Calculating Frictional Force on a Roller Coaster: Solving for Final Velocity

[Claire]

Homework Statement

Ok so there was a question on a physics quiz I did that I have no idea how to answer. There was a roller coaster going down a hill with an initial velocity of 1.67m/s. The hill is 60m long and had an angle of 40 degrees. There is a coefficient of friction of 0.100 with the roller coaster. We had to find the final velocity

Homework Equations

Ff=uFn
F=ma
d=vot + 1/2at2

The Attempt at a Solution

I honestly had no idea what to do for this question. I assume it had something to do with the x and y components of velocity, but I feel like you need mass or acceleration to answer this question and I don't know how to relate velocity to friction.

 

[TomHart]

Can you post your free body diagram please. By the way, welcome to Physics Forums.

 

[TomHart]

Oh, and please show your x and y axes.

 

[haruspex]

something to do with the x and y components of velocity

Not really.

you need mass

When a problem like this does not provide mass, either as a definite value or as an unknown allowed in the answer, it is a fair bet that it does not matter what the mass is. Just create an unknown, m, for it and expect it to cancel out later.

or acceleration

It can be done that way, but you do not need to find the acceleration.
Find the forces, then think about work done.

 

[Claire]

Thank you to everyone who offered to help, I figured out the answer!