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in Laws of motion by (65.8k points)
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A rope which can withstand a maximum tension of 400 N hangs from a tree. If a monkey of mass 30 kg climbs on the rope in which of the following cases-will the rope break? (take g =10 ms–2 and neglect the mass of rope) 

(A) When the monkey climbs with constant speed of 5 ms–1 

(B) When the monkey climbs with constant acceleration of 2 ms–2 

(C) When the monkey climbs with constant acceleration of 5 ms–2 

(D) When the monkey climbs with the constant speed of 12 ms–1

1 Answer

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Best answer

Correct option: (C) When the monkey climbs with constant acceleration of 5 ms–2 

Explanation:

T force = m (g + a)

400 = 30(10 + a)

a = (40 / 3) – 10 = (10 / 3)

a = 3.3 m/s2 

Hence till a = 3.3 m/s2, rope wont break.

Hence when monkey climbs with a = 5 m/s2 rope will break (considering given options) 

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