Consider a hypothetical planet whose mass and radius are both half that of Earth. If g is the acceleration dueto gravity on the surface of Earth, the acceleration due to gravity on the planet will be:
Acceleration due to gravity, g = $$\frac{Gm}{R^2}$$
here M is mass of planet and R is RadiusÂ
g = 9.8 $$m/s^2$$
On planet g'
=Â $$\frac{Gm}{R^2}$$ =Â $$\frac{Gm}{(R\div 2)^2}$$ =Â $$\frac{Gm}{R^2}$$ = 2g
The acc due to gravity on the planet isÂ
g'Â = 2g
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