Physics (5th Edition)
Physics (5th Edition)
5th Edition
ISBN: 9780321976444
Author: James S. Walker
Publisher: PEARSON
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Chapter 9, Problem 85GP

Golden Earrings and the Golden Ratio A popular earring design features a circular piece of gold of diameter D with a circular cutout of diameter d, as shown in Figure 9-46. If this earring is to balance at the point P, show that the diameters must satisfy the condition D = φd, where φ = ( 1 + 5 ) / 2 = 1.61803 is the famous “golden ratio”.

Chapter 9, Problem 85GP, Golden Earrings and the Golden Ratio A popular earring design features a circular piece of gold of

Figure 9-46

Problem 85

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Chapter 9 Solutions

Physics (5th Edition)

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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