Physics for Scientists and Engineers with Modern, Revised Hybrid (with Enhanced WebAssign Printed Access Card for Physics, Multi-Term Courses)
9th Edition
ISBN: 9781305266292
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Chapter 8, Problem 68AP
A pendulum, comprising a light string of length L and a small sphere, swings in the vertical plane. The string hits a peg located a distance d below the point of suspension (Fig. P8.40). (a) Show that if the sphere is released from a height below that of the peg, it will return to this height after the string strikes the peg. (b) Show that if the pendulum is released from rest at the horizontal position (θ = 90°) and is to swing in a complete circle centered on the peg, the minimum value of d must be 3L/5.
Figure P8.40
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Chapter 8 Solutions
Physics for Scientists and Engineers with Modern, Revised Hybrid (with Enhanced WebAssign Printed Access Card for Physics, Multi-Term Courses)
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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- A small 0.65-kg box is launched from rest by a horizontal spring as shown in Figure P9.50. The block slides on a track down a hill and comes to rest at a distance d from the base of the hill. The coefficient of kinetic friction between the box and the track is 0.35 along the entire track. The spring has a spring constant of 34.5 N/m, and is compressed 30.0 cm with the box attached. The block remains on the track at all times. a. What would you include in the system? Explain your choice. b. Calculate d. c. Compare your answer with your answer to Problem 50 if you did that problem.arrow_forwardAn inclined plane of angle = 20.0 has a spring of force constant k = 500 N/m fastened securely at the bottom so that the spring is parallel to the surface as shown in Figure P6.61. A block of mass m = 2.50 kg is placed on the plane at a distance d = 0.300 m from the spring. From this position, the block is projected downward toward the spring with speed v = 0.750 m/s. By what distance is the spring compressed when the block momentarily comes to rest?arrow_forwardA block is placed on top of a vertical spring, and the spring compresses. Figure P8.24 depicts a moment in time when the spring is compressed by an amount h. a. To calculate the change in the gravitational and elastic potential energies, what must be included in the system? b. Find an expression for the change in the systems potential energy in terms of the parameters shown in Figure P8.24. c. If m = 0.865 kg and k = 125 N/m, find the change in the systems potential energy when the blocks displacement is h = 0.0650 m, relative to its initial position. FIGURE P8.24arrow_forward
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