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A particle of mass m is driven by a mach...

A particle of mass m is driven by a machine that delivers a constant power k watts. If the particle starts from rest the force on the particle at time t is

A

`sqrt((mk)/2)t^(-1//2)`

B

`sqrt(mk)t^(-1//2)`

C

`sqrt(2mk) t^(-1//2)`

D

`1/2 sqrt(mk)t^(-1//2)`

Text Solution

Verified by Experts

The correct Answer is:
A
Work done `=kt =1/2 mv^2` = change in kinetic energy
`therefore v=sqrt((2kt)/m)`
So, required force `=ma =m(dv)/(dt) =msqrt((2k)/m)*1/2 t^(-1//2)`
`=sqrt((mK)/2)t^(-1)`
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