(a) Find the force constant of the spring. N/m Enter a number. (b) Find the frequency of the oscillations. Your response differs from the correct answer by more than 1 (c) Find the maximum speed of the object. m/s (d) Where does this maximum speed occur? X = + m

Principles of Physics: A Calculus-Based Text
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Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter12: Oscillatory Motion
Section: Chapter Questions
Problem 18P
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A 3.70-kg object is attached to a spring and placed on frictionless, horizontal surface. A horizontal force of 30.0 N is required to hold
the object at rest when it is pulled 0.200 m from its equilibrium position (the origin of the x axis). The object is now released from rest
from this stretched position, and it subsequently undergoes simple harmonic oscillations.
(a) Find the force constant of the spring.
N/m
Enter a number.
(b) Find the frequency of the oscillations.
Your response differs from the correct answer by more than 10%. Double check your calculations. Hz
(c) Find the maximum speed of the object.
m/s
(d) Where does this maximum speed occur?
X = ±
(e) Find the maximum acceleration of the object.
m/s2
(f) Where does the maximum acceleration occur?
X =
(g) Find the total energy of the oscillating system.
(h) Find the speed of the object when its position is equal to one-third of the maximum value.
m/s
(i) Find the magnitude of the acceleration of the object when its position is equal to one-third of the maximum value.
m/s2
Transcribed Image Text:A 3.70-kg object is attached to a spring and placed on frictionless, horizontal surface. A horizontal force of 30.0 N is required to hold the object at rest when it is pulled 0.200 m from its equilibrium position (the origin of the x axis). The object is now released from rest from this stretched position, and it subsequently undergoes simple harmonic oscillations. (a) Find the force constant of the spring. N/m Enter a number. (b) Find the frequency of the oscillations. Your response differs from the correct answer by more than 10%. Double check your calculations. Hz (c) Find the maximum speed of the object. m/s (d) Where does this maximum speed occur? X = ± (e) Find the maximum acceleration of the object. m/s2 (f) Where does the maximum acceleration occur? X = (g) Find the total energy of the oscillating system. (h) Find the speed of the object when its position is equal to one-third of the maximum value. m/s (i) Find the magnitude of the acceleration of the object when its position is equal to one-third of the maximum value. m/s2
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