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A particle of mass m moving along a stra...

A particle of mass m moving along a straight line experiences force F which varies with the distance x travelled as shown in the figure. If the velocity of the particle at `x_(0)sqrt((2F_(0)x_(0))/m)`, then velocity at `4x_(0)` is

A

`2sqrt((2F_0x_0)/(m))`

B

`2sqrt((F_0x_0)/(m))`

C

`sqrt((F_0x_0)/(m))`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
D
Increase in `KE=` work done
`(1)/(2)mv_2^2-(1)/(2)mxx((2F_0x_0)/(m))=(1)/(2)xx2F_03x_0+3F_0x_0`
`impliesv_2=sqrt((14F_0x_0)/(m))`
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