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Incline Skier 
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#1
Oct807, 02:19 PM

P: 23

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
Oct807, 02:57 PM

P: 492

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. 


#3
Oct807, 05:22 PM

P: 23

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. 


#4
Oct807, 05:51 PM

P: 492

Incline Skier
it should be 9.8*sin(10). the force acting parallel to the inclined plane is mgsin(theta).



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