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If momentum of a body increase by 25% it...

If momentum of a body increase by 25% its kinetic energy will increase by

A

25%

B

5%

C

`125%`

D

56%

Text Solution

Verified by Experts

The correct Answer is:
D
Let momentum of `p_(1)=100%"momentum of " p-(2)=125%`.
`p_(2)/p_(1)=5/4impliesp^(2)5/4p_(1) therefore v_(2)=5/4v_(1)`
`"kinetic energy"=1/2mv(2)`
`Einftyv^(2) E_(2)=(25)/(16)E_(1)`
`"Increase in" K.E.=(E_(2)-e_(1))/e_(1)xx100=((25)/(16)E_(1)-E_(1))/E_(1)xx100`
`=((25-16)/16E_(1))/E_(1)xx100=9/(16)xx100=56.25%`
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Knowledge Check

  • If the linear momentum of the object is increase by 0.1\% then the kinetic energy will increase by ______ .

    A
    `0.1%`
    B
    `0.2%`
    C
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    D
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    `0.2 %`
    C
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    D
    `0.6 %`

  • If momentum of a body increases by 100% then what will be percentage increase in its kinetic energy ?

    A
    `200%`
    B
    `100%`
    C
    `300%`
    D
    `400%`

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