Satellite Motion Video Lessons

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# Problem: Six artificial satellites circle a space station at constant speed. The mass m of each satellite, distance L from the space station, and the speed v of each satellite are listed below. The satellites fire rockets that provide the force needed to maintain a circular orbit around the space station. The gravitational force is negligible. 1. m = 200 kg, L = 5000 m, v = 120 m/s 2. m = 800 kg, L = 10,000 m, v = 40m/s 3. m = 400 kg, L = 2500 m, v = 80m/s 4. m = 100 kg, L = 2500 m, V = 160m/s 5. m = 300 kg, L = 10,000 m, V = 80 m/s 6. m = 200 kg, L = 5000 m, V = 160 m/s Part A. Rank each satellite from largest to smallest based on its period. Part B Rank each satellite from largest to smallest based on its acceleration.

###### FREE Expert Solution

In this problem, we're basically determining the periods and accelerations of the satellites.

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###### Problem Details

Six artificial satellites circle a space station at constant speed. The mass m of each satellite, distance L from the space station, and the speed v of each satellite are listed below. The satellites fire rockets that provide the force needed to maintain a circular orbit around the space station. The gravitational force is negligible.

1. m = 200 kg, L = 5000 m, v = 120 m/s

2. m = 800 kg, L = 10,000 m, v = 40m/s

3. m = 400 kg, L = 2500 m, v = 80m/s

4. m = 100 kg, L = 2500 m, V = 160m/s

5. m = 300 kg, L = 10,000 m, V = 80 m/s

6. m = 200 kg, L = 5000 m, V = 160 m/s

Part A. Rank each satellite from largest to smallest based on its period.

Part B Rank each satellite from largest to smallest based on its acceleration.