10-06-MomentumI - Introduction to Linear Momentum 40mi/h...

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1 40mi/h 40mi/h 70mi/h Question 1: Is it easier to stop the car or the fully loaded truck, if they are both moving at 40mi/h? Question 2: Is it easier to stop the truck moving at 40mi/h, or the same truck but moving at 70mi/h? Introduction to Linear Momentum Impulse and Momentum Momentum p m v t F av Impulse = area under the curve Chapter 9 Linear Momentum and Collisions i i v m p f f v m p
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2 Work done by a variable force The work done by a variable force that displaces an object is the area under the graph of the force vs. position. The Impulse-Momentum Theorem • The impulse of a force is the product of the average force F and the time interval t during which the force acts. • The linear momentum p of an object is the product of the object’s mass m and the velocity v. Impulse-Momentum Theorem The impulse of the net force acting on an object equals the change in the linear momentum of the object: Impulse = F t p m v initial final net m m t v v F
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3 Proof of the Impulse-Momentum Theorem From Newton’s second law of motion Multiply both sides by the time interval t: a F m net t m t net a F t i f v v a initial final net m m t v v F The Impulse-Momentum Theorem is just another form of Newton’s 2 nd Law. Impulse t m t i net t v v F f A 0.065-kg tennis ball moving to the right with a speed of 15 m/s is struck by a tennis racket, causing it to move to the left with a speed of 15 m/s. If the ball remains in contact with the racquet for 0.020 s, what are the magnitude and the direction of the average force experienced by the ball? v
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This note was uploaded on 11/06/2010 for the course PHYSICS 1220 taught by Professor Yung during the Fall '09 term at Missouri (Mizzou).

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10-06-MomentumI - Introduction to Linear Momentum 40mi/h...

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