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Question

The velocity vs time graph of a body of mass 15 kg is shown in the figure. What is the power delivered by net external force acting on body? Consider work done by internal forces to be zero.

A
3000 W
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B
1000 W
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C
375 W
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D
500 W
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Solution

The correct option is C 375 W
From the work energy theorem, we have
ΔKE=Wext+Wint

Considering Wint=0
ΔKE=W
where W= work done by net external force
W=KEfKEi

vf=20 m/s, vi=0 m/s from the graph
W=12mvf20
W=12×15×202=3000 J

Hence, power delivered (P) to body is:
P=WΔt
Δt=8 s; time interval for action of force
P=30008=375 J/s=375 W

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