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Bellringer 9/30 • A skier leaves the horizontal end of a ramp with a velocity of 25.0m/s East and lands 70.0 m from the base of the ramp. How high is the end of the ramp from the ground? Chapter 6: Momentum and Collisions • Momentum – the product of the mass and velocity of an object Linear Momentum (p): p=mv Momentum = mass x velocity SI units: kg●m/s • Vector quantity – direction matches the velocity Momentum Momentum • If both of these objects are moving down the street at the same speed… which has the greater momentum? • What about if the Mack truck is at rest… what object has the greatest momentum? Roll Tide!! Practice Problems • A 2250 kg pick up truck has a velocity of 25 m/s to the east. What is the momentum of the truck? p = 5.6x104 kg●m/s to the east Practice • A 21 kg child on a 5.9 kg bike is riding with a velocity of 4.5 m/s to the northwest. What is the total momentum of the child and the bike together? What is the momentum of the child? What is the momentum of the bike? Impulse-Momentum Theorem • Impulse = product of the force and the time over which the force acts on an object Impulse-Momentum Theoren FΔt= Δp or F Δt= Δp=mvf -mvi Force x time interval = change in momentum Practice • A 1400 kg car moving westward with a velocity of 15m/s collides with a utility pole and is brought to rest in 0.30s. Find the force exerted on the car during the collision. F = 7.0 x 104 N to the east Stopping Distance • Stopping times and distance depend on impulse momentum theorem • Force is reduced when the time interval of impact is increased Stopping Time Ft = Ft Practice • A 2240 kg car traveling west slows down uniformly from 20.0m/s to 5.00m/s. How long does it take the car to decelerate if the force on the car is 8410 N to the east? How far does the car travel during the deceleration? Impulse-Momentum Theorem