A 1.00-kg object is attached to a spring and placed on frictionless, horizontal surface. A horizontal force of 16.0 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. 80 N/m (b) Find the frequency of the oscillations. 1.42 Hz (c) Find the maximum speed of the object. 1.79 m/s (d) Where does this maximum speed occur? x = + m (e) Find the maximum acceleration of the object. |m/s2 (f) Where does the maximum acceleration occur? m (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

A 1.00-kg object is attached to a spring and placed on frictionless, horizontal surface. A horizontal force of 16.0 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. 80 N/m (b) Find the frequency of the oscillations. 1.42 Hz (c) Find the maximum speed of the object. 1.79 m/s (d) Where does this maximum speed occur? x = + m (e) Find the maximum acceleration of the object. |m/s2 (f) Where does the maximum acceleration occur? m (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

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

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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