# Skier down a slope problem

## Homework Statement

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.

Fnet=ma

## 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?

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Delphi51
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a = -mu_k*g*cosθ + gsinθ
a = (.060)(9.8)cos15 + 9.8sin15