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Chapter 25: Q. 1 (page 709)
The electric field strength is inside a parallel-plate capacitor with a spacing. An electron is released from rest at the negative plate. What is the electron’s speed when it reaches the positive plate?
Electron speed iswhen it reaches the positive speed.
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A -10.0 nC point charge and a +20.0 nC point charge are 15.0 cm apart on the x-axis. a. What is the electric potential at the point on the x-axis where the electric field is zero? b. What is the magnitude of the electric field at the point on the x-axis, between the charges, where the electric potential is zero?
charge and a charge are located on the x-axis at and , respectively.
a. Other than at infinity, is there a position or positions on the x-axis where the electric field is zero? If so, where?
b. Other than at infinity, at what position or positions on the x-axis is the electric potential zero?
c. Sketch graphs of the electric field strength and the electric potential along the x-axis.
In the form of radioactive decay known as alpha decay, an unstable nucleus emits a helium-atom nucleus, which is called an alpha particle. An alpha particle contains two protons and two neutrons, thus having massand charge . Suppose a uranium nucleus with protons decays into thorium, with protons, and an alpha particle. The alpha particle is initially at rest at the surface of the thorium nucleus, which is in diameter. What is the speed of the alpha particle when it is detected in the laboratory? Assume the thorium nucleus remains at rest
Proton moves along the x-axis where some arrangement of charges has produced the potential , where and l = 1.0 mm.
a. What minimum speed must the proton have at x = 0 to move down the axis without being reflected?
b. What is the maximum speed reached by a proton that at x = 0
Living cells “pump” singly ionized sodium ions, Na+, from the inside of the cell to the outside to maintain a membrane potential ∆Vmembrane = Vin - Vout = - 70 mV. It is called pumping because work must be done to move a positive ion from the negative inside of the cell to the positive outside, and it must go on continuously because sodium ions “leak” back through the cell wall by diffusion. a. How much work must be done to move one sodium ion from the inside of the cell to the outside? b. At rest, the human body uses energy at the rate of approximately 100 W to maintain basic metabolic functions. It has been estimated that 20% of this energy is used to operate the sodium pumps of the body. Estimate—to one significant figure—the number of sodium ions pumped per second.
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