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(f) As mentioned in the previous part, the minimum of the
U
curve occurs at
x
= 4.0 m.
(g) The force (understood to be in newtons) follows from the potential energy, using Eq.
820 (and Appendix E if students are unfamiliar with such derivatives).
F
dU
dx
xe
x
==
−
−
4
4
bg
/
(h) This revisits the considerations of parts (d) and (e) (since we are returning to the
minimum of
U
(
x
)) — but now with the advantage of having the analytic result of part (g).
We see that the location which produces
F
= 0 is exactly
x
= 4.0 m.
(c) The problem asks for a graphical determination of the turning points, which are the
points on the curve corresponding to the total energy computed in part (a). The result for
the smallest turning point (determined, to be honest, by more careful means) is
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This note was uploaded on 05/17/2011 for the course PHY 2049 taught by Professor Any during the Spring '08 term at University of Florida.
 Spring '08
 Any
 Physics, Energy, Potential Energy

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