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A force F with arrow= (6xi+ 5yj), where F with arrow is in newtons and x...

A force F with arrow= (6xi+ 5yj), where F with arrow is in newtons and x and y are in meters, acts on an object as the object moves in the x direction from the origin to x = 5.32 m. Find the work W = the intergral of F with arrow · dr with arrow done by the force on the object.

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Answer #1

The y component is orthogonal, no work in the vertical direction

Work = integral [ F∙dr ]

Work = 6 * integral x.dx [from 0 to 5.32]

Work = 6 * x2/2 [from 0 to 5.32]

Work = 3 * 5.322

= 84.9 Joules

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