Solve Force on Wheaties Box from Cheerios Box: Mass, Friction, & Force

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SUMMARY

The discussion focuses on calculating the force exerted on a Wheaties box by a Cheerios box when both are subjected to horizontal acceleration. Given the masses of the boxes (Cheerios: 1.1 kg, Wheaties: 2.9 kg) and their respective frictional forces (Cheerios: 2.0 N, Wheaties: 3.5 N), the applied force (F = 12 N) is analyzed. The solution involves applying Newton's Second Law (F = ma) and drawing free body diagrams to establish the relationship between the forces acting on both boxes.

PREREQUISITES
  • Understanding of Newton's Second Law (F = ma)
  • Knowledge of frictional force equations (Fs,max=UsFn, fk=UkFn)
  • Ability to draw and interpret free body diagrams
  • Basic concepts of mass and acceleration
NEXT STEPS
  • Study the application of Newton's Second Law in multi-body systems
  • Learn how to calculate net forces using free body diagrams
  • Explore the concepts of static and kinetic friction in detail
  • Practice problems involving forces on inclined planes and horizontal surfaces
USEFUL FOR

This discussion is beneficial for physics students, educators, and anyone interested in understanding the dynamics of forces in multi-object systems.

mcg5132
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Homework Statement


A box of Cheerios (mass mC = 1.1 kg) and a box of Wheaties (mass mW = 2.9 kg) are accelerated across a horizontal surface by a horizontal force applied to the Cheerios box. The magnitude of the frictional force on the Cheerios box is 2.0 N, and the magnitude of the frictional force on the Wheaties box is 3.5 N. If the magnitude of F is 12 N, what is the magnitude of the force on the Wheaties box from the Cheerios box?



Homework Equations


Fs,max=UsFn
fk=UkFn
F=ma
Fn=mg

The Attempt at a Solution


I'm not entirely sure how to set up this equation, I know F= m1(Ff)-m2(Ff) ... ? Or something along those lines. I'm not sure where to begin really.
 
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Draw a free body diagram of two-box system and put in all the forces that you know are there. Use Newton's Second Law to find the acceleration. Then draw a free body diagram of just the Wheaties box.
 

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