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The kinetic energy of a body is 'K'. If ...

The kinetic energy of a body is `'K'`. If one-fourth of its mass is removed and velocity is doubled, its new kinetic energy is

A

`K`

B

`3K`

C

`4K`

D

`9K//4`

Text Solution

Verified by Experts

The correct Answer is:
B
`KE = (1)/(2)m v^(2)` , `KE' = (1)/(2)m' (v')^(2)`
`m' = (3m)/(4), v' = 2v`
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Knowledge Check

  • If the momentum of a body is doubled, the kinetic energy is _____.

    A
    becomes 1/4 times
    B
    Unchanged
    C
    Doubled
    D
    becomes 4 times

  • The kinetic energy of a body is increased most by doubling its

    A
    mass
    B
    density
    C
    weight
    D
    speed

  • When the speed of a particle is doubled, its kinetic energy

    A
    remains the same .
    B
    gets doubled
    C
    becomes half
    D
    becomes 4 times

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