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The kinetic energy needed to project a b...

The kinetic energy needed to project a body of mass m from the earth's surface to infinity is

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`KE = (1)/(2) m nu_(e)^(2)`
`= (1)/(2) m ((2 GM)/(R))`
`= (m)/(R )(gR^(2))` (as `GM = gR^(2))`
`= mgR`
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Knowledge Check

  • The kinetic energy needed to project a body of mass m from the eath surface (radus R) to infinity is

    A
    `mgR/2`
    B
    `2mgR`
    C
    `mgR`
    D
    `mgR/4`

  • The kinetic energy needed to project a body of mass m from the earth surface (radius R) to infinity is

    A
    `(mgR)/(2)`
    B
    `2mgR`
    C
    `mgR`
    D
    `(mgR)/(2)`

  • The kinetic energy needed to project a body of mass m from the surface of the earth to infinity is

    A
    `12xx10^(7)J//kg`
    B
    `12.5xx10^(7)J//kg`
    C
    `6.25xx10^(7)J//kg`
    D
    `25xx10^(7)J//kg`

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