Search instead for if a body's weight is 36 kg on the surface of the earth, how much would its weight on the surface of a planet whose mass is 1/9 abd radius 1/3 of the earth?
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Weight = mg
On the new planet the new acceleration of gravity, g'= GM'/R'² { where M' is the new mass of planet and R' is the new radius}
or g' = G(M/9) / (R²/9) = GM/R² = g
Since acceleration of gravity is the same for both the planets , the weight will be the same as mass is a fixed quantity throughout the universe.
Hope it helps you!
On the new planet the new acceleration of gravity, g'= GM'/R'² { where M' is the new mass of planet and R' is the new radius}
or g' = G(M/9) / (R²/9) = GM/R² = g
Since acceleration of gravity is the same for both the planets , the weight will be the same as mass is a fixed quantity throughout the universe.
Hope it helps you!
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