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Salacious Crumb
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Homework Statement
I'm looking to the distance (h) a ski jump should be placed from the top of the hill so that a skier with a mass of 85kg will not exceed 30.0m/s. I am given an initial velocity of 2.0m/s and the total work of frictional forces to 4000J
Homework Equations
How can I use total work to determine distance with the variables I'm given? I'm not looking for the answer I just need to be pointed in the right direction here.
The Attempt at a Solution
I used the work-energy theorem W(total) = Kinetic (final) - Kinetic(initial)
Kf = 1/2mv^2 = 1/2 * 85kg * (30.0m/s)^2 = 38250J
Ki = 1/2mv^2 = 1/2 * 85kg * (2m/s)^2 = 170J
Wtotal = 38250 - 170 = 38080J
subtract the frictional energy of 4000J
34080J and this is where I'm stuck. Honestly I don't even know if I'm on the right track.