A body is displaced from (0, 0) to (4m, 4m) along thepath x = y by a force ~F = (4yˆi+x2ˆj) N.Estimate the work done by this force on the body.
Question
Solution 1
The work done by a force is given by the line integral of the force along the path of the displacement. In this case, the force is given by F = (4y, x^2) and the path is x = y from (0,0) to (4,4).
The work done, W, is given by:
W = ∫ F . dr
where F is the force, dr is the differential displacem Knowee AI is a powerful AI-powered study tool designed to help you to solve study problem.
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