AP Free Response Question
2002 B2
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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?
Suppose the object undergoes this motion because it is the bob of a simple pendulum as shown below.
(e) 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?
Topic Formulas
Description
Published Formula
centripetal acceleration
elastic potential energy
Hooke's Law
kinetic energy
period of a simple pendulum
period of a spring
potential energy
power
power
uniform acceleration - displacement and instantaneous velocity
uniform acceleration - instantaneous position
uniform acceleration - instantaneous velocity
work
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