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JEE Main 20211 SeptemberEvening Shift
Exam
JEE Main
Year
2021
Date
1 September
Shift
Evening Shift
Subject
Physics
Chapter
Work, Power and Energy

JEE Main 2021 · 1 September · Evening Shift · Physics · Work, Power and Energy

A body of mass m dropped from a height h reaches the ground with a...

A body of mass mm dropped from a height hh reaches the ground with a speed of 0.8gh.0 . 8\sqrt{gh} . The value of work done by the air-friction is:

Options

  1. A−0.68mgh- 0 . 68mgh
  2. Bmghmgh
  3. C0.64mgh0 . 64mgh
  4. D1.64mgh1 . 64mgh

Correct answer

A. −0.68mgh- 0 . 68mgh

Step-by-step solution

K1+U1=K2+U2+Wf{K}_{1} + {U}_{1} = {K}_{2} + {U}_{2} + {W}_{f}
Wf:{W}_{f}: work done against friction
0+mgh=12mv2+0+Wf0 + mgh = \dfrac{1}{2}m{v}^{2} + 0 + {W}_{f}
mgh=12m(0.64)gh+Wfmgh = \dfrac{1}{2}m\left(0 . 64\right)gh + {W}_{f}
Wf=0.68mgh{W}_{f} = 0.68mgh
Work done by friction Wf′=−Wf=−0.68mgh{W}_{f}^{'} = - {W}_{f} = - 0.68mgh

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