COMEDK · Physics · 5. Laws of Motion

A monkey of mass \(40 \mathrm{~kg}\) climbs up a rope which can stand a maximum tension of \(600 \mathrm{~N}\). The rope will break, when the monkey

A climbs up with an acceleration \(6 \mathrm{~ms}^{-2}\)
B climbs down with an acceleration of \(4 \mathrm{~ms}^{-1}\)
C climbs up with uniform speed of \(5 \mathrm{~ms}^{-1}\)
D slides down the rope freely under gravity

Verified Solution

Answer & Solution

Correct Answer

(A) climbs up with an acceleration \(6 \mathrm{~ms}^{-2}\)

Step-by-step Solution

Detailed explanation

Mass of the monkey, \(m=40 \mathrm{~kg}\) Maximum tension that the rope can bear, \(T_{\max }=600 \mathrm{~N}\) In option (a), acceleration of monkey, \(a=6 \mathrm{~m} / \mathrm{s}^{2}\) (upward) \(\therefore\) By equation of motion,…

Apply the relevant identity from the chapter and substitute the values established in the previous step, keeping the original constraint in view.

Use the simplified expression to isolate the unknown, then plug the result back into the question setup to confirm the working is internally consistent.

Cross-check against a boundary or limiting case. Both the dimensional balance and the qualitative behaviour at the extreme should agree with the candidate answer.

Combine the steps above to identify the correct option. The remaining choices each fail at least one of the consistency, dimensional, or boundary checks.

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