A solid metal block with a mass of 1.30 kg is attached to a spring and is able to oscillate horizontally with negligible friction. The block is pulled to a distance of 0.200 m from its equilibrium position, held in place with a force of 19.0 N, and then released from rest. It then oscillates in simple harmonic motion. (The block 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 block (in m/s)? m/s

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
icon
Related questions
icon
Concept explainers
Topic Video
Question
A solid metal block with a mass of 1.30 kg is attached to a spring and is able to oscillate horizontally with negligible friction. The block is pulled to a distance of
0.200 m from its equilibrium position, held in place with a force of 19.0 N, and then released from rest. It then oscillates in simple harmonic motion. (The block
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 block (in m/s)?
m/s
(d) At what position(s) (in m) on the x-axis does the maximum speed occur?
X = ±
m
(e) What is the maximum acceleration of the block? (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 = +
m
(g) What is the total mechanical energy of the oscillating spring-block system (in J)?
J
(h) What is the speed of the block (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 block (in m/s2) when its position is equal to one-third of the maximum displacement from equilibrium?
m/s²
Transcribed Image Text:A solid metal block with a mass of 1.30 kg is attached to a spring and is able to oscillate horizontally with negligible friction. The block is pulled to a distance of 0.200 m from its equilibrium position, held in place with a force of 19.0 N, and then released from rest. It then oscillates in simple harmonic motion. (The block 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 block (in m/s)? m/s (d) At what position(s) (in m) on the x-axis does the maximum speed occur? X = ± m (e) What is the maximum acceleration of the block? (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 = + m (g) What is the total mechanical energy of the oscillating spring-block system (in J)? J (h) What is the speed of the block (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 block (in m/s2) when its position is equal to one-third of the maximum displacement from equilibrium? m/s²
Expert Solution
steps

Step by step

Solved in 4 steps with 6 images

Blurred answer
Knowledge Booster
Simple Harmonic Motion
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
Recommended textbooks for you
College Physics
College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
University Physics (14th Edition)
University Physics (14th Edition)
Physics
ISBN:
9780133969290
Author:
Hugh D. Young, Roger A. Freedman
Publisher:
PEARSON
Introduction To Quantum Mechanics
Introduction To Quantum Mechanics
Physics
ISBN:
9781107189638
Author:
Griffiths, David J., Schroeter, Darrell F.
Publisher:
Cambridge University Press
Physics for Scientists and Engineers
Physics for Scientists and Engineers
Physics
ISBN:
9781337553278
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
Lecture- Tutorials for Introductory Astronomy
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…
College Physics: A Strategic Approach (4th Editio…
Physics
ISBN:
9780134609034
Author:
Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher:
PEARSON