Laws Of Motion Question 153

Question: A block of mass M is pulled along a horizontal frictionless surface by a rope of mass m. If a force P is applied at the free end of the rope, the force exerted by the rope on the block will be [CBSE PMT 1993; CPMT 1972, 75, 82; MP PMT 1996; AIEEE 2003]

Options:

A)P

B) $ \frac{Pm}{M+m} $

C) $ \frac{PM}{M+m} $

D) $ \frac{Pm}{M-m} $

Show Answer

Answer:

Correct Answer: C

Solution:

Acceleration of the system $ =\frac{P}{m+M} $ The force exerted by rope on the mass $ =\frac{MP}{m+M} $



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