STANDARD Physics Tension in Strings MCQ Question
A monkey of mass 40 kg climbs on a massless rope which can stand a maximum tension of 500 N. In which of the following cases will the rope break? (Take g = 10 m s⁻²)
The monkey climbs up with an acceleration of 5 m s⁻².
The monkey climbs down with an acceleration of 5 m s⁻².
The monkey climbs up with a uniform speed of 5 m s⁻¹.
The monkey falls down the rope freely under gravity.
Correct Answer
Detailed Explanation
The tension in the rope will be equal to the apparent weight of the monkey. When the monkey climbs up with an acceleration of 5 m s⁻², the tension R = m(g + a) = 40(10 + 5) = 600 N, which exceeds the maximum tension the rope can stand (500 N). Therefore, the rope will break in this case.
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