(3) Consider a force given by F = xyâ and the work done by this force on a mass m as the mass moves between points A and B in the diagram. Point A is at (x, y) = (1,0) and Point B at (x, y) = (0, 1/2). (a) Evaluate the work done over path 1. Path 1 follows a straight line from Point A to the origin, then a straight line to Point B (b) Evaluate the work done over path 2. Path 2 follows a straight line from Point A to Point B. (c) Is this force conservative ? (d) What is the potential energy associated with this force ?
(3) Consider a force given by F = xyâ and the work done by this force on a mass m as the mass moves between points A and B in the diagram. Point A is at (x, y) = (1,0) and Point B at (x, y) = (0, 1/2). (a) Evaluate the work done over path 1. Path 1 follows a straight line from Point A to the origin, then a straight line to Point B (b) Evaluate the work done over path 2. Path 2 follows a straight line from Point A to Point B. (c) Is this force conservative ? (d) What is the potential energy associated with this force ?
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The work done by a force on the object is given by
Where = Force vector, = displacement vector
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