The mass of a body on the surface of the earth is 70kg. What will be its (i) mass and (ii) weight at an altitude of 100km? Radius of the earth is 6371km.
Text Solution
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Mass = m= 70 kg Weight on the surface of the earth `= mg = 70 xx 9.8 =686N` The mass of the body at the altitude of 100km is also the same as that on the surface of the earth i.e., 70 kg Weigth of the body at a height h is mg. `h = 100 xx 10^(3) m = 10^(5) m` Weight `= mg. = mg ( 1- (2h)/( R )) = 70 xx 9.8 ( 1- ( .2 xx 10^(5))/(6371 xx 10^(3))) = 664.46 N`
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