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 69AP
To determine
Greatest possible value for
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An engineer is designing a spring to be placed at the bottom of an elevator shaft. If the elevator cable breaks when the elevator is at a height B above the top of the spring, calculate the value that the spring constant k should have so that passengers undergo an acceleration of no more than 7.0g when brought to rest. Let A be the total mass of the elevator and passengers.
Spring constant k that the spring should have so that passengers undergo an acceleration of no more that 7.0g
a)A 48 g ice cube can slide without friction up and down a 30∘ slope. The ice cube is pressed against a spring at the bottom of the slope, compressing the spring 10 cm. The spring constant is 23 N/m.When the ice cube is released, what total distance will it travel up the slope before reversing direction?
Express your answer with the appropriate units.
b)The ice cube is replaced by a 48 g plastic cube whose coefficient of kinetic friction is 0.20. How far will the plastic cube travel up the slope?
Express your answer with the appropriate units.
A weight stretches one spring 3 in. and a second weight stretches another spring 9 in. If both weights are simultaneously pulled down 1 in. below their respective equilibrium positions and then released, find the first time after t = 0 when their velocities are equal.
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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- When an 80.0-kg man stands on a pogo stick, the spring is compressed 0.120 m. (a) What is the force constant of the spring? (b) Will the spring be compressed more when he hops down the road?arrow_forwardFish are hung on a spring scale to determine their mass. (a) What is the force constant of the spring in such a scale if it the spring stretches 8.00 cm for a 10.0 kg load? (b) What is the mass of a fish that stretches the spring 5.50 cm? (c) How far apart are the half-kilogram marks on the scale?arrow_forwardWhen a 4.25-kg object is placed on top of a vertical spring, the spring compresses a distance of 2.62 cm. What is the force constant of the spring?arrow_forward
- Two blocks are connected by a light string that passes over two frictionless pulleys as in Figure P5.24. The block of mass m2 is attached to a spring of force constant k and m1 m2. If the system is released from rest, and the spring is initially not stretched or compressed, find an expression for the maximum displacement d of m2. Figure P5.24arrow_forwardWhen an 80.0kg man stands on a pogo stick, the spring is compressed 0.120 m. (a) What is the force constant of the spring? (b) Will the spring be compressed more when he hops down the read?arrow_forwardSpring scales are often used in markets for weighing produce and simply consist of a spring connection to a gauge that displays how far the spring has stretched and correlates that to the weight of the produce. (a) What is the spring constant (k) for the spring in the scale if the spring stretches .96 cm for .5 kg of potatoes? Number N/m (b) What is the mass of a collection of potatoes if the spring stretches 2.8 cm? Number kg (c) How many cm apart are the quarter-kilogram marks on the scale? (Note: depending on your random values, this may be a much larger distance then you would expect) Number cmarrow_forward
- You decide to launch a rockof mass m1 using a tube containing a spring of spring constant k. When the spring is at equilibrium, it fills the entire tube. To launch a rock, you push it into the tube, compressing the spring a distance d, at which point a locking mechanism holds the spring(and the rock) in place. When the lockis released, the spring pushes the rock to the end of the tube where it will be launched into the air. The coefficient of kinetic friction between the rock and the inside surface of the tube is given by μk. You setup the launcher at an angle q above the horizontal with the spring end buried such that when the spring is compressed and locked, the rock is at ground level. a)Find the work done on the rock by non-conservative forces as it moves from the point of release to the end of the tube. Express your answer in terms of μk, m1, q, d, and any necessaryconstants. b) Find the velocity of the rockvfas it exits the launch tube in terms of μk, k, m1, q, d, and any…arrow_forwardAn ideal spring obeys Hooke’s law: F = −ikx.A mass of m = 0.8 kg hung vertically fromthis spring stretches the spring 0.13 m.The acceleration of gravity is 9.8 m/s2. Calculate the value of the force constant k. Answer in units of N/m.arrow_forwardAn ideal spring obeys Hooke’s law: F = −bikx.A mass of m = 0.8 kg hung vertically fromthis spring stretches the spring 0.06 m.The acceleration of gravity is 9.8 m/s2.Calculate the value of the force constant kfor the spring.Answer in units of N/marrow_forward
- (a) Two springs in parallel always result in a O floppier (smaller kg) O it depends O stiffer (larger kg) Submit Answer Tries 0/2 (b) Two springs in series always result in a O it depends O stiffer (larger kg) O floppier (smaller kg) Submit Answer Tries 0/2 effective spring constant. effective spring constant.arrow_forwardA 10-kg mass, hung onto a spring causes the spring to stretch 2.0 cm. What is the spring constant?arrow_forwardA block of mass M is attached to lower end of a vertical spring. The spring is hung from the ceiling and has a force constant value k. The block is released from rest with the spring initially un-stretched. What is the velocity of the block at a stretched length x from its initial position? |2M9X-kX² 2M9X+kX2 M M OA. В. kX2 /2gX V M D.arrow_forward
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