Two masses 10 cm apart, attract each other with a force,f Newtons. When 5 cm apart, these masses will attract each other with a force (in Newtons) of:
Correct answer: C. 4f
- A. f/2
- B. f/4
- C. 4f
- D. 2f
Explanation
The gravitational force between two masses is given by Newton's law of gravitation, f= GMm/ r 2 Initially, the distance was 10cm so f= GMm/ (10 cm )2 As the separation between them decreased to 5 cm, the new force f' became = GMm/ (5 cm )2 On comparing both the forces, their ratio is equal to, f'/f= 4/1 So the correct option is C.
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