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Two carts are on an essentially frictionless track. One cart has a mass of 0.5 kg and the other has a mass of 1.5 kg. As in previous homework sets, they are initially moving toward each other, each with a speed of 0.30 m/s. But this time, they collide elastically, bringing the more massive cart to a stop and causing the less massive cart to reverse directions and have a speed of 0.60 m/s. (a) Calculate the change in momentum of each cart. Do your calculations fit with the law of conservation of momentum? Explain. (b) If the duration of the collision is about 0.30 s, what is the force of interaction between the carts? Show that the force by one is equal and opposite to the force on the other.

Two carts are on an essentially frictionless track. One cart has a mass of 0.5 kg and the other has a mass of 1.5 kg. As in previous homework sets, they are initially moving toward each other, each with a speed of 0.30 m/s. But this time, they collide elastically, bringing the more massive cart to a stop and causing the less massive cart to reverse directions and have a speed of 0.60 m/s. (a) Calculate the change in momentum of each cart. Do your calculations fit with the law of conservation of momentum? Explain. (b) If the duration of the collision is about 0.30 s, what is the force of interaction between the carts? Show that the force by one is equal and opposite to the force on the other.

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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4.4. Two carts are on an essentially frictionless track. One cart has a mass of 0.5 kg and the other has a mass of 1.5 kg. As in previous homework sets, they are initially moving toward each other, each with a speed of 0.30 m/s. But this time, they collide elastically, bringing the more massive cart to a stop and causing the less massive cart to reverse directions and have a speed of 0.60 m/s. (a) Calculate the change in momentum of each cart. Do your calculations fit with the law of conservation of momentum? Explain. (b) If the duration of the collision is about 0.30 s, what is the force of interaction between the carts? Show that the force by one is equal and opposite to the force on the other.
Transcribed Image Text:4.4. Two carts are on an essentially frictionless track. One cart has a mass of 0.5 kg and the other has a mass of 1.5 kg. As in previous homework sets, they are initially moving toward each other, each with a speed of 0.30 m/s. But this time, they collide elastically, bringing the more massive cart to a stop and causing the less massive cart to reverse directions and have a speed of 0.60 m/s. (a) Calculate the change in momentum of each cart. Do your calculations fit with the law of conservation of momentum? Explain. (b) If the duration of the collision is about 0.30 s, what is the force of interaction between the carts? Show that the force by one is equal and opposite to the force on the other.
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