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If the linear momentum of a body is incr...

If the linear momentum of a body is increased by `50%` then the kinetic energy of that body increases by

A

2.25

B

0.25

C

1

D

1.25

Text Solution

Verified by Experts

The correct Answer is:
d
Let p be initial momentum of body of mass m so its K.E. is `E=(p^2)/(2m)`
New momentum `p.=p+(50)/(100)p=(3p)/(2)`
`:. E.=(p^2)/(2m)=(9p^2)/(4xx2m)`
`:.` % increase in K.E.=`(E.-E)/(E)xx100`
=`((9p^2)/(4xx2m)-(p^2)/(2m)xx100)/((p^2)/(2m))=5/4xx100`
=125%.
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Knowledge Check

  • f the linear momentum of a body is increased by 50% the K.E. will be increased by:

    A
    0.25
    B
    0.5
    C
    1
    D
    1.25

  • If the momentum of a body increases by 0-01%, its kinetic energy will increase by:

    A
    0-0%
    B
    0.0002
    C
    0.0004
    D
    0.0008

  • If linear momentum is increased by 50% then K.E will be increased by:

    A
    0.5
    B
    1
    C
    1.25
    D
    0.25

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