Six artificial satellites circle a space station at constant speed. The mass m o
ID: 1283349 • 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.
A)
Rank each satellite based on its period.
Rank from largest to smallest. To rank items as equivalent, overlap them.
1) m=800kg; L=10,000m; v=40m/s
2) m=100kg; L=2,500m; v=160m/s
3) m=200kg; L=5,000m; v=160m/s
4) m=200kg; L=5,000m; v= 120m/s
5) m=400kg; L=2,500m; v=80m/s
6) m=300kg; L=10,000; v=80m/s
B)Rank each satellite based on its acceleration.
Rank from largest to smallest. To rank items as equivalent, overlap them.
1) m=100kg, L=2,500m; v=160m/s
2) m=200kg; L=5,000m; v=160m/s
3) m=200kg; L=5,000m; v=120m/s
4) m=400kg; L=2,500m; v=80m/s
5) m=800kg; L=10,000m; v=40m/s
6) m=300kg; L=10,000; v=80m/s
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. A) Rank each satellite based on its period. Rank from largest to smallest. To rank items as equivalent, overlap them. B)Rank each satellite based on its acceleration. Rank from largest to smallest. To rank items as equivalent, overlap them.Explanation / Answer
a) T = 2 x pi x L / v
so Time period will depend on L/v .
greater (L/v) value means bigger time period.
b) a = v^2 /L
larger value of v^2/ L means larger value of a.