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Awinch is being used to pull a crate of mass M up a ramp of height h and angle 0. There is friction between the

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Awinch is being used to pull a crate of mass M up a ramp of height h and angle 0. There is friction between the crate and ramp given by the coefcient of kinetic friction pk. The mass moves up the ramp at a constant speed Vm for the entire time of interest here. (It is already moving when it starts up the ramp and it is still moving when it reaches the top of the ramp). Let: M = 10.02 kg, h = 3.14 m, 6 = 22.7 degrees, pk = 0.22, vm = 1.31 m/s How much work does the winch have to do to pull the crate of up the ramp? (You can consider the rope attached to the mass as part of the winch.) Give your answer in Joules to at least three signicant digits

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