Physics for Scientists and Engineers with Modern Physics, Technology Update
9th Edition
ISBN: 9781305401969
Author: SERWAY, Raymond A.; Jewett, John W.
Publisher: Cengage Learning
expand_more
expand_more
format_list_bulleted
Concept explainers
Question
Chapter 42, Problem 13P
(a)
To determine
The orbital speed of the electron.
(b)
To determine
The kinetic energy of the electron.
(c)
To determine
The electric potential energy of the atom.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
In another two-atom molecule that is breaking apart, the force from one atom to the other is given by
F12= F0(r/r2)e^-(r/r2)^2
where F0 = 15.6 eV/nm and r2 = 2.2 nm. Find the change in potential energy of the molecule due to this force if the separation of the atoms changes from r = 2.5 nm to r = 4.1 nm.
Consider the earth-sun system as a gravitational analog to the hydrogen atom. You may need to know
that the mass of the earth is
m =
5.97219 × 1024 kg,
the mass of the sun is
the distance between the sun and the earth is
ework 08
M = 1.98847 × 1030 kg,
R = 1.49598 × 1011
m,
1
2
and the force and potential energy distribution that the earth experiences due to the gravitational field
of the sun are
GmM
F
7.2
GmM
U(r) = -
==
r
where G is the gravitation constant
G = 6.67428 × 10-11 N m²/kg².
[Some standard calculators have issues with the numbers in this problem. If you get overflow or
underflow errors, try using MATLAB]
(a) Using the fact that the centripetal force must have magnitude
mv2
F
=
r
what is the centripetal velocity of the earth at an arbitrary radius r?
(b) Using the centripetal velocity, find the total energy of this system as
E=T+U
1
= √mv² + U(r).
(c) Use Bohr's assertion that
mvr = nh,
to find the radii rn as a function of the principle quantum number n for the earth-sun…
One model for the potential energy of a two-atom molecule, where the atoms are separated by a distance r, is
U(r) = Uo[()13 – (4)1
where ro = 0.7 nm and Ug = 7.1 ev.
Note: 1 eV = 1.6 × 10–19 J.
Some helpful units:
[Force] = eV/nm
[Energy] = eV
[distance] = nm
Chapter 42 Solutions
Physics for Scientists and Engineers with Modern Physics, Technology Update
Ch. 42.3 - Prob. 42.1QQCh. 42.3 - Prob. 42.2QQCh. 42.4 - Prob. 42.3QQCh. 42.4 - Prob. 42.4QQCh. 42.8 - Prob. 42.5QQCh. 42 - Prob. 1OQCh. 42 - Prob. 2OQCh. 42 - Prob. 3OQCh. 42 - Prob. 4OQCh. 42 - Prob. 5OQ
Ch. 42 - Prob. 6OQCh. 42 - Prob. 7OQCh. 42 - Prob. 8OQCh. 42 - Prob. 9OQCh. 42 - Prob. 10OQCh. 42 - Prob. 11OQCh. 42 - Prob. 12OQCh. 42 - Prob. 13OQCh. 42 - Prob. 14OQCh. 42 - Prob. 15OQCh. 42 - Prob. 1CQCh. 42 - Prob. 2CQCh. 42 - Prob. 3CQCh. 42 - Prob. 4CQCh. 42 - Prob. 5CQCh. 42 - Prob. 6CQCh. 42 - Prob. 7CQCh. 42 - Prob. 8CQCh. 42 - Prob. 9CQCh. 42 - Prob. 10CQCh. 42 - Prob. 11CQCh. 42 - Prob. 12CQCh. 42 - Prob. 1PCh. 42 - Prob. 2PCh. 42 - Prob. 3PCh. 42 - Prob. 4PCh. 42 - Prob. 5PCh. 42 - Prob. 6PCh. 42 - Prob. 7PCh. 42 - Prob. 8PCh. 42 - Prob. 9PCh. 42 - Prob. 10PCh. 42 - Prob. 11PCh. 42 - Prob. 12PCh. 42 - Prob. 13PCh. 42 - Prob. 14PCh. 42 - Prob. 15PCh. 42 - Prob. 16PCh. 42 - Prob. 17PCh. 42 - Prob. 18PCh. 42 - Prob. 19PCh. 42 - Prob. 20PCh. 42 - Prob. 21PCh. 42 - Prob. 23PCh. 42 - Prob. 24PCh. 42 - Prob. 25PCh. 42 - Prob. 26PCh. 42 - Prob. 27PCh. 42 - Prob. 28PCh. 42 - Prob. 29PCh. 42 - Prob. 30PCh. 42 - Prob. 31PCh. 42 - Prob. 32PCh. 42 - Prob. 33PCh. 42 - Prob. 34PCh. 42 - Prob. 35PCh. 42 - Prob. 36PCh. 42 - Prob. 37PCh. 42 - Prob. 38PCh. 42 - Prob. 39PCh. 42 - Prob. 40PCh. 42 - Prob. 41PCh. 42 - Prob. 43PCh. 42 - Prob. 44PCh. 42 - Prob. 45PCh. 42 - Prob. 46PCh. 42 - Prob. 47PCh. 42 - Prob. 48PCh. 42 - Prob. 49PCh. 42 - Prob. 50PCh. 42 - Prob. 51PCh. 42 - Prob. 52PCh. 42 - Prob. 53PCh. 42 - Prob. 54PCh. 42 - Prob. 55PCh. 42 - Prob. 56PCh. 42 - Prob. 57PCh. 42 - Prob. 58PCh. 42 - Prob. 59PCh. 42 - Prob. 60PCh. 42 - Prob. 61PCh. 42 - Prob. 62PCh. 42 - Prob. 63PCh. 42 - Prob. 64PCh. 42 - Prob. 65APCh. 42 - Prob. 66APCh. 42 - Prob. 67APCh. 42 - Prob. 68APCh. 42 - Prob. 69APCh. 42 - Prob. 70APCh. 42 - Prob. 71APCh. 42 - Prob. 72APCh. 42 - Prob. 73APCh. 42 - Prob. 74APCh. 42 - Prob. 75APCh. 42 - Prob. 76APCh. 42 - Prob. 77APCh. 42 - Prob. 78APCh. 42 - Prob. 79APCh. 42 - Prob. 80APCh. 42 - Prob. 81APCh. 42 - Prob. 82APCh. 42 - Prob. 83APCh. 42 - Prob. 84APCh. 42 - Prob. 85APCh. 42 - Prob. 86APCh. 42 - Prob. 87APCh. 42 - Prob. 88APCh. 42 - Prob. 89CPCh. 42 - Prob. 90CPCh. 42 - Prob. 91CP
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.Similar questions
- Rank the following quantities of energy from largest to the smallest. State if any are equal. (a) the absolute value of the average potential energy of the SunEarth system (b) the average kinetic energy of the Earth in its orbital motion relative to the Sun (c) the absolute value of the total energy of the SunEarth systemarrow_forwardA system consists of five particles. How many terms appear in the expression for the total gravitational potential energy of the system? (a) 4 (b) 5 (c) 10 (d) 20 (e) 25arrow_forwardOne model for the potential energy of a two-atom molecule, where the atoms are separated by a distance r, is U(r) = U0 [(r0 / r)16 - (r0 / r)9] where r0 = 0.70 nm and U0 = 7.0 eV. Note: 1 eV = 1.6*10-19 J. You can use SI units, but CAPA will also accept these units that will simplify your calculations: [Force] = eV/nm[Energy] = eV[distance] = nm r_eq = 7.6 *10^-1 nm If the distance between the atoms increases from equilibrium by r1 = 0.20 nm, then what is the force from one atom on the other associated with this potential energy? (Enter your answer as postive if they repel each other, and negative if they attract). F_r (r_eq +r_1) = ? The atoms are oscillating back and forth. The maximum separation of the atoms is r2 = 2.2 nm. What is the kinetic energy of the atoms when they are separated by the equilibrium distance? K(r_eq) = ?arrow_forward
- Question: 12 The potential energy of two atoms separated by a distance r may be written: U (r) = 4U₁ AU. [(G) ¹ - ()] Given ro = 3.3 nm, and U₁ = 3.13 × 10-²¹ J, what is the separation at which there is no force between the atoms?arrow_forwardOne model for the potential energy of a two-atom molecule, where the atoms are separated by a distance r, is U(r)=U0[(r0/r)12−(r0/r)4] where r0 = 0.65 nm and U0 = 7.4 eV.Note: 1 eV = 1.6×10−19 J.Some helpful units:[Force] = eV/nm[Energy] = eV[distance] = nm Here is what I am having trouble with: What is the distance between the atoms when the molecule is in stable equilibrium? If the distance between the atoms increases from equilibrium by r1 = 0.2 nm, then what is the force from one atom on the other associated with this potential energy? (Enter your answer as postive if they repel each other, and negative if they attract.)arrow_forwardTwo protons and an alpha particle (a=He nucleus, 2p+,2n0)are held at rest at the corners of an equilateral triangle whose side length is 9.20x10-10 . The particles are released and move apart. What is their total energy when they are far apart?arrow_forward
- 1. In the Bohr model of the hydrogen (H) atom, the electron moves on a circular path (orbit) around the nucleus, which consists of a single proton. In the ground state of H (the lowest energy level of H), the electron orbits the proton at a distance of 0.529 Å (or 5.29 x 10-11 m; 1 Å = 10-10 m) with a linear speed of 2.19 × 106 m/s. (a) What is the angular speed of the electron? (b) How many orbits around the proton does the electron make each second? (c) What is the electron's centripetal acceleration?arrow_forwardA satellite in Earth orbit has a mass of 96 kg and is at an altitude of 1.98 x 10° m. (Assume that U = 0 as r – ∞.) (a) What is the potential energy of the satellite-Earth system? (b) What is the magnitude of the gravitational force exerted by the Earth on the satellite? 97671.15 What is the equation for gravitational force when the altitude is comparable to the radius of the Earth? N (c) What force, if any, does the satellite exert on the Earth? (Enter the magnitude of the force, if there is no force enter 0.)arrow_forwardAt which point are the atoms forced so close together that the repulsive potential energy is greater than the attractive potential energy? Question 1 options: 5 1 3arrow_forward
- 1. A point particle of mass m, moves along the uniformly rough track PQR as shown in the figure. The coefficient of friction, between the particle and the rough track equals u. The particle is released from rest, from the point P and it comes to rest at a point R. The energies lost by the ball, over the parts PQ and QR of the track, are equal to each other, and no energy is lost when particle changes direction from PQ to QR. The values of the coefficient of frictionu and the distance x (= QR), are respectively close to P h = 2m| Horizontal surface (a) 0.2 and 6.5 m (c) 0.29 and 3.5 m 30° Q R (b) 0.2 and 3.5 m (d) 0.29 and 6.5 marrow_forward1. Two persons were practicing social distancing to alleviate the spread of COVID-19. Social distancing requires a minimum of 3 feet distance from person to person. However, due to their eagerness to share some rumors, the two persons decided to approach each other and now within the intimate distance (12 inches). If person A weighs 60 kg. and person B weighs 68 kg, determine the work done for this act. Take G = 6.67408 x 10-11 m³ kg¬'s-2. A. 6.8076 ergs B. 8.0766 ergs C. 5.9559 ergs D. 5.5599 ergs 2. Find the moment of mass from the x-axis for y = x In(x) – 3x and y = 1 bounded by x = 3 and x = 6. The surface density is equal to 0.37 kg/units'. A. 24.0793 kg. В. -38.6209 kg C. 27.8043 kg. D. -36.8902 kg. 3. In 2019, SCUBA divers from Mexico explores the Atlantic Ocean (64 lb/ft) and finds a circular clock thought to be the ancient remnants of the legendary Atlantis. If the clock measures 1.3 ft. in diameter and depth is measured to be 1250 ft. from the surface to the center of this…arrow_forwardE (a) Calculate is the change in PE when an electron moves through an electric field, E = 50 N/C, directed to the right, a distance of 6 m to the left. V Potential Energy, APE: ✓ J (b) Is mechanical energy of the electron conserved during the motion? Yes No (c) If the electron starts from rest what is its speed, v₁, after traveling 6 m? The mass of the electron is me =9.1×10-³¹ kg. Vf= ✔m/sarrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
University Physics Volume 1PhysicsISBN:9781938168277Author:William Moebs, Samuel J. Ling, Jeff SannyPublisher:OpenStax - Rice University
Physics for Scientists and Engineers, Technology ...PhysicsISBN:9781305116399Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
Classical Dynamics of Particles and SystemsPhysicsISBN:9780534408961Author:Stephen T. Thornton, Jerry B. MarionPublisher:Cengage Learning
Physics for Scientists and Engineers with Modern ...PhysicsISBN:9781337553292Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
Physics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage Learning
Principles of Physics: A Calculus-Based Text
Physics
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
University Physics Volume 1
Physics
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:OpenStax - Rice University
Physics for Scientists and Engineers, Technology ...
Physics
ISBN:9781305116399
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Classical Dynamics of Particles and Systems
Physics
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Cengage Learning
Physics for Scientists and Engineers with Modern ...
Physics
ISBN:9781337553292
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Physics for Scientists and Engineers: Foundations...
Physics
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Cengage Learning