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## Homework Statement

An ice skater moving at 10.0 m/s coasts to a halt in 1.0 x 10^2 m on a smooth ice surface. What is the coefficient of friction between the ice and the skates?

## Homework Equations

coefficeint of friction = kinetic friction/Normal force

(µk = Fk/Fn)

Σ Fy = may

Σ Fx = max

## The Attempt at a Solution

I've tried many different approaches, using motion equations, and somehow end up confused in all of them. Maybe I picked the wrong equations and this problem is simpler than I'm making, but I'm not sure. I'm having problems with incorporating motion equations with force equations. Here's one of my attempts. Thanks! (I know the answer is 0.051, but I can't get to that number)

My attempt:

⌂x = 100 m

Vi= 10 m/s

Σ Fy = Fn - mg = may

⌂x = .5(Vf + Vi)⌂t

100 = .5(0+10)⌂t

⌂t= 20 s

Vf^2=Vf^2 + 2a⌂x

0=100 + 2a(100)

-100 = 200a

a=-.5

[EDIT] I'm pretty sure I found my mistake! I still would like to see this worked out, but the answer is .051 not .51, sorry I'll change that.

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