Calculating Net Force on Boxes of Different Masses in Contact

AI Thread Summary
When two boxes, H and G, are in contact on a smooth table, and box H has twice the mass of box G, applying a horizontal force F to box G results in a net force on box H of 2/3F. To find this, one must first calculate the combined mass of both boxes, which is 3G. Using the equation F = ma, the acceleration can be determined, leading to the conclusion that box H experiences a net force proportional to the applied force on box G. The misunderstanding arose from incorrectly assuming that box H would require a force of 2F due to its greater mass. Understanding the relationship between mass, acceleration, and net force is crucial in solving such 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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