# 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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by ashokBassi

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by ashokBassi

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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