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 $u_{1}$ and $u_{2}$ 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)

$u_{1} =u_{2}$

Answer 2

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