A compact, dense object with a mass of 4.10 kg is attached to a spring and is able to oscillate horizontally with negligible friction. The object is pulled to a distance of 0.200 m from its equilibrium position, held in place with a force of 29.0 N, and then released from rest. It then oscillates in simple harmonic motion. (The object ocillates along the x-axis, where x = 0 is the equilibrium position.) (a) What is the spring constant (in N/m)? 145 N/m (b) What is the frequency of the oscillations (in Hz)? .946 V Hz (c) What is the maximum speed of the object (in m/s)? 1.19 V m/s (d) At what position(s) (in m) on the x-axis does the maximum speed occur? X = + 0 m (e) What is the maximum acceleration of the object? (Enter the magnitude in m/s2.) 7.05 v m/s2 (f) At what position(s) (in m) on the x-axis does the maximum acceleration occur? m (g) What is the total mechanical energy of the oscillating spring-object system (in J)? (h) What is the speed of the object (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 object (in m/s²) when its position is equal to one-third of the maximum displacement from equilibrium? m/s?
A compact, dense object with a mass of 4.10 kg is attached to a spring and is able to oscillate horizontally with negligible friction. The object is pulled to a distance of 0.200 m from its equilibrium position, held in place with a force of 29.0 N, and then released from rest. It then oscillates in simple harmonic motion. (The object ocillates along the x-axis, where x = 0 is the equilibrium position.) (a) What is the spring constant (in N/m)? 145 N/m (b) What is the frequency of the oscillations (in Hz)? .946 V Hz (c) What is the maximum speed of the object (in m/s)? 1.19 V m/s (d) At what position(s) (in m) on the x-axis does the maximum speed occur? X = + 0 m (e) What is the maximum acceleration of the object? (Enter the magnitude in m/s2.) 7.05 v m/s2 (f) At what position(s) (in m) on the x-axis does the maximum acceleration occur? m (g) What is the total mechanical energy of the oscillating spring-object system (in J)? (h) What is the speed of the object (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 object (in m/s²) when its position is equal to one-third of the maximum displacement from equilibrium? m/s?
College Physics
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Author:Raymond A. Serway, Chris Vuille
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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)...
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Transcribed Image Text:A compact, dense object with a mass of 4.10 kg is attached to a spring and is able to oscillate horizontally with negligible friction. The object is pulled to a distance
of 0.200 m from its equilibrium position, held in place with a force of 29.0 N, and then released from rest. It then oscillates in simple harmonic motion. (The object
oscillates along the x-axis, where x = 0 is the equilibrium position.)
(a) What is the spring constant (in N/m)?
145
N/m
(b) What is the frequency of the oscillations (in Hz)?
.946
Hz
(c)
What is the maximum speed of the object (in m/s)?
1.19
m/s
(d) At what position(s) (in m) on the x-axis does the maximum speed occur?
X = ± 0
(e) What is the maximum acceleration of the object? (Enter the magnitude in m/s.)
7.05
m/s?
(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-object system (in J)?
J
(h) What is the speed of the object (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 object (in m/s) when its position is equal to one-third of the maximum displacement from equilibrium?
m/s?
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