Question

if the mass of the earth is not change then its radius decreased by 1% then the acceleration due to gravity on the surface of the earth would be​

Answer 1

Answer:

if the mass of the earth is not change then its radius decreased by 1% then the acceleration due to gravity on the surface of the earth would be

Answer 2

Answer:

increase by 2 %

Explanation:

Let the mass and radius of Earth be M and R respectively. Acceleration due to gravity

g=

R

2

GM

Now Radius

R

′

=R−

100

R

=0.99R

So acceleration due to gravity

g

′

=

(0.99)

2

GM

or g

′

=1.02

R

2

GM

Now change in acceleration due to gravity

=g

′

−g

=(1.02−1)

R

2

GM

=(0.02)

R

2

GM

Thus acceleration due to gravity increased by 2%