# Skier down a slope problem

1. Oct 26, 2009

### Mirole

1. The problem statement, all variables and given/known data
You, a 75-kg skier, glide straight down a snow-covered slope inclined at 15 degrees to the horizontal over spring break. Let's be realistic, what is your acceleration(magnitude and direction) Assume your skis are wood and the snow is dry. mu_k on snow is 0.060.

2. Relevant equations
Fnet=ma

3. The attempt at a solution
Fx = -fk+mgsin$$\theta$$ = ma
Fy = n = mgcos$$\theta$$

-mu_k*mgcos$$\theta$$ = ma - mgsin$$\theta$$
a = -mu_k*g*cos$$\theta$$ + gsin$$\theta$$
a = (.060)(9.8)cos15 + 9.8sin15
a = 8.22 m/s2

Did I do the first part right? And, how would I find the direction?

2. Oct 26, 2009