College Physics
11th Edition
ISBN: 9781305952300
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
expand_more
expand_more
format_list_bulleted
Related questions
Concept explainers
Topic Video
Question
Transcribed Image Text:*L 100%
A webassign.net
A metal cylinder with a mass of 1.50 kg is attached to a spring and is able to oscillate horizontally with negligible friction. The cylinder is pulled to a distance of
0.200 m from its equilibrium position, held in place with a force of 18.0 N, and then released from rest. It then oscillates in simple harmonic motion. (The
cylinder oscillates along the x-axis, where x = 0 is the equilibrium position.)
(a) What is the spring constant (in N/m)?
N/m
(b) What is the frequency of the oscillations (in Hz)?
Hz
(c) What is the maximum speed of the cylinder (in m/s)?
m/s
(d) At what position(s) (in m) on the x-axis does the maximum speed occur?
X = ±
(e) What is the maximum acceleration of the cylinder? (Enter the magnitude in m/s.)
m/s2
(f) At what position(s) (in m) on the x-axis does the maximum acceleration occur?
X = ±
(g) What is the total mechanical energy of the oscillating spring-cylinder system (in J)?
J
(h) What is the speed of the cylinder (in m/s) when its position is equal to one-third of the maximum displacement from equilibrium?
m/s
(i)
What is the magnitude of the acceleration of the cylinder (in m/s) when its position is equal to one-third of the maximum displacement from equilibrium?
m/s?
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by stepSolved in 3 steps with 3 images
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 35.0-g object connected to a spring with a force constant of 45.0 N/m oscillates with an amplitude of 4.00 cm on a frictionless, horizontal surface. (a) Find the total energy of the system. m) (b) Find the speed of the object when its position is 1.30 cm. (Let 0 cm be the position of equilibrium.) m/s (c) Find the kinetic energy when its position is 3.50 cm. m) (d) Find the potential energy when its position is 3.50 cm. m)arrow_forwardA solid iron cube is attached to spring-like device and is able to oscillate horizontally with negligible friction. Each side of the cube is 1.50 cm long. The cube is initially pulled to a point where it stretches the spring-like device by 2.75 cm where it is held at rest with a horizontal force of 1.45 N. What is the frequency at which it oscillates when it is released? (Assume the density of iron is 7.86 g/cm3.)arrow_forwardA metal cylinder with a mass of 1.10 kg is attached to a spring and is able to oscillate horizontally with negligible friction. The cylinder is pulled to a distance of 0.200 m from its equilibrium position, held in place with a force of 18.0 N, and then released from rest. It then oscillates in simple harmonic motion. (The cylinder oscillates along the x-axis, where x = 0 is the equilibrium position.) (a) What is the spring constant (in N/m)? N/m (b) What is the frequency of the oscillations (in Hz)? Hz (c) What is the maximum speed of the cylinder (in m/s)? m/s (d) At what position(s) (in m) on the x-axis does the maximum speed occur? x = t m (e) What is the maximum acceleration of the cylinder? (Enter the magnitude in m/s².) m/s² (f) At what position(s) (in m) on the x-axis does the maximum acceleration occur? X = ± (g) What is the total mechanical energy of the oscillating spring-cylinder system (in J)? J (h) What is the speed of the cylinder (in m/s) when its position is equal to…arrow_forward
- A 0.45 kg block rests on a frictionless horizontal countertop, where it is attached to a massless spring whose k-value equals 19.0 N/m. Let x be the displacement, where x = 0 is the equilibrium position and x > 0 when the spring is stretched. The block is pushed, and the spring compressed, until x₁ = -4.00 cm. It then is released from rest and undergoes simple harmonic motion. (a) What is the block's maximum speed (in m/s) after it is released? m/s (b) How fast is the block moving (in m/s) when the spring is momentarily compressed by 1.70 cm (that is, when x = -1.70 cm)? m/s (c) How fast is the block moving (in m/s) whenever the spring is extended by 1.70 cm (that is, when passing through x = +1.70 cm)? m/s (d) Find the magnitude of the displacement (in cm) at which the block moves with one-half of the maximum speed. |x| = cmarrow_forwardA 5 kg object is attached to a spring and is oscillating on a horizontal surface. When the object has a speed of 5 m/s, the spring is stretched 0.5 m. The spring constant is 400 N/m. Neglect friction. Find the object's speed when the spring is stretched 0.1 m.arrow_forwardA pendulum is formed by pivoting a long thin rodabout a point on the rod. In a series of experiments, the period ismeasured as a function of the distance x between the pivot pointand the rod’s center. (a) If the rod’s length is L = 2.20 m and itsmass is m= 22.1 g, what is the minimum period? (b) If x is cho- sen to minimize the period and then L is increased, does the periodincrease, decrease, or remain the same? (c) If, instead,m is increasedwithout L increasing, doesthe period increase, decrease, or remainthe same?arrow_forward
- A 0.478 kg body undergoes simple harmonic motion of amplitude 8.08 cm and period 0.500 s. (a) What is the magnitude of the maximum force acting on it? (b) If the oscillations are produced by a spring, what is the spring constant?arrow_forwardThe period of oscillation of a spring-and-mass system is 0.570 s and the amplitude is 4.44 cm. What is the magnitude of the acceleration at the point of maximum extension of the spring?arrow_forwardA 0.110 kg body undergoes simple harmonic motion of amplitude 7.19 cm and period 0.500 s. (a) What is the magnitude of the maximum force acting on it? (b) If the oscillations are produced by a spring, what is the spring constant?arrow_forward
- A 0.250-kg glider on a horizontal air track is attached to an ideal spring. When the glider is pulled 0.400 m from its equilibrium position and released from rest, it oscillates with an angular frequency of 11.0 rad/s. (Ignore friction.) (a) Find the force constant of the spring. (b) Find the period of the oscillations. (c) Find the maximum speed of the mass.arrow_forwardA block weighing 14.0 N can slide without friction on an inclined plane at an angle of 40.0 degrees. At one end of the beam is attached a light spring which has a length when not stretched of 0.450 m and a spring constant of 120 N / m. If the block is pulled down a little and then released, calculate the period of oscillation of the block! (in seconds)arrow_forwardA steel ball attached to a spring moves in simple harmonic motion. The amplitude of the ball's motion is 10.5 cm, and the spring constant is 5.00 N/m. When the ball is halfway between its equilibrium position and its maximum displacement from equilibrium, its speed is 18.6 cm/s. (a) What is the mass of the ball (in kg)? kg (b) What is the period of oscillation (in s)? (c) What is the maximum acceleration of the ball? (Enter the magnitude in m/s².) m/s²arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- College PhysicsPhysicsISBN:9781305952300Author:Raymond A. Serway, Chris VuillePublisher:Cengage Learning
University Physics (14th Edition)PhysicsISBN:9780133969290Author:Hugh D. Young, Roger A. FreedmanPublisher:PEARSON
Introduction To Quantum MechanicsPhysicsISBN:9781107189638Author:Griffiths, David J., Schroeter, Darrell F.Publisher:Cambridge University Press 
Physics for Scientists and EngineersPhysicsISBN:9781337553278Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
Lecture- Tutorials for Introductory AstronomyPhysicsISBN:9780321820464Author:Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina BrissendenPublisher:Addison-Wesley
College Physics: A Strategic Approach (4th Editio...PhysicsISBN:9780134609034Author:Randall D. Knight (Professor Emeritus), Brian Jones, Stuart FieldPublisher:PEARSON
College Physics
Physics
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Cengage Learning
University Physics (14th Edition)
Physics
ISBN:9780133969290
Author:Hugh D. Young, Roger A. Freedman
Publisher:PEARSON
Introduction To Quantum Mechanics
Physics
ISBN:9781107189638
Author:Griffiths, David J., Schroeter, Darrell F.
Publisher:Cambridge University Press
Physics for Scientists and Engineers
Physics
ISBN:9781337553278
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Lecture- Tutorials for Introductory Astronomy
Physics
ISBN:9780321820464
Author:Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina Brissenden
Publisher:Addison-Wesley
College Physics: A Strategic Approach (4th Editio...
Physics
ISBN:9780134609034
Author:Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher:PEARSON