Question

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

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

Answer 1

Answer: (B)

climbs up with an acceleration of $6m/s^2$

The net acceleration of monkey is $a=\frac{T}{m}=\frac{600}{40}=15m/s^2$

The acceleration is $a_o=a-g=15-10=5m/s^2$

If acceleration must be lower than $5m/s^2$

Hence, The rope will break if the monkey climbs up with an acceleration of $6m/s^2$