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A particle is acted upon by a force F wh...

A particle is acted upon by a force `F` which varies with position `x` is shown in figure .If the particle at `x = 0` kinetic energy of `25J` then the kinetic energy of the particle at `x = 16 m` is

A

45 J

B

30 J

C

70 J

D

135 J

Text Solution

Verified by Experts

The correct Answer is:
A
Work done (W) `=1/2 xx 6 xx10 - 4 xx 5 + 4 xx 5 - 2 xx 5 = 20 J`
Now, Work energy theorem –
Work done = `DeltaKE`
`implies 20 = K_f -K_iimplies K_f = 20+25 = 45J`
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