Question

A man goes at the top of a smooth inclined plane. He releases a bag to fall freely and himself slides down on inclined plane to reach the bottom. If u1, and u2 are the velocities of the man and bag respectively, then

• A. $ {{u}_{1}}>{{u}_{2}} $
• B. $ {{u}_{1}}<{{u}_{2}} $
• C. $ {{u}_{1}}={{u}_{2}} $
• D. $ {{u}_{1}}\,and\,{{u}_{2}}\,cannot\,be\,compared $

Answer 1

Answer: (C)

The gravitational force is conservative, so the work done by it is independent of path. Hence in both cases $ \frac{1}{2}m{{u}^{2}}=mgh $ $ u=\sqrt{2hg}, $ independent of mass So, $ {{u}_{1}}={{u}_{2}} $