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 ropw starting from rest. Find the shortest 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. 4 sec
C. 5 sec
D. 10 sec

Answer

C

Explanation

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