(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

A car with a speed of 40.0 km/h approaches the bottom of an icy hill. The hill has an angle of inclination of 10.5 degrees. The driver applies the brakes, which makes the car skid up the hill. If the coefficient of kinetic friction between the ice and the tires if 0.153, how high, measured along the incline, is the car on the hill when it comes to rest?

2. Relevant equations

F=ma. . .and. . .eventually kinematics?

3. The attempt at a solution

Wy= Wsin(theta)--> mgsin(theta)

Wx= Wcos(theta)--> mgcos(theta)

Y: N-mgsin(theta) = 0 (there is no y acceleration?)

N= mg sin(theta)

X: N(mu) - mgcos(theta) = ma

mgsin(theta)mu-mgcos(theta)=ma

--> m cancels out-->

gsin(theta)mu-gcos(theta)=a

Where can I go from here? What I have I done wrong? :( Thank you in advance!

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# End position of braking car on an icy incline

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