Question

A certain force gives an object of mass $m_{2}$ an acceleration of $12\, m / s ^{2}$ and an object of mass $m_{2}$ an acceleration of $3\, m / s ^{2}$. What acceleration would the force give to an object of mass $m_{2}=m_{1}$ ?

• A. $ 0.5\,m/s^{2}$
• B. $ 1.0\,m/s^{2}$
• C. $ 2.0\,m/s^{2}$
• D. $ 4.0\,m/s^{2}$

Answer 1

Answer: (D)

If force applied on mass $m_{1}$, then acceleration
$\Rightarrow 12=\frac{F}{m_{2}}$
If force applied on mass $m_{2}$, then acceleration
$3=\frac{F}{m_{2}}$
When same force is applied on $m_{2}-m_{1}$ Then,
acceleration $a=\frac{F}{m_{2}-m_{1}}=\frac{F}{\frac{F}{3}-\frac{F}{12}}$
$=4\, m / s^{2}$