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+ : Apr 27, 20Z2 at 5.11 AM Cord Platform Platform

+ : Apr 27, 20Z2 at 5.11 AM Cord Platform Platform

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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5:12 AM Wed Apr 27 * 100% Apr 27, 2UZZ at 5.1TI AM Cord Platform Platform -Cord D Figure 1. Initial State Figure 2. Final State An amusement park ride is designed such that one end of an elastic cord is fixed to a platform that is a distance D above the ground. The other end of the cord is attached to a person of mass M. The cord has an unstretched length of L. To begin the ride, the person jumps up from the platform with an initial speed, vo , as shown in Figure 1. As the person falls, the elastic cord stretches and can be modeled much like a spring of negligible mass. After the cord can no longer be stretched, the person is a distance H above the ground and is no longer in motion, as shown in Figure 2. The reference position for zero gravitational potential energy of the person-cord-Earth system is a distance H above the ground. All frictional forces are considered to be negligible. ? (a) The initial state of the system is shown in Figure 1, and the final state of the system is shown in Figure 2. i. Describe the energy transformations that take place from the initial state to the final state of the system. For each form of energy, identify the object or system that has that form of energy. в I x? X2 5 Ω 10000 W nit ii. Derive an expression for the spring constant of the cord, in terms of D, L, h, vo, m, and physical constants as appropriate. B I U x² X2 5 C Ω 1 0 / 10000 Word Limit 2 (b) Suppose that air resistance cannot be ignored. For the position at which the person has jumped from the platform and the cord reaches its maximum stretch length, how does the stretch length of the cord in the case with air resistance compare with the stretch length in the case in which air resistance is ignored? Briefly state your reasoning. >
Transcribed Image Text:5:12 AM Wed Apr 27 * 100% Apr 27, 2UZZ at 5.1TI AM Cord Platform Platform -Cord D Figure 1. Initial State Figure 2. Final State An amusement park ride is designed such that one end of an elastic cord is fixed to a platform that is a distance D above the ground. The other end of the cord is attached to a person of mass M. The cord has an unstretched length of L. To begin the ride, the person jumps up from the platform with an initial speed, vo , as shown in Figure 1. As the person falls, the elastic cord stretches and can be modeled much like a spring of negligible mass. After the cord can no longer be stretched, the person is a distance H above the ground and is no longer in motion, as shown in Figure 2. The reference position for zero gravitational potential energy of the person-cord-Earth system is a distance H above the ground. All frictional forces are considered to be negligible. ? (a) The initial state of the system is shown in Figure 1, and the final state of the system is shown in Figure 2. i. Describe the energy transformations that take place from the initial state to the final state of the system. For each form of energy, identify the object or system that has that form of energy. в I x? X2 5 Ω 10000 W nit ii. Derive an expression for the spring constant of the cord, in terms of D, L, h, vo, m, and physical constants as appropriate. B I U x² X2 5 C Ω 1 0 / 10000 Word Limit 2 (b) Suppose that air resistance cannot be ignored. For the position at which the person has jumped from the platform and the cord reaches its maximum stretch length, how does the stretch length of the cord in the case with air resistance compare with the stretch length in the case in which air resistance is ignored? Briefly state your reasoning. >
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