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Announcements. Homework for tomorrow… (Ch. 7, Probs. 3, 5, & 6) Office hours… M 3-4 pm TWR 9-10 am F 1-2 pm Tutorial Learning Center – Houston Hall 113 MWR 8 am-6 pm T 8 am-7 pm F 8 am-5 pm. Chapter 7. Translational Momentum
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Announcements • Homework for tomorrow… (Ch. 7, Probs. 3, 5, & 6) • Office hours… M 3-4 pm TWR 9-10 am F 1-2 pm • Tutorial Learning Center – Houston Hall 113 MWR 8 am-6 pm T 8 am-7 pm F 8 am-5 pm
Chapter 7 Translational Momentum (Momentum and Impulse)
Section 7.2:Translational Momentum of a Particle Translational Momentum • Vector quantity - direction is that of the velocity of the object • Constant momentum straight-line motion • Units?
Quiz Question 1 A ball hits a wall and rebounds with the same speed, as diagrammed below. The changes in the components of the momentum of the ball are: • px> o, py> o • px< o, py> o • px= o, py> o • px= o, py< o • px> o, py< o y x
Newton’s 2nd Law, reformulated Newton’s 2nd Law… Newton’s 2nd Law, reformulated… Both forms are equal for constant mass only
Newton’s 2nd Law • Newton’s 2nd Law.. • Newton’s 2nd Law, averaged..
Reading Exercise 7.2 The figure gives the x-component of translational momentum versus time for a particle moving along an x-axis. A force directed along the axis acts on the particle, causing its momentum to change. • Rank the four regions indicated according to the magnitude of the force, greatest first. • In which region is the particle slowing down?
Example Problem The front 1.20 m of a 1400-kg car is designed as a “crumple zone” that collapses to absorb the shock of a collision. If a car traveling 25.0 m/s stops uniformly in 1.20 m, • how long does the collision last, • what is the magnitude of the average force on the car, and • what is the acceleration of the car? Express the acceleration as a multiple of the acceleration of gravity.
Section 7.3:Isolated System of Particles Translational momentum of a systemis the vector sum of the momenta of the individual particles For a system of particles… where is vector sum of all externalforces acting on the system