Question

# THIS IS ALL ONE QUESTION, PLEASE ANSWER ALL PARTS! a)We have a crate of mass 29.6...

a)We have a crate of mass 29.6 kg on an inclined surface, with a coefficient of kinetic friction 0.144. Instead of pushing on the crate, you let it slide down due to gravity. What must the angle of the incline be, in order for the crate to slide with an acceleration of 6.62 m/s^2?

b)Consider a non-rotating space station in the shape of a long thin uniform rod of mass 8.10 x 10^6 kg and length 1116 meters. Rocket motors on both ends of the rod are ignited, applying a constant force of F = 8.37 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 33 seconds before shutting off, then how fast will the station be rotating when the engines stop?

c)This time we have a non-rotating space station in the shape of a long thin uniform rod of mass 8.87 x 10^6 kg and length 581 meters. Small probes of mass 8564 kg are periodically launched in pairs from two points on the rod-shaped part of the station as shown, launching at a speed of 3364 m/s with respect to the launch points, which are each located 162 m from the center of the rod. After 20 pairs of probes have launched, how fast will the station be spinning?

This is all one question !