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**Solution**: 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}.You may want to review (Page).
For related problem-solving tips and strategies, you may want to view a Video Tutor Solution of Using work and energy to calculate speed.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}.

###### Problem

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}.

You may want to review (Page).

For related problem-solving tips and strategies, you may want to view a Video Tutor Solution of Using work and energy to calculate speed.

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}.