Calculating Speed on a 10m High Slope with a Starting Speed of 5.0 m/s

  • Thread starter ghad58@yahoo.
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In summary, the skier is coasting down a 10m high slope with an initial speed of 5.0 m/s. The conservation of energy principle can be used to determine the final speed at the bottom of the slope, where the mass of the skier cancels out of the equation. The final velocity can be solved for using the initial velocity, acceleration due to gravity, and the height of the slope.
  • #1
ghad58@yahoo.
5
0

Homework Statement


A skier coasts down a very smooth, 10m high slope. If the speed of the skier on top of the slope is 5.0 m/s what's the speed at the bottom of the slope.


Homework Equations





The Attempt at a Solution



I have to take gravity into consideration right?
 
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  • #2
I would use conservation of energy

KEi + PEi = KEf + PEf

Does that help?
 
  • #3
I'm sorry but I can't seem to set this problem up, I have been doing this homework for 3 hours and this problem seems so easy. to Pe = mgy, but i have a brain fart on finding mass.
Kinetic - energy of Motion (1/2mv^2). can yo walk me through it please
 
  • #4
You do not need the mass of the skier because it will cancel out of the equation.

1/2mvi^2 + mgy = 1/2mvf^2

The masses cancel out. You then have the initial velocity, the g, the y, and thus you should be able to solve for the final velocity. Now do you get it?
 
  • #5
yes thank you
 

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