Modern Physics
2nd Edition
ISBN: 9780805303087
Author: Randy Harris
Publisher: Addison Wesley
expand_more
expand_more
format_list_bulleted
Question
Chapter 5, Problem 21E
(a)
To determine
To Sketch:Potential energy at
(b)
To determine
To Find:The turning points and if the particle would be bound.
(c)
To determine
To Find:The turning points and if the particle would be bound.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
Ex
a) determine wheter F is Conservative and find a potential
if it is..
b) find the work done by F(x²y + 2) = (y² cosx + 2² ) ² + 2ysinx) -
+ 3x²² K² in moving a particle a long the intersection of
the planes x+y=2= =0
and x-2y + 2 =0
From (T/2, 7/2₂, ™½/2) to (37/₂2, 35/2, 37/2).
Suppose we let the radius approach zero. What would happen to the self-potential energy?
Find the work done by the force field F = (2x + 4y, 4x + 8y) in moving a particle from (-1,1) to (1,1) along the path r(t) = (t,t2) in two ways: (a) by direct evaluation of the line integral; (b) by finding a scalar potential and using the gradient theorem.
Chapter 5 Solutions
Modern Physics
Ch. 5 - Prob. 1CQCh. 5 - Prob. 2CQCh. 5 - Prob. 3CQCh. 5 - Prob. 4CQCh. 5 - Prob. 5CQCh. 5 - Prob. 6CQCh. 5 - Prob. 7CQCh. 5 - Prob. 8CQCh. 5 - Prob. 9CQCh. 5 - Prob. 10CQ
Ch. 5 - Prob. 11CQCh. 5 - Prob. 12CQCh. 5 - Prob. 13CQCh. 5 - Prob. 14CQCh. 5 - Prob. 15CQCh. 5 - Prob. 16CQCh. 5 - Prob. 17CQCh. 5 - Prob. 18CQCh. 5 - Prob. 19ECh. 5 - Prob. 20ECh. 5 - Prob. 21ECh. 5 - Prob. 22ECh. 5 - Prob. 23ECh. 5 - Prob. 24ECh. 5 - Prob. 25ECh. 5 - Prob. 26ECh. 5 - Prob. 27ECh. 5 - Prob. 28ECh. 5 - Prob. 29ECh. 5 - Prob. 30ECh. 5 - Prob. 31ECh. 5 - Prob. 32ECh. 5 - Prob. 33ECh. 5 - Prob. 34ECh. 5 - Prob. 35ECh. 5 - Prob. 36ECh. 5 - Prob. 37ECh. 5 - Prob. 38ECh. 5 - Prob. 39ECh. 5 - Prob. 40ECh. 5 - Prob. 41ECh. 5 - Prob. 42ECh. 5 - Obtain expression (5-23) from equation (5-22)....Ch. 5 - Prob. 44ECh. 5 - Prob. 45ECh. 5 - Prob. 46ECh. 5 - Prob. 47ECh. 5 - Prob. 48ECh. 5 - Prob. 49ECh. 5 - Prob. 50ECh. 5 - Prob. 51ECh. 5 - Prob. 52ECh. 5 - Prob. 53ECh. 5 - Prob. 54ECh. 5 - Prob. 55ECh. 5 - Prob. 56ECh. 5 - Prob. 57ECh. 5 - Prob. 58ECh. 5 - Prob. 59ECh. 5 - Prob. 60ECh. 5 - Prob. 61ECh. 5 - Prob. 62ECh. 5 - Prob. 63ECh. 5 - Prob. 64ECh. 5 - Prob. 65ECh. 5 - Prob. 66ECh. 5 - Prob. 67ECh. 5 - Prob. 68ECh. 5 - Prob. 69ECh. 5 - Prob. 70ECh. 5 - Prob. 71ECh. 5 - In a study of heat transfer, we find that for a...Ch. 5 - Prob. 73CECh. 5 - Prob. 74CECh. 5 - Prob. 75CECh. 5 - Prob. 76CECh. 5 - Prob. 77CECh. 5 - Prob. 78CECh. 5 - Prob. 79CECh. 5 - Prob. 80CECh. 5 - Prob. 81CECh. 5 - Prob. 82CECh. 5 - Prob. 83CECh. 5 - Prob. 84CECh. 5 - Prob. 85CECh. 5 - Prob. 86CECh. 5 - Prob. 87CECh. 5 - Prob. 88CECh. 5 - Consider the differential equation...Ch. 5 - Prob. 90CECh. 5 - Prob. 91CECh. 5 - Prob. 92CECh. 5 - Prob. 93CECh. 5 - Prob. 94CECh. 5 - Prob. 95CECh. 5 - Prob. 96CECh. 5 - Prob. 97CECh. 5 - Prob. 98CE
Knowledge Booster
Similar questions
- Problem 6. Assume that a force field f is given in the (r, y)-plane, and consider a mass m is moving under the influence of f. The total energy of the mass is defined by the following expression E=m lu?+V(z, y), where v= is the velocity vector of the mass along the curve y= (#(t), y(t)), and V is the potential of the mass defined by the relation f=-vV, where V is the gradient operator defined as VV = Ae dE du Show that dt =0 assuming the NEWTON's second law m=f, and conclude that the mass moves along dt the solution to the following differential equation dr+ dy-0.arrow_forward(8%) Problem 1: A particle moves from point A to point B. Let L be the straight-line distance between A and B, let R be the magnitude of the particle's displacement, and let S be the distance the particle traveled. A 33% Part (a) Which is always true? ▷ A 33% Part (b) Which is only sometimes true? oo L = R O R=S R>S Grade S Deductic Potentialarrow_forwardA particle of mass m at position x(t)e, is moving under the effect of a conservative force with corresponding potential V (x). (a) Give an expression for the total energy E of the particle, and hence determine an expression for dæ/dt in terms of E, m and V. (b) Show that the force F = -xe-*e, is conservative, and find the corresponding potential V (x), assuming that V → 0 as x → ±. (c) Show that the motion is bounded for –1/2 0?arrow_forward
- Show that the work done by the force field F=(y' – 2xyz")î+(3+2.xy – x*z')}+(6z° – 3x°yz*)& is path independent and calculate the work done by this force field in moving a particle from (1, -1, 2) to (2,3,1).arrow_forwardA moving electron has a Kinetic Energy Kq. After a net amount of work is done on it, the electron is moving one-quarter as fast in the opposite direction. What is the work done W in terms of Kq? Solution To solve for the work done, first we must determine what is the final kinetic energy of the electron. By concept, we know that K1=(1/2)mv²1 K2=(1/2)mv2 But it was mentioned that: v2=( so, K2 in terms of v1 is K2=( )mv21 Substituting the expression for K1 results to K2=( )K1 Since work done is W=AK=K -K Evaluating results to W=( )K1arrow_forwardOne model that is used for the interactions between animals, including fish in a school, is that the fish have an energy of interaction that is given below by a Morse potential. The fish will attract or repel each other until they reach a distance that minimizes the function V(r). The coefficients A and a are positive numbers. Complete parts (a) through (c). V(r)=e^-r -Ae^-ar, r>0 Find the value of r that minimizes V(r).arrow_forward
- Show that F = y2z sinh(2xz)i + 2y cosh2(xz)j + y2x sinh(2xz)k is conservative, and find a scalar potential φ such that F = −∇φ.arrow_forwardConsider a particle subject to the potential: V (x) : 1 + x² In other words: x' X' = y' dV dx x² -1 (x²+1)² Where: X(0) = C) ()- For what values of v does the particle reach x = 1?arrow_forwardA particle of mass m moves in one-dimensional motion through a field for which the potential energy of the particle–field system is U(x) = (A)/(x3) - (B)/(x)where A and B are constants. The general shape of this function is shown. (a) Find the equilibrium position x0 of the particle in terms of m, A, and B. (b) Determine the depth U0 of this potential well. (c) In moving along the x axis, what maximum force toward the negative x direction does the particle experience?arrow_forward
- Show that if the potential energy expression is always positive for arbitrary 5, and 2, which do not vanish simultaneously, it is necessary that C11> 0 and C11C22 > C12²2 Hint. V = [(√₁³₁ ± √₂₂d₂)² = 2(√C₁1C₂2 - C₁2)818₂] V > 0 for d₁ = 0 V >0 for d₂ = 0 V > 0 for √₁0₁ ± √2202 = 0arrow_forwardA particle, of mass m, is moving in one dimension under the influence of a conservative force with potential V (x). (a) If the potential is given by V (x) = x² – x*, (2) - find any equilibrium points and determine their stability. (b) The particle is started from the origin x = 0 with speed v, and moves under the influence of the potential V (x) defined in equation (2). How large does v need to be for the motion to be unbounded?arrow_forwardA moving electron has a Kinetic Energy K1. After a net amount of work is done on it, the electron is moving one-quarter as fast in the opposite direction. What is the work done W in terms of K1? Solution To solve for the work done, first we must determine what is the final kinetic energy of the electron. By concept, we know that K1=(1/2)mv21 K2=(1/2)mv2 But it was mentioned that: v2=( V1 so, K2 in terms of v1 is K2=( mv²1 Substituting the expression for K1 results to K2=( K1 Since work done is W=AK=K -K Evaluating results to W=( K1arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Classical Dynamics of Particles and SystemsPhysicsISBN:9780534408961Author:Stephen T. Thornton, Jerry B. MarionPublisher:Cengage Learning
Classical Dynamics of Particles and Systems
Physics
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Cengage Learning