Force required to move a book sandwiched between a hand and a table

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SUMMARY

The discussion focuses on calculating the horizontal force required to move a book on a table while considering the coefficients of kinetic friction. The coefficients provided are 0.50 for the hand-to-book interaction and 0.45 for the table-to-book interaction. The book's mass is 0.98 kg, and a downward force of 9.30 N is applied. The normal force calculated is 4.32 N, and it is established that the friction force equals the pushing force when the book moves at constant velocity.

PREREQUISITES
  • Understanding of Newton's second law (F=ma)
  • Knowledge of kinetic friction coefficients
  • Ability to calculate normal force
  • Familiarity with free body diagrams
NEXT STEPS
  • Calculate the total friction force using the normal force and the coefficient of kinetic friction.
  • Explore the relationship between applied force and friction in constant velocity scenarios.
  • Learn about free body diagram techniques for analyzing forces in physics problems.
  • Investigate the effects of varying mass and friction coefficients on force calculations.
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Students studying physics, particularly those focusing on mechanics and force analysis, as well as educators looking for practical examples of friction and motion.

abhisheknaik
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Homework Statement



You place a book flat on a table and press down on it with your right hand. The hand-to-book and table-to-book coefficients of kinetic friction are 0.50 and 0.45 respectively. The book's mass is 0.98 kg and your downward push on it is 9.30 N. Now, you use your left hand to push the book along the table at constant speed. Assuming that your right hand is stationary with respect to the table, what is the horizontal force exerted on the book by your left hand?


Homework Equations



F=ma

The Attempt at a Solution



I found the normal force between the book and the table: 0.45 x 0.98 x 9.8 = 4.32 N.

I don't know what to do with the 9.30 N and 0.50 coefficient!
 
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Easiest way to tackle these problems is by drawing a free body diagram and analyzing the forces.

I'm going to assume that the force you ask about is when the book is moving at a constant velocity.

The friction force is equal to the hand-pushing-force if the book is moving at constant vel.

So find the friction force between the book and the table..
 

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