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The graph between the resistive force F ...

The graph between the resistive force `F` acting on a body and the distance covered by the body is shown in the figure. The mass of the body is `25 kg` and initial velocity is `2 m//s`. When the distance covered by the body is `4m`, its kinetic energy would be

A

50 J

B

40 J

C

20 J

D

10 J

Text Solution

Verified by Experts

The correct Answer is:
D
`(KE)_(i) =1/2 mv^2 =1/2xx25 xx(2)^2 =50 J`
Work done (W) = Area under F - S graph
`=1/2 xx 20 xx 4 = 40 J`
From Work energy theorem `DeltaKE =W`
`implies 50 -(KE)_f = 40 implies (KE)_f = 10 J`
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