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Question
How does force between two objects change when the distance between them is reduced to half ?
How does force between two objects change when the distance between them is reduced to half ?
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Solution
Force between two objects of masses M and m separated by a distance r is given by:
F = GMm/r2
Now according to question,
New distance r' = r/2
⇒So new force between them F' = 4GMm/r2 = 4F
The force increases by factor 4.
Force between two objects of masses M and m separated by a distance r is given by:
F = GMm/r2
Now according to question,
New distance r' = r/2
⇒So new force between them F' = 4GMm/r2 = 4F
The force increases by factor 4.
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