MOMENTUM AND IMPULSE Momentum Momentum is mass in motion. It tells you how difficult it is to stop an object. mass x velocity is its momentum p mv p, momentum (kg m/s) m, mass (kg) v, velocity (m/s) Momentum is a vector, it needs magnitude and direction. It will have the same direction as the object’s velocity. Example Questions: What has more momentum? 1) A large truck moving 20 mph, or a small car moving 20 mph? 2) An Olympic walker or an Olympic runner? Example Question: Calculate the momentum of a 1.5 kg Frisbee traveling through the air at 4 m/s. Calculate the velocity of a 4 kg football with 20 𝑘𝑔 ∙𝑚 of momentum. 𝑠 Impulse Impulse is the change in momentum. In order to change an object’s momentum (velocity, mass or both), you must apply p a force over some time. p Ft J, impulse (kg m/s) F, Force (Newtons, N) t, time (s) mv p m(v f vi ) m(v f vi ) Ft Questions: 1) A .2 kg arrow is shot out of a bow at 80 m/s. a) What is the change in momentum of the arrow? b) How great was the force of the bow string if it was applied for .1 seconds? c) How great was the force of the bow string if it was applied for .05 seconds? Youtube videos: Egg vs Sheet Football 1 Football 2 How are modern cars designed to keep you safer in a collision? Crash 1 Crash 2 https://www.youtube.com/watch?v=Z8Rl0xd6qhs https://www.youtube.com/watch?v=dkMCFcEkQ0w Maybe too much crumple zone… They lived: Subaru they lived commercial Momentum Video http://www.nbclearn.com/science-of-nfl-football Impulse Changes Momentum If the change in momentum occurs over a long time, the force of impact is small. Impulse Changes Momentum If the change in momentum occurs over a short time, the force of impact is large. Impulse Example A 500-kg car traveling at 9.1 m/s strikes a brick wall and comes to a stop in 0.1 s. What is the impulse? What is the change in momentum? What is the amount of force when the car hits the brick wall? Impulse Changes Momentum Increasing Momentum To increase the momentum of an object, apply the greatest force possible for as long as possible. ** A golfer teeing off and a baseball player trying for a home run do both of these things when they swing as hard as possible and follow through with their swing. ** Impulse Changes Momentum If the change in momentum occurs over a long time, the force of impact is small. Impulse Changes Momentum If the change in momentum occurs over a short time, the force of impact is large.