The gravitational force on the mass m placed at surface of earth is F. Find the distance of mass in the earth from its surface feels force 0.8 F? (R = Radius of earth)
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answer
500N is the force between you and Earth. It is symmetrical as it applies to both objects. Therefore, the force you feel in the soles of your feet is 500N, the same as your pull of the Earth. Comment on Lorenzo Lucena Maguire's post “You don't sum the forces of gravity.
distance of mass from earth surface = 0.118R if force is 0.8 times
Explanation:
The gravitational force on the mass m placed at surface of earth is F
=> F = mg
distance of mass from earth surface = d
F = 0.8F
=> 0.8F = mg₁
=> 0.8 mg = mg₁
=> g₁ = 0.8g
g = GM/R²
g₁ = GM/(R+d)²
=> 0.8g = GM/(R+d)²
=> 0.8GM/R² = GM/(R+d)²
=> (R+d)² = R²/0.8
=> (R+d)² = 1.25R²
=> R + d = 1.118R
=> d = 0.118R
d = 0.118R
distance of mass from earth surface = 0.118R
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