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Question 7.10: A coin slides over a frictionless plane and across an xy coo......

A coin slides over a frictionless plane and across an xy coordinate system from the origin to a point with xy coordinates (3.0 m, 4.0 m) while a constant force acts on it. The force has magnitude 2.0 N and is directed at a counterclockwise angle of 100° from the positive direction of the x axis. How much work is done by the force on the coin during the displacement?

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Equation 7-8 readily yields

W=\vec{F}\cdot \vec{d}          (work done by a constant force),            (7-8)

W=F_x \Delta x+F_y \Delta y=(2.0 \,N ) \cos \left(100^{\circ}\right)(3.0 \,m )+(2.0\, N ) \sin \left(100^{\circ}\right)(4.0 \,m )=6.8\, J.

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