Question

Mass of a monkey is $50kg$ . It climbs up a rope having breaking strength $800N$ . In which of the following cases, the rope will break $\left(g=10m{s}^{-2}\right)$ ?

• A. Climbs down with an acceleration of $6m{s}^{-2}$ .
• B. Climbs up with an acceleration of $5m{s}^{-2}$ .
• C. Climbs up with an acceleration of $6.5m{s}^{-2}$ .
• D. All of the above.

Answer 1

Answer: (C)

For upward climbing $T=m\left(g+a\right)$
and for downward $T=m\left(g-a\right)$
Rope breaks when $T\ge$ Breaking strength
In $III$ option
$T=m\left(g+a\right)=50\left(10+6.5\right)=825N$