You are a member of an alpine rescue team and must project a box of supplies, with mass 2.40kg, up an incline of constant slope angle 30 so that it reaches a stranded skier who is a vertical distance 2.8m above the bottom of the incline. The incline is slippery, but there is some friction present, with kinetic friction coefficient 6.0x10^-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 9.81 m/s^2. 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.