Physics (5th Edition)
5th Edition
ISBN: 9780321976444
Author: James S. Walker
Publisher: PEARSON
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Textbook Question
Chapter 9, Problem 34PCE
Two objects moving with a speed v travel in opposite directions in a straight line. The objects stick together when they collide and move with a speed of v/4 after the collision. (a) What is the ratio of the final Kinetic energy of the system to the initial kinetic energy? (b) What is the ratio of the mass of the more massive object to the mass of the less massive object?
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Sketch the harmonic on graphing paper.
Exercise 1:
(a) Using the explicit formulae derived in the lectures for the (2j+1) × (2j + 1) repre-
sentation matrices Dm'm, (J/h), derive the 3 × 3 matrices corresponding to the case
j = 1.
(b) Verify that they satisfy the so(3) Lie algebra commutation relation:
[D(Î₁/ħ), D(Î₂/h)]m'm₁ = iƊm'm² (Ĵ3/h).
(c) Prove the identity
3
Dm'm,(β) = Σ (D(Ρ)D(Ρ))m'¡m; ·
i=1
Sketch the harmonic.
Chapter 9 Solutions
Physics (5th Edition)
Ch. 9.1 - Enhance Your Understanding (Answers given at the...Ch. 9.2 - Enhance Your Understanding (Answers given at the...Ch. 9.3 - Enhance Your Understanding (Answers given at the...Ch. 9.4 - Enhance Your Understanding (Answers given at the...Ch. 9.5 - Prob. 5EYUCh. 9.6 - Enhance Your Understanding (Answers given at the...Ch. 9.7 - Enhance Your Understanding (Answers given at the...Ch. 9.8 - Prob. 8EYUCh. 9 - If you drop your Keys, their momentum increases as...Ch. 9 - By what factor does an objects kinetic energy...
Ch. 9 - A system of particles is known to have zero...Ch. 9 - A system of particles is known to have zero...Ch. 9 - On a calm day you connect an electric fan to a...Ch. 9 - Crash statistics show that it is safer to be...Ch. 9 - (a) As you approach a stoplight, you apply the...Ch. 9 - An object at rest on a frictionless surface is...Ch. 9 - (a) Can two objects on a horizontal frictionless...Ch. 9 - Two cars collide at an intersection. If the cars...Ch. 9 - At the instant a bullet is fired from a gun, the...Ch. 9 - Prob. 12CQCh. 9 - In the classic movie The Spirit of St. Louis,...Ch. 9 - A tall, slender drinking glass with a thin base is...Ch. 9 - Prob. 15CQCh. 9 - Prob. 16CQCh. 9 - What is the mass of a mallard duck whose speed is...Ch. 9 - (a) What is the magnitude of the momentum of a...Ch. 9 - A 54 kg person walks due north with a speed of 1.2...Ch. 9 - A 26.2-kg dog is running northward at 2.70 m/s,...Ch. 9 - Predict/Calculate Two air-track carts move toward...Ch. 9 - A 0.145-kg baseball is dropped from rest. If the...Ch. 9 - A 285-g ball falls vertically downward, hitting...Ch. 9 - Object 1 has a mass m1 and a velocity...Ch. 9 - Your car rolls slowly in a parking lot and bangs...Ch. 9 - Predict/Explain A net force of 200 N acts on a...Ch. 9 - Predict/Explain Referring to the previous...Ch. 9 - Predict/Explain Two identical cars, each traveling...Ch. 9 - Force A has a magnitude F and acts for the time t...Ch. 9 - Find the magnitude of the impulse delivered to a...Ch. 9 - A 0.45-kg croquet ball is initially at rest on the...Ch. 9 - When spiking a volleyball, a player changes the...Ch. 9 - Force Platform A force platform measures the...Ch. 9 - Air Bag Safety If a driver makes contact with a...Ch. 9 - To make a bounce pass, a player throws a 0.60-kg...Ch. 9 - BIO Concussion Impulse One study suggests that a...Ch. 9 - Predict/Calculate A 0.14-kg baseball moves toward...Ch. 9 - A player bounces a 0.43-kg soccer ball off her...Ch. 9 - Two ice skaters stand at rest in the center of an...Ch. 9 - A 0.042-kg pet lab mouse sits on a 0.35-kg...Ch. 9 - An object initially at rest breaks into two pieces...Ch. 9 - A 92-kg astronaut and a 1200-kg satellite are at...Ch. 9 - The recoil of a shotgun can be significant....Ch. 9 - A plate drops onto a smooth floor and shatters...Ch. 9 - Suppose the car in Example 9-13 has an initial...Ch. 9 - Two 78.5-kg hockey players skating at 4.47 m/s...Ch. 9 - An air-track cart with mass m1 = 0.32 kg and...Ch. 9 - Predict/Calculate A bullet with a mass of 4.0 g...Ch. 9 - BIO Concussion Recoil The human head can be...Ch. 9 - Two objects moving with a speed v travel in...Ch. 9 - In the apple-orange collision in Example 9-16,...Ch. 9 - A732-kg car stopped at an intersection is...Ch. 9 - The collision between a hammer and a nail can be...Ch. 9 - Predict/Calculate A charging bull elephant with a...Ch. 9 - Prob. 39PCECh. 9 - The three air carts shown in Figure 9-28 have...Ch. 9 - An air-track cart with mass m =0.25 kg and speed...Ch. 9 - Predict/Explain A stalactite in a cave has drops...Ch. 9 - Prob. 43PCECh. 9 - Find the x coordinate of the center of mass of the...Ch. 9 - Prob. 45PCECh. 9 - A pencil standing upright on its eraser end falls...Ch. 9 - Prob. 47PCECh. 9 - The location of the center of mass of the...Ch. 9 - The Center of Mass of Sulfur Dioxide Sulfur...Ch. 9 - Prob. 50PCECh. 9 - A 0 726-kg rope 2 00 meters long lies on a floor...Ch. 9 - Prob. 52PCECh. 9 - Prob. 53PCECh. 9 - Helicopter Thrust During a rescue operation, a...Ch. 9 - Rocks for a Rocket Engine A child sits in a wagon...Ch. 9 - A 57.8-kg person holding two 0.880-kg bricks...Ch. 9 - A fire hose can expel water at a rate of 9.5 kg/s...Ch. 9 - A 0 540-kg bucket rests on a scale Into this...Ch. 9 - Predict/Calculate Holding a long rope by its upper...Ch. 9 - CE Object A has a mass m, object B has a mass 2m,...Ch. 9 - CE Object A has a mass m, object B has a mass 4m,...Ch. 9 - CE A juggler performs a series of tricks with...Ch. 9 - A golfer attempts a birdie putt, sending the 0...Ch. 9 - Predict/Calculate Two trucks drive directly away...Ch. 9 - Prob. 65GPCh. 9 - A 1 35-kg block of wood sits at the edge of a...Ch. 9 - In a stunt, three people jump off a platform and...Ch. 9 - Predict/Calculate The carton of eggs shown in...Ch. 9 - The Force of a Storm During a severe storm in Palm...Ch. 9 - An experiment is performed in which two air carts...Ch. 9 - Figure 9-40 shows position-versus-time data from...Ch. 9 - To balance a 35.5-kg automobile tire and wheel, a...Ch. 9 - A hoop of mass M and radius R rests on a smooth,...Ch. 9 - Predict/Calculate A 63-kg canoeist stands in the...Ch. 9 - Prob. 75GPCh. 9 - A young hockey player stands at rest on the ice...Ch. 9 - Prob. 77GPCh. 9 - A 0.454-kg block is attached to a horizontal...Ch. 9 - BIO Escaping Octopus The giant Pacific octopus...Ch. 9 - Prob. 80GPCh. 9 - The three air carts shown in Figure 9-44 have...Ch. 9 - Unlimited Overhang Four identical textbooks, each...Ch. 9 - Consider a one-dimensional. head-on elastic...Ch. 9 - Two air carts of mass m1 = 0.84 kg and m2 = 0.42...Ch. 9 - Golden Earrings and the Golden Ratio A popular...Ch. 9 - Amplified Rebound Height Two small rubber balls...Ch. 9 - Predict/Calculate Weighing a Block on an Incline A...Ch. 9 - Predict/Calculate A uniform rope of length L and...Ch. 9 - Prob. 89PPCh. 9 - Prob. 90PPCh. 9 - Prob. 91PPCh. 9 - Prob. 92PPCh. 9 - Referring to Example 9-12 Suppose a bullet of mass...Ch. 9 - Referring to Example 9-12 A bullet with a mass m =...Ch. 9 - Referring to Example 9-19 Suppose that cart 1 has...Ch. 9 - Referring to Example 9-19 Suppose the two carts...
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