A box with mass 1.74 kg is being pulled across a rough surface at a constant speed with a coefficient of kinetic friction µk = 0.366. The pulling force has a magnitude of 11.2 N and is directed at an angle 32.8 degrees above horizontal. If the box is dragged a distance of 10.3 m, what is the total energy lost to friction? (Hint: be sure to account for the upward component of the pulling force, and note that the energy lost to friction is being compensated for by the work added by the pulling force).
Concept - first find the frictional force acting on the block and use the magnitude of fiction force to find the energy lost using the displacement as shown below
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