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Question

A child weighing 25 kg slides down the rope hanging from a branch of a tall tree. If force of friction acting against him is 200 N, the acceleration of child is (take g=10 m/s2 )

A
22.5 m/s2
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B
8 m/s2
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C
5 m/s2
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D
2 m/s2
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Solution

The correct option is D 2 m/s2
By the newtons equation, Fnet=manet,

Force on the child will have, frictional force upward and his own weight donwward and the boy will be moving down with acceleration (a) let say.

Writing the force equation we get,
mgfk=ma
250200=25a, as the mass of the child is 25 kg

By solving we get,
a=2 m/s2

Hence option D is the correct answer.

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