Question

if the distance between earth and sun is increased by 2% the find percentage change in gravitational force acting b/w them

Answer 1

distance between sun and earth= r
mass of earth= m
mass of sun= M
Force of attraction = F= GmM/r²
r' = r + 0.02r
r'= 102/100r

F'= GmM/r'²

F'/F= GmM/r'² / GmM/r² = (r/r' )²
= 100/102)²
1-F'/F = 1- (100/102)²
decrease in F= 1- 0.96
= 0.039 or 3.96%

Answer 2

The answer is provided in the attachment .