You have been hired as one of the large-scale props designer for the next Star Wars movie. There is one scene where an x-wing fighter plane crashes on the ground and slides up a 5° slope until it grinds to a halt by friction, but then it slides back down. The director does not want to use CGI, because it is not “real”. Your colleague has already built a 200 kg plane model and has designed the launch mechanism to get the plane to travel at 3.0 m/s when it starts from the bottom of the slope. The fighter and the slope are both made of steel, and you add oil to maximize the sliding.
a) How long a slope will you need?
b) What speed will the plane have when it gets back to the bottom of the slope again?
You have been hired as one of the large-scale props designer for the next Star Wars...