### Problem StatementA ball of mass \( m \) and speed \( v \) travels horizontally, hits a wall, and rebounds. Another ball of the same mass and traveling at the same speed hits the wall and sticks to it. Which ball has a greater change in momentum as a result of the collision? Create a momentum bar chart to explain your answer.### ExplanationTo determine which ball experiences a greater change in momentum, we analyze the situations:1. **Ball Rebounding:** - Initial momentum, \( p_i = mv \) - Final momentum after rebounding, \( p_f = -mv \) - Change in momentum, \( \Delta p = p_f - p_i = -mv - mv = -2mv \)2. **Ball Sticking:** - Initial momentum, \( p_i = mv \) - Final momentum after sticking, \( p_f = 0 \) - Change in momentum, \( \Delta p = p_f - p_i = 0 - mv = -mv \)### Momentum Bar Chart Explanation- **Rebounding Ball:** - Initial momentum bar: Height = \( mv \) - Final momentum bar: Height = \(-mv\) - Change: The total height of the bars = \( 2mv \)- **Sticking Ball:** - Initial momentum bar: Height = \( mv \) - Final momentum bar: Height = \( 0 \) - Change: The total reduction in height = \( mv \)### ConclusionThe ball that rebounds experiences a greater change in momentum (\( 2mv \)) compared to the ball that sticks (\( mv \)).

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A ball of mass m and speed v travels horizontally, hits a wall, and rebounds. Another ball of the same mass and traveling at the same speed hits the wall and sticks to it. Which ball has a greater change in momentum as a result of the collision? Create a momentum bar chart to explain your answer.

A ball of mass m and speed v travels horizontally, hits a wall, and rebounds. Another ball of the same mass and traveling at the same speed hits the wall and sticks to it. Which ball has a greater change in momentum as a result of the collision? Create a momentum bar chart to explain your answer.

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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