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.

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.

Please rank in order from largest to smallest ie:

3rd> 1st> 5th

For full points.

Answer 1

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

Answer 2

1) For uniform circular motion, Centripetal Force is given by either of two equations:

F = mv^2/r
F = w^2rm

m = mass
r = radius
w = "omega" = angular velocity
v = tangential velocity

All of these satellites have the same angular velocity, so you just need to order them by decreasing mL to get the list in order from highest to lowest.

A = 8000000

B = 1000000

C = 1000000

D = 250000

E = 1000000

F = 3000000

4th > 5th > 3rd > 2nd > 6th > 1st

Answer 3

4 > 5 > 3 > 2 >6>1