1) A body weighs 30 kg on the surface of the earth. How much would it weigh on the surface of the planet whose mass is 1/9 the mass of the earth and radius is half that of earth.
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Answered by
264
mass m = 30 kg on Earth
weight = m g = m G M / R²
G = universal gravitational constant
M = mass of Earth
R = Radius of Earth
mass of the body remains same on the surface of other planets.
gravity on a planet = g' = G M' / R' ²
M' = M/9 and R' = R/2
=> g ' = G M/R * 4/9 = 4 g / 9
weight on the planet = m g' = 4/9 m g = 4/9 * 30 kg = 40/3 kg
weight = m g = m G M / R²
G = universal gravitational constant
M = mass of Earth
R = Radius of Earth
mass of the body remains same on the surface of other planets.
gravity on a planet = g' = G M' / R' ²
M' = M/9 and R' = R/2
=> g ' = G M/R * 4/9 = 4 g / 9
weight on the planet = m g' = 4/9 m g = 4/9 * 30 kg = 40/3 kg
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Answered by
30
f=mg
f= 700 GM/r^2
f= 700 g m/7/(r/2)^2
f = 400 GM
f= 700 GM/r^2
f= 700 g m/7/(r/2)^2
f = 400 GM
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