Respuesta :
Answer:
u =0.269
Explanation:
To find the coefficient of friction we know the following formula
[tex]F_{f} = uN[/tex]
Where
[tex]F_{f}[/tex] = Force of Friction
[tex]u[/tex] = Coefficient of Friction
[tex]N[/tex] = Normal Force
Thus we first find the Normal force (N). Remember that the Normal force is perpendicular to the surface, and is equal to the opposing component of Weight (W). Since the surface here is horizontal, then the Normal force will be equal to the Weight.
[tex]N = mg\\ N = (2.12)(9.8)\\ N = 20.776 N[/tex]
Now we find the Force on the spring that caused the extension of 3.25cm or 0.0325m
[tex]F_{f} = ke[/tex]
Where
[tex]F_{f}[/tex] = Force of Friction
[tex]k[/tex] = Force Constant
[tex][/tex] = extension
Hence
[tex]F_{f} = ke\\ F_{f} = (172)(0.0325)\\ F_{f} =5.59N[/tex]
Now to find the coefficient of friction we use the first formula
[tex]F_{f} = uN\\ 5.59 = u(20.776)\\ u =0.269[/tex]