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A body of mass 40 kg wants to climb up a...

A body of mass 40 kg wants to climb up a rope hanging vertically. The rope can withstands a maximum tension of 500 N. What is the maximum acceleration with which the boy can climb rope? Tak e `g=10m//s^(2)`

A

`1.5m//s^(2)`

B

`2.0m//s^(2)`

C

`2.5m//s^(2)`

D

`3.0m//s^(2)`

Text Solution

Verified by Experts

The correct Answer is:
C
This is similar to the motion of a lift. The maximum tension in the rope is given by
`T_(max)=m (g+a)` where a= maximum acceleration
`therefore 500 =40 (10+ a)=400+ 4a`
`therefore a=2.5 m//s^2`
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