A planet has an acceleration of 12m/s^2 on its surface and has a radius of 7.5x10^6m.
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Force on a mass m on the surface of the planet is
m g=GM m/R²
g = GM /R²
M = gR² / G
M = 12 * (7.5e6) ² / 6.673e-11
M = 1x10^25 kg
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Ratio of the radius of the planet to that of earth is 7.5 / 6.371 = 1.18
Ratio of acceleration due to gravity of the planet to earth is 12 / 9.81 = 1.22
Ratio of Mass of the planet to that of earth is M/ 6 e24
M = 1.22 *1.18 ²*6e24 = 1x10^.25 kg
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m g=GM m/R²
g = GM /R²
M = gR² / G
M = 12 * (7.5e6) ² / 6.673e-11
M = 1x10^25 kg
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Ratio of the radius of the planet to that of earth is 7.5 / 6.371 = 1.18
Ratio of acceleration due to gravity of the planet to earth is 12 / 9.81 = 1.22
Ratio of Mass of the planet to that of earth is M/ 6 e24
M = 1.22 *1.18 ²*6e24 = 1x10^.25 kg
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