Physics Advanced 1 Momentum and Collisions Chapter 6 Key Terms Momentum Impulse Law of Conservation of momentum Perfectly inelastic collision Perfectly elastic collision Impulse-Momentum Theorem Essential Question How is momentum conserved in collisions? Unit Objectives 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. Explain the fundamentals of momentum and impulse. Explain how the momentum of an object can be increased or decreased. Explain how objects with greatly different masses can have the same momentum. Solve momentum problems and impulse problems, and stopping distance problems. Explain the relationship between impulse and change in momentum using the impulse-momentum theorem. Solve problems using the impulse-momentum theorem. Explain how impulse is influenced by changes in the acting force and the length of time the force acts. Explain why impulse is so important to safety. Explain the law of conservation of momentum as it relates to a cannon firing a cannonball. Explain the difference between elastic and inelastic collisions. Explain how momentum is conserved in perfectly elastic and perfectly inelastic collision. Solve problems related to elastic and inelastic collisions. Selected Answers to Questions Explain how the momentum of an object can be increased or decreased. Momentum is increased by increases in mass and velocity (or speed) and is decreased by decreases in mass and velocity (or speed). This illustrates a direct relationship between momentum and speed and momentum and mass. Explain how objects with greatly different masses can have the same momentum. Objects with greatly different masses can exhibit the same momentum if the speed of the smaller-massed object increases compared to the speed of the larger-massed object. V = Mv m Explain why when velocity changes, momentum changes. Momentum increases as speed increases, as shown by the equation p = mv. 2. Explain how impulse is influenced by changes in the acting force and the length of time the force acts. First assume that the impulse required to change the momentum of a specific object is the same. Then explore what happens to the amount of acting or impact force as the length of time of impact changes. For example, two eggs are dropped from the same height, one onto a concrete floor and the other onto a thick foam pad. The impulse for each egg is the same, yet the length of time of impact for each differs. One egg breaks and the other does not. o For the egg on the concrete floor, the time of impact is small, so the force of impact is large, which causes the egg to crack. o For the egg on the foam pad, the time of impact is extended, so the force of impact is reduced, which does not cause the egg to break. Explain why an increase in the time in which a forces acts on an object to change its momentum is so important to safety. The increase or extension in the time in which a force acts on an object as the object changes momentum is important to safety because of the reduction of impact force. If the time is long enough, the impact force will be small enough such that damage or injury is minimized or eliminated. Explain the law of conservation of momentum using the example of a cannon firing a cannonball. The momentum of the cannon and cannonball before the firing is zero. Since both objects are at rest, there is no momentum for objects at rest. This means that after the cannon is fired, the momentum of this system (cannon and cannonball) must also equal zero. In order for this to occur, the momentum of the cannonball that was fired must cancel out the momentum of the cannon when it recoils.