Homework 7 Solutions

Homework 7 Solutions - h ic e8 e k# 7 i b iC a aha 7...

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Unformatted text preview: h ic e8 e k# 7 i b iC a aha 7 Problem 28 ( a ): The force is in the x-direction, but the proton moves in the y-direction. As these are perpendicular, the work done is 0. ( b ): This path is in the x-direction, so the work is W = integraldisplay . 30 . 10 F dx = integraldisplay . 30 . 10- x 2 dx =- x 3 3 vextendsingle vextendsingle vextendsingle vextendsingle . 30 . 10 =- . 10 J . ( c ): The path is same as in part ( b ), only backwards. Thus the work done is 0 . 10 J. ( d ): The force is conservative. If we take U = x 3 3 , then we find that the force is F =- U x - U y - U z k =- x 2 . 7 Problem 32: The force is F =- dU dx =- d dx (- C 6 x- 6 ) =- 6 C 6 x- 7 . This is an attractive force. 7 Problem 37 ( a ): The force is F ( r ) =- dU dr =- d dr parenleftbigg a r 12- b r 6 parenrightbigg = 12 a r 13- 6 b r 7 ....
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Homework 7 Solutions - h ic e8 e k# 7 i b iC a aha 7...

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