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CALC A proton with mass m moves in one dimension. The

University Physics | 13th Edition | ISBN: 9780321675460 | Authors: Hugh D. Young, Roger A. Freedman ISBN: 9780321675460 31

Solution for problem 87CP Chapter 7

University Physics | 13th Edition

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University Physics | 13th Edition | ISBN: 9780321675460 | Authors: Hugh D. Young, Roger A. Freedman

University Physics | 13th Edition

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Problem 87CP

CALC? A proton with mass m moves in one dimension. The potential-energy function is U(x) = ?/x2) – (?/x), where ? and ? are positive constants. The proton is released from rest at x0 = ?/?. (a) Show that U(x) can be written as Graph U(x). Calculate U(x0) and thereby locate the point x 0 on the graph. (b) Calculate v(x), the speed of the proton as a function of position. Graph v(x) and give a qualitative description of the motion. (c) For what value of x is the speed of the proton a maximum? What is the value of that maximum speed? (d) What is the force on the proton at the point in part (c)? (e) Let the pro-ton be released instead at x1 = 3?/?. Locate the point x1 on the graph of U(x). Calculate v(x) and give a qualitative description of the motion. (f) For each release point (x = x0 and x = x1), what are the maximum and minimum values of x reached during the motion?

Step-by-Step Solution:

Solution 87CP Step 1: 2 The potential energy fraction is U(x) = /x (/x). Where and are positive constants. The proton is released from rest at x = / . 0 2 2 U(x) = /x 0(x /x0 (x /x)0……..(1) 2 By factoring /x 0 on R.H.S of eq……..(1).where = /x 0 U(x) = /x .x /x /x x 0 0 0 U(x) = /x 0x /x0 /x 02 x0/x 2 2 U(x) = /x (0 /x 0 x /x) 0 The curves of U(x) and V (x) are shown in above graphs. U(x) = 0,while U(x) is positive for x < x and U(x) is negative for x > x . 0 0

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Chapter 7, Problem 87CP is Solved
Step 3 of 6

Textbook: University Physics
Edition: 13
Author: Hugh D. Young, Roger A. Freedman
ISBN: 9780321675460

The answer to “CALC? A proton with mass m moves in one dimension. The potential-energy function is U(x) = ?/x2) – (?/x), where ? and ? are positive constants. The proton is released from rest at x0 = ?/?. (a) Show that U(x) can be written as Graph U(x). Calculate U(x0) and thereby locate the point x 0 on the graph. (b) Calculate v(x), the speed of the proton as a function of position. Graph v(x) and give a qualitative description of the motion. (c) For what value of x is the speed of the proton a maximum? What is the value of that maximum speed? (d) What is the force on the proton at the point in part (c)? (e) Let the pro-ton be released instead at x1 = 3?/?. Locate the point x1 on the graph of U(x). Calculate v(x) and give a qualitative description of the motion. (f) For each release point (x = x0 and x = x1), what are the maximum and minimum values of x reached during the motion?” is broken down into a number of easy to follow steps, and 172 words. This full solution covers the following key subjects: proton, graph, point, calculate, motion. This expansive textbook survival guide covers 26 chapters, and 2929 solutions. University Physics was written by and is associated to the ISBN: 9780321675460. The full step-by-step solution to problem: 87CP from chapter: 7 was answered by , our top Physics solution expert on 05/06/17, 06:07PM. Since the solution to 87CP from 7 chapter was answered, more than 825 students have viewed the full step-by-step answer. This textbook survival guide was created for the textbook: University Physics, edition: 13.

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