Calculating Coefficients of Friction for a Sliding Book

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SUMMARY

The coefficients of static and kinetic friction for a 1.55 kg book on a tabletop can be calculated using the forces required to initiate and maintain motion. It takes 2.50 N to start sliding the book, indicating the static friction force, and 1.50 N to keep it moving, indicating the kinetic friction force. The static friction coefficient (μs) is determined by the formula μs = F_static / F_normal, while the kinetic friction coefficient (μk) is μk = F_kinetic / F_normal. Given the normal force equals the weight of the book (approximately 15.19 N), the coefficients are μs = 0.164 and μk = 0.098.

PREREQUISITES
  • Understanding of Newton's laws of motion
  • Familiarity with the concepts of static and kinetic friction
  • Ability to perform basic algebraic calculations
  • Knowledge of the formula for friction force: F_friction = μ * F_normal
NEXT STEPS
  • Study the derivation of the friction force formula in physics textbooks
  • Learn about the factors affecting friction coefficients in different materials
  • Explore real-world applications of friction in engineering and design
  • Investigate advanced topics such as friction in non-ideal conditions
USEFUL FOR

Students in physics, educators teaching mechanics, and anyone interested in understanding the principles of friction in practical scenarios.

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Homework Statement



When you push a 1.55 kg book resting on a tabletop it takes 2.50 N to start the book sliding. Once it is sliding, however, it takes only 1.50 N to keep the book moving with constant speed. What are the coefficients of static and kinetic friction between the book and the tabletop?

Homework Equations



Force of static/kinetic friction= "mu" (looks like a u with a tail in the front) * normal force

The Attempt at a Solution

 
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Welcome to PF!
Look at the bottom of my post; you'll see "μ" and some other symbols you can copy and paste into a post. There are more of them here:
https://www.physicsforums.com/blog.php?b=346

I can't help you much until you attempt the problem. Can you at least write out the formula for friction force? It will have the μ in it, so solve for that. See if you can calculate the other unknowns in the formula. Let us know what trouble you have and we'll be glad to help.
 
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