Suppose mass and radius of the planet are half and twice that of earth respectively. if acceleration due to gravity of the earth is 10m/s2. find acceleration due to gravity of that planet?

Explanation:

The acceleration of gravity at the surface of a planet planet is given by:

where

G is the gravitational constant

M is the mass of the planet

R is the radius of the planet

Calling M the Earth's mass and R the Earth's radius, the equation above represents the acceleration due to gravity at the Earth's surface, and so

Here we have a planet with:

M' = M/2 (mass is half that of Earth)

R' = 2R (radius is twice that of Earth)

So the acceleration due to gravity of this planet is: