In each situation shown in the figure below, a ball moves from point A to point B. For each case, find an algebraic expression for the change in potential energy in terms of the parameters given in the figure. You can assume that the radius of the ball is negligible. (Use any variable or symbol stated on each corresponding picture along with the following as necessary: \( g \) )- \(\Delta U_{\text{Case 1}} =\) [ ]- \(\Delta U_{\text{Case 2}} =\) [ ]- \(\Delta U_{\text{Case 3}} =\) [ ]**Case 1:**- A ball with mass \( m \) moves down an inclined plane from height \( h \), at an angle \( \theta \).**Case 2:**- The ball rolls down a curved path. It starts at height \( \frac{5}{2} R \) at point A and at point B it is at the center of a semicircular arc with radius \( R \).**Case 3:**- The ball rolls down another curved path. It starts at height \( 2R \) at point A and ends at point B, inside the arc with radius \( R \). The task is to determine the change in potential energy \(\Delta U\) for each respective case using the given parameters.

Case 1 The potential energy at A and B: PEA=mghPEB=0 Change in potential energy:…

Answered: In each situation shown in the figure…

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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