A particle of mass M originally|Laws of Motion| JEE MAIN2021

JEE MAIN 2021

27-07-2021 - S2

Question

A particle of mass M originally at rest is subjected to a force whose direction is constant but magnitude varies with time according to the relation
$F=F_0\left[1-\left(\frac{t-T}{T}\right)^2\right]$
Where $\mathrm{F}_0$ nd T are constant. The force acts only for the time interval 2T. The velocity v of the particle after time 2T is :

Select the correct option:

$2 \mathrm{~F}_0 \mathrm{~T} / \mathrm{M}$

$\mathrm{F}_0 \mathrm{~T} / 2 \mathrm{M}$

$4 \mathrm{~F}_0 \mathrm{~T} / 3 \mathrm{M}$

$\mathrm{F}_0 \mathrm{~T} / 3 \mathrm{M}$

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

Solution