Question

If the radius of the earth shrinks by 2.0%, mass remaining
constant, then how would the value of acceleration due to gravity change?
Guys pls helpp..​

Answer 1

Explanation:

The value of acceleration due to gravity is

The value of acceleration due to gravity isg¹ = GM/R²1 (1 )

The value of acceleration due to gravity isg¹ = GM/R²1 (1 )When radius gets shrink by 2% then, new radius becomes, R² =98% = 0.98, then value of acceleration due to gravity is

g²=G M/R²2 = G M/0.98R¹ (2)

Taking ratio of equations (1) and (2)

g¹/g² = (R²/R¹)² = (0.98R¹/R¹)²=0.9604

g¹/g²= 0.9604g²= 1.04g¹

Hence,

g increases by 4%

Answer 2

Answer:

I hope you got your answer