Use the work-energy theorem to calculate the minimum speed v that you must give the box at the bottom of the incline so that it will reach the skier. You are a member of an alpine rescue team and must get a box of supplies, with a mass of 2. 50 kg, up an incline of constant slope angle of 30. 0° so that it reaches a stranded skier who is a vertical distance of 3. 50 m above the bottom of the incline. There is some friction present; the kinetic coefficient of friction is 6. 00x102. 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. 81 m/s Express your answer numerically, in meters per second. View Available Hints)
Hint 1. How to approach the problem
Hint 2. Find the total work done on the box
Hint 3. Initial kinetic energy
Hint 4. What is the final kinetic energy?