Question

A body weighs 36 kg on the surface of earth. How much would it weigh on the surface of a planet, whose mass is 1/9 and radius is 1/3 of that of earth?

Answer 1

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

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