Peter Penguin (12 kg) is standingat the top of an icy hill (H) overlooking an obstacle course. Heslides down the first hill and skids across a rough patch of snowyice(with coefficient of friction=.4 for 5m). After sliding up asecond incline (8 m high) he sails over a gap (10 m) and lands onthe next hill (10 m high). Just as he reaches the base of that hill(with coefficient of friction =.1 for x m), his friend (12 kg)tackles him from above. Together they crash into a snow bank thatacts like a spring (k=360 N/m). The angle of the first snow bankwith the horizontal is 30 degrees.
a) find the minimum height at which the penguin must start tocomplete this course. b) Determine how deeply into the snowbank the pair of penguinssink.
