Finding the coefficient of Friction

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SUMMARY

The discussion focuses on calculating the coefficient of friction for a book with a mass of 400 g, which requires understanding the relationship between applied force, friction force, and acceleration. The applied force is 5 N, and the book accelerates at -1.5 m/s², leading to the conclusion that the normal force (FN) is 3.9 N. The net force equation, Fnet = ma, is essential for determining the friction force, which is directly related to the coefficient of friction.

PREREQUISITES
  • Understanding Newton's Second Law (Fnet = ma)
  • Knowledge of normal force calculations (FN = -mg)
  • Friction force formula (F_friction = μ * FN)
  • Basic algebra for solving equations
NEXT STEPS
  • Calculate the coefficient of friction using the formula μ = F_friction / FN
  • Explore the effects of different surface materials on friction coefficients
  • Learn about static vs. kinetic friction and their implications
  • Investigate real-world applications of friction in physics problems
USEFUL FOR

Students studying physics, particularly those focusing on mechanics and friction, as well as educators seeking to explain the concepts of force and motion.

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Homework Statement



A book has a mass of 400 g. When you slided the book against the floor with 5 N, it accelerated at the rate of -1.5 m/s2. What would the coefficient of friction between the book and the floor be?

Homework Equations



F = ma

W = mg

FN = - mg

The Attempt at a Solution


m=.400
fa: 5N
FN= 3.9 N
A: -1.5m/s

Can someone please explain how I should be finding the force of friction?
 
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Your relevant equations should list the friction force formula (as a function of the coefficient of friction and the normal force).
Also, it's not F=ma, it's Fnet = ma, so calculate the net force and from that you can get the friction force.
 

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