If the distance between sun and earth is increased by 3 times. The attraction between two will decrease in percentage is?
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Dear Student,
◆ Answer -
88.89 %
● Explanation -
Attraction between earth and sun is -
F = GMeMs/r^2
If distance is increased by 3 times,
F' = GMeMs/r'^2
F' = GMeMs/(3r)^2
F' = GMeMs/9r^2
F' = (GMeMs/r^2)/9
F' = F/9
Percent decrease in attractive force is -
% ∆F = (F-F')/F × 100
% ∆F = (F-F/9)/F × 100
% ∆F = (8F/9)/F × 100
% ∆F = 8/9 × 100
% ∆F = 88.89 %
Hence, percent decrease in attractive force is 88.89 %.
Thanks dear. Hope this helps you...
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