If the distance between earth and sun is increased by 2%then find percentage change in gravitational force acting between them
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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%
Read more on Brainly.in - https://brainly.in/question/833426#readmore
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%
Read more on Brainly.in - https://brainly.in/question/833426#readmore
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