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A monkey of mass 20kg is holding a verti...

A monkey of mass `20kg` is holding a vertical rope. The rope will not break when a mass of `25kg` is suspended from it but will break it the mass exeeds `25kg` . What is the maximum acceleration with which the monkey can climb up along the rope? `(g=10m//s^(2))` .

A

`10m//s^(2)`

B

`25m//s^(2)`

C

`2.5m//s^(2)`

D

`5m//s^(2)`

Text Solution

Verified by Experts

The correct Answer is:
C
Tension the string `=m(g+a)` =Breacking force
implies `20(g+a)=25xxg` implies `a=g//4=2.5m//s^(2)`
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Knowledge Check

  • A monkey of 25 kg is holding a vertical rope. The rope does not break if a body of mass 30 kg is suspended with the rope exceeds 30 kg. What will be the maximum acceleration with which the monkey can climb up along the rope ? ( Take , =10 ms^(-2) )

    A
    `2 ms^(-2)`
    B
    `2.5 ms^(-2)`
    C
    `3 ms^(-2)`
    D
    `4 ms^(-2)`

  • A body of mass 60 kg is holding a vertical rope . The rope can break when a mass of 75 kg is suspended from it. The maximum acceleration with which the boy can climb the rope without breaking it is : ( g = 10 m//s^(2))

    A
    `2.5 m//s^(2)`
    B
    `5.0 m//s^(2)`
    C
    ` 7.5 m//s^(2)`
    D
    `22.5m//s^(2)`

  • 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)`

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