A 50 kg crate slides down a ramp that is inclined by 30 degrees from the horizontal. The acceleration of the crate parallel to the surface of the ramp is 2.0 m/sec^2, and the length of the ramp is 10 m.
a) Determine the kinetic energy accumulated by the crate when it reaches the bottom of the ramp if it started from rest at the top of the incline.
b) Calculate the amount of energy lost by the crate due to friction in its journey down the ramp.
c) Compute the magnitude of the frictional force that acts on the crate as it slides down the ramp and calculate the coefficient of kinetic friction between the ramp and the crate.