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3.7. The graph to the right shows the momentum of two carts on an almost frictionless track be- fore, during, and after they collide. The mass of cart 1 is 1.0 kg, and m₂ = 3.0 kg. (a) What is the change in momentum of each cart? (Remember, Ap' is a vector!) (b) Approximate the size and direction of the average force exerted by cart 2 on cart 1. (c) What is the coefficient of restitution of this collision? Px (kg-m/s) 3 2 1 0 -1 -2 cart 1 2 cart 2 collision 4 6 cart 2 cart 1 8 t (s) 10

3.7. The graph to the right shows the momentum of two carts on an almost frictionless track be- fore, during, and after they collide. The mass of cart 1 is 1.0 kg, and m₂ = 3.0 kg. (a) What is the change in momentum of each cart? (Remember, Ap' is a vector!) (b) Approximate the size and direction of the average force exerted by cart 2 on cart 1. (c) What is the coefficient of restitution of this collision? Px (kg-m/s) 3 2 1 0 -1 -2 cart 1 2 cart 2 collision 4 6 cart 2 cart 1 8 t (s) 10

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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### Physics Problem 3.7 This exercise involves analyzing a graph that illustrates the momentum of two carts on an almost frictionless track during different phases of their interaction: before, during, and after a collision. The mass of cart 1 (\(m_1\)) is 1.0 kg, and the mass of cart 2 (\(m_2\)) is 3.0 kg. #### Questions: (a) What is the change in momentum of each cart? (Remember, \(\Delta \vec{p}\) is a vector!) (b) Approximate the size and direction of the average force exerted by cart 2 on cart 1. (c) What is the coefficient of restitution of this collision? #### Graph Analysis: - **Y-axis:** Represents momentum in the x-direction (\(p_x\)) measured in kg·m/s, ranging from -2 to 3. - **X-axis:** Represents time (\(t\)) measured in seconds, ranging from 0 to 10 seconds. - **Cart 1 Momentum:** Initially has a value of 2 kg·m/s, which decreases to 0 kg·m/s after the collision at approximately 3 seconds, and then returns to about 1 kg·m/s. - **Cart 2 Momentum:** Initially is 0 kg·m/s, rises to about 2 kg·m/s after the collision around the same time as cart 1's decrease. The collision occurs in the shaded region of the graph, between approximately 2 to 4 seconds. During the collision, cart 1's momentum decreases while cart 2's momentum increases, indicating an exchange of momentum between the two carts.
Transcribed Image Text:### Physics Problem 3.7 This exercise involves analyzing a graph that illustrates the momentum of two carts on an almost frictionless track during different phases of their interaction: before, during, and after a collision. The mass of cart 1 (\(m_1\)) is 1.0 kg, and the mass of cart 2 (\(m_2\)) is 3.0 kg. #### Questions: (a) What is the change in momentum of each cart? (Remember, \(\Delta \vec{p}\) is a vector!) (b) Approximate the size and direction of the average force exerted by cart 2 on cart 1. (c) What is the coefficient of restitution of this collision? #### Graph Analysis: - **Y-axis:** Represents momentum in the x-direction (\(p_x\)) measured in kg·m/s, ranging from -2 to 3. - **X-axis:** Represents time (\(t\)) measured in seconds, ranging from 0 to 10 seconds. - **Cart 1 Momentum:** Initially has a value of 2 kg·m/s, which decreases to 0 kg·m/s after the collision at approximately 3 seconds, and then returns to about 1 kg·m/s. - **Cart 2 Momentum:** Initially is 0 kg·m/s, rises to about 2 kg·m/s after the collision around the same time as cart 1's decrease. The collision occurs in the shaded region of the graph, between approximately 2 to 4 seconds. During the collision, cart 1's momentum decreases while cart 2's momentum increases, indicating an exchange of momentum between the two carts.
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