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A particle of mass m moves on a straight...

A particle of mass m moves on a straight line with its velocity varying with the distance travelled according to the equation `v=asqrtx`, wher ea is a constant. Find the total work done by all the forces during a displacement from `x=0 to x=d`.

Text Solution

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`v_(x=0) : v_(x=b)=asqrt(b)`
`:. W_(All)=DeltaKE=K_(f)-K_(i)`
`1/2m(v_(f)^(2)-v_(i)^(2))=1/2xxm[(alphasqrtb)^(2)-0]`
`=1/2malpha^(2)b`.
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