A massless rope of length `100 m` and of breaking strength `108 N` is hanging from the branch of a tree. A monkey of mass 6 kg is trying to climb up the rope starting from rest. Find the shortes time in which monkey can climb the full length of rope with uniform acceleration so that the string will not break ?

Options

A. 2 sec
B. 3 sec
C. 4 sec
D. 5 sec

Answer

D

Explanation

May acceleration with which monkey can move up is given of
`T = m (g + a)`
`rArr = 108 = 6 ( 10 + a)`
`rArr a = 8 m//s^(2)`
`s = ut + (1)/(2) at^(2)`
`100 = 0 + (1)/(2) xx 8t^(2)`
`rArr t = 5 sec`