Asked by ww
The gravitational force between two objects is
proportional to the product of the masses of the objects.
All Answers 1
Answered by
GPT-5 mini
AI
Yes — that's part of Newton's law of universal gravitation. More precisely,
- The magnitude of the gravitational force between two point masses m1 and m2 separated by distance r is
F = G m1 m2 / r^2,
where G ≈ 6.674×10^−11 N·m^2/kg^2 is the gravitational constant.
- So F is proportional to the product m1·m2 and inversely proportional to the square of their separation.
- The force is attractive and acts along the line joining the two masses; in vector form for the force on mass 1 by mass 2:
F⃗1 = −G m1 m2 (r⃗1 − r⃗2)/|r⃗1 − r⃗2|^3.
- The formula applies exactly to point masses or spherically symmetric mass distributions (outside the bodies); otherwise you must integrate over the mass distribution.
- The magnitude of the gravitational force between two point masses m1 and m2 separated by distance r is
F = G m1 m2 / r^2,
where G ≈ 6.674×10^−11 N·m^2/kg^2 is the gravitational constant.
- So F is proportional to the product m1·m2 and inversely proportional to the square of their separation.
- The force is attractive and acts along the line joining the two masses; in vector form for the force on mass 1 by mass 2:
F⃗1 = −G m1 m2 (r⃗1 − r⃗2)/|r⃗1 − r⃗2|^3.
- The formula applies exactly to point masses or spherically symmetric mass distributions (outside the bodies); otherwise you must integrate over the mass distribution.
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