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Question

If the gravitational force between two spheres is 400N, and the distance between them is doubled, the force will be ____________
  1. 400N
  2. 200N
  3. 100N

  4. 40N


Solution

The correct option is C 100N
Given, r2=2r1
From Newtons law of Gravitation,
F1=GM1M2(r1)2 and F2=GM1M2(r2)2
​or, F1F2=GM1M2(r1)2×(r2)2GM1M2
or, F1F2=(r2)2(r1)2
or, F1F2=(2r1)2(r1)2
or, F2=F14=4004=100N
 

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