Question

Suppose a planet exists whose mass is double and the radius half of that of the Earth. Calculate the acceleration due to gravity at its surface.

class 9

Answer 1

Answer:

g' = 8g

Explanation:

Let ,

Mass of earth = M

then , mass of planet M' = 2M

Radius of earth = R

then , radius of planet R' = R/2

Gravitational constant = G

Then , acceleration due to gravity at earth's surface g = GM/R² &

acceleration due to gravity at planet's surface

g' = GM'/R'² => G (2M)/(R/2)² = 8 GM/R² = 8g