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Question

A block of mass M is pulled along a horizontal frictionless suface by a rope of mass m. If a force F is applied at the free end of the rope, the net force exerted on the block will be


A

FM(M+m)

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B

Fm(M+m)

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C

FM(Mm)

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D

F

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Solution

The correct option is A

FM(M+m)


Total mass of the block-rope system = M + m
Total external force on the block-rope system = F
From Newton's second law of motion, acceleration of the block-rope system, a=FM+m
Now, net force acting on the block, F=Ma=FMM+m
Hence, the correct choice is (a).


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