Question

what would be the value g on the earth if itscmass was twice as large as its redius half of what it is now​

Answer 1

Answer:

As we Know the formula :

g= GM/R²----------------(1)

where g is acceleration due to gravity

M is mass of the earth

R is radius of earth

G is universal gravitational constant.

If mass is twice =2M

RADIUS is half= R/2

let g1 be the new gravity .

Substituting in formula (1) we get.

g1= Gx2M/(R/2)²

g1=8 (GM/R²)

g1= 8xg

So the new gravity would be 8 times of original value that is 9.8 m/s².

Hence g1=78.4m/s²

Answer 2

The gravitational force acting will become 8 times of original, hence, gravity will also become 8 times, i.e., 78.4 m/s^2.