Question

Two bodies have masses in the ratio 3 : 4. When a force is applied on the first body, it moves with an acceleration of $6m{s}^{-2}$. How much acceleration will the same force produce in the other body?

• A. $2m{s}^{-2}$
• B. $4m{s}^{-2}$
• C. $6m{s}^{-2}$
• D. $4.5m{s}^{-2}$

Answer 1

The correct option is D $4.5m{s}^{-2}$

Ratio of masses of two bodies, $m_1:m_2=3:4$
Acceleration of the first body, $a_1=6m/s^2$
Now, Force applied on first body, $F_1=m_1\times a_1=6m_{1}N$
This same force is applied to second body, $F_2=F_1$
$\therefore m_2{a}_2=6m_1{a}_2=6\frac{m_1}{m_2}=6\times \frac{3}{4}=4.5m/s^2$