The mass of Saturn is 5.69 · 10^26 kg. Calculate the gravitational field that it exerts on its Mimas satellite, knowing that the mean radius of its orbit is 186,000 km. Data: G = 6.67 · 10^-11 N · m2 · kg ^-2.

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Answer:

The gravitational field that Saturn exerts on the satellite, Mimas is approximately 1.097 m/s²

Explanation:

The given mass of Saturn = 5.69 × 10²⁶ kg

The radius of the orbit of the Mimas satellite = 186,000 km

The gravitational constant, G = 6.67 × 10⁻¹¹ N·m²·kg⁻²

From Newton's law of gravitation, we have;

[tex]The \ gravitational \ field =G\times \dfrac{M}{R^{2}} = 6.67 \times 10^{-11} \times \dfrac{5.59 \times 10^{26}}{(186,000,000)^2} \approx 1.097[/tex]

6.67 × 10⁻¹¹ *(5.69 × 10²⁶)/(186,000,000)²

The gravitational field that Saturn exerts on the satellite, Mimas ≈ 1.097 m/s².

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