Question

For an object moving along the x axis, the potential energy of the frictionless system is shown in the figure. Suppose the object is released from rest at the point A. 1 of 1The figure shows potential energy U as a function of the x coordinate. Seven points are marked on the graph, labeled from A to G. The graph starts at some positive value at point A, then forms a narrow convex curve to point B lower than A, forms a smooth convex curve with a minimum at C, reaches point D at approximately the same height as B, forms a smooth convex curve with a minimum at E higher than C, reaches F at approximately the same height as B, then increases almost linearly to G at approximately the same height as A. Rank the other points in the figure (Figure 1) in increasing order of the object's speed. Indicate ties where appropriate.

Part A Rank the other points in the figure (Figure 1) in increasing order of the object's speed. Indicate ties where appropriate.

Answer 1

In increasing order answer is :

A = G < B = D = F < E < C

Explanation :

Point G is at same height as A and have highest potential energy therefore at these points kinetic energy will be minimum which means speed will be least at these points .. points B , D and F have same potential energy therefore they have same kinetic energies and speed .. also points B ,D , F have less potential energy than A and G therefore their kinetic energies will be more than A ,G hence their speed is greater .. Point C will have greatest speed due to least potential energy and highest kinetic energy..

Hope this helps...