How Do I Find the Coefficient of Friction Using Potential Energy?

[hanagasumi]

Hi, I really need help with my homework!

I had a home work, it is like:
I have a data table, that has

Initial Position: 1.652m from the sensor
Final Position: 0.977m from the sensor

Initial Velocity: 0.003m/s
Final Position: 1.366m/s

Angle: 27 degrees
g = -9.8m/s^2

U represent the variable for coefficient of friction

The question asks me to find the coefficient of friction, by using the formula according to the potential energy, it's like

gh= v^2+ UcosAngle*d*g

I'm so confused! Please help me@!
Thank you in advance!

 

[rock.freak667]

Just use

$$\frac{1}{2}mv^2 + F_R d = mgh$$


and find the frictional force F_R and then see how F_R relates to the coefficient of friction.

 

[hanagasumi]

thank you !