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The kinetic energy K of a particle movin...

The kinetic energy K of a particle moving in a straight line depends on the distances as `K =as^2`. The force acting on the particle is
(where a is a constant) 

A

2as

B

as

C

2a

D

`sqrt(as^2)`

Text Solution

Verified by Experts

The correct Answer is:
A
Here kinetic energy `K = 1/2 mv^2 = as^2`
`:. mv^2 = 2as^2`
Differentating eqn .(i) w.r.t time t, we get
`2 mv (dv)/(dt) = 4as (ds)/(dt) = 4 asv " or " m (dv)/(dt) = 2as` .
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Knowledge Check

  • The kinetic energy K of a particle moving along a circle of radius R depends upon the distance s as K=as^2 . The force acting on the particle is

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