Part A: Rank each satellite based on its period. Part B: Rank each satellite bas

Question

Part A:

Rank each satellite based on its period.

Part B:

Rank each satellite based on the net force acting on it.

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. Part A: Rank each satellite based on its period. Part B: Rank each satellite based on the net force acting on it.

Explanation / Answer

To find period, use the equation: 2?r/T=v

ex1: 2?(5000)/T=120 --> multiply both sides by T, then divide by120 to get T. Answer= 261.80
Do the same for the rest and the order should be: 4, 3, 1, 2, 6, 5

To rank according to acceleration use the formula for centripetal acceleration (ac): ac= v^2/r
1: (160)^2/2500= 10.24
2: (80)^2/2500= 2.56
3: (80)^2/10,000= .64
4: (40)^2/10,000= .16
5: (120)^2/5000= 2.88
6: (160)^2/5000= 5.12
So then the acceleration would rank as: 1, 6, 5, 2, 3, 4

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