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The velocity (v) of a pariticle of mass ...

The velocity (v) of a pariticle of mass m moving along x-axls is given by `v=bsqrtx,` where b is a constant. Find work done by the force acting on the particle during its motion from `x=0` to `x=4m.`

Text Solution

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Hint : `v_(i)=bsqrt0=0.`
`v_(f)=bsqrt4=2b`
`W=K_(f)-K_(i)`
`=(1)/(2)mv_(f)^(2)-(1)/(2)mv_(i)^(2)`
`v_(i)=bsqrt0=0" "v_(f)=bsqrt4=2b`
`W=K_(f)-K_(i)=(1)/(2)mv_(f)^(2)-(1)/(2)mv_(1)^(2)`
`=(1)/(2)xxmxx4b^(2)=2mb^(2)`
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