The magnitude of the force of gravity between two identical objects is given by F0. If the mass of each object is doubled but the distance then is halved, then the new force of gravity between the objects will be ______?
Answer: 16 F0
Explanation
According to the law of universal gravitation:
F ∝ (m1 × m2) / r^2
Initially, F0 ∝ (m × m) / r^2
After doubling the mass and halving the distance:
F_new ∝ (2m × 2m) / (r/2)^2
= 16 × F0
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