Question

if the radius of earth were decrease by 1% , its mass remaining same . By what percentage will the accerlation due to grabity decreases ?​

Answer 1

Answer:

Explanation:

The force of gravity at the Earth's surface would increase slightly as it is inversely proportional to the square of the distance between two masses. If you decrease that distance to 99%, then everybody's weight (and the acceleration due to gravity) would increase by (approximately) 2.03%.

Answer 2

Answer:

here, we find dg/g

and, dR/R=-1% [because radius of Earth decrease]

so, g=GM/R²

g=GMR-²

where G is constant

M not change

so, dg/g=-2dR/R

dg/g=(-2)(-1)%

dg/g=2%

so, it increases by 2%