Question

A.) Consider a non-rotating space station in the shape of a long thin uniform rod of mass 4.20 x 10^6 kg and length 953 meters. Rocket motors on both ends of the rod are ignited, applying a constant force of F = 4.40 x 10^5 N to each end of the rod as shown in the diagram, causing the station to rotate about its center. If the motors are left running for 1 minutes and 26 seconds before shutting off, then how fast will the station be rotating when the engines stop?

Multiple choice

0.86 rpm

1.51 rpm

2.27 rpm

1.08 rpm

B.) This time we have a non-rotating space station in the shape of a long thin uniform rod of mass 6.23 x 10^6 kg and length 927 meters. Small probes of mass 7442 kg are periodically launched in pairs from two points on the rod-shaped part of the station as shown, launching at a speed of 4134 m/s with respect to the launch points, which are each located 345 m from the center of the rod. After 14 pairs of probes have launched, how fast will the station be spinning?

Multiple choice

3.05 rpm

6.36 rpm

5.09 rpm

8.90 rpm

Answer 1