Assuming the earth to be of unoform density what will be the weight of a bosy of mass 360N on the earths surface if it is 4600 KM from the earths surface?
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121.8 kg
use formula g=Gm/r^2 for both the body and calculate g for 2nd body.
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Weight of a body of mass m at the Earth’s surface, W = mg = 250 N
Body of mass m is located at depth, d = (1/2)Re
Where,
Re = Radius of the Earth
Acceleration due to gravity at depth g (d) is given by the relation:
g‘ = (1 – (d / Re)g
= [1 – (Re / 2Re) ]g = (1/2)g
Weight of the body at depth d,
W‘ = mg‘
= m × (1/2)g = (1/2) mg = (1/2)W
= (1/2) × 250 = 125 N
Explanation:
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