Question

Force between two objects of equal masses is F. If 25 % mass of one object is transferred to the other object, then the new force will be

• A. $\frac{F}{4}$
• B. $\frac{3F}{4}$
• C. $\frac{15}{16}F$
• D. $F$

Answer 1

Answer: (B)

$\frac{3F}{4}$

Correct option is (B)

Let the external force $=T$ so,

$F_{\text{met}}=Ma$

$\begin{array}{c}T=2ma\\ T_{2m}=a\end{array}$

Internal force $T-F=ma$ $\begin{array}{c}T-T/2=F\\ T/2=F\\ T=2f\end{array}$

Now after transformation $M_1=5/4m(m+m)$

Now; $T-T_0=\frac{5}{4}ma$

$\begin{array}{c}\frac{3}{8}T=T_0\\ \frac{3}{4}F=T_0\end{array}$