Answer Happy

7. This time we have a non-rotating space station in the shape
of a long thin uniform rod of mass 6.43 x 10^6 kg and length 578
meters. Small probes of mass 9665 kg are periodically launched in
pairs from two points on the rod-shaped part of the station as
shown, launching at a speed of 4293 m/s with respect to the launch
points, which are each located 213 m from the center of the rod.
After 20 pairs of probes have launched, how fast will the station
be spinning?
18.86 rpm
7.54 rpm
22.63 rpm
4.52 rpm
launch point launch point axis