You are a member of an alpine rescue team and must get a box of supplies, with m

Question

You are a member of an alpine rescue team and must get a box of supplies, with mass 2.70kg , up an incline of constant slope angle 30.0 degrees so that it reaches a stranded skier who is a vertical distance 2.60m above the bottom of the incline. There is some friction present; the kinetic coefficient of friction is 6.00×10-2. Since you can't walk up the incline, you give the box a push that gives it an initial velocity; then the box slides up the incline, slowing down under the forces of friction and gravity. Take acceleration due to gravity to be 9.81m/s^2 .
Use the work-energy theorem to calculate the minimum speed that you must give the box at the bottom of the incline so that it will reach the skier.

Explanation / Answer

d = 2.6/sin30° = 5.2 m Ff = µ*mg*cos30° = 1.5895 N Ef = Ff*d = 5.709 J ½mv² = mgy + 5.709 ? v = v(2.7*9.81*2.6 + 5.709) = 8.635 m/s

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