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With what velocity must a body be thrown...

With what velocity must a body be thrown upward form the surface of the earth so that it reaches a height of 10 `R_(e)` ?
earth's mass `M_(e) = 6 xx 10^(24)` kg , radius `R_(e) = 6.4 xx 10^(6)`m and `G = 6.67 xx 10^(-11) N-m^(2)//kg^(2)`.

A

`10.7 xx 10^(4) m//s`

B

`10.7 xx 10^(3) m//s`

C

`10.7 xx 10^(5) m//s`

D

`1.07 xx 10^(4) m//s`

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Knowledge Check

  • A rocket is fired vertically upwards with a speed of upsilon (=5 km s^(-1)) from the surface of earth. It goes up to a height h before returning to earth. At height h a body is thrown from the rocket with speed upsilon_(0) in such away so that the body becomes a satellite of earth. Let the mass of the earth, M = 6 xx 10^(24) kg , mean radius of the earth, R = 6.4 xx 10^(6)m, G = 6.67 xx 10^(-11) Nm^(2) kg^(-2) , g = 9.8 ms^(-2) . Answer the following questions: Time period of revollution of satellite around the earth is

    A
    `3550 s`
    B
    `7100 s`
    C
    `5330 s`
    D
    `8880 s`

  • A rocket is fired vertically upwards with a speed of upsilon (=5 km s^(-1)) from the surface of earth. It goes up to a height h before returning to earth. At height h a body is thrown from the rocket with speed upsilon_(0) in such away so that the body becomes a satellite of earth. Let the mass of the earth, M = 6 xx 10^(24) kg , mean radius of the earth, R = 6.4 xx 10^(6)m, G = 6.67 xx 10^(-11) Nm^(2) kg^(-2) , g = 9.8 ms^(-2) . Answer the following questions: The value of h is

    A
    `1.5 xx 10^(5) m`
    B
    `3.2 xx 10^(5)m`
    C
    `3.2 xx 10^(6)m`
    D
    `1.6 xx 10^(6)m`

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