Question

difine escape velocity of radius of the earth is reduced by 4% the mass of the earth remains unchanged what will be change in escape velocity​

Answer 1

The acceleration due to gravity at the surface of earth is g = G m / R2 .

The radius of eath decreases by 4 %, therefore

R' = R - 0.04 R = 0.96R.

Now acceleration due to gravity will be :

g' = GM / ( 0.96 R )2 = 1.09 g

Percentage increase in acceleration due to gravity

[(g' - g )/g ] x 100 = 9 %