Question

If the density of the earth is doubled keeping its radius constant then acceleration due to gravity will be

Answer 1

We know that

g = GM/R^2 = 9.8m/s

where g is acceleration due to gravity, G is gravitational constant, M is mass of the Earth and R is distance between centre of Earth and surface(i.e. radius)

And,

Density = mass / volume

So, mass = volume x density

So if density is doubled, mass is doubled.

If mass is doubled, then new g will be

g(new) = G x 2M /R^2

           = 2g

           = 2 x 9.8

           = 19.6m/s

Ans : 19.6 m/s (or) 2 times gravity of earth

Answer 2

Answer:

We know that

g = GM/R^2 = 9.8m/s

where g is acceleration due to gravity, G is gravitational constant, M is mass of the Earth and R is distance between centre of Earth and surface(i.e. radius)

And,

Density = mass / volume

So, mass = volume x density

So if density is doubled, mass is doubled.

If mass is doubled, then new g will be

g(new) = G x 2M /R^2

           = 2g

           = 2 x 9.8

           = 19.6m/s

Ans : 19.6 m/s (or) 2 times gravity of earth

Read more on Brainly.in - https://brainly.in/question/7549480#readmore: