a body weight 72 N on the surface of the earth . calculate gravitational force on it due to the earth at a height equal to half of the earth
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Answer:
According to Newton's gravitational law,
here W is the weight of body on he surface of earth, h is the height of body from the surface of earth, r is the radius of earth.
here, weight to body , W = mg = 72N on the surface of earth. we have to find out weight of body at a height equal to half the radius of the earth above the earth's surface.
so, h = r/2
so, weight of body =
= 72/(1 + 1/2)² = 72/(3/2)² = 72 × 4/9 = 32N
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here
Explanation:
the body weight is equal to =72N
then mass =72/10
as w=mg
mass=7.2kg
then the gravitational force at height H=R/2
where R is radius of earth
so the total distance between them is
R+R/2=3R/2
if at surface of earth gravity force =72=GmM/R^2
so at height =GmM/R^2*4/9
72*4/9=8*4=32N
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