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The distance the sun and the earth is 1...

The distance the sun and the earth is `1.5xx10^8 km`. At what point on the line joining them, will the gravitational attraction of the sun and that of the earth be equal but opposite ? ( Mass of the sun is 336400 times the mass of the earth )

Text Solution

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The correct Answer is:
at a distance of 258000 km from the earth
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The average distance of the sun from the earth is 1.5xx10^8 km and the average distance of the moon from the earth is 384000 km. if the attraction of the sun on the earth is 180 times the attraction of the moon ,how many times is the mass of the sun greater than that of the moon ?

At what height above the surface of the earth is the gravitational potential energy of a body equal to that on the surface of the moon ? Assume that the mass of the earth is 80 times that of the moon and the radius of the earth is 4 times that of the moon. Given ,Radius of the earth =6400 km.

Knowledge Check

  • Two bodies of masses m and 4m are placed at a distance r the gravitational potential at a point on the line joining them where the gravitational field is zero is

    A
    (-4Gm)/r
    B
    (-6Gm)/r
    C
    (-9Gm)/r
    D
    zero

  • If r denotes the distance between the sun and the earth, then the angular momentum of the earth around the sun is proportional to

    A
    `(1)/( r)`
    B
    r
    C
    `sqrt( r)`
    D
    `r^(2)`

  • The earth circles around the sun once a year the work which would have to be done on the earth to bring it ot rest relative to the sun is (ignore the rotation of earth about its own axis ) given that the mass of the earth 20kg and distance between the sun an earth is 1.5xx10^8 km)

    A
    `2.7xx10^30`J
    B
    `-2.7xx10^31`J
    C
    `-2.7xx10^33`J
    D
    `+2.7xx10^33`J

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