Measuring the Charge. You and your team are designing an experiment where two spherical insulating beads of diameter 0.45 cm and mass 0.15 g are strung together on a fine thread that passes through microscopic holes drilled through their centers. When hung vertically, the lower bead rests on a knot at the bottom of the thread and the upper bead rests upon the lower bead. When placed inside a vacuum chamber and exposed to X-rays (highly energetic electromagnetic radiation), the beads acquire equal, uniform distributions of positive charge on their surfaces due to the loss of electrons ejected when struck by the X-rays. During this experiment, the beads are hung vertically, and a gap forms between them as if the top bead were levitating above the lower one, presumably due to the repulsive electrostatic force between them. The gap, that is, the vertical separation between the top of the lower bead and the bottom of the upper bead, is 0.27 cm. (a) How much excess charge is on each bead? You can treat the net excess charge on each bead as a point charge located at its center, and may neglect friction between the beads and the thread. (b) Determine the mass in kilograms of a replacement upper bead of the same size and charge as those of the original upper bead that would reduce the gap between the beads to 0.15 cm. (a) Number i (b) Number Units Units
Measuring the Charge. You and your team are designing an experiment where two spherical insulating beads of diameter 0.45 cm and mass 0.15 g are strung together on a fine thread that passes through microscopic holes drilled through their centers. When hung vertically, the lower bead rests on a knot at the bottom of the thread and the upper bead rests upon the lower bead. When placed inside a vacuum chamber and exposed to X-rays (highly energetic electromagnetic radiation), the beads acquire equal, uniform distributions of positive charge on their surfaces due to the loss of electrons ejected when struck by the X-rays. During this experiment, the beads are hung vertically, and a gap forms between them as if the top bead were levitating above the lower one, presumably due to the repulsive electrostatic force between them. The gap, that is, the vertical separation between the top of the lower bead and the bottom of the upper bead, is 0.27 cm. (a) How much excess charge is on each bead? You can treat the net excess charge on each bead as a point charge located at its center, and may neglect friction between the beads and the thread. (b) Determine the mass in kilograms of a replacement upper bead of the same size and charge as those of the original upper bead that would reduce the gap between the beads to 0.15 cm. (a) Number i (b) Number Units Units
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Transcribed Image Text:Measuring the Charge. You and your team are designing an experiment where two spherical insulating beads of
diameter 0.45 cm and mass 0.15 g are strung together on a fine thread that passes through microscopic holes drilled
through their centers. When hung vertically, the lower bead rests on a knot at the bottom of the thread and the upper
bead rests upon the lower bead. When placed inside a vacuum chamber and exposed to X-rays (highly energetic
electromagnetic radiation), the beads acquire equal, uniform distributions of positive charge on their surfaces due to
the loss of electrons ejected when struck by the X-rays. During this experiment, the beads are hung vertically, and a gap
forms between them as if the top bead were levitating above the lower one, presumably due to the repulsive
electrostatic force between them. The gap, that is, the vertical separation between the top of the lower bead and the
bottom of the upper bead, is 0.27 cm. (a) How much excess charge is on each bead? You can treat the net excess charge
on each bead as a point charge located at its center, and may neglect friction between the beads and the thread. (b)
Determine the mass in kilograms of a replacement upper bead of the same size and charge as those of the original
upper bead that would reduce the gap between the beads to 0.15 cm.
(a) Number i
(b) Number
Units
Units
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