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MCS,PHD
Argosy University/ Phoniex University/
Nov-2005 - Oct-2011
Professor
Phoniex University
Oct-2001 - Nov-2016
A 3.0 kg object subject to a restoring force F is undergoing simple harmonic motion with a small
amplitude. The potential energy U of the object as a function of distance x from its equilibrium position is shown
above. This particular object has a total energy E: of 0.4 J.
(a) What is the object's potential energy when its displacement is +4 cm from its equilibrium position?
(b) What is the farthest the object moves along the x axis in the positive direction? Explain your reasoning.
(c) Determine the object's kinetic energy when its displacement is – 7 cm.
(d) What is the object's speed at x = 0 ?
(e) Suppose the object undergoes this motion because it is the bob of a simple pendulum as shown above. If the
object breaks loose from the string at the instant the pendulum reaches its lowest point and hits the ground at point P
shown, what is the horizontal distance d that it travels?
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