Explanation Given info: R = 6.0 cm 2 = 3.0 cm 1 4 π ϵ 0 = 8.9 × 10 9 m/F q 2 = 2.5 nC = 2.5 × 10 − 9 C k = 0.65 N/m Formula used: In this case the initial potential energy of the bead is due to the compression of the spring. This initial potential energy will be converted to the final electrostatic potential energy. Consider the charge of the metal sphere is q 1 . And charge of the bead is q 2 . Now the initial potential energy of the bead is U i = 1 2 k ( Δ x ) 2 (1) And the final potential energy of the bead is U f = 1 4 π ϵ 0 q 1 q 2 r (2) Where r is the distance of the bead from the centre. If the closest approach is x and radius of the metal sphere is R , then r is given by r = x + R . Now equating this two energies we have 1 2 k ( Δ x ) 2 = 1 4 π ϵ 0 q 1 q 2 r (3) Rearranging the terms we have r = 1 4 π ϵ 0 2 q 1 q 2 k 1 ( Δ x ) 2 (4) Calculation: Substitute all the values in equation (4) r = ( 8.9 × 10 9 m/F ) 2 q 1 ( 2.5 × 10 − 9 C ) ( 0.65 N/m ) 1 ( Δ x ) 2 = ( 6

Physics for Scientists and Engineers: A Strategic Approach with Modern Physics (4th Edition)

4th Edition

ISBN: 9780133942651

Author: Randall D. Knight (Professor Emeritus)

Publisher: PEARSON

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Electric Charges and Fields

One of the fundamental properties is the electromagnetic property. Charge cannot be destroyed by any process and this contributes formally to the law of charge conservation.

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Chapter 25, Problem 55EAP

To determine

From the given data, calculate the charge of the metal sphere.

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Chapter 25, Problem 54EAP

Chapter 25, Problem 56EAP

Chapter 25 Solutions

Physics for Scientists and Engineers: A Strategic Approach with Modern Physics (4th Edition)

Ch. 25 - a. Charge q1is distance r from a positive point...Ch. 25 - FIGURE Q25.2 shows the potential energy of a...Ch. 25 - An electron moves along the trajectory of FIGURE...Ch. 25 - Two protons are launched with the same speed from...Ch. 25 - Rank in order, from most positive to most...Ch. 25 - FIGURE Q25.6 shows the electric potential along...Ch. 25 - A capacitor with plates separated by distance d is...Ch. 25 - Prob. 8CQ Ch. 25 - FIGURE Q25.9 shows two points inside a capacitor....Ch. 25 - FIGURE Q25.10 shows two points near a positive...

Ch. 25 - ll. FIGURE Q25.11 shows three points near two...Ch. 25 - Reproduce FIGURE Q25.12 on your paper. Then draw a...Ch. 25 - I. The electric field strength is 20,000 N/C...Ch. 25 - The electric field strength is 50,000 N/C inside a...Ch. 25 - A proton is released from rest at the positive...Ch. 25 - A proton is released from rest at the positive...Ch. 25 - Prob. 5EAP Ch. 25 - What is the electric potential energy of the group...Ch. 25 - What is the electric potential energy of the group...Ch. 25 - Two positive point charges are 5.0 cm apart. If...Ch. 25 - A water molecule perpendicular to an electric...Ch. 25 - FIGURE EX25.10 shows the potential energy of an...Ch. 25 - What is the speed of a proton that has been...Ch. 25 - I What is the speed of an electron that has been...Ch. 25 - What potential difference is needed to accelerate...Ch. 25 - Prob. 14EAP Ch. 25 - A proton with an initial speed of 800,000 m/s is...Ch. 25 - Prob. 16EAP Ch. 25 - Prob. 17EAP Ch. 25 - In proton-beam therapy, a higher-energy beam of...Ch. 25 - Prob. 19EAP Ch. 25 - Prob. 20EAP Ch. 25 - Prob. 21EAP Ch. 25 - Prob. 22EAP Ch. 25 - Prob. 23EAP Ch. 25 - Prob. 24EAP Ch. 25 - Two 2.0-cm-diameter disks spaced 2.0 mm apart form...Ch. 25 - In FIGURE EX25.26, a proton is fired with a speed...Ch. 25 - Prob. 27EAP Ch. 25 - Prob. 28EAP Ch. 25 - Prob. 29EAP Ch. 25 - Prob. 30EAP Ch. 25 - Prob. 31EAP Ch. 25 - Prob. 32EAP Ch. 25 - Prob. 33EAP Ch. 25 - Prob. 34EAP Ch. 25 - Prob. 35EAP Ch. 25 - A 5.0-cm-diamtere metal ball has a surface charge...Ch. 25 - Prob. 37EAP Ch. 25 - Prob. 38EAP Ch. 25 - Prob. 39EAP Ch. 25 - Prob. 40EAP Ch. 25 - Prob. 41EAP Ch. 25 - The four 1.0 g sphere shown in FIGURE P25.42 are...Ch. 25 - A proton’s speed as it passes point A is 50,000...Ch. 25 - Prob. 44EAP Ch. 25 - Prob. 45EAP Ch. 25 - Prob. 46EAP Ch. 25 - Prob. 47EAP Ch. 25 - Prob. 48EAP Ch. 25 - Prob. 49EAP Ch. 25 - Prob. 50EAP Ch. 25 - What is the escape speed of an electron launched...Ch. 25 - Prob. 52EAP Ch. 25 - Prob. 53EAP Ch. 25 - Il A 2.0-mm-diameter glass bead is positively...Ch. 25 - Prob. 55EAP Ch. 25 - Il A proton is fired from far away toward the...Ch. 25 - Prob. 57EAP Ch. 25 - Prob. 58EAP Ch. 25 - Il One form of nuclear radiation, beta decay,...Ch. 25 - Il Two 10-cm-diameterelectrodes 0.50 cm a part...Ch. 25 - Il Two 10-cm-diameter electrodes 0.50 cm apart...Ch. 25 - Il Electrodes of area A are spaced distance d...Ch. 25 - Prob. 63EAP Ch. 25 - Il Two spherical drops of mercury each have a...Ch. 25 - Prob. 65EAP Ch. 25 - Il FIGURE P25.66 shows two uniformly charged...Ch. 25 - Prob. 67EAP Ch. 25 - Il The arrangement of charges shown in FIGURE...Ch. 25 - Il FIGURE P25.69 shows a thin rod of length L and...Ch. 25 - Il FIGURE P25.69 shows a thin rod of length L and...Ch. 25 - I FIGURE P25.71 shows a thin rod with charge Q...Ch. 25 - Prob. 72EAP Ch. 25 - Prob. 73EAP Ch. 25 - Prob. 74EAP Ch. 25 - Prob. 75EAP Ch. 25 - Prob. 76EAP Ch. 25 - Prob. 77EAP Ch. 25 - Il A proton and an alpha particle (q = +2e, m = 4...Ch. 25 - Ill Bead A has a mass of 15 g and a charge of —5.0...Ch. 25 - Il Two 2.0-mm-diameter beads, C and D, are 10 mm...Ch. 25 - Il A thin rod of length L and total charge Q has...Ch. 25 - Il A hollow cylindrical shell of length L and...

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