Question

The radius of the earth is reduced by 4% of its initial value.the mass of the earth remains unchanged. What will be the percentage change in the escape velocity?

Answer 1

Answer:

The mass of the earth remains unchanged. The radius of the Earth is reduced by 4% of its initial value. Hence, The percentage of change in the escape velocity is 9%.

Answer 2

Answer:

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Explanation:

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 %