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## Homework Statement

Sam, whose mass is 75 kg, stands at the top of a 12-m-high, 100-m-long snow-covered slope. His skis have a coefficient of kinetic friction on snow of 0.07. If he uses his poles to get started, then glides down, what is his speed at the bottom?

## Homework Equations

v = √(2g(h-μ

_{k}√(L

^{2}-h

^{2})))

## The Attempt at a Solution

It

*seems*as simple as plugging in the values into the equation, but my result isn't anywhere near what it should be.

From my understanding:

g = 9.8

h = 12m

L = 100m

μ

_{k}= 0.07

v = √(2(9.8)(12-0.07√(100

^{2}-12

^{2}))) = 152.36

152.36 m/s? That seems a bit much to me. The back of my book says that it is 9.9 m/s, but how do I get there?

What did I mess up on?