Question 65
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:
Solution
Acceleration due to gravity, g = $$\frac{Gm}{R^2}$$
here M is mass of planet and R is Radius
g = 9.8 $$m/s^2$$
On planet g'
= $$\frac{Gm}{R^2}$$ = $$\frac{Gm}{(R\div 2)^2}$$ = $$\frac{Gm}{R^2}$$ = 2g
The acc due to gravity on the planet is
g' = 2g
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