Incline Skier

  1. 1. The problem statement, all variables and given/known data
    A skier is gliding along at 3m/s on horizontal frictionless snow. He suddenly starts down a 10 degree incline. His speed at the bottom is 15 m/s.
    a) what is the length of the incline?
    b) how long does it take for him to reach the bottom?
    we know:
    Vo=3m/s
    Vf=15m/s
    t=?
    x=?
    a=?

    2. Relevant equations
    V^2=Vo^2 +2ax



    3. The attempt at a solution
    i need help to find what the a is...and why it is that.
     
  2. jcsd
  3. the only force acting on the skier is gravity but since the skier is going down a 10 degree incline gravity is giving him some acceleration but not 100% of it's full foce.

    draw the Free Body Diagram and split up gravity into it's components where the acceleration will be parallel to the incline.
     
  4. okay from my freebody diagram i get sin(10)=9.8/a
    a=56.4
    and that is wrong....if anyone could explain to me how to do it properly please...id greatly appreciate it because i have my exam very soon.
     
  5. it should be 9.8*sin(10). the force acting parallel to the inclined plane is mgsin(theta).
     
Know someone interested in this topic? Share a link to this question via email, Google+, Twitter, or Facebook

Have something to add?