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# hw1sols - MasteringPhysics 1:46 PM Assignment Display Mode...

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2/27/08 1:46 PM MasteringPhysics Page 1 of 17 http://session.masteringphysics.com/myct Assignment Display Mode: View Printable Answers Physics 202 Assignment 1 Due at 11:00pm on Wednesday, January 30, 2008 View Grading Details Coulomb's Law Tutorial Description: Use Coulomb's law to compute the (vector) force between two, and subsequently multiple, electric charges (both positive and negative). One charge acts at an angle of pi/4 radians relative to the given coordinate axes, and thus trigonometry is required to solve the problem. Learning Goal: To understand how to calculate forces between charged particles, particularly the dependence on the sign of the charges and the distance between them. Coulomb's law describes the force that two charged particles exert on each other (by Newton's third law, those two forces must be equal and opposite). The force exerted by particle 2 (with charge ) on particle 1 (with charge ) is proportional to the charge of each particle and inversely proportional to the square of the distance between them: , where and is the unit vector pointing from particle 2 to particle 1. The force vector will be parallel or antiparallel to the direction of , parallel if the product and antiparallel if ; the force is attractive if the charges are of opposite sign and repulsive if the charges are of the same sign. Part A Consider two positively charged particles, one of charge (particle 0) fixed at the origin, and another of charge (particle 1) fixed on the y -axis at . What is the net force on particle 0 due to particle 1? Express your answer (a vector) using any or all of , , , , , , and . ANSWER: = Part B [ Print ]

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2/27/08 1:46 PM MasteringPhysics Page 2 of 17 http://session.masteringphysics.com/myct Now add a third, negatively charged, particle, whose charge is (particle 2). Particle 2 fixed on the y -axis at position . What is the new net force on particle 0, from particle 1 and particle 2? Express your answer (a vector) using any or all of , , , , , , , , and . ANSWER: = Part C Particle 0 experiences a repulsion from particle 1 and an attraction toward particle 2. For certain values of and , the repulsion and attraction should balance each other, resulting in no net force. For what ratio is there no net force on particle 0? Express your answer in terms of any or all of the following variables: , , , . ANSWER: = Part D Now add a fourth charged particle, particle 3, with positive charge , fixed in the yz -plane at . What is the net force on particle 0 due solely to this charge? Part D.1 Find the magnitude of force from particle 3 What is the magnitude of the force on particle 0 from particle 3, fixed at ? Hint D.1.a Distance to particle 3
2/27/08 1:46 PM MasteringPhysics Page 3 of 17 http://session.masteringphysics.com/myct Use the Pythagorean theorem to find the straight line distance between the origin and .

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hw1sols - MasteringPhysics 1:46 PM Assignment Display Mode...

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