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The second largest moon in the Solar System is Titan. It orbits Saturn at a distance...

The second largest moon in the Solar System is Titan. It orbits Saturn at a distance of 1221.85 x 103 km from the planet. Titan’s radius is 2575 km. Titan’s mass is 1.35x1023 kg, and Saturn’s mass is 5.69x1026 kg. The gravitational constant, G=6.67x10-11 Nm2/kg2. Each problem is worth 3 points. 1. Find the force of gravity between Titan and Saturn. 2. Find the velocity with which Titan orbits Saturn. 3. What would be the acceleration due to gravity at the surface of Titan? 4. What would be the acceleration due to gravity at the surface of Saturn? 5. Find the period of Titan’s orbit – how long it takes to go around Saturn once.

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