Need help with a Force problem involving friction.

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SUMMARY

The discussion focuses on calculating the coefficients of static and kinetic friction between a box and a plank using physics principles. The student successfully determined the coefficient of static friction as 0.73 when the plank's angle of inclination reached 36 degrees. For kinetic friction, the student initially struggled with the formulas provided, specifically the application of mass in the equations. Ultimately, the student resolved the issue independently, indicating a successful understanding of the concepts involved.

PREREQUISITES
  • Understanding of Newton's laws of motion
  • Familiarity with the concepts of static and kinetic friction
  • Knowledge of basic kinematics equations
  • Ability to manipulate trigonometric functions in physics
NEXT STEPS
  • Review the derivation of the equations for static and kinetic friction
  • Practice problems involving inclined planes and friction
  • Explore the impact of mass on frictional force calculations
  • Learn about the role of acceleration in determining friction coefficients
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Students studying physics, particularly those focusing on mechanics and friction, as well as educators looking for examples of real-world applications of friction concepts.

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A student wants to determine the coefficients of static friction and kinetic friction between a box and a plank. She places the box on the plank and gradually raises one end of the plank. When the angle of inclination with the horizontal reaches 36 degrees, the box starts to slip, and it then slides 2.2 m down the plank in 1.5 s at constant acceleration. What are (a) the coefficient of static friction and (b) the coefficient of kinetic friction between the box and the plank?

I've solved part a for 0.73 as the static friction coefficient, but cannot get b using the formulas the student guide provided. What am I doing wrong?

It suggests using:

mg(sin(theta)) - f = ma

f = ukmgcos(theta)

a = 2d/t^2

Where uk is the variable for the coefficient of kinetic friction. However how can I apply these formulas if the problem does not provide the mass? I tried making the mass negligible (Setting m to 1) but that doesn't produce the right answer. What am I doing wrong?
 
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Sorry, nevermind, I figured it out.
 

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