Now I can calculate the work (the angle is zero degrees) with a value of 0.11 joules. If I set this equal to the final kinetic energy, I can solve for the final velocity and I get 0.528 m/s. Boom.

Energy is 'lost' or not used effectively when frictional forces occur. For example, when a bike applies its brakes and slows down the kinetic energy of the bike is transformed into heat energy in ...