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. $1.5m{s}^{-2}$
• B. $3m{s}^{-2}$
• C. $45m{s}^{-2}$
• D. $4.5m{s}^{-2}$

Answer 1

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

Let us consider the two masses as 3x and 4x respectively.Given acceleration of first body as 6.
$F=m\times a$
$F=3x\times 6=18x$
As we are applying same force for the second body,
$18x=4x\times a$

$\Rightarrow a=18/4=4.5m/s^2$.
Hence acceleration is 4.5$m/s^2$.