1. Tardigrade
  2. Question
  3. Physics
  4. Same force acts on two bodies of different masses 3 kg and 5 kg initially at rest. The ratio of times required to acquire same final velocity is

Question Error Report

Thank you for reporting, we will resolve it shortly

Back to Question

Q. Same force acts on two bodies of different masses 3 kg and 5 kg initially at rest. The ratio of times required to acquire same final velocity is

KEAMKEAM 2007Laws of Motion

Solution:

From Newton's second law
$ \, \, \, \, \, \, \, \, \, \, \, \, F = \frac{dp}{dt} = \frac{mv}{t} \Rightarrow t = \frac{mv}{F}$
$ \Rightarrow \, \, \, \, \, \, \, \, \, \, \frac{t_1}{t_2} = \frac{m_1}{m_2}$
Given, $m_1$ = 3 kg , $m_2$ = 5 kg
$\therefore \, \, \, \, \, \, \, \, \, \, \, \frac{t_1}{t_2} = \frac{3}{5}$