69. Work and Potential Energy in 3D Space

69. Work and Potential Energy in 3D Space - ( ~ r ) =-Z ~ r...

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Work and Potential Energy in 3D Space Consider a particle acted on by a force ~ F as it moves along a specific path in 3D space. Force: ~ F = F x ˆ i + F y ˆ j + F z ˆ k Displacement: d~ s = dx ˆ i + dy ˆ j + dz ˆ k Work: W if = Z ~ r f ~ r i ~ F · d~ s = Z x f x i F x dx + Z y f y i F y dy + Z z f z i F z dz Potential energy: U
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Unformatted text preview: ( ~ r ) =-Z ~ r ~ r ~ F d~ s =-Z x x F x dx-Z y y F y dy-Z z z F z dz Note: The work done by a conservative force is path-independent. F ds z y f i tsl69 p.1/1...
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This note was uploaded on 04/30/2008 for the course PHYS 204 taught by Professor Andrevantonder during the Spring '07 term at Rhode Island.

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