Problem C16:
An object of mass m, which is confined to move on the "x-axis", is
subject to a resoring force F. You know that the magnitude of F is
proportional to x^{n3}, where
x is the position on the x-axis. You want to determine the exponent
n_{3}, so you carry out two experiments. You bring the
object out to the position x=d and release it from rest, it returns to the origin (x=0)
where you measure it's speed to be v_{0}. Now you bring the object out to
the position x=n_{1}d and release it from rest. You measure it's speed v
as it passes though the origin at x=0 and obtain v=n_{2}v_{0}.
With this information, determine the exponent n_{3}? Note that
n_{1}, n_{2} and n_{3} are unitless.

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