Question

What is the force of gravity between Jupiter and Saturn? The mass of Jupiter is 6.4x10 24kg. The mass of Saturn is 5.7x10 26kg. The distance between Jupiter and Saturn is 6.52x10 11m.

Answer 1

Answer on Question #48929 – Physics – Astronomy | Astrophysics

Question.

What is the force of gravity between Jupiter and Saturn? The mass of Jupiter is 6.4x10 24kg. The mass of Saturn is 5.7x10 26kg. The distance between Jupiter and Saturn is 6.52x10 11m.

Given:

$$M_J = 6.4 \cdot 10^{24} \, kg$$ $$M_S = 5.7 \cdot 10^{26} \, kg$$ $$R = 6.52 \cdot 10^{11} \, m$$

Find:

$$F = ?$$

Solution.

By definition the force of gravity is:

$$F = G \frac{M_J M_S}{R^2},$$

where $G = 6.67 \cdot 10^{-11} \frac{m^3}{kg \cdot s^2}$.

Calculate:

$$F = \frac{6.67 \cdot 10^{-11} \cdot 6.4 \cdot 10^{24} \cdot 5.7 \cdot 10^{26}}{42.51 \cdot 10^{22}} = 5.724 \cdot 10^{17} \, N$$

Answer.

$$F = G \frac{M_J M_S}{R^2} = 5.724 \cdot 10^{17} \, N$$

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