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Total kinetic energy of a rolling solid ...

Total kinetic energy of a rolling solid spher of mass m with velocity is

A

`(1)/(2)mv^(2)`

B

`(1)/(5)mv^(2)`

C

`(7)/(10)mv^(2)`

D

`(7)/(5)mv^(2)`

Text Solution

Verified by Experts

The correct Answer is:
C
`KE_("roll")=(1)/(2)mv^(2)[1+K^(2)//R^(2)]`
`= (1)/(2)mv^(2)[1+(2)/(5)]`
`= (7)/(10)mv^(2)`.
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Knowledge Check

  • Assertion The total kinetic energy of a rolling solid sphere is the sum of translational and rotationla kinetic energies . Reason For all solid bodies. Totla kinetic energy is always twice of translational kinetic energy.

    A
    Both assertion and reson are true and reason is the correct explanation of assertion
    B
    Both assetion and reason are true but reason is not the correct explanation of assertion
    C
    Assertion is true but reason is false
    D
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  • The part of total kinetic energy is the rotational kinetic energy of a solid ball rolling over a horizontal plane is

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    `2//7`
    C
    `1//2`
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