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The graph between the resistance force F...

The graph between the resistance force F acting on a body and the distance covered by the body is shown in the figure. The mass of the body is 25kg and initial velocity is `2 m//s^(2)`. 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

Initial KE of the body `=(1)/(2)mv^2=(1)/(2)xx25xx4=50J`
Work done against resistive force
`=` Area between F-x graph
`(1)/(2)xx4xx20=40J`
final KE`=`initial KE`-`work done against resistive force
`=50-40=10J`
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