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Question

The displacement of a body of mass 2 kg varies with time 't' as S=t2+2t where S is in metre and 't' is in seconds. the work done by all the forces acting on the body during the time interval t = 2s to 4s is


A
Zero
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B
64J
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C
4J
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D
36J
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Solution

The correct option is C 64J
Given,

s=t2+2t

v=dsdt=ddt(t2+2t)=2t+2

Kf=12mv2f=12×2×(2×4+2)2=100J

Ki=12mv2i=12×2×(2×2+2)2=36J

W=KfKi=10036=64J

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