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A force F acting on a body depends on it...

A force `F` acting on a body depends on its displacement `S` as `FpropS^(-1//3)` . The power delivered by `F` will depend on displacement as

A

`S^(-5//3)`

B

`S^(2//3)`

C

`S^(1//2)`

D

`S^(@)`

Text Solution

Verified by Experts

The correct Answer is:
D

The engine of the car has to overcome the frictional resistive force R and in addition to it, it has to accelerate the car with an acceleration a.
`therefore` The total applied by the engine F = R + ma
`therefore` Rate of doing work of the engine
`=(W)/(t)` = Power = Force `xx` Velocity
`therefore P =(R+ma)v`
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