Name:___________________________________________ Date ______________ Block _______ Notes: Momentum Part A: Watch the video at: http://www.youtube.com/watch?v=hWToJxKYRSc 1. Describe what happened in this video: 2. Even if a train conductor sees a car on the tracks ahead of time, will she be able to stop the train in time to prevent a collision? Why do you think this? Part B: Momentum Main Idea Details The train in the video had ______________________ In order to have momentum, an object must be __________________________ The car in the video had ___________ momentum. An object that is _____________________ has Momentum zero momentum. Momentum is a _________________(vector/scalar) which means that __________________ is important. Main Idea Momentum depends on two factors Details Momentum depends on _____________ and ______________________. 1. mass An object which has more mass has ( more or less ) momentum than a less massive object moving at the same speed. Momentum is ______________________ proportional to mass. An object which is moving faster has ( more or less ) momentum than if it were moving slowly. 2. velocity Momentum is ______________________ proportional to velocity. Could a toy dump truck ever have momentum than a real dump truck? Comparing momentum Part C: Problem Solving With Momentum Use your MCAS Forumla sheet to fill in the table: Symbol for Momentum (Yes, it’s a _____! You can always look it up on the MCAS Formula Sheet if you forget.) Formula for Momentum momentum = mass velocity Page 2 of 7 Sample Problem: Knowns How much momentum does a 1400-kg car moving at 10 m/s have? Formula & Work p=? p = m· v m = 1400 kg p = 1400 · 10 Answer p = 14,000 kg ·m/s v = 10 m/s Problem 1: Knowns Formula & Work Problem 2: Knowns Answer A 75 kg skier has a momentum of 750 kgm/s. What is the skier’s velocity? Formula & Work Problem 3: Knowns How much momentum does a 2 kg ball moving at 5 m/s have? Answer A dog running at 4 m/s has a momentum of 32 kgm/s. What is the dog’s mass? Formula & Work Answer Page 3 of 7 Part D: Exploring Collisions & Explosion with Simulations Open the link http://tinyurl.com/collision-carts Play with the collisions by changing the masses and the velocities of the carts. Choose one of each: ELASTIC COLLISION, INELASTIC COLLISION, EXPLOSION. Fill in the templates with the initial and final conditions ELASTIC COLLISION (collide and bounce) Initial (before collision) Final (after collision) m1 v1 p 1 = m1 v 1 m1 v1 p1 = m1v1 m2 v2 p 2 = m2 v 2 m2 v2 p2 = m2v2 Total p pT = p 1 + p 2 Total p pT = p 1 + p 2 INELASTIC COLLISION (collide and stick) Initial (before collision) m1 v1 p 1 = m1 v 1 m2 v2 p 2 = m2 v 2 Total p Final (after collision) m pT = p 1 + p 2 v Total p p=mv p EXPLOSION (push apart) Initial (before collision) m v Total p p = mv p Final (after collision) m1 v1 p1 = m1v1 m2 v2 p2 = m2v2 Total p pT = p 1 + p 2 What do you notice about the total momentum (p) in every trial (before and after)? Page 4 of 7 Part D: Conservation of momentum Main Idea Details When an object with momentum collides with another object, momentum is transferred. The Law of Conservation of Momentum The momentum that one object loses is ____________ by a second object In any collision or explosion, the total momentum remains the __________. Momentum cannot be created or destroyed. The amount we have is constant. Main Idea Details Elastic Collisions: the objects collide and bounce (energy is also conserved) o During a game of pool, a moving ball transfers momentum to a stationary ball. The stationary ball can be caused to start moving while the moving ball can caused to become stationary. Examples during collisions o In baseball, when the bat hits the ball, the bat’s momentum is transferred to the ball. Inelastic Collisions: the objects collide and stick (energy is not conserved) o Two trains collide, join together, and move on as one o Two cars crash and their bumpers lock o A softball catcher catches a ball in her mitt o A football player tackles another player Page 5 of 7 When an two objects push away from each other (ex: ice skaters facing each other and pushing apart) An object breaks apart into pieces (like a bomb) Momentum is _____________________ in an explosion! If the object is at rest before the explosion, the momentum of the object before the explosion is ________________ and the total (net) Examples during explosions momentum of the pieces after the explosion will be ___________________. In a system of objects, the momentums of the pieces can cancel when the objects are moving in opposite directions. Part E: Changing momentum Main Idea Details Although you could change an object’s momentum by changing either _________________ or __________________, most situations we Changing momentum will deal with involve only changing _________________. To change an object’s velocity, you would need to apply a __________________. Therefore, _______________ change the momentum of an object. Page 6 of 7 To stop an object safely, you want it to stop ________________ (quickly/slowly). When something is stopped slowly, Stopping safely the force is ___________________ (larger/smaller). the stopping time is ___________________ (larger/smaller). Examples: you bend your knees when landing from a jump air bags If an object is stopped __________________ (quickly/slowly), there will be more damage. When something is stopped quickly, Stopping with more damage the force is ___________________ (larger/smaller). the stopping time is ___________________ (larger/smaller). Example: An egg is more likely to break if it lands on a concrete floor than a pillow Main Idea Details When the train hit the car: o the car was initially at rest, so its momentum was ____________________ o the train was moving and had a lot of mass, so it had a Back to the train… _________________ momentum o When the train hit the car, the car started moving The car _______________ momentum The train ___________________ momentum What must have happened to the train’s speed? Page 7 of 7