Physics for Scientists and Engineers with Modern Physics, Technology Update
9th Edition
ISBN: 9781305401969
Author: SERWAY, Raymond A.; Jewett, John W.
Publisher: Cengage Learning
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Chapter 8, Problem 6CQ
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A bungee jumper plans to bungee jump from a bridge 64.0 m above the ground. He plans to use a uniform elastic cord, tied to a harness around his body, to stop his fall at a point 6.00 m above the water. Model his body as a particle and the cord as having negligible mass and obeying
Hooke's law. In a preliminary test he finds that when hanging at rest from a 5.00 m length of the cord, his body weight stretches it by 1.55 m. He will drop from rest at the point where the top end of a longer section of the cord is attached to the bridge.
(a) What length of cord should he use?
Use subscripts 1 and 2 respectively to represent the 5.00 m test length and the actual jump length. Use Hooke's law F = KAL and the fact that the change in length AL for a given force is proportional the length L (AL = CL), to determine the force constant for the test case and for the
jump case. Use conservation of mechanical energy to determine the length of the rope. m
(b) What maximum acceleration will he…
Chapter 8 Solutions
Physics for Scientists and Engineers with Modern Physics, Technology Update
Ch. 8.1 - Consider a block sliding over a horizontal surface...Ch. 8.2 - A rock of mass m is dropped to the ground from a...Ch. 8.2 - Three identical balls are thrown from the top of a...Ch. 8.3 - You are traveling along a freeway at 65 mi/h. Your...Ch. 8 - Prob. 1OQCh. 8 - Two children stand on a platform at the top of a...Ch. 8 - Prob. 3OQCh. 8 - An athlete jumping vertically on a trampoline...Ch. 8 - Prob. 5OQCh. 8 - In a laboratory model of cars skidding to a stop,...
Ch. 8 - Prob. 7OQCh. 8 - Prob. 8OQCh. 8 - Prob. 9OQCh. 8 - One person drops a ball from the top of a building...Ch. 8 - Prob. 2CQCh. 8 - Prob. 3CQCh. 8 - Prob. 4CQCh. 8 - Prob. 5CQCh. 8 - Prob. 6CQCh. 8 - In the general conservation of energy equation,...Ch. 8 - Prob. 8CQCh. 8 - A block is connected to a spring that is suspended...Ch. 8 - Prob. 10CQCh. 8 - Prob. 1PCh. 8 - Prob. 2PCh. 8 - Prob. 3PCh. 8 - A 20.0-kg cannonball is fired from a cannon with...Ch. 8 - Prob. 5PCh. 8 - A block of mass m = 5.00 kg is released from point...Ch. 8 - Prob. 7PCh. 8 - Prob. 8PCh. 8 - A light, rigid rod is 77.0 cm long. Its top end is...Ch. 8 - At 11:00 a.m, on September 7, 2001, more than one...Ch. 8 - Prob. 11PCh. 8 - Prob. 12PCh. 8 - A sled of mass m is given a kick on a frozen pond....Ch. 8 - A crate of mass 10.0 kg is pulled up a rough...Ch. 8 - Prob. 15PCh. 8 - A 40.0-kg box initially at rest is pushed 5.00 m...Ch. 8 - Prob. 17PCh. 8 - At time ti, the kinetic energy of a particle is...Ch. 8 - Prob. 19PCh. 8 - As shown in Figure P8.10, a green bead of mass 25...Ch. 8 - Prob. 21PCh. 8 - Prob. 22PCh. 8 - Prob. 23PCh. 8 - A 1.50-kg object is held 1.20 m above a relaxed...Ch. 8 - Prob. 25PCh. 8 - An 80.0-kg skydiver jumps out of a balloon at an...Ch. 8 - Prob. 27PCh. 8 - Prob. 28PCh. 8 - Prob. 29PCh. 8 - The electric motor of a model train accelerates...Ch. 8 - Prob. 31PCh. 8 - Prob. 32PCh. 8 - An energy-efficient lightbulb, taking in 28.0 W of...Ch. 8 - Prob. 34PCh. 8 - Prob. 35PCh. 8 - An older-model car accelerates from 0 to speed v...Ch. 8 - Prob. 37PCh. 8 - Prob. 38PCh. 8 - Prob. 39PCh. 8 - Energy is conventionally measured in Calories as...Ch. 8 - A loaded ore car has a mass of 950 kg and rolls on...Ch. 8 - Prob. 42APCh. 8 - Prob. 43APCh. 8 - Prob. 44APCh. 8 - Prob. 45APCh. 8 - Review. As shown in Figure P8.26, a light string...Ch. 8 - Prob. 47APCh. 8 - Why is the following situation impossible? A...Ch. 8 - Prob. 49APCh. 8 - Prob. 50APCh. 8 - Jonathan is riding a bicycle and encounters a hill...Ch. 8 - Jonathan is riding a bicycle and encounters a hill...Ch. 8 - Consider the blockspringsurface system in part (B)...Ch. 8 - As it plows a parking lot, a snowplow pushes an...Ch. 8 - Prob. 55APCh. 8 - Consider the popgun in Example 8.3. Suppose the...Ch. 8 - As the driver steps on the gas pedal, a car of...Ch. 8 - Prob. 58APCh. 8 - A horizontal spring attached to a wall has a force...Ch. 8 - Prob. 60APCh. 8 - Prob. 61APCh. 8 - Prob. 62APCh. 8 - Prob. 63APCh. 8 - Prob. 64APCh. 8 - A block of mass 0.500 kg is pushed against a...Ch. 8 - Prob. 66APCh. 8 - Prob. 67APCh. 8 - A pendulum, comprising a light string of length L...Ch. 8 - Prob. 69APCh. 8 - Review. Why is the following situation impossible?...Ch. 8 - Prob. 71APCh. 8 - Prob. 72APCh. 8 - Prob. 73APCh. 8 - Prob. 74APCh. 8 - Prob. 75APCh. 8 - Prob. 76APCh. 8 - Prob. 77APCh. 8 - Prob. 78APCh. 8 - Prob. 79CPCh. 8 - Starting from rest, a 64.0-kg person bungee jumps...Ch. 8 - Prob. 81CPCh. 8 - Prob. 82CPCh. 8 - Prob. 83CPCh. 8 - A uniform chain of length 8.00 m initially lies...Ch. 8 - Prob. 85CP
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