Q143 / 150 · MHT CET 2019 (Shift 1) · Physics

A block of mass M is pulled along a smooth horizontal surface with a rope of mass m by force F. The acceleration of the block will be

A
$\frac{F}{(M - m)}$
Correct answer
B
$\frac{F}{(M + m)}$
C
$\frac{F}{m}$
D
$\frac{F}{M}$

Solution

When a block of mass m is pulled along smooth horizontal surface with rope of mass m by force F, then (M + m) will be the total mass of the system.

∴ F = (M + m) a

\Rightarrow a = \frac{F}{M + m}

Hence, the correct answer is option: 'B'.

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