The force acting on the satellites is given as:
This comes from the velocity of the satellite, given as:
v = 2πL/T
Fc = mv2/L = m(2πL/t)2/L = (4π2/T2)(mL)
k in the force equation is: k = 4π2/T2
Six artificial satellites complete one circular orbit around a space station in the same amount of time. Each satellite has mass m and radius of orbit L. The satellites fire rockets that provide the force needed to maintain a circular orbit around the space station. The gravitational force is negligible.
Rank the net force acting on each satellite from their rockets. Rank from largest to smallest. To rank items as equivalent, overlap them.
A) m=200 kg and L= 5000m
B) m=400 kg and L=2500m
C) m=100kg and L=2500m
D) m=100kg and L=10000m
E) m=800kg and L=5000m
F) m=300kg and L=7500m
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: Speed & Period concept. You can view video lessons to learn Satellite Motion: Speed & Period. Or if you need more Satellite Motion: Speed & Period practice, you can also practice Satellite Motion: Speed & Period practice problems.
What professor is this problem relevant for?
Based on our data, we think this problem is relevant for Professor Jerousek's class at UCF.