Question

The same horizontal force acts on two blocks of masses 4 kg and 2 kg resting on a smooth horizontal surface. The ratio of the times taken by them to cover equal distances is :

• A. $2:1$
• B. $1:2$
• C. $1:\sqrt{2}$
• D. $\sqrt{2}:1$

Answer 1

Answer: (D)

$\sqrt{2}:1$

Distance covered by a object of mass $m$, initially at rest, acted upon by a force is $s=\frac{1}{2}\left(a{t}^2\right)$.

So, $\frac{t_1}{t_2}=\sqrt{\frac{a_2}{a_1}}=\sqrt{\frac{m_1}{m_2}}=\frac{\sqrt{2}}{1}$