You are a member of an Alpine Rescue Team. You must project a box of supplies up an incline of constant slope angle a so that it reaches a stranded skier who is a vertical distance h above the bottom of the incline. The incline is slippery, but there is some friction present, with kinetic friction coefficient mk. Use the work–energy theorem to calculate the minimum speed you must give the box at the bottom of the incline so that it will reach the skier. Express your answer in terms of g, h, mk, and a.

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You are a member of an Alpine Rescue Team. You must project
a box of supplies up an incline of constant slope angle a so that it
reaches a stranded skier who is a vertical distance h above the bottom
of the incline. The incline is slippery, but there is some friction present,
with kinetic friction coefficient mk. Use the work–energy theorem
to calculate the minimum speed you must give the box at the bottom of
the incline so that it will reach the skier. Express your answer in terms
of g, h, mk, and a.

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