Question

What is acceleration due to gravity?Derive an expression for the acceleration due to gravity on the earth. suppose a planet exists whose mass and radius both are half of those of earth. calculate acceleration due to gravity on the surface of the planet. The value of g on the earth is 9.8m/s ​

Answer 1

Explanation:

Given that,

Mass of the earth =M

Radius of the earth = R

We know that,

g=

R

2

GM

Now, mass and radius is double

g

′

=

4R

2

G2M

g

′

=

2R

2

GM

g

′

=

2

1

g

Hence, the acceleration due to gravity on the surface of a planet is

2

1

g