# Finding max acceleration up a slope with only static friction and kinetic friction

1. Mar 23, 2010

### dazza555

1. The problem statement, all variables and given/known data
A skier is going up a slope of 5 degrees to the horizontal. She is skating so only her skis provide propoltion. The static and kenetic friction coefficients for this situation are $$\mu$$$$_{s}$$=0.12 and $$\mu$$$$_{k}$$=0.07

Find the magnitude of her maximum possible uphill acceleration.

2. Relevant equations
Net force in the y direction is: Normal force - mg cos 5 deg =0
Therefore Normal force = mg cos 5 deg

Max acceleration: F in x /m = a = -mg sin 5 deg + max static friction/m

3. The attempt at a solution
I then put all my numbers in like so:
Max acceleration= -mg*sin 5 deg + 0.12 (mg*cos 5 deg)/m
the m cancels and using 9.8 for g I got

0.32ms$$^{-2}$$