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At time t=0s particle starts moving alon...

At time `t=0s` particle starts moving along the `x-` axis. If its kinetic energy increases uniformly with time `'t'`, the net force acting on it must be proportional to

A

constant

B

proportional to t

C

inversely proportional to `t^(2)`

D

proportional to` 1//sqrt(t)`

Text Solution

Verified by Experts

The correct Answer is:
D
`K.E. = 1/2 mv^2 = at (a = constant) " "implies 1/2 m 2V (dv)/(dt) = a implies (dv)/(dt) = a/v`
`implies F = a/(((2at)/(m))^(1//2)) implies F prop 1/(sqrt(t))`.
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