Physics 325 Spring 2011 Homework 2

Physics 325 Spring 2011 Homework 2 - Physics 325 Spring...

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Physics 325 Spring 2011 Homework 2A Name: ____________________________ Due: Feb 9, 2011 by 9am (lecture or 325 box) 1. (10 points) For each of the following force functions, determine whether or not it represents a conservative force. If conservative, find the potential energy function U ( x , y , z ) . a) 3 ˆ ˆˆ F yi x j z k b) 2 ˆ F x j z k c) ˆ F xi y j z k d) ˆ 2 (1 6 ) 2 (1 6 ) 2 ) F yz xyz i xz xyz j xy xyz k 2. (10 points) A particle of mass m is moving in three dimensions with its potential energy at any point in space V ( x , y , z ) given by 23 ( , , ) V x y z x y z If its speed is v 0 when it passes through the origin, a) What is its speed if and when its position vector is given by ˆ r i j k    ? b) If the point (1,1,1) is a turning point of the motion ( v = 0), what is v 0 ? c) Write down, without solving, the component differential equations of motion of the particle (i.e. one equation describing each of the x , y , and z motions).
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Physics 325 Spring 2011 Homework 2B Name: ____________________________ Due: Feb 9, 2011 by 9 am
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This note was uploaded on 10/06/2011 for the course PHYS 325 taught by Professor Staff during the Spring '08 term at University of Illinois, Urbana Champaign.

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Physics 325 Spring 2011 Homework 2 - Physics 325 Spring...

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