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 2.10 , up an incline of constant slope angle 30.0 so that it reaches a stranded skier who is a vertical distance 3.40 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 9.81 .

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

we have from work energy theorem, 0 - 0.5mv^2 = -mgh - umgcos(30) x h/sin(30) 0.5 x v^2 = 9.8 x 3.4 + 0.06 x 9.8 cot(30) x 3.4 speed = v = 8.577 m/s

Related Questions

Navigate

• Browse (All)
• Browse Y
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.