Whiteboard Problems: MOMENTUM 1. (a) Two objects, A & B, have identical velocities Object A has 3 times the mass of object B. Represent the momenta of the two objects on a velocity-mass bar graph. (b) Two other objects, C and D, have identical masses. Object C has twice thevelocity of object D. Represent the momenta of the two objects on a velocity-mass bar graph. (c) Represent the momentum of each of the car, airplane and barge on a velocity-mass bar graph. i. A 1000kg car travels to the right at 22m/s. ii. A 10,000kg airplane has an instantaneous velocity of 2.0m/s while accelerating to the left at 25.0m/s. iii. A tugboat exerts a 20,000N force on a huge barge with a mass of 30,000kg. Due to friction from the water, they both move to the left with a constant speed of 0.32m/s.4. In a freight yard 3 train is being put together from freight cars. An empty freight car, coasting at 10 m/s, strikes a loaded car that is stationary, and the cars couple together. Each of the cars has a mass of 3000 kg when empty, and the loaded car contains 12,000 kg of canned soda (a year's supply for the Physics class). (a)Draw a before and after velocity-mass bar graph for this situation, and determine any unknown variables. Before After (b) Which freight car had the greater change in velocity? Explain why your answer makes sense by referring to laws of physics. (0) Which freight car had the greater change in momentum? Explain why your answer makes sense by referring to laws of physics. 3. Two girls are at rest on frictionless in-line skates. The younger one has a massof 50.0 kg and the older one has a mass of 70.0 kg. The older girl pushes the younger girl so that the latter rolls away at a speed of 10.0 m/s. (a)Draw a before and after velocity-mass bar graph for this situation, and determine any unknown variables. Before After (b) Which girl had the greater change in velocity? Explain why your answer makes sense by referring to laws of physics. ((11) Which girl had the greater change in momentum? Explain why your answer makes sense by referring to laws of physics. 2. Represent the momentum of the following objects using a velocity-mass bar graph. Then determine the total momentum. (a) (b) 4. . Dog (C) 3W5 -" 2.5kg 00g