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

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To find the coefficient of friction using potential energy, start with the equation that relates gravitational potential energy to kinetic energy and frictional force. The formula provided is gh = v^2 + Ucos(Angle) * d * g, where U is the coefficient of friction. Calculate the frictional force (FR) using the equation 1/2 mv^2 + FR * d = mgh. Once you determine FR, relate it to the coefficient of friction by using the formula FR = U * N, where N is the normal force. This approach will help clarify the relationship between potential energy and friction in your homework problem.
hanagasumi
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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!
 
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Just use

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


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


thank you !
 
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