if the distance b/W earth and Sun is increased by 2% then find percentage change in gravitational force acting b/W them
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Answer:
3.96%
Explanation:
Distance between Sun and earth = r
Mass of earth = m
Mass of sun. = M
Force of attraction=F=GmM/r^2
r' = r+0.02r
r'=102/100r
f'=GmM/r'^2
f'/F=GmM/r/^2/GmM/r^2=(r/r')
= (100/102)^2
1-f'/F =1-(100/102)^2
Decrease in f= 1-0.96
= 0.039
= 3.96%
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