Physics grade 12U

Practice Problem 1. A pulley device is used to hurl projectiles from a ramp (/4 = 0.26) as illustrated in the diagram. The 5.0-kg mass is accelerated from rest at the bottom of the 4.0 m long ramp by a falling 20.0-kg mass suspended over a frictionless pulley. Just as the 5.0-kg mass reaches the top of the ramp, it detaches from the rope (neglect the mass of the rope) and becomes projected from the ramp. 4.0 m Hx = 0.26 5.0 kg 300 20.0 kg 5.0 m (a) Determine the acceleration of the 5.0-kg mass along the ramp. (Provide free-body diagrams for both masses.) (b) Determine the tension in the rope during the acceleration of the 5.0-kg mass along the ramp. (c) Determine the speed of projection of the 5.0-kg mass from the top of the ramp. (d) Determine the horizontal range of the 5.0-kg mass from the base of the ramp. Answers: a) 6.4 m/s b) 68 N c) 7.2 m/s d) 9.5 m