Question

A $1kg$ block and $0.5kg$ block move together on a horizontal frictionless surface. Each block exerts a force of $6N$ on the other. The blocks move a uniform acceleration of

• A. $3m/s^2$
• B. $6m/s^2$
• C. $9m/s^2$
• D. $12m/s^2$

Answer 1

The correct option is D $12m/s^2$

Given$,$

$\begin{array}{c}{m}_1=1kg\\ m_2=0.5kg\\ F=6N\end{array}$

Since$,$ the mass of first block is more than the mass of second block and force applied on each other is same$.$

So$,$ the blocks will move with an acceleration ${}^{\prime }{a}^{\prime }$ which is given by$,$

$\begin{array}{c}a=\frac{F}{m_1-m_2}\\ =\frac{6}{1-0.5}=\frac{6}{0.5}=12m/s^2\end{array}$

Hence,

option $\left(D\right)$ is correct answer.