College Physics
2nd Edition
ISBN: 9780134601823
Author: ETKINA, Eugenia, Planinšič, G. (gorazd), Van Heuvelen, Alan
Publisher: Pearson,
expand_more
expand_more
format_list_bulleted
Concept explainers
Textbook Question
Chapter 10, Problem 41P
* Trampoline vibration When a 60-kg boy sits at rest on a trampoline. it sags 0.10 m at the center (a) what is the effective spring constant for the trampoline? (b) The trampoline is pulled downward an extra 0.050 m by a strap sewed under the center of the trampoline. When the strap is released. what are the energy and frequency of the boy-trampoline system? What assumptions did you make?
Expert Solution & Answer
Trending nowThis is a popular solution!
Chapter 10 Solutions
College Physics
Ch. 10 - Review Question 10.1 Can we say that the period of...Ch. 10 - Review Question 10.2 The velocity of an object...Ch. 10 - Review Question 10.3
What will happen to the...Ch. 10 - Review Question 10.4 The period of vibration of a...Ch. 10 - Review Question 10.5 Your grandfathers pendulum...Ch. 10 - Why was it important to assume that the springs...Ch. 10 - Review Question 10.7 What features of damped...Ch. 10 - Review Question 10.8 Describe the phenomenon of...Ch. 10 - 1. What are the features that make vibrational...Ch. 10 - 2. What does it mean if the amplitude of an...
Ch. 10 - 3. What does it mean if the period of an object’s...Ch. 10 - 4. What is the period of the kinetic or the...Ch. 10 - 5. A cart undergoing simple harmonic motion has a...Ch. 10 - The period of the object attached to a spring is...Ch. 10 - You have a simple harmonic oscillator. Where is...Ch. 10 - You have a simple harmonic oscillator. Where is...Ch. 10 - Which of the following arguments can be used to...Ch. 10 - 10. (a) Give three common examples of vibrational...Ch. 10 - An object of known mass hangs at the end of a...Ch. 10 - Describe two different ways to estimate the spring...Ch. 10 - You have a small metal ball attached to a 1.0-m...Ch. 10 - 14. A pendulum clock is running too fast. Explain...Ch. 10 - What simplifications were used to derive the...Ch. 10 - A pendulum clock is moved from the Mississippi...Ch. 10 - 17. Oil is often found in a geological structure...Ch. 10 - A pendulum and a block hanging at the end of a...Ch. 10 - Will me frequency of vibration of a swing when you...Ch. 10 - The amplitude of vibration of a swing slowly...Ch. 10 - 23. If you walk with your arms hanging down, they...Ch. 10 - You have a pendulum with a 1-m string. What is the...Ch. 10 - 1. A low-friction cart is placed between two...Ch. 10 - * You have a ball bearing ano a bowl. You let the...Ch. 10 - 3. Draw a sketch of a pendulum indicate the...Ch. 10 - Draw a graph showing the position-versus-time...Ch. 10 - Suppose that at time zero the can attached to the...Ch. 10 - * (a) Sketch a motion diagram and a...Ch. 10 - * Devise a position-versus-time function that...Ch. 10 - * The position of a vibrating object changes as a...Ch. 10 - * The velocity of a vibrating object changes as a...Ch. 10 - 11. * A cart at the end of a spring undergoes...Ch. 10 - 12. ** Refer to the situation in Problem 10.1. (a)...Ch. 10 - You exert a 100-N pull on the end of a spring....Ch. 10 - Metronome You want to make a metronome for music...Ch. 10 - Determine the frequency of vibration of the cart...Ch. 10 - 16. * A spring with a cart at its end vibrates at...Ch. 10 - 17. A cart with mass m vibrating at the end of a...Ch. 10 - 18. * A 300-g apple is placed on a horizontal...Ch. 10 - ** A 2.0-kg cart vibrates at the end of an 18-N/m...Ch. 10 - * What were the main ideas that we used to derive...Ch. 10 - 21. * A spring with a spring constant of 1200 N/m...Ch. 10 - 22. * A person exerts a 15-N force on a cart...Ch. 10 - 23. A spring with spring constant has a 1.4-kg...Ch. 10 - * Proportional reasoning By what factor must we...Ch. 10 - Proportional reasoning By what factor must we...Ch. 10 - 26. Monkey trick at zoo A monkey has a cart with a...Ch. 10 - 27. * A frictionless cart attached to a spring...Ch. 10 - A 2.0-kg cart attached to a spring undergoes...Ch. 10 - 29 * The motion of a cart attached to a horizontal...Ch. 10 - 30. Pendulum clock Shawn wants to build a clock...Ch. 10 - Show that the expression for the frequency of a...Ch. 10 - A pendulum swings with amplitude 0.020 m and...Ch. 10 - 33. * Proportional reasoning You are designing a...Ch. 10 - 34. * Building demolition A 500-kg ball at the end...Ch. 10 - 35. * You have a pendulum with a long string whose...Ch. 10 - * Variations in g The frequency of a person's...Ch. 10 - 37. EST A graph of position versus time for an...Ch. 10 - Determine the period of a 1.3-m-long pendulum on...Ch. 10 - * You have a simple pendulum that consists of a...Ch. 10 - * Equation Jeopardy The following expression...Ch. 10 - 41. * Trampoline vibration When a 60-kg boy sits...Ch. 10 - * Proportional reasoning if you double the...Ch. 10 - 43. * Pendulum on Mars The frequency of a pendulum...Ch. 10 - 44. * bio EST Annoying sound low-frequency...Ch. 10 - 45.** A 1.2-kg block sliding at 6.0 m/s on a...Ch. 10 - 108 kg. The tower sways back and forth at a...Ch. 10 - ** You shoot a 0.050-kg arrow into a 0.50-kg...Ch. 10 - 48. * You have a pendulum whose length is 1.3 m...Ch. 10 - * You hang a 0.10-kg block from a spring, causing...Ch. 10 - 50. * imagine that you have a cart on a spring...Ch. 10 - 51. Describe one situation from everyday life in...Ch. 10 - EST twins on a swing How frequently do you need to...Ch. 10 - 53. (a) Determine the maximum speed of a girl on a...Ch. 10 - Prob. 54PCh. 10 - 55. * Feeling road vibrations in a car if the...Ch. 10 - 57. A spring oscillator and a simple pendulum have...Ch. 10 - * You attach a block (mass m) to a spring (spring...Ch. 10 - * You attach a 1.6-kg object to a spring, pull it...Ch. 10 - 60. * Traveling through Earth A hole is drilled...Ch. 10 - 61. * EST Estimate the effective spring constant...Ch. 10 - *Galileos pendulum The length L of a pendulum is...Ch. 10 - 63. * A 0.5-kg low-friction cart is moving at...Ch. 10 - 103N/m. Determine (a) by how much the ball...Ch. 10 - 67. * A 5.0-g bullet traveling horizontally at an...Ch. 10 - at the start of the swinging. (a) Determine an...Ch. 10 - 70. ** Foucault's pendulum in 1851, the French...Ch. 10 - pushed to the left with initial speed v0....Ch. 10 - Prob. 72RPPCh. 10 - Prob. 73RPPCh. 10 - Prob. 74RPPCh. 10 - Prob. 75RPPCh. 10 - Prob. 76RPPCh. 10 - Prob. 77RPPCh. 10 - BIO Resonance vibration transfer and the ear When...Ch. 10 - BIO Resonance vibration transfer and the ear When...Ch. 10 - BIO Resonance vibration transfer and the ear When...Ch. 10 - BIO Resonance vibration transfer and the ear When...Ch. 10 - BIO Resonance vibration transfer and the ear When...
Additional Science Textbook Solutions
Find more solutions based on key concepts
40.(I) Estimate (a) how long it look King Kong to fall straight down from the top of the Empire State Building ...
Physics: Principles with Applications
A friend says, “It makes no sense that Anna could turn on lights in her hands simultaneously in her frame but t...
Modern Physics
The pV-diagram of the Carnot cycle.
Sears And Zemansky's University Physics With Modern Physics
75. Two separate but similar coils of wire are mounted close to each other, as shown below. The first coil is c...
Conceptual Physical Science (6th Edition)
60. You are 9.0 m from the door of your bus, behind the bus, when it pulls away with an acceleration of 1.0 m/...
Physics for Scientists and Engineers: A Strategic Approach with Modern Physics (4th Edition)
Choose the best answer to each of the following. Explain your reasoning. How many of the planets orbit the Sun ...
Cosmic Perspective Fundamentals
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
- A block on a frictionless, horizontal surface is attached to two springs as shown in Figure P8.28. The block is displaced, compressing one spring and stretching the other. a. Find an expression for the change in the blocksprings systems potential energy in terms of the parameters given in the figure. b. Is it possible to displace the block in such a way that the systems potential energy does not change? FIGURE P8.28arrow_forwardA 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 ( = 90) and is to swing in a complete circle centered on the peg, the minimum value of d must be 3L/5. Figure P8.40arrow_forwardA spring of spring constant k lies along an incline as shown in Figure P8.27. A block of mass m is attached to the spring. The spring compresses, and the block comes to rest as shown. Find an expression for the change in the Earthblockspring systems potential energy in terms of the parameters given in the figure.arrow_forward
- A weight is connected to a spring that is suspended vertically from the ceiling. If the weight is displaced downward from its equilibrium position and released, it will oscillate up and down. (a) If air resistance is neglected, will the total mechanical energy of the system (weight plus Earth plus spring) be conserved? (b) How many forms of potential energy are there for this situation?arrow_forwardA small ball is tied to a string and hung as shown in Figure P8.34. It is released from rest at position 1, and, during the swing, the string meets a fixed peg as shown. Explain why position 2 at which the ball comes momentarily to rest must be at the same height as position 1.arrow_forwardConsider the data for a block of mass m = 0.250 kg given in Table P16.59. Friction is negligible. a. What is the mechanical energy of the blockspring system? b. Write expressions for the kinetic and potential energies as functions of time. c. Plot the kinetic energy, potential energy, and mechanical energy as functions of time on the same set of axes. Problems 5965 are grouped. 59. G Table P16.59 gives the position of a block connected to a horizontal spring at several times. Sketch a motion diagram for the block. Table P16.59arrow_forward
- A 1.50-kg box rests atop a massless vertical spring with k = 4250 N/m that has been compressed by 15.0 cm from its equilibrium position. The box is released and leaves the spring when it reaches its equilibrium position. What is the maximum height the box reaches above its original position?arrow_forwardA horizontal spring attached to a wall has a force constant of k = 850 N/m. A block of mass m = 1.00 kg is attached to the spring and rests on a frictionless, horizontal surface as in Figure P8.35. (a) The block is pulled to a position xi = 6.00 cm from equilibrium and released. Find the elastic potential energy stored in the spring when the block is 6.00 cm from equilibrium and when the block passes through equilibrium. (b) Find the speed of the block as it passes through the equilibrium point. (c) What is the speed of the block when it is at a position xi/2 = 3.00 cm? (d) Why isnt the answer to part (c) half the answer to part (b)? Figure P8.35arrow_forwardHeedless of danger, a child leaps onto a pile of old mattresses to use them as a trampoline. His motion between two particular points is described by the energy conservation equation 12(46.0kg)(2.40m/s)2+(46.0kg)(9.80m/s2)(2.80m+x)=12(1.94104N/m)x2 (a) Solve the equation for x. (b) Compose the statement of a problem, including data, for which this equation gives the solution. (c) Add the two values of x obtained in part (a) and divide by 2. (d) What is the significance of the resulting value in part (c)?arrow_forward
- An inclined plane of angle has a spring of force constant k fastened securely at the bottom so that the spring is parallel to the surface. A block of mass m is placed on the plane at a distance d from the spring. From this position, the block is projected downward toward the spring with speed v as shown in Figure P7.47. By what distance is the spring compressed when the block momentarily comes to rest?arrow_forwardA block of mass 300 g is attached to a spring of spring constant 100 N/m. The other end of the spring is attached to a support while the block rests on a smooth horizontal table and can slide freely without any friction. The block is pushed horizontally till the spring compresses by 12 cm, and then the block is released from rest. (a) How much potential energy was stored in the block-spring support system when the block was just released? (b) Determine the speed of the block when it crosses the point when the spring is neither compressed nor stretched. (c) Determine the speed of the block when it has traveled a distance of 20 cm from where it was released.arrow_forwardA horizontal spring attached to a wall has a force constant of 850 N/m. A block of mass 1.00 kg is attached to the spring and oscillates freely on a horizontal, frictionless surface as in Figure 5.22. The initial goal of this problem is to find the velocity at the equilibrium point after the block is released. (a) What objects constitute the system, and through what forces do they interact? (b) What are the two points of interest? (c) Find the energy stored in the spring when the mass is stretched 6.00 cm from equilibrium and again when the mass passes through equilibrium after being released from rest. (d) Write the conservation of energy equation for this situation and solve it for the speed of the mass as it passes equilibrium. Substitute to obtain a numerical value. (e) What is the speed at the halfway point? Why isnt it half the speed at equilibrium?arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Physics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage LearningPhysics for Scientists and Engineers with Modern ...PhysicsISBN:9781337553292Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningCollege PhysicsPhysicsISBN:9781305952300Author:Raymond A. Serway, Chris VuillePublisher:Cengage Learning
- College PhysicsPhysicsISBN:9781285737027Author:Raymond A. Serway, Chris VuillePublisher:Cengage LearningPrinciples of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningUniversity Physics Volume 1PhysicsISBN:9781938168277Author:William Moebs, Samuel J. Ling, Jeff SannyPublisher:OpenStax - Rice University
Physics for Scientists and Engineers: Foundations...
Physics
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Cengage Learning
Physics for Scientists and Engineers with Modern ...
Physics
ISBN:9781337553292
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
College Physics
Physics
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Cengage Learning
College Physics
Physics
ISBN:9781285737027
Author:Raymond A. Serway, Chris Vuille
Publisher:Cengage Learning
Principles of Physics: A Calculus-Based Text
Physics
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
University Physics Volume 1
Physics
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:OpenStax - Rice University
SIMPLE HARMONIC MOTION (Physics Animation); Author: EarthPen;https://www.youtube.com/watch?v=XjkUcJkGd3Y;License: Standard YouTube License, CC-BY