Question

If the radius of earth decreases by 10 then acceleration due to gravity

Answer 1

So surface acceleration for the new radius will be 1.234 x 9.8 m / s 2 or about 23% higher acceleration. ... Originally Answered: If the radius of the Earth decreases by 10% and the mass remains unchanged, what will happen to the acceleration due to gravity? Increases by factor of. Mass same, inverse square law.

Answer 2

Answer: increases by 21%

Explanation:Let the radius of earth be R.

Then the acceleration due to gravity is g=

R

2

GM

​

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

Hence the new acceleration due to gravity is g

′

=

(0.9R)

2

GM

​

=

0.9

2

g

​

Thus the increase in acceleration due to gravity is g

′

−g=g(

0.9

2

1

​

−1)

Percentage increase=

g

g

′

−g

​

×100=23.45%