76.1 kg skier starts from rest and slides down a 32 m frictionless slope that is inclined at an angle of 18 degree to the horizontal. Ignore air resistance. If the slope is not frictionless, so that the skier has a final velocity of 11.8 m/s , calculate the work done by gravity, the work done by the normal force, the work done by friction, the force of friction, the coefficient of kinetic friction.