(Solution) - A box of mass M is at the bottom of a frictionless inclined -(2025 Original AI-Free Solution)

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A box of mass M is at the bottom of a frictionless inclined plane (Figure). The box is attached to a string that pulls with a constant tension T.
(a) Find the work done by the tension T when the box has moved a distance x along the plane.
(b) Find the speed of the box as a function of x and ?.
(c) Determine the power produced by the tension in the string as a function of x and ?.