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Question

A body of mass 10 kg dropped from a height 20 m, acquires a velocity of 10 m/s when it reaches ground. Magnitude of work done by air resistance (in J) is

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Solution

Applying work energy theorem,
Wext=ΔK.E
Wgravity+Wair resistance=K.EfK.Ei
mgh+Wair resistance=12mv212mu2
(10×10×20)+Wair resistance=12×10×1020
[m=10 kg,h=20 m,v=10 m/s,u=0
2000+Wair resistance=500
Wair resistance=1500 J
Magnitude of Work done by air resistance is 1500 J

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