A student ofmass m standsat one end of a long log of length l and mass M, which is floating on the campuspond at right angles tothe shore. Assume there is no friction between the logand the water.
a) What is the distance of the center of mass of the student-log system from the shore?
b) After thestudent walks toward theshore to the other end of the log, where is the center of mass relative to the shore?
c) How far isthe student fromthe shore?
d) Thestudent jumps off the log with speed v relative to the shore. With what speed and direction does the log move?
e) What isthe speed of the center of mass of the student-log systemafter the student landson the shore and comes to rest? Explain.