Essential University Physics
4th Edition
ISBN: 9780134988559
Author: Wolfson, Richard
Publisher: Pearson Education,
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Textbook Question
Chapter 13, Problem 43P
A mass m slides along a frictionless horizontal surface at speed v0. It strikes a spring of constant k attached to a rigid wall, as shown in Fig. 13.28. After an elastic encounter with the spring, the mass heads back in the direction it came from. In terms of k, m, and v0, determine (a) how long the mass is in contact with the spring and (b) the spring’s maximum compression.
FIGURE 13.28 Problem 43
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
Block A in Fig. has mass 1.00 kg, and block B has mass 3.00 kg. The blocks are forced together, compressing a spring S between them; then the system is released from rest on a level, frictionless surface. The spring, which has negligible mass, is not fastened to either block and drops to the surface after it has expanded. Block B acquires a speed of 1.20 m/s. (a) What is the final speed of block A? (b) How much potential energy was stored in the compressed spring?
When a 3.0-kg block is pushed against a massless spring of force constant constant 4.5 × 103 N/m, the spring is compressed 8.0 cm. The block is released, and it slides 2.0 m (from the point at which it is released) across a horizontal surface before friction stops it. What is the coefficient of kinetic friction between the block and the surface?
A block of mass m=2.95 kg slides along a horizontal table with speed v0=6.00
m/s. At x=0, it hits a spring with spring constant k-92.00 N/m, and it also begins
to experience a friction force. The coefficient of friction is given by p=0.300. How
far has the spring compressed by the time the block first momentarily comes to
rest?
Chapter 13 Solutions
Essential University Physics
Ch. 13.1 - A typical human heart rate is about 65 beats per...Ch. 13.2 - Two identical mass-spring systems are displaced...Ch. 13.3 - What happens to the period of a pendulum if (l)...Ch. 13.4 - Figure 13.18 shows the paths traced in the...Ch. 13.5 - Two different mass-spring systems are oscillating...Ch. 13.6 - The figure shows displacement-versus-time graphs...Ch. 13.7 - The photo shows a wineglass shattering in response...Ch. 13 - The vibration frequencies of molecules are much...Ch. 13 - What happens to the frequency of a simple harmonic...Ch. 13 - How does the frequency of a simple harmonic...
Ch. 13 - How would the frequency of a horizontal massspring...Ch. 13 - When in its cycle is the acceleration of an...Ch. 13 - One pendulum consists of a solid rod of mass m and...Ch. 13 - Why is critical damping desirable in a cars...Ch. 13 - Explain why the frequency of a damped system is...Ch. 13 - Opera singers have been known to break glasses...Ch. 13 - What will happen to the period of a massspring...Ch. 13 - Prob. 11ECh. 13 - A violin string playing the note A oscillates at...Ch. 13 - The vibration frequency of a hydrogen chloride...Ch. 13 - The top of a skyscraper sways back and forth,...Ch. 13 - A hummingbirds wings vibrate at about 45 Hz. Whats...Ch. 13 - A 200-g mass is attached to a spring of constant k...Ch. 13 - An automobile suspension has an effective spring...Ch. 13 - A 342-g mass is attached to a spring and undergoes...Ch. 13 - A particle undergoes simple harmonic motion with...Ch. 13 - How long should you make a simple pendulum so its...Ch. 13 - At the heart of a grandfather clock is a simple...Ch. 13 - A 622-g basketball with 24.0-cm diameter is...Ch. 13 - A meter stick is suspended from one end and set...Ch. 13 - A wheel rotates at 600 rpm. Viewed from the edge,...Ch. 13 - The x- and y-components of an objects motion are...Ch. 13 - A 450-g mass on a spring is oscillating at 1.2 Hz....Ch. 13 - A torsional oscillator of rotational inertia 1.6...Ch. 13 - Prob. 28ECh. 13 - The vibration of a piano string can be described...Ch. 13 - A massspring system has b/m = 0/5, where b is the...Ch. 13 - A cars front suspension has a natural frequency of...Ch. 13 - Prob. 32ECh. 13 - Prob. 33ECh. 13 - Prob. 34ECh. 13 - Example 13.2: Repeal the preceding problem, now...Ch. 13 - Example 13.5: A mass–spring system is oscillating...Ch. 13 - Prob. 37ECh. 13 - Example 13.5: A sample pendulum is swinging with...Ch. 13 - Example 13.5: A simple pendulum of muss m is...Ch. 13 - A simple model for carbon dioxide consists of...Ch. 13 - Prob. 41PCh. 13 - The human eye and muscles that hold it can be...Ch. 13 - A mass m slides along a frictionless horizontal...Ch. 13 - Prob. 44PCh. 13 - A physics student, bored by a lecture on simple...Ch. 13 - A pendulum of length L is mounted in a rocket....Ch. 13 - The protein dynein powers the flagella that propel...Ch. 13 - A mass is attached to a vertical spring, which...Ch. 13 - Derive the period of a simple pendulum by...Ch. 13 - A solid disk of radius R is suspended from a...Ch. 13 - A thin steel beam is suspended from a crane and is...Ch. 13 - A cyclist turns her bicycle upside down to repair...Ch. 13 - An object undergoes simple harmonic motion in two...Ch. 13 - The muscles that drive insect wings minimize the...Ch. 13 - Prob. 55PCh. 13 - If Jane and Tarzan are initially 8.0 m apart in...Ch. 13 - A small mass measuring device (SMMD) used for...Ch. 13 - A thin, uniform hoop of mass M and radius R is...Ch. 13 - A mass m is mounted between two springs with...Ch. 13 - Prob. 60PCh. 13 - Show that the potential energy of a simple...Ch. 13 - The total energy of a massspring system is the sum...Ch. 13 - A solid cylinder of mass M and radius R is mounted...Ch. 13 - A mass m is free to slide on a frictionless track...Ch. 13 - A 250-g mass is mounted on a spring of constant k...Ch. 13 - A harmonic oscillator is underdamped if the...Ch. 13 - A massless spring with k = 74 N/m hangs from the...Ch. 13 - A meter stick is suspended from a frictionless rod...Ch. 13 - A particle of mass m has potential energy given by...Ch. 13 - Two balls with the same unknown mass m are mounted...Ch. 13 - Two mass-spring systems with the same mass are...Ch. 13 - Two mass-spring systems have the same mass and the...Ch. 13 - Prob. 73PCh. 13 - A 500-g block on a frictionless, horizontal...Ch. 13 - Repeat Problem 64 for a small solid ball of mass M...Ch. 13 - A disk of radius R is suspended from a pivot...Ch. 13 - Youre a structural engineer working on a design...Ch. 13 - Show that x(t) = a cos t bsin t represents simple...Ch. 13 - Youre working for the summer with an ornithologist...Ch. 13 - While waiting for your plane to take off, you...Ch. 13 - Youre working for a playground equipment company,...Ch. 13 - The pendulum in an antique clock consists of a...Ch. 13 - This problem explores the nonlinear pendulum...Ch. 13 - Physicians and physiologists are interested in the...Ch. 13 - Physicians and physiologists are interested in the...Ch. 13 - Physicians and physiologists are interested in the...Ch. 13 - Physicians and physiologists are interested in the...
Additional Science Textbook Solutions
Find more solutions based on key concepts
Distinguish between microevolution, speciation, and macroevolution.
Campbell Essential Biology (7th Edition)
Name the components (including muscles) of the thoracic cage. List the contents of the thorax.
Human Physiology: An Integrated Approach (8th Edition)
1.1 Write a one-sentence definition for each of the following:
a. chemistry
b. chemical
Chemistry: An Introduction to General, Organic, and Biological Chemistry (13th Edition)
Dr. Ara B. Dopsis and Dr. C. Ellie Gans are performing genetic crosses on daisy plants. They self-fertilize a b...
Genetic Analysis: An Integrated Approach (3rd Edition)
Two culture media were inoculated with four different bacteria. After incubation, the following results were ob...
Microbiology: An Introduction
16. You have six 1.0 k? resistors. How can you connect them to produce a total equivalent resistance of 1.5 k??...
College Physics: A Strategic Approach (3rd Edition)
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.Similar questions
- An 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 of mass m 8.2 kg slides on a rough surface and moves toward a spring with a spring constant k = 1874 N/m, as shown in the figure below. When the block is d = 17.4m away from the spring, it has a velocity of v. At the instant the block momentarily stops, it has compressed the spring by x = 30 cm. If the coefficient of kinetic friction between the block and the surface below is u = 0.37, what is the block's velocity, v =? Provide your answer in units of m/s using one decimal place. Take g = 9.80 m/s². k m d Answer:arrow_forwardWhen a 3.5 kg block is pushed against a massless spring of force constant 4.5 x 103 N/m, the spring is compressed 7.9 cm. The block is released, and it slides 2.8 m (from the point at which it is released) across a horizontal surface before friction stops it. What is the coefficient of kinetic friction between the block and the surface?arrow_forward
- A block of mass ?=3.80 kg slides along a horizontal table with velocity ?0=1.50 m/s. At ?=0, it hits a spring with spring constant ?=41.00 N/m and it also begins to experience a friction force. The coefficient of friction is given by ?=0.400. How far has the spring compressed by the time the block first momentarily comes to rest? Assume the positive direction is to the right.arrow_forwardA block of massm = 8.2 kg slides on a rough surface and moves toward a spring with a spring constant k = 1874N/m, as shown in the figure below. When the block is d = 17.4m away from the spring, it has a velocity of v. At the instant the block momentarily stops, it has compressed the spring by x = 30 cm. If the coefficient of kinetic friction between the block and the surface below is u = 0.37, what is the block's velocity, v =? Provide your answer in units of m/s using one decimal place. Take g = 9.80 m/s². k m d Answer:arrow_forwardA block of mass m=5.5kg slides on a rough surface and moves toward a spring with a spring constant k=1022N/m, as shown in the figure below. When the block is d=27.4m away from the spring, it has a velocity of v=14.8m/s. When the block momentarily stops, it has compressed the spring by x=16cm. What is the coefficient of kinetic friction between the block and the surface below? Provide your answer with two decimal places. Take g=9.80m/s2.arrow_forward
- A block of mass m=3.53 kg is attached to a spring, which is resting on a horizontal frictionless table. The block is pushed into the spring, compressing it by 5.00 cm, and is then released from rest. The spring begins to push the block back toward the equilibrium position at x=0 cm. The graph shows the component of the force (in Newtons) exerted by the spring on the block versus the position of the block (in centimeters) relative to equilibrium. Use the graph to answer the questions. How much work is done by the spring in pushing the block from its initial position at x=−5.00 cm to x=2.20cm?arrow_forwardThe spring of a spring gun has force constant k = 406 N/m and negligible mass. The spring is compressed 7.3 cm, and a ball with mass 25 g is placed in the horizontal barrel against the compressed spring. The spring is then released, and the ball is propelled out the barrel of the gun. The barrel is 7.3 cm long, so the ball leaves the barrel at the same point that it loses contact with the spring. The gun is held so the barrel is horizontal. What is the greatest speed the ball has along the barrel if a constant resisting force of 7.0 N acts on the ball as it moves along the barrel? (Your result must be in units of m/s and include 2 digits after the decimal point. Maximum of 3% of error is accepted in your answer.)arrow_forwardA block of mass m = 2 kg slides on a horizontal rough surface head on into a spring of spring constant k = 469 N/m, as shown in Figure. When the block is x = 1.2 meter away from the spring, it has a velocity v. When the block stops, it has compressed the spring by 6.4 cm. The coefficient of kinetic friction between the block and the surface is 0.15. What is the block's velocity v (in m/s)? Provide your answer with 2 decimal places. Take g = 9.81 m/s² Varrow_forward
- Hello, here is my question A spring with spring constant k = 3.75 N/cm is compressed 7.00 cm. A 1.50 kg mass is placed next to the compressed spring. When the spring is released, this mass moves without friction and collides with a stationary mass of 2.00 kg. The two masses stick together and move without friction up a slope angled at 20.0 degrees. (a) (10 points) How far along the slope does the two-mass system travel? (b) (5 points) If it takes 5.00*10-3 seconds from the initial impact for the two masses to stick together, what is the magnitude of the average contact force between the two blocks? (c) (5 points) The two-mass system will slide back down the slope and compress the spring. What is the spring’s maximum compression? Thank you!arrow_forwardm A shown in the picture, a 238 g mass slides down a curved incline then collides with a spring. The spring constant of the spring is 106 N/m. Assume that friction is negligble in these problems. (A) If the mass starts from rest at a height of 1.97 cm, what is the final compression of the spring when the mass comes to rest? Assume the spring is initially uncompressed. 2.95 cm (B) If the mass initially compresses the spring 1.14 cm, what is the maximum height the mass rises to on the incline? Assume the mass is released from rest. (C) If the mass is released from rest at a height of 1.97 cm, what is the compression of the spring when the mass has a speed of 45.4 cm/s?arrow_forwardA 2.50 kg block on a horizontal floor is attached to a horizontal spring that is initially compressed 0.0300 m. The spring has force constant 840 N/m. The coefficient of kinetic friction between the floor and the block is .40. The block and spring are released from rest and the block slides along the floor. What is the speed of the block when it has moved a distance of .0200 m from its initial position (at this poing the spring is compressed 0.0100m)arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
Classical Dynamics of Particles and SystemsPhysicsISBN:9780534408961Author:Stephen T. Thornton, Jerry B. MarionPublisher:Cengage Learning
Principles of Physics: A Calculus-Based Text
Physics
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Classical Dynamics of Particles and Systems
Physics
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Cengage Learning
Work and Energy - Physics 101 / AP Physics 1 Review with Dianna Cowern; Author: Physics Girl;https://www.youtube.com/watch?v=rKwK06stPS8;License: Standard YouTube License, CC-BY