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The mass of moon is 1/81 of the mass of ...

The mass of moon is 1/81 of the mass of earth. If gravitational force of earth on moon is F, then the gravitational force of moon on earth is

A

F/81

B

F

C

9F

D

81F

Text Solution

Verified by Experts

The correct Answer is:
A

Gravitational force of earth `F = (GM)/(R^(2))m`
Gravitational force of moon, `F. = (G(M)/(81)m)/(R^(2))`
`rArr" "F. = (F)/(81)`
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Knowledge Check

  • The mass of the moon is about 1.2% of the mass of the earth. Compared to the gravitational force the earth exerts on the moon, the gravitational force the moon exerts on earth

    A
    Is the same
    B
    Is smaller
    C
    Is greater
    D
    Varies with its phase
  • The mass of moon 1% of mass of earth. The ratio of gravitational pull of earth on moon and that of moon on earth will be

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    `1:1`
    B
    `1:10`
    C
    `1:100`
    D
    `2:1`
  • The mass of the moon is 1/81 of the earth but the gravitational pull is 1/6 of the earth. It is due to the fact that

    A
    The radius of the moon is `81/6` of the earth
    B
    The radius of the earth is `9/sqrt(6)` of the moon
    C
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    D
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