The accompanying diagram depicts a semicircular channel that…

The accompanying diagram depicts a semicircular channel that has been securely attached, in a horizontal plane, to a table top. A ball enters the channel at ”1” and exits at “2”. Which of the path representations would most nearly correspond to the path of the ball as it exits the channel at 2″ and rolls across the table top.  

A lumberjack is standing on a log floating in a river. The l…

A lumberjack is standing on a log floating in a river. The lumberjack starts from rest, then runs along the log until she comes to the end, when she jumps onto a second log, slows down and eventually stands on the (moving) second log. Each log has a mass of 150.0 kg and the mass of the lumberjack is 75.0 kg. During the jump she travels at 5 m/s relative to the first log. Both logs are at rest when she starts running on the first log. You can ignore friction.   What are the final speeds of the two logs as measured from the shore? Please answer in units of m/s.