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Unformatted text preview: Rodriguez, Brandon Homework 6 Due: Sep 12 2006, 11:00 am Inst: Andrew J Rader 1 This print-out should have 8 questions. Multiple-choice questions may continue on the next column or page find all choices before answering. The due time is Central time. Please notice that for your homework to be considered towards your grade, it needs to be submitted one hour before the corresponding recitation starts. Work submitted after this time, but before the DUE DATE on top of this page, will be accepted but not graded. PLEASE REMEMBER THAT YOU MUST CARRY OUT YOUR CALCULA- TIONS TO AT LEAST THREE SIGNIFI- CANT FIGURES. YOUR ANSWER MUST BE WITHIN ONE PERCENT OF THE CORRECT RESULT TO BE MARKED AS CORRECT BY THE SERVER. 001 (part 1 of 2) 6 points A deuteron (a nucleus that consists of one pro- ton and one neutron) is accelerated through a 2 . 26 kV potential difference. How much kinetic energy does it gain? Correct answer: 3 . 62092 10- 16 J. Explanation: Let : V = 2 . 26 kV = 2260 V , q = 1 . 60218 10- 19 C , m proton = 1 . 67262 10- 27 kg , and m neutron = 1 . 67493 10- 27 kg . Note that the neutron has no charge. By conservation of energy K = q V = ( 1 . 60218 10- 19 C ) (2260 V) = 3 . 62092 10- 16 J . 002 (part 2 of 2) 6 points How fast is it going if it starts from rest? Correct answer: 465116 m / s. Explanation: The speed of the deuteron may be deter- mined from 1 2 ( m proton + m neutron ) v 2 = K Solving for v , v = s 2( K ) m proton + m neutron = s 2 (3 . 62092 10- 16 J) 1 . 67262 10- 27 kg + 1 . 67493 10- 27 kg = 465116 m / s . keywords: 003 (part 1 of 1) 7 points Note: The force of gravity does not enter into this problem. A charged particle is connected to a string that is is tied to the pivot point P . The particle, string, and pivot point all lie on a horizontal table (consequently the figure below is viewed from above the table). The particle is initially released from rest when the string makes an angle 59...
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