Question

A block of mass $M$ is pulled along a horizontal frictionless surface by a rope of mass $m$.

Force $P$ is applied at one end of the rope. The force which the rope exerts on the block is :

• A. $\frac{P}{(M-m)}$
• B. $\frac{P}{M(m+M)}$
• C. $\frac{PM}{(m+M)}$
• D. $\frac{PM}{(M-m)}$

Answer 1

The correct option is C $\frac{PM}{(m+M)}$

Acceleration of system $=\frac{P}{M+m}$=PM+m

Force on the block= Mass of block ×× acceleration of system

$=M\times \left(\frac{P}{M+m}\right)$

$=\frac{PM}{(M+m)}$

=M×PM+m=MPM+m