At a carnival, you can try to ring a bell by striking a target with a 9.64 kg hammer. In response, a 0.407 kg metal piece is sent upward toward the bell, which is 3.73 m above. Suppose that 29.2 percent of the hammer's kinetic energy is used to do the work of sending the metal piece upward. How fast must the hammer be moving when it strikes the target so that the bell just barely rings?