Recall that
where 
and 
are the initial and final velocities, respecitvely; 
is the acceleration; and 
is the change in position.
So we have
(Normally, this equation has two solutions, but we omit the negative one because the car is moving in one direction.)
They are too weak to have an effect at the temperatures at which most gases exist.
Otal energy= PEmax on the spring = KEmax of the oject
<span>Total Energy= KE+PE at v or x not maximum. </span>
<span>Using the second line </span>
<span>E= 3/4 E + PE </span>
<span>PE = 1/4 E </span>
<span>PEmax =E = 1/2 kA^2 </span>
<span>PE=E/4 = (1/2)kA^2 / 4= kA^2/8
</span>
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