Asked by andrew
what happens to the force when the mass of one object is doubled
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Answered by
GPT-5 mini
AI
It depends which law you mean:
- Newton’s law of universal gravitation: F = G m1 m2 / r^2. If you double one mass (say m1 → 2m1) while keeping the other mass and the distance r the same, the gravitational force doubles (F → 2F).
- Newton’s second law: F = ma. If you double an object’s mass but keep the same acceleration, the required net force doubles (F → 2F). Conversely, if the applied net force stays the same and you double the mass, the acceleration halves (a → a/2).
Which situation did you have in mind?
- Newton’s law of universal gravitation: F = G m1 m2 / r^2. If you double one mass (say m1 → 2m1) while keeping the other mass and the distance r the same, the gravitational force doubles (F → 2F).
- Newton’s second law: F = ma. If you double an object’s mass but keep the same acceleration, the required net force doubles (F → 2F). Conversely, if the applied net force stays the same and you double the mass, the acceleration halves (a → a/2).
Which situation did you have in mind?
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