A 20 kg monkey climbs a vertical rope that can safely support a hanging mass of 25 kg but breaks for larger loads. Using g=10 m s⁻², find maximum upward acceleration the monkey can have without breaking the rope.
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Question

A 20 kg monkey climbs a vertical rope that can safely support a hanging mass of 25 kg but breaks for larger loads. Using g=10 m s⁻², find maximum upward acceleration the monkey can have without breaking the rope.

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G1 Physics · Accepted Answer

Step 1: The rope safely supports a maximum weight of 25 kg, hence Tₘₐₓ = 25g = 250 N. Step 2: For the 20 kg monkey accelerating upward, T − mg = ma. Step 3: Set T = Tₘₐₓ: 250 − 20×10 = 20a. Thus a = 50/20 = 2.5 m s⁻². Correct answer: D. The printed answer letter A in the supplied book is incorrect.