Question

what happens to the value of acceleration due to gravity on a planet whose mass and radius are 2 times that of the earth? give the answer in terms of G

Answer 1

The acceleration due to gravity on the surface is given as

r

2

Gm

If the mass and the radius are doubled then the acceleration due to gravity will become

4r

2

G2m

Hence the acceleration becomes one half.

Answer 2

Answer is:- One half

Explanation:-

Given that,

Mass of the earth =M

Radius of the earth = R

We know that,

g= R 2GM

Now, mass and radius is double

g = 4R 2

GG2 g ′= 2R 2

GMg ′= 21g

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

21g

Hope it helps you dear......xd