A surfer is catching a wave. Suppose she starts at the top of a wave with a speed of 1.37 m/s and moves down the wave until her speed increases to 9.90 m/s. The drop in her vertical height is 2.64 m. If her mass is 63.3 kg, how much work is done by the (nonconservative) force of the wave?

1 answer

Work done by the wave equals kinetic energy increase minus gravitational potential energy loss.

W = (M/2) (V2^2 - V1^)2 - M*g*deltaH

where deltaH = 1.27 m