Calculating Net Force on Boxes of Different Masses in Contact

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SUMMARY

The discussion centers on calculating the net force experienced by two boxes in contact, where Box H has twice the mass of Box G. When a horizontal force F is applied to Box G, the net force on Box H is determined to be 2/3F. The correct approach involves using the equation F = ma to find the combined acceleration of both boxes, leading to the conclusion that the net force on Box H is derived from the total mass of the system.

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  • Understanding of Newton's Second Law (F = ma)
  • Basic knowledge of mass and acceleration concepts
  • Ability to set up equations for systems of objects
  • Familiarity with the concept of net force in physics
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  • Learn about the implications of mass ratios on force distribution
  • Explore examples of frictionless surfaces in physics problems
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Homework Statement


Two boxes full of books are in contact with each other on a smooth table. Box H has twice the mass of Box G. If you push on box G with a horizontal force F, then box H will expereince a net force of?


Homework Equations



F =ma

The Attempt at a Solution


answer from answer key is 2/3F


I though since the mass of H is twice of G, the F needed will be 2F... but I am wrong.. Please help with the question! Thank You
 
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First you need to find the acceleration of both blocks combined. If you call box H = 2G then you can write an equation F= (G + 2G) a.

Solve this for a = F/3G. Now consider the net force on box H to make it accelerate with an acceleration of F/3G. FH = 2G * F/3G
 
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Thank You so much! You are very helpful!
 

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