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Question

A particle moves in one dimension from rest under the influence of a force that varies with the distance travelled by the particle as shown in the figure. The kinetic energy of the particle after it has travelled 3 m is

A
6.5 J
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B
2.5 J
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C
4 J
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D
5 J
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Solution

The correct option is A 6.5 J
According to Work Energy Theorem,
Work done by force on the particle = Change in KE
Work done = Area under Fx graph
=F.dx
=2×2+(2+3)×12=6.5 J
W=KEfinalKEinitial=6.5 J
KEinitial=0
KEfinal=6.5 J

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