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A acceleration of moon with respect to e...

A acceleration of moon with respect to earth is 0.0027 `ms^-2` and the acceleration of anpple falling on earth's surface is about `10ms^-2`. Assume that the radius of the moon is one fourth of the eareth's radius. If the moon is stopped for an instant and then released, it will fal towards the earth. The initial acceleration of the moon toward the will be

A

`10ms^-2`

B

`0.0027ms^-2`

C

`6.4ms^-2`

D

`5.0ms^-2`

Text Solution

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The correct Answer is:
B
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Knowledge Check

  • The acceleration due to gravity on the Earth's surface is about 6 times that on the Moon. The radius of the Moon is nearly (4)/(18) times that of the Earth. The ratio of the binding energy of a body at rest on the Earth's surface to that on the Moon's surface is about

    A
    `(5)/(3)`
    B
    `(108)/(4)
    C
    `(5)/(108)`
    D
    `(3)/(5)`

  • The acceleration due to gravity on the surface of the moon is one-sixth that on the earth. The radius of the moon is about one-fourth tha tof the earth. If v_(e) is the escape velocity on the surfaceo f the earth, then escape velocity on the surface of the moon will be

    A
    `(4v_(e))/(6)`
    B
    `(v_(e))/(24)`
    C
    `v_(e)sqrt((4)/(6))`
    D
    `(v_(e))/(sqrt(24))`

  • The acceleration due to gravity on the surface of the moon is 1/6 that on the surface of earth and the diameter of the moon is one-fourth that of earth. The ratio of escape velocities on earth and moon will be

    A
    `(sqrt(6))/(2)`
    B
    `sqrt(24)`
    C
    3
    D
    `(sqrt(3))/(2)`

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