Saturn has 82 moons. The masses, velocities, and orbital radii of three of Saturn's moons are...

 

Transcribed Image Text:

Saturn has 82 moons. The masses, velocities, and orbital radii of three of Saturn's moons are shown in the table. Moon Mass (kg) Radius (km) Velocity (km/h) Dione 1.1 X 101 3.8 X 105 3.6 X 10 Ne... Titan 1.3 X 1023 12 x 10" 2.0 x 10 Enceladus 1.1 x 1022 2.4 x 105 4.5 x 10 The velocity of the orbiting moons can be expressed in the equations for orbital velocity (equation 1) and velocity for an object in circular motion (equation 2). (GME) Equation 1: = Equation 2: y= (2) T How does the orbital radius and mass of the moon impact the moon's period? Express the period T in terms of the orbital radius R and mass M first, then compare the periods of all three moons. Saturn has 82 moons. The masses, velocities, and orbital radii of three of Saturn's moons are shown in the table. Moon Mass (kg) Radius (km) Velocity (km/h) Dione 1.1 X 101 3.8 X 105 3.6 X 10 Ne... Titan 1.3 X 1023 12 x 10" 2.0 x 10 Enceladus 1.1 x 1022 2.4 x 105 4.5 x 10 The velocity of the orbiting moons can be expressed in the equations for orbital velocity (equation 1) and velocity for an object in circular motion (equation 2). (GME) Equation 1: = Equation 2: y= (2) T How does the orbital radius and mass of the moon impact the moon's period? Express the period T in terms of the orbital radius R and mass M first, then compare the periods of all three moons.