Work Consider a particle that moves through the force field from the point to the point

Chapter 15, Problem 87

(choose chapter or problem)

In Exercises 83 - 86, determine whether the statement is true or false. If it is false, explain why or give an example that shows it is false.

Consider a particle that moves through the force field \(\mathbf{F}(x, y)=(y-x) \mathbf{i}+x y \mathbf{j}\) from the point (0, 0) to the point (0, 1) along the curve x = kt(1 - t), y = t. Find the value of k such that the work done by the force field is 1.

Text Transcription:

F(x, y) = (y - x)i + xyj

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