1.

If the radius of a planet shrinks by 2% while its massremaining the unchanged, the acceleration due togravity on the planet's surface would

Answer»

planet surface would increase because

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

The radius of earth decreases by 2 %, therefore

R' = R - 0.02 R = 0.98R.

Now acceleration due to gravity will be :

g' = GM / ( 0.98 R )2 = 1.04 g

Percentage increase in acceleration due to gravity

[(g' - g )/g ] x 100 = 4 %



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