Question

What wouls be the value of gravity on the surface of the earth if its mass was twice as large and its radius half of what it is now?

Answer 1

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

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