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
A) $5:3$
B) $25:9$
C) $9:25$
D) $3:5$
Explanation
(d) $t = \frac{v}{a} \Rightarrow t \propto \frac{1}{a}(v$ is same)
$\Rightarrow \frac{t_{1}}{t_{2}} = \frac{a_{2}}{a_{1}} = \frac{m_{1}}{m_{2}} = \frac{3}{5}\ \left\lbrack \because a \propto \frac{1}{m},\ F\ is\ same \right\rbrack$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.