An airplane flies in a loop (a circular path in a vertical plane) of radius 130 . The pilot's head always points toward the center of the loop. The speed of the airplane is not constant; the airplane goes slowest at the top of the loop and fastest at the bottom.

At the top of the loop, the pilot feels weightless. What is the speed of the airplane at this point?

At the bottom of the loop, the speed of the airplane is 290 . What is the apparent weight of the pilot at this point? His true weight is 780 .