Experiment B Red Cart Blue Cart 14 Run 7 14 12 12 10 Run B 10 + Run 10 + Wooly 810-149 im's) Velocity. 362-509 0m13 Run 11 04 02 0.0 02 04 -10 .10 20 21 22 23 24 25 26 27 28 29 19 20 21 22 23 24 25 26 27 28 29 Experiment C Red Cart Blue Cart 1.4 14 Run & 12 12 10 Run S 10 + 0.8 Run 10 Run 10 + 0.6 Run 11 # -+ Velocity, 342-508 (m1 04 Run 12 Run 12+ 0.2 0.0 -0.2 0.4 0.6 0.6 -10 10 -1.2 26 28 30 32 34 36 3.8 4.0 26 28 30 32 34 36 38 40Prelab Questions 1. Two carts collide together on a track. Explain what is meant by the phrase "total momentum is conserved" in terms of the carts' multiple masses and velocities. Compare the following pairs of numbers. Are they approximately the same or significantly different? 0.06 Joules and 0.12 Joules . 0.08 Joules and 0.11 Joules 2. Sketch a SPEED-time graph that shows the motion of two carts in the following scenarios: . An explosion in which two carts (of unequal masses) both start from rest. An elastic collision: Initially, one cart is in motion and the other is at rest. Both carts move forward at different velocities after the collision. (Think about who must be faster after the collision.) An inelastic collision in which one cart is initially in motion and the other is at rest. (Think about how their final velocities must compare.) Caption all of your graphs with words to identify what's happening before and after the interaction.As you read these graphs - the SmartCarts get a little confused about direction. Ignore the positiveegative signs assigned to the velocities. Work with the speeds. In one of these Experiments, one of the velocities will need to be negative in your data table and calculations. Pay attention to the type of interaction, and it will be obvious. Which of the two carts you make negative doesn't matter- just pick one. Experiment A Red Cart Blue Cart + Run 2 02 Run Wincity #10-108(21 WHipoly 382-500 4 OTO Run S 02 04 03 04 20 21 22 23 24 25 3 20 21 22 23 24 25 26Experiment C Analysis 11. Look at the bottom two graphs on the Data Sheet. Assume both carts move forward anytime they are in motion. Draw a before/after sketch for this interaction. Identify masses and velocities with variables. 16. Here is an AP question. It is surprisingly tricky. We're going to solve it by working backwards and checking the possible answers. Before you attempt to choose an answer, do the following: a. Write an expression for the 32. In a one-dimensional perfectly elastic collision, initial momentum an object of mass m is traveling with speed vo in in terms of the given variables: the +x-direction when it strikes an object with mass 3m that is at rest. What are the objects' velocities following the collision? b. Write an expression for the Object of Mass m Object of Mass 3m initial kinetic energy 12. Is this an explosion, an elastic collision, or an inelastic collision? Justify your answer. in terms of the given variables: (A) Zero vo/3, +x-direction (B) vo/4, +x-direction vo/2, +x-direction (C) vo/2, +x-direction Vo/2, +x-direction C. Fill out the table below. (D) vo/2, -x-direction vo/2, +x-direction d. Compare your final expressions from the table with your initial expressions above. Choose an answer. Justify it in words here: 13. Fill out the velocities in the data table below using the graphs. Table C Expression in variables for Expression in variables for Total Final Momentum Total Final Kinetic Energy Trial 12 of both objects of both objects (A) Car Mass Initial Velocity Final Velocity (kg) (m/s (m/s) (B) Red 0.75 (C Blue 0.25 (D) 14. Is Total Momentum conserved within the two-cart system? Show work below. 17. For Experiment C, sketch a momentum-time graph that shows the momentum of the blue cart, the red cart, and the total momentum of the system. 15. Is Total Mechanical Energy conserved within the two-cart system? Show work below.Experiment B 6. Look at the two experiment B graphs on the Data Sheet. Draw a before/after sketch for this interaction. Experiment A Identify masses and velocities with variables. 1. Look at the two Experiment A graphs on the Data Sheet (provided in class and linked on Canvas). Assume both carts move forward anytime they are in motion (the motion sensors sometimes are confused). Draw a before/after sketch for this interaction. Identify masses and velocities with variables. 7. Is this an explosion, an elastic collision, or an inelastic collision? Justify your answer. 2. Is this an explosion, an elastic collision, or an inelastic collision? Justify your answer. 8. Fill out the velocities in the data table below using the graphs. Pay attention to negatives! Table B 3. Fill out the velocities in the data table below using the graphs. Trial 11 Table A Initial Final Car Mass Velocity Velocity Trial 1 Trial 3 (kg) (m/s) (m/s) Initial Final Initial Final Car Mass Velocity Velocity Velocity Velocity Red 0.75 (kg (m/s) (m/s) (m/s) (m/s) blue 0.25 Red 0.75 Blue 0.25 9. Is Total Momentum conserved within the two-cart system? Show work below. 4. Is Total Momentum conserved within the two-cart system during Trial 1? Show work below. 10. Is Total Mechanical Energy conserved within the two-cart system? Show work below. 5. Is Total Mechanical Energy conserved within the two-cart system during Trial 1? Show work below