A 3.50-kg object is attached to a spring and placed on frictionless, horizontal surface. A horizontal force of 19.0 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 (b) Find the frequency of the oscillations. Hz (c) Find the maximum speed m/s the object. (d) Where does this maximum speed occur? x = + m (e) Find the maximum acceleration of the object. m/s? (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 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.
A 3.50-kg object is attached to a spring and placed on frictionless, horizontal surface. A horizontal force of 19.0 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 (b) Find the frequency of the oscillations. Hz (c) Find the maximum speed m/s the object. (d) Where does this maximum speed occur? x = + m (e) Find the maximum acceleration of the object. m/s? (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 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.
Transcribed Image Text:A 3.50-kg object is attached to a spring and placed on frictionless, horizontal surface. A horizontal force of 19.O 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
(b) Find the frequency of the oscillations.
Hz
(c) Find the maximum speed of the object.
m/s
(d) Where does this maximum speed occur?
(e) Find the maximum acceleration of the object.
m/s2
(f) Where does the maximum acceleration occur?
X = ±
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
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