Essential University Physics
4th Edition
ISBN: 9780134988566
Author: Wolfson, Richard
Publisher: Pearson Education,
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Textbook Question
Chapter 22, Problem 17E
A proton, an alpha particle (a bare helium nucleus), and a singly ionized helium atom are accelerated through a 100-V potential difference. How much energy does each gain?
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In an x-ray tube, high-speed electrons are slammed into a lead target, giving off x-rays. If the electrons are accelerated from rest through a potential difference of 190 000 volts, what speed do they have when they strike the target? ( q e = 1.6 × 10 −19 C, m e = 9.11 × 10 −31 kg, and c = 3.00 × 10 8 m/s)
In this problem, we will try to understand why chemical reactions cannot power the Sun, but nuclear reactions can. The energy scale of chemical reactions is a few eV, where eV is a unit of energy called an electron volt. 1 eV = 1.602 x 10-19 J. A typical chemical reaction involves an energy change of ~0.1 to 10 eV. In contrast, a nuclear reaction typically involves a change in energy of order a few MeV (mega electron volts; a factor of a million larger).
Suppose that the Sun has a constant luminosity throughout its life, equal to its current luminosity of L⊙=3.827×1026J/s . Suppose also that the Sun is made entirely of hydrogen (or just protons, since the mass of the electron is about 2000 times smaller and is negligible in comparison). If every pair of two protons in the Sun undergo a one-time chemical reaction that nets ~1 eV of energy, how long would it take (in years) to expend all the available chemical energy?
Problem 17: An evacuated tube uses a potential difference of AV= 0.56 kV to accelerate electrons, which then hit a copper plate and
produce X-rays.
. Part (a) Write an expression for the non-relativistic speed of these electrons v in terms of e, AV, and m, assuming the electrons start from rest.
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Part (b) Calculate the non-relativistic speed of these electrons v in m/s.
Chapter 22 Solutions
Essential University Physics
Ch. 22.1 - What would happen to the potential difference Vab...Ch. 22.1 - (1) A proton (charge e), (2) an alpha particle...Ch. 22.1 - The figure shows three straight paths AB of the...Ch. 22.2 - You measure a potential difference of 50 V between...Ch. 22.2 - The figure shows three paths from infinity to a...Ch. 22.3 - The figure shows cross sections through two...Ch. 22 - Why can a bird perch on a high-voltage power line...Ch. 22 - One proton is accelerated from rest by a uniform...Ch. 22 - Would a free electron move toward higher or lower...Ch. 22 - The electric Field at the center of a uniformly...
Ch. 22 - Must the electric field he zero at any point where...Ch. 22 - Cherry picker trucks for working on power lines...Ch. 22 - Is the potential at the center of a hollow,...Ch. 22 - A solid sphere contains positive charge uniformly...Ch. 22 - Two equal hut opposite charges form a dipole....Ch. 22 - The electric potential in a region increases...Ch. 22 - How much work does it take to move a 50-C charge...Ch. 22 - The potential difference between the two sides of...Ch. 22 - It takes 45 J to move a 15-mC charge from point A...Ch. 22 - Show that 1 V/m is the same as 1 N/C.Ch. 22 - Find the magnitude of the potential difference...Ch. 22 - A charge of 3.1 C moves from the positive to the...Ch. 22 - A proton, an alpha particle (a bare helium...Ch. 22 - The potential difference across a typical cell...Ch. 22 - An electric field is given by E= E0, where E0 is a...Ch. 22 - The classical picture of the hydrogen atom has the...Ch. 22 - The potential at the surface of a 10-cm-radius...Ch. 22 - Youre developing a switch for high-voltage power...Ch. 22 - A 3.5-cm-diameter isolated metal sphere carries...Ch. 22 - In a uniform electric field, equipotential planes...Ch. 22 - Figure 22.22 shows a plot of potential versus...Ch. 22 - figure 22.23 shows some equipotentials in the x-y...Ch. 22 - The electric potential in a region is given by V =...Ch. 22 - Dielectric breakdown of air occurs at fields of 3...Ch. 22 - Youre an automotive engineer working on the...Ch. 22 - A large metal sphere has three times the diameter...Ch. 22 - Example 22.4: A power distribution line in a city...Ch. 22 - Example 22.4: Consider a 2.54-cm-diameter power...Ch. 22 - Example 22.4: Problem 43 of Chapter 20 considers a...Ch. 22 - Example22.4: You’ve got a thin charged rod as...Ch. 22 - Example 22.8: A disk of radius cm carries charge ...Ch. 22 - The potential on the axis of a uniformly charged...Ch. 22 - Example 22.8: Use the result of Problem 61 to show...Ch. 22 - Example 22.8: An annulus like that shown in Fig....Ch. 22 - Two points A and B lie 15 cm apart in a uniform...Ch. 22 - The electric field within a cell membrane is...Ch. 22 - Whats the potential difference between the...Ch. 22 - Prob. 42PCh. 22 - Two Hat metal plates are a distance d apart, where...Ch. 22 - An electron passes point A moving at 6.5 Mm/s. At...Ch. 22 - A 5.0-g object carries 3.8 C. It acquires speed v...Ch. 22 - Points A and B lie 32.0 cm apart on a line...Ch. 22 - A sphere of radius R carries negative charge of...Ch. 22 - Proton-beam therapy can be preferable to X rays...Ch. 22 - A thin spherical shell of radius R carries...Ch. 22 - A solid sphere of radius R carries charge Q...Ch. 22 - Find the potential as a function of position in...Ch. 22 - Your radio station needs a new coaxial cable to...Ch. 22 - The potential difference between the surface of a...Ch. 22 - Three equal charges q form an equilateral triangle...Ch. 22 - A charge +Q lies at the origin and 3Q at x = a....Ch. 22 - Two identical charges q lie on the x-axis at a....Ch. 22 - A dipole of moment p = 2.9 nC m consists of two...Ch. 22 - A thin plastic rod 20 cm long carries 3.2 nC...Ch. 22 - A thin ring of radius R carries charge 3Q...Ch. 22 - The potential at the center of a uniformly charged...Ch. 22 - The annulus shown in Fig. 22.25 carries a uniform...Ch. 22 - The potential in a region is given by V = axy,...Ch. 22 - Use Equation 22.6 to calculate the electric field...Ch. 22 - Use the result of Example 22.6 to determine the...Ch. 22 - The electric potential in a region is given by V =...Ch. 22 - Two metal spheres each 1.0 cm in radius are far...Ch. 22 - Two 5.0-cm-diameter conducting spheres are 8.0 m...Ch. 22 - A 2.0-cm-radius metal sphere carries 75 nC and is...Ch. 22 - A sphere of radius R carries a nonuniform but...Ch. 22 - Prob. 70PCh. 22 - A conducting sphere 15.4 cm in diameter carries...Ch. 22 - INTERPRET Ibis problem deals with the electric...Ch. 22 - The potential on the axis of a uniformly charged...Ch. 22 - A uranium nucleus (mass 238 u, charge 92e) decays,...Ch. 22 - The Taser, an ostensibly nonlethal weapon used by...Ch. 22 - Using the dipole potential at points far from a...Ch. 22 - Measurements of the potential at points on the...Ch. 22 - Find an equation describing the V = 0...Ch. 22 - A disk of radius a carries nonuniform surface...Ch. 22 - An open ended cylinder of radius a and length 2a...Ch. 22 - A line charge extends along the x-axis from L/2 to...Ch. 22 - Repeat Problem 79 for the charge distribution =...Ch. 22 - Youre sizing a new electric transmission line, and...Ch. 22 - bio Standard electrocardiography measures...Ch. 22 - bio Standard electrocardiography measures...Ch. 22 - bio Standard electrocardiography measures...Ch. 22 - bio Standard electrocardiography measures...
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