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A small steel sphere is oscillating vertically on the end of a spring, as shown in the figure below.
The velocity 
of the sphere varies with displacement 
from its equilibrium position according to
where is in 
and is in 
.
Calculate the frequency of the oscillations.
Show that the amplitude of the oscillations is 
.
Calculate the maximum acceleration 
of the sphere.
Describe, without calculation, the interchange between the potential energy and the kinetic energy of the oscillations.
.
.
