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A body weighs W newton at the surface of...

A body weighs `W` newton at the surface of the earth. Its weight at a height equal to half the radius of the earth will be `(k W)/(9)`. Find `k`.

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Knowledge Check

  • Consider a body which weighs w newton at the surface of the earth. Its weight at a height equals to half the radius of the earth, will be

    A
    `(w)/(2)`
    B
    `(2w)/(3)`
    C
    `(4w)/(9)`
    D
    `(8w)/(27)`

  • Statement-1 : A body weight W newton on the surface of the earth. Its weight at a height equal to half the radius of the earth will be 2 W//5 . Statement-2 : g' = g.(R^(2))/((R + h)^(2))

    A
    Statement -1 is true , Statement -2 is true , Statement-2 is a correct explanation of Statement -1.
    B
    Statement -1 is true , Statement-2 is true , Statement-2 is a correct explanation of Statement-1.
    C
    Statement-1 is true , Statement-2 is false.
    D
    Statement-1 is false , Statement-2 is true.

  • The weight of an object on the surface of the Earth is 40 N. Its weight at a height equal to the radius of the Earth is

    A
    40 N
    B
    20 N
    C
    10 N
    D
    30 N
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