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Laws Of Motion

Question
CBSEENPH11026347

A monkey of mass 15 kg is climbing on a rope with one end fixed to the ceiling. If it wishes to go up with an acceleration 1 m/s, how much force should it apply to the rope if rope is 5 m long and the monkey starts from rest?

  • 150 N

  • > 160 N

  • 165 N

  • 150 < T ≤ 160 N

Solution

C.

165 N

The mass of monkey = 15 kg

   Acceleration     a = 1 m/s2

For the motion of the monkey T - [ 15 g + 15 (1) ]

Hence, T is tension in the string T = 15 g + 15

              T = 15 ( 10 + 1)

                  = 15 × 11

             T = 165 N

The monkey should apply 165 N force to the rope.