Question

the mass of a plant is twice and its radius is three times that of the earth the weight of a body which has a mass of 5 kg on the surface of the Earth on that plants is​

Answer 1

Explanation:

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

Or

F=mg

f= 700 GM/r^2

f= 700 g m/7/(r/2)^2

f = 400 GM

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