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What is the minimum energy required to l...

What is the minimum energy required to launch a satellite of mass m from the surface of a planet of mass M and radius R in a circular orbit at an altitude of 2R?

A

`( 5 G m M )/( 6 R)`

B

`( 2 G m M )/( 3 R)`

C

`( G m M )/( 2R)`

D

`( G m M )/( 3 R)`

Text Solution

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The correct Answer is:
A
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Knowledge Check

  • What is the minimum energy required to launch a satellite of mass m from the surface of a planet of mass M and radius R in a circular orbit at an altitude of 3R ?

    A
    `(7"GmM")/(8R)`
    B
    `(2"GmM")/(3R)`
    C
    `("GmM")/(2R)`
    D
    `("GMm")/(2R)`

  • At satellite of mass m is launched from the surface of a planet of mass M and radius R in a circular orbit at an altitude of 3R. K.E. of satellite at the time of launching is

    A
    `(7)/(8) (GMm)/(R )`
    B
    `(8)/(7)(GMm)/(R )`
    C
    `(6)/(7)(GMm)/(R )`
    D
    `(7)/(8)(GMm)/(R^(2))`

  • The minimum energy required to launch a m kg satellite from earth’s surface in a circular orbit at an altitude of 2R, R is the radius of earth, will be

    A
    `3/5mgR`
    B
    `5/6mgR`
    C
    `2mgR`
    D
    `1/5mgR`

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