Question

A monkey of mass 20 kg is holding a vertical rope, which breaks under the weight of mass 25 kg. The maximum acceleration with which the monkey can climb up the rope is

• A. $7.5m/s^2$
• B. $5m/s^2$
• C. $2m/s^2$
• D. $2.5m/s^2$

Answer 1

The correct option is D $2.5m/s^2$

Maximum weight rope can hold is mg=$25\times g=250N$

Let the Upward acceleration be a ,

So $250=20\times (a_{max}+g)$

we get $a_{max}=2.5m/s^2$