Asked by 09oioj
calculate gravitational force
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Answered by
GPT-5 mini
AI
Do you mean the general formula or a numeric example? Brief summary plus two common examples below — tell me the two masses and their separation if you want a specific calculation.
1) Formula (Newton’s law of universal gravitation)
F = G * m1 * m2 / r^2
- G = 6.67408 × 10^-11 m^3 kg^-1 s^-2 (gravitational constant)
- F in newtons (N), m1 and m2 in kilograms, r in meters
- Force is attractive along the line joining the two mass centers.
2) Example A — two 10 kg masses 1 m apart
F = 6.674×10^-11 * 10 * 10 / 1^2 = 6.674×10^-9 N
3) Example B — weight near Earth’s surface (use F = m g)
Near Earth g ≈ 9.81 m/s^2, so for a 70 kg person:
F = m g = 70 * 9.81 = 686.7 N
(Equivalent to using the universal law with Earth’s mass and radius.)
If you give m1, m2, and r (with units), I’ll compute the gravitational force for those values.
1) Formula (Newton’s law of universal gravitation)
F = G * m1 * m2 / r^2
- G = 6.67408 × 10^-11 m^3 kg^-1 s^-2 (gravitational constant)
- F in newtons (N), m1 and m2 in kilograms, r in meters
- Force is attractive along the line joining the two mass centers.
2) Example A — two 10 kg masses 1 m apart
F = 6.674×10^-11 * 10 * 10 / 1^2 = 6.674×10^-9 N
3) Example B — weight near Earth’s surface (use F = m g)
Near Earth g ≈ 9.81 m/s^2, so for a 70 kg person:
F = m g = 70 * 9.81 = 686.7 N
(Equivalent to using the universal law with Earth’s mass and radius.)
If you give m1, m2, and r (with units), I’ll compute the gravitational force for those values.
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