Six artificial satellites circle a space station at constant speed. The mass m o
ID: 2256063 • Letter: S
Question
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.
Please rank in order from largest to smallest ie:
3rd> 1st> 5th
For full points.
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. Please rank in order from largest to smallest ie: 3rd> 1st> 5th For full points.Explanation / Answer
a = v^2/R
a1 = 40^2/10000 = 0.16 m/s^2
a2 = 80^2/2500 = 2.56 m/s^2
a3 = 120^2/5000 = 2.88 m/s^2
a4 = 160^2/2500 = 10.24 m/s^2
a5 = 160^2/5000 = 5.12 m/s^2
a6 = 80^2/10000 = 0.64 m/s^2
clearly,
a4 > a5 >a3 > a2 > a6 > a1
so,
4th > 5th > 3rd > 2nd > 6th > 1st