Question

the radius of planet increases by 10 without change in its mass of planet. Find out percentage change of acceleration due to gravity of the planet

Answer 1

Answer:

Increases by more than 19%

Explanation:

Let the radius of earth be R.

Then the acceleration due to gravity is g = GM

R²

Now the radius becomes 0.9R(10% decrease).

Hence the new acceleration due to gravity is g' = GM

(0.9R)²

= g

0.9²

Thus the increase in acceleration due to gravity g'- g =

g( 1 -1 )

0.9²

Percentage increase= g' - g × 100 = 23.45%

g