A uniform electric field E is directed along the x-axis between parallel plates of charge separated by a distance d as shown in the figure. A positive point charge q of mass m is released from rest at a point A next to the positive plate and accelerates to a point B next to the negative plate. A positive point charge q in a uniform electric field E undergoes constant acceleration in the direction of the field. V= 0

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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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Find the speed of the particle at B by modeling it as a nonisolated system in terms of energy.
SOLUTION
Categorize The problem statement tells us that the charge is a nonisolated system for energy. The electric force, like
any force, can do work on a system. Energy is transferred to the system of the charge by work done by the
---Select---
+ force exerted on the charge. The initial configuration of the system is when the particle is at rest at A,
and the final configuration is when it is moving with some speed at B.
Analyze
Write the appropriate reduction of the conservation of energy equation,
ΔΚ + Δυ + ΔΕ
= W + Q + TMw + TMT + TET + TER, for the system of the charged particle:
int
W= ΔΚ
Replace the work and kinetic energies with values appropriate for this situation. (Use the following as necessary: F.,
Ax, E, and m.)
e'
FAx = KB - KA
2
-mv? - 0 → v, =
Substitute for the electric force F and the displacement Ax. (Use the following as necessary: E, m, d, and q.)
Finalize The answer to part (b) is the same as that for part (a), as we expect. This problem can be solved with
different approaches. We saw the same possibilities with mechanical problems.
EXERCISE
In an experiment similar to the setup described in the Example, a positively charged particle of mass m is released from
rest at the surface of the positive plate. The velocity of the particle at the negative plate is 1.30 x 105 m/s. If the electric
field magnitude is 6.00 x 103 N/C, the distance between the two plates is 5 cm, and the charge on the particle is 3e, what
is the particle's mass (in kg)?
Transcribed Image Text:Find the speed of the particle at B by modeling it as a nonisolated system in terms of energy. SOLUTION Categorize The problem statement tells us that the charge is a nonisolated system for energy. The electric force, like any force, can do work on a system. Energy is transferred to the system of the charge by work done by the ---Select--- + force exerted on the charge. The initial configuration of the system is when the particle is at rest at A, and the final configuration is when it is moving with some speed at B. Analyze Write the appropriate reduction of the conservation of energy equation, ΔΚ + Δυ + ΔΕ = W + Q + TMw + TMT + TET + TER, for the system of the charged particle: int W= ΔΚ Replace the work and kinetic energies with values appropriate for this situation. (Use the following as necessary: F., Ax, E, and m.) e' FAx = KB - KA 2 -mv? - 0 → v, = Substitute for the electric force F and the displacement Ax. (Use the following as necessary: E, m, d, and q.) Finalize The answer to part (b) is the same as that for part (a), as we expect. This problem can be solved with different approaches. We saw the same possibilities with mechanical problems. EXERCISE In an experiment similar to the setup described in the Example, a positively charged particle of mass m is released from rest at the surface of the positive plate. The velocity of the particle at the negative plate is 1.30 x 105 m/s. If the electric field magnitude is 6.00 x 103 N/C, the distance between the two plates is 5 cm, and the charge on the particle is 3e, what is the particle's mass (in kg)?
A uniform electric field E is directed along the x-axis between parallel plates of charge separated by a distanced as shown in the figure. A positive point charge q of mass m is released from rest at a point A next to the
positive plate and accelerates to a point B next to the negative plate.
A positive point charge q in a
uniform electric field E undergoes
constant acceleration in the
direction of the field.
+
+
= 0
B
d
Transcribed Image Text:A uniform electric field E is directed along the x-axis between parallel plates of charge separated by a distanced as shown in the figure. A positive point charge q of mass m is released from rest at a point A next to the positive plate and accelerates to a point B next to the negative plate. A positive point charge q in a uniform electric field E undergoes constant acceleration in the direction of the field. + + = 0 B d
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