ ______________________________________________________________________________ ______________________________________________________________________________