Question : Two bodies kept at a certain distance feel a great gravitational force F to each other. If the distance between them is double the former distance, the force will be:
Option 1: 2F
Option 2: 1/2 F
Option 3: 4F
Option 4: 1/4 F
Correct Answer: 1/4 F
Solution : The correct option is 1/4 F .
When two bodies are twice as far apart, the gravitational force that attracts them is reduced to one-fourth of its initial amount. This is because the gravitational pull between two bodies is inversely proportional to their squared distances. As a result, as a body's distance doubles, the force of attraction between them drops by a factor of 1/4, or 25%, of its initial value.
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