Chapter 7 Skill Building

Hint e1 hint not displayed part e2 part not displayed

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Hint E.1 Hint not displayed Part E.2 Part not displayed Part E.3 Part not displayed Express the net force in terms of , , , and . ANSWER: = When you work on a problem on your own, without the computer-provided feedback, only you can assess whether your answer seems right. The following questions will help you practice the skills necessary for such an assessment. Part F Which of the following are possible units of the quantity ? ANSWER: Part G Two cyclists, A and B, complete a lap on the same track in the same time. However, cyclist A has a greater mass. Intuitively, which cyclist should experience a greater net force at the finish line? ANSWER: A B This follows immediately from your formula for , which is directly proportional to the mass of the bicycle+rider. Part H (13 of 16)4/11/2006 2:52:13 PM
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MasteringPhysics: Assignment Print View Two cyclists, A and B, have the same mass. They complete a lap on the same track as described in the problem introduction. However, cyclist A takes longer to finish. Intuitively, which cyclist should experience a greater net force at the finish line? ANSWER: A B This follows immediately from your formula for , which is inversely proportional to the square of the time required to complete one lap. Part I Two cyclists, A and B, have the same mass. They take the same time to finish a one-lap race. However, cyclist A rides on the outside of the track, at a larger radius than that of B. Intuitively, which cyclist would experience a greater net force at the finish line? ANSWER: A B To travel a longer distance in the same amount of time, cyclist A's tangential speed must be greater. This, in turn, requires that cyclist A have a greater tangential acceleration. The radial acceleration is also greater for cyclist A. The radial acceleration can be written as . But must be the same for each cyclist, since they cover the same angular distance (a complete circle) in the same amount of time. Since is larger for bicyclist A, will be larger as well. At the Test Track You want to test the grip of the tires on your new race car. You decide to take the race car to a small test track to experimentally determine the coefficient of friction. The racetrack consists of a flat, circular road with a radius of 45 . The applet shows the result of driving the car around the track at various speeds. Part A What is , the coefficient of static friction between the tires and the track? Hint A.1 Hint not displayed Part A.2 Part not displayed Part A.3 Part not displayed Express your answer to two significant figures. ANSWER: = 0.950 (14 of 16)4/11/2006 2:52:13 PM
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MasteringPhysics: Assignment Print View Banked Frictionless Curve, and Flat Curve with Friction A car of mass traveling at speed enters a banked turn covered with ice. The road is banked at an angle , and there is no friction between the road and the car's tires. A cross section of the curve is shown in the diagram.
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