Question

A particle weighs 120 n on the surface of the earth.at what height above the earth's surface will its weigh be 30 n?

Answer 1

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mass of the partilce remains same i.e. m

only the aceleration due to gravitation varies because of increase in distance

let the height be h

thus on surface of earth
F = 120N =
R2 @-----eq1
(R is the radius of earth)

then at height h,
F' = 30N  =
(R+h)2 @-----eq 2

dividing these two equations we get

4 = (R+h)2 / R2

or 2  = (R+h)/R

or h = R

Answer 2

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