A particle weighs 120N on the surface of the earth.at what height above the earth's surface will its weigh be 30N?
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Weight at Earth’s surface = W = 120 N
Weight at a height h from Earth’s surface = W’ = 30 N
W and W’ are related as
W’ = W [R / (R + h)]^2
W’ / W = [R / (R + h)]^2
30 / 120 = [R / (R + h)]^2
1/2 = R / (R + h)
R + h = 2R
h = R
∴ It’s weight will be 30 N at a height equal to radius of Earth (R)
Weight at a height h from Earth’s surface = W’ = 30 N
W and W’ are related as
W’ = W [R / (R + h)]^2
W’ / W = [R / (R + h)]^2
30 / 120 = [R / (R + h)]^2
1/2 = R / (R + h)
R + h = 2R
h = R
∴ It’s weight will be 30 N at a height equal to radius of Earth (R)
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