You are a member of an Alpine Rescue Team and must project a box of supplies up an incline of constant slope angle
exttip{alpha }{alpha} so that it reaches a stranded skier who is a vertical distance
exttip{h}{h} above the bottom of the incline. The incline is slippery, but there is some friction present, with kinetic friction coefficient
exttip{mu _{
m k}}{mu_k}.
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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 exttip{g}{g}, exttip{h}{h}, exttip{mu _{
m k}}{mu_k}, and exttip{alpha }{alpha}.