A body of mass m dropped from a height h reaches the ground with a speed of 0 . 8 g h . The value of work…

A body of mass m dropped from a height h reaches the ground with a speed of 0.8gh. The value of work done by the air-friction is:
  1. -0.68mgh
  2. mgh
  3. 0.64mgh
  4. 1.64mgh

Solution

K1+U1=K2+U2+Wf
Wf: work done against friction
0+mgh=12mv2+0+Wf
mgh=12m0.64gh+Wf
Wf=0.68mgh
Work done by friction Wf'=-Wf=-0.68mgh

Asked in: JEE Main 2021 (01 Sep Shift 2)

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