At time t=0 is particle starts moving along x- axis. If its kinetic energy increases uniformly with

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5.Work, Energy, Power and Collision

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At time $t=0$ is 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

$\sqrt{t}$

B

$t$

C

$\frac{1}{\sqrt{t}}$

D

constant

(AIEEE-2011)

Solution

$\frac{1}{2} \mathrm{mv}^{2}=\mathrm{kt}$

$\therefore \mathrm{v} \propto \sqrt{\mathrm{t}}$

$\therefore$ acc. $\propto \frac{1}{\sqrt{t}}$

Standard 11

Physics

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