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Homework Help: Horsepower engine is required?

  1. Oct 8, 2008 #1
    1. The problem statement, all variables and given/known data
    A 80kg skier grips a moving rope that is powered by an engine and is pulled at constant speed to the top of a 23*degrees hill. The skier is pulled a distance x = 250m along the incline and it takes 2.1 minutes to reach the top of the hill.
    If the coefficient of kinetic friction between the snow and skis is uk = 0.10, what horsepower engine is required if 30 such skiers (max) are on the rope at one time?

    2. Relevant equations

    P= w/t=mgy/t

    3. The attempt at a solution
    80x9.8xsin23*=306
    Fnuk=Fr
    80x9.8x.1=78.4
    306+78.4=390N

    390x9.8x250/126s=773 W X30 =3.1x10^4hp
     
  2. jcsd
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