A Monkey is Climbing on a Rope that Goes Over a Smooth Light Pulley and Supports a Block of Equal Mass at the Other End in the Following

Answer

A

Explanation

Given `m= 15 kg`
` a= 1 m/s^2`
from free body diagram
(
`T-[15g+15(1)]=0`
`rarr T= 5(10+1)`
`rarr T= 15xx11=165N`
The monkey should apply 165 N force to the rope.
Initial velocity `u=0`
Acceleration, `a=1 m/s^2`
`S=5m`
From `S= ut+ 1/2 at^2`
` 5=0+(1/2)xx1xxt^2`
`rarr t^2 = 5xx2`
`rarr t= sqrt(10) sec`
Hence time required is `sqrt(10)` sec.