A body weight 63 Newton on the surface of earth what is the gravitational force on it at the height half of the radius of Earth?
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Answer:
The initial force exerted is F = mg = 63 N
so the mass of the body would be m = F/g = 63/10 kg = 6.3 kg
Now, the variation in g due to height is
g1 = g / (1 + (h/R))^2
R is the radius of Earth
g is acceleration due to gravity close to Earth's surface (or on it)
here h is half the radius of the Earth or h = R/2
so,
g1= g(1 + R/2R)^2
g1 = g / (3/2)^2
or g1
= (4/9)g = 4.44 m/s^2
Now, the force experienced by the body of mass 6.3 kg at height half the radius of Earth would be
F1 = 6.3 x 4.4 = 27.72 N
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