Two satellites are in circular orbits around a planet that has radius 9.00 × 106 m. One satellite has mass 68.0 kg, orbital radius 5.00 × 107 m, and orbital speed 4800 m/s. The second satellite has mass 84.0 kg and orbital radius 3.00 × 107 m. What is the orbital speed of this second satellite?

Step 1: Orbital radius of first satellite r = 5.00 x 10 m 1 Orbital radius of second satellite r = 3.00 x 10 m7 2 Mass of first satellite m1= 68.0 kg Mass of second satellite m 284.0 kg Orbital speed of first satellite 1 = 4800 m/s Step 2: To find the orbital speed of second satellite v2 When a satellite is orbiting around a planet it experiences two forces. They are centripetal force and gravitational force. As long as the satellite is in the orbit the two forces are equal. Therefore 2 mv1 GMm 1 r1 = r12 2 v 1 =1GM ---- (1) Step 3: For the second satellite 2 mv2 GMm 2 r2 = r22 v 2 =2GM ---- (2)