If the radius of Earth shrinks by 1 5%, mass remaining the same, then how would the value of acceleration - Physics - Gravitation

Question

If the radius of Earth shrinks by 1 5%, mass remaining the same,
then how would the value of acceleration due to gravity change?

Paromita Mukherjee · Answer

Acceleration is, g= GM/R^2Hence decreasing radius on 1 5% will lead
to increasing of gravity on surface--g1/g = R^2/R1^2 = 1/(0 985)^2
= 1 03so, change in acceleration= (g1/g - 1)*100% = (1 03 - 1)*100%
= 3%

If the radius of Earth shrinks by 1.5%, mass remaining the same, then how would the value of acceleration due to gravity change?