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.