Determine the acceleration of the book

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SUMMARY

The discussion centers on calculating the acceleration of a 1.2 kg textbook pushed horizontally with a static friction coefficient of 0.24 and a kinetic friction coefficient of 0.18. The student initially miscalculated the force of kinetic friction (Fk) as 2.16 N, leading to an incorrect acceleration of 1.8 m/s². The correct acceleration, as stated in the textbook, is 0.59 m/s², indicating a misunderstanding of the frictional forces involved. The correct formula to use is F_net = m * a, where F_net accounts for the frictional force opposing the applied force.

PREREQUISITES
  • Understanding of Newton's second law (F_net = m * a)
  • Knowledge of static and kinetic friction coefficients
  • Ability to calculate net force and acceleration
  • Basic algebra for solving equations
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  • Review the concepts of static and kinetic friction in physics
  • Learn how to calculate net force in systems with friction
  • Practice problems involving Newton's laws of motion
  • Explore the implications of friction on motion in real-world scenarios
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Homework Statement



A student pushes horizontally eastward on a 1.2kg textbook initially reasting 1.3m from the edge of a long table. The coefficient os static friction is 0.24 and the coeficient of kinetic friction is 0.18. The force is just large enough to get the book to start moving, and is maintained for 1.0s.

a) Determine the acceleration of the book while the student is applying the push.
b) Calculate the maximum velocity reached by the book.

The Attempt at a Solution



For A: I calculated Fk = 2.16

So since Fn = ma = Fk

a = Fk/m
a= 2.16/1.2
a= 1.8 m/s^2

But it's not the right answer. Can someone point of my mistake.
 
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The answer at the back of the book is 0.59 m/s^2.

What formula would I use the find acceleration. Is it Fn=ma?
 
someone :( I have a test tomorrow!
 

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