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A \(40 \mathrm{kg}\) crate is pushed at constant velocity a distance \(10.0 \mathrm{m}\) along a \(30^{\circ}\) incline by the horizontal force \(\bar{\mathbf{F}}\) . The coefficient of kinetic friction between the crate and the incline is \(\mu_{k} = 0.25\) . Calculate the work done by (a) the applied force, (b) the frictional force, (c) the gravitational force, and (d) the net force.

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