AP Free Response Question
2010 Form B - B3
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Two small objects, each with a charge of -4.0 nC, are held together by a 0.020-meter length of insulating string as shown in the diagram above. The objects are initially at rest on a horizontal, nonconducting, frictionless surface. The effect of gravity on each object due to the other is negligible.
(a) Calculate the tension in the string.
(b) Illustrate the electric field by drawing electric field lines for the two objects on the following diagram.
The masses of the objects are m
_{1}
= 0.030 kg and m
_{2}
= 0.060 kg. The string is now cut.
(c) Calculate the magnitude of the initial acceleration of each object.
(d) On the axes below, qualitatively sketch a graph of the acceleration a of the object of mass m
_{2}
versus the distance d between the objects after the string has been cut.
(e) Describe qualitatively what happens to the speeds of the objects as time increases, assuming that the objects remain on the horizontal, nonconducting, frictionless surface.
Topic Formulas
Description
Published Formula
capacitance
Coulomb's Law
electric field
electric potential energy
energy stored in a capacitor
friction
gravitational potential energy
Hooke's Law
Newton's 2nd Law
Newton's Law of Universal Gravitation
parallel-plate capacitor
potential and electric field strength
potential due to a collection of point charges
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