A monkey of mass 20 kg is holding a vertical rope which breaks under a force of 25 kgf. What is the maximum acceleration with which the monkey can climb up the rope ?

Options

A. `10 ms^(-2)`
B. `2.5 ms^(-2)`
C. `5 ms^(-2)`
D. `7.5 ms^(-2)`

Answer

b

Explanation

If acceleration of monkey is a., the tension produced in the string `T = M(g + a)`, where M is the mass of monkey. But the maximum value of tension is 25 kg. Thus `25 xx g = 20 (g + a) `and if `g = 10 ms^(-2)`
`a = 2.5 ms^(-2)`
(b) is the choice