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

Dear student

 

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 %

 

We hope this clarifies your doubt.

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Team

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