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 $F = {F_0}\left[ {1 - {{\left( {{{t - T} \over T}} \right)}^2}} \right]$Where F0 and T are constants. The force acts only for the time interval 2T. The velocity v of the particle after time 2T is :

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

$F = {F_0}\left[ {1 - {{\left( {{{t - T} \over T}} \right)}^2}} \right]$

Where F₀ and T are constants. The force acts only for the time interval 2T. The velocity v of the particle after time 2T is :

2F₀T/M

F₀T/2M

4F₀T/3M

F₀T/3M

Solution

Please login to view the detailed solution steps...

Go to DASH