Problem 4: A block of mass m is initially at rest at the highest point of an inclined plane, which has a height of 6.7 m and has an angle of ̘ = 15° with respect to the horizontal. After being released, it is found to be traveling at v = 0.45 m/s a distance d after the end of the inclined plane as shown. The coefficient of kinetic friction between the block and the plane is μp = 0.1, and the coefficient of friction on the horizontal surface is μr = 0.2.
Part (a) What is the speed of the block, in meters per second, just after it leaves the inclined plane?
Use the work-energy theorem, and be sure to include the dissipative forces. What is the kinetic energy at initial point? What is the potential energy when the block reaches ground level? What sign should the work due to friction have? Does it increase or decrease the final energy?
Part (b) Find the distance, d, in meters.