A4.00-kg object is attached to a spring and placed on frictionless, horizontal surface. a horizontal force of 27.0 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 of the object.
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?
x = ± m
(g) find the total energy of the oscillating system.
j
(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/s^2