A mine car (mass mcar = 444 kg) rolls at a speed of vcar = 0.52 m/s on a horizontal track, as the drawing shows. An mcoal = 141 kg chunk of coal has a speed of vcoal = 0.79 m/s when it leaves the chute. Determine the speed of the car-coal system after the coal has come to rest in the car. (Assume the angle α = 27°.)

m/s