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A variable force F acts on a body which ...

A variable force `F` acts on a body which is free to move. The displacement of the body is proportional to `t^(3)`, where `t` = time. The power delivered by `F` to the body will be proportional to

A

`t`

B

`t^(2)`

C

`t^(3)`

D

`t^(4)`

Text Solution

Verified by Experts

The correct Answer is:
C
A variable ………………
Displacement `= s = kt^(3)` where `k` = constant.
`v = (ds)/(dt)=3kt^(2)` , `a =(dv)/(dt)=6kt`
`F= ma=6mkt`
Power `= Fv = 18mk^(2)t^(3)propt^(3)`.
`v =(ds)/(dt)= 3kt^(2)` , `a = (dv)/(dt) = 6kt`
`F = ma = 6kmt`
power `= Fv = 18mk^(2)t^(3)prop t^(3)`.
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