Question

If the earth shrinks to half of its present size,what will happen to the value of acceleration due

to gravity?​

Answer 1

Gravitational Constant (G) = 6.67×  

Mass of Earth (M) = 6× kg

Radius of Earth (R) = 6400 km

New Radius (R') = 6400000/2 m = 3200000 m

Now,

When earth shrinks to half its radius then new acceleration due to gravity is

g' = GM/R^'2

Putting the values and solving it. We get,

g' = 39.0820 m/s^2