Question

A monkey of mass $40$ kg climbs on a massless rope of breaking strength $600$N. The rope will break if the monkey.(Take $g=10$ $m/s^2$)

• A. Climbs up with a uniform speed of $6$m/s
• B. Climbs up with an acceleration of $6$ $m/s^2$
• C. Climbs down with an acceleration of $4$ $m/s^2$
• D. Climbs down with a uniform speed of $5$ m/s

Answer 1

The correct option is B Climbs up with an acceleration of $6$ $m/s^2$

Given Mass=40 kg and $T_{max}$=600 N and g=10 $\text{m}/s^2$

We know T-mg=ma

considering acceleration a= 6$\text{m}/s^2$

T=m(a+g)

T=40(6+10)=640 N

Thus the rope will break when the monkey climbs up with acceleration of 6$\text{m}/s^2$