College Physics
College Physics
11th Edition
ISBN: 9781305952300
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
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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. 150 N/m (b) Find the frequency of the oscillations. Enter a number. differs from the correct answer by more than 100%. Hz (c) Find the maximum speed of the object. 1.27 m/s (d) Where does this maximum speed occur? X = + 0 (e) Find the maximum acceleration of the object. m/s? (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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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. 150 N/m (b) Find the frequency of the oscillations. Enter a number. differs from the correct answer by more than 100%. Hz (c) Find the maximum speed of the object. 1.27 m/s (d) Where does this maximum speed occur? X = + 0 (e) Find the maximum acceleration of the object. m/s? (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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