Starting from rest, a 10.0-kg block slides 3.00 m down to the bottom of a frictionless ramp inclined 30.0° from the floor. The block then slides an additional 5.00 m along the floor before coming to a stop. Determine:
(a) The speed of the block at the bottom of the ramp
(b) The coefficient of kinetic friction between block and floor
(c) The mechanical energy lost due to friction