In this problem, we're basically determining the periods and accelerations of the satellites.
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.
Frequently Asked Questions
What scientific concept do you need to know in order to solve this problem?
Our tutors have indicated that to solve this problem you will need to apply the Satellite Motion concept. You can view video lessons to learn Satellite Motion. Or if you need more Satellite Motion practice, you can also practice Satellite Motion practice problems.