Question

A block of mass $M$ is pulled along a horizontal surface by a rope of mass $m$ by applying a force $F$ at one end of the rope. The force which the rope exerts on the block is :

• A. $\frac{MF}{m+M}$
• B. $\frac{mF}{m+M}$
• C. $\frac{mF}{M-m}$
• D. $\frac{MF}{M-m}$

Answer 1

Answer: (A)

$\frac{MF}{m+M}$

Taking $(M+m)$ as system:

$a=\frac{F}{(M+m)}$

This will be acceleration of block.

So, force exerted by rope $=a\times M$ $=\frac{FM}{(M+m)}$