problem06_p100

# University Physics with Modern Physics with Mastering Physics (11th Edition)

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6.100: Use the Work–Energy Theorem, , KE W = and integrate to find the work. - - = - = x dx μ W mv KE 0 2 0 . ) cos mg sin mg ( and 2 1 0 α α Then, + - = + - = x x x W dx x W 0 2 . cos 2 A sin mg , ) cos A sin ( mg α α α α Set . KE W = . cos 2 A sin mg 2 1 2 2 0 + - = - α α x x mv To eliminate x , note that the box comes to a rest when the force of static friction balances the component of the weight directed down the plane. So, ; cos mg A sin mg α = α x solve this for x and substitute into the previous equation.
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• NoProfessor
• Force, Sin, Cos, cos cos, Ax mg cos

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