How to find Friction Force and Coefficient of Friction?

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SUMMARY

The discussion focuses on calculating the friction force and coefficient of friction for a 15 kg block sliding up a 20-degree incline under a horizontal force of 200 N with an acceleration of 25 cm/s². The calculated friction force is 134 N, and the coefficient of friction is determined to be 0.65. The user initially miscalculated the coefficient of friction using incorrect values, leading to confusion regarding the normal force and friction force equations.

PREREQUISITES
  • Understanding of Newton's Second Law of Motion
  • Knowledge of forces acting on an inclined plane
  • Familiarity with the equations of motion
  • Basic grasp of friction force calculations
NEXT STEPS
  • Review the derivation of forces on inclined planes
  • Study the relationship between normal force and friction force
  • Learn about the implications of different coefficients of friction
  • Practice problems involving friction on inclines with varying angles
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Students studying physics, particularly those focusing on mechanics, as well as educators looking for examples of friction force calculations in real-world scenarios.

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Homework Statement



A horizontal force of 200 n is required to cause a 15 kg block to slide up a 20degree incline with acceleration of 25 cm/s^2. Find the friction force on the block and the coefficient of friction.
ANSWERS:
Friction force = 134N
Coefficient of Friction = 0.65

Homework Equations


Ff = u Fn

The Attempt at a Solution


I can't figure out where to begin.
I'm not sure if it's relevant, but I found:
Fg to be 147.15 N
horizontal component to be 50.33 N
Vertical component to be 138.28N
 
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Part one:
Fgcos(20) - Ff = ma
138.28N - Ff = 15 x .25m/s^2
138.28N - Ff = 3.75
-138.28 -138.28
-Ff=-134.53
Ff=134.53N
(Hopefully this is correct?)

Part 2:
Ff = u Fn
u = Ff / Fn
u = 134.53N / 138.28N
u = .97

But the answer should be .65.
What am I doing wrong? The normal force should be 138.28 because 147.15cos(20) is 138.28, right?
Ugh, this is too confusing. Please help!
 

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