the radius of earth is reduced by 4% the mass of earth remains unchanged what will be the changes - Physics -

Question

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

Himanshu · Accepted Answer

Himanshu

$v_{e} = \frac{1}{\sqrt{r}} \frac{v_{1}}{v_{2}} = \sqrt{\frac{r_{2}}{r_{1}}} = \sqrt{\frac{0.96 r_{1}}{r_{1}}} = 0.979 v_{2} = \frac{v_{1}}{0.979} = 1.02 v_{1}$

The escape velocity will become 1.02 times the initial escape velocity.

the radius of earth is reduced by 4%.the mass of earth remains unchanged. what will be the changes in escape velocity