Essential University Physics (3rd Edition)
3rd Edition
ISBN: 9780134202709
Author: Richard Wolfson
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Concept explainers
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 solutionStudents have asked these similar questions
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?
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?
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 (3rd Edition)
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 - Is a vertically bouncing ball an example of...Ch. 13 - The vibration frequencies of molecules are much...Ch. 13 - What happens to the frequency of a simple harmonic...
Ch. 13 - If the spring of a simple harmonic oscillator is...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 - Explain how simple harmonic motion might be used...Ch. 13 - One pendulum consists of a solid rod of mass m and...Ch. 13 - The x- and y-components of motion of a body are...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 - How can a system have more than one resonant...Ch. 13 - Prob. 16ECh. 13 - A violin string playing the note A oscillates at...Ch. 13 - The vibration frequency of a hydrogen chloride...Ch. 13 - Write expressions for the displacement x(t) in...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 - The quartz crystal in a watch executes simple...Ch. 13 - A 342-g mass is attached to a spring and undergoes...Ch. 13 - A particle undergoes simple harmonic motion with...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 - Youre riding in a friends 1400-kg car with bad...Ch. 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 - A simple model for carbon dioxide consists of...Ch. 13 - Two identical massspring systems consist of 430-g...Ch. 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 - A pendulum consists of a 320-g solid ball 15.0 cm...Ch. 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 - The equation for an ellipse is (x2/a2) + (y2/b2) =...Ch. 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 - A 500-g mass is suspended from a thread 45 cm long...Ch. 13 - A 500-g block on a frictionless, horizontal...Ch. 13 - Repeat Problem 64 for a small solid ball of mass M...Ch. 13 - Youre working on the script of a movie whose plot...Ch. 13 - A 1.2-kg block rests on a frictionless surface and...Ch. 13 - A disk of radius R is suspended from a pivot...Ch. 13 - Prob. 79PCh. 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 - Youve inherited your great-grandmothers mantle...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
Write each number in decimal form.
38. 4.05 × 100
Applied Physics (11th Edition)
What class of motion, natural or violent, did Aristotle attribute to motion of the Moon?
Conceptual Physics (12th Edition)
Fiberglass is a popular, economical, and fairly effective building insulation. It consists of fine glass fibers...
Essential University Physics: Volume 1 (3rd Edition)
Q12.28 Airports at high elevations have longer runways for takeoffs and landings than do airports at sea level....
University Physics with Modern Physics (14th Edition)
A plank, fixed to a sled at rest in frame S, is of length L0 and makes an angle of 0 with the xaxis. Later, the...
Modern Physics
Rooms A and B are the same size, and are connected by an open door. Room A, however, is warmer (perhaps because...
An Introduction to Thermal Physics
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 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_forwardThe massless spring of a spring gun has a force constant k = 0.04 N/cm. When the gun is aimed vertically, a 40 g projectile is shot to a height of 5.0 m above the end of the expanded spring. (See below.) How much was the spring compressed initially? (Find d, in meters.)arrow_forwardFrictionless = = 105 N/m attached to its right- 2.0 m and collides with stationary block 2, Block 1 of mass M₁ = 2.0 kg which has a massless spring with spring constant k side slides from rest along a frictionless surface from height h which has a mass M2 = 3M1/2. The entire surface is frictionless. (a) Find the speed of block 1 the instant before colliding with block 2? (b) Find the maximum compression of the spring. (c) Find the speeds of the two blocks after they separate. (d) Block 2 slides on the frictionless surface with the speed calculated in part (c), away from block 1 and falls off the table from a height of 1m above the ground as shown. At the instant block 2 horizontally slides off the table it explodes due to internal forces into two fragments, one fragment consists of 1/3 of the block and lands at the base of the table. How far from the table does the larger fragment travel? Assume the block has uniform density. M2 1 m 1arrow_forward
- Consider the following system: A spring has stiffness 598 N/m and is initially uncompressed. It is oriented vertically and placed on hard surface. A mass of size 2.3 kg is released from rest 9 m above the spring. Calculate the speed of the mass at the moment when the spring is compressed 0.5 m. Use g = 10 m/s2. (Please answer to the fourth decimal place - i.e 14.3225)arrow_forwardA 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_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
- A 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_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_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_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 LearningClassical 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