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

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To calculate the speed of a skier at the bottom of a 10m slope, conservation of energy is applied, where the initial kinetic energy and potential energy equals the final kinetic energy. The equation used is KEi + PEi = KEf + PEf, which simplifies as the mass cancels out. The skier's initial speed is 5.0 m/s, and gravitational potential energy is calculated using PE = mgy. By substituting known values, the final speed can be determined without needing the skier's mass. This approach effectively demonstrates the principles of energy conservation in physics.
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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.


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The Attempt at a Solution



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

KEi + PEi = KEf + PEf

Does that help?
 
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
 
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?
 
yes thank you
 

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