NEET Physics Work, Energy, Power & Collision / कार्य, ऊर्जा और शक्ति NEET PYQ-Work Energy Power and Collision

A man goes at the top of a smooth inclined plane. He releases a bag to fall freely and he himself slides on inclined plane to reach the bottom. If \[{{v}_{1}}\] and \[{{v}_{2}}\] are the velocities of the man and bag respectively, then: [AIPMT 2000]

A) \[{{v}_{1}}>{{v}_{2}}\]

B) \[{{v}_{1}}<{{v}_{2}}\]

C) \[{{v}_{1}}={{v}_{2}}\]

D) \[{{v}_{1}}\] and \[{{v}_{2}}\] cannot be compared

Correct Answer: C

Solution :

The gravitational force is conservative, so the work done by it is independent of path, hence in both cases

\[\frac{1}{2}\,m{{v}^{2}}=mgh\]

\[v=\sqrt{2gh}\,;\] indepent of mass

So, \[{{v}_{1}}={{v}_{2}}\]