Block released from spring slides up a ramp

[Wint]

[SOLVED] Block released from spring slides up a ramp

Homework Statement

Homework Equations

I'm thinking conservation of energy:
K₁+U₁+W_Other=K₂+U₂
But really I'm not quite sure where to start here.

The Attempt at a Solution

So far, I've calculated the velocity of the block after it leaves the spring, before it hits the ramp and I get that to be 3.553 m/s². What is tripping me up here is the coefficient of friction, and how to apply that to the block as it travels up the ramp. If I turn the coordinate system so that the x-axis is parallel to the ramp, then we can figure the x component of the velocity to be 3.553*Cos(38) I believe, but I'm not sure if that is useful to me or not.

I think if I could get some confirmation on which direction to take with this that would be very helpful. Thanks!

 

[Wint]

Of course I figured it out after asking.

First I figured out that the F_k = n*.200, or cos(38)*(9.8)*(4)*(.200) = 6.178.

Next I figured out the force due to gravity, F_g = sin(38)*(9.8)*(4) = 24.134.

Add the two together and divide by mass (4kg) to get acceleration of 7.578.

Plug that into v_f² = v_i² + 2ad to get d = .833 or so. Sorry to bother everyone!