What happens to the gravitational force between two objects if the mass of one object is doubled and the distance between them is also doubled?
- A. The force would remain the same
- B. The force would be doubled
- C. The force would be halved ✓
- D. The force would increase by a factor of 4
Correct Answer: C. The force would be halved
Explanation
Gravitational force F = \frac{G m_1 m_2}{r^2}. If m_1 becomes 2m_1 and r becomes 2r, the new force is F' = \frac{G(2m_1)m_2}{(2r)^2} = \frac{2}{4} F = \frac{1}{2} F. Therefore, the force is halved.
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