Finding Acceleration: Mass Ratio & Force Applied to Particles

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SUMMARY

The discussion centers on applying Newton's second law, F=ma, to determine the acceleration of two glued particles under a common force. Given that particle m1 accelerates at 20 m/s² and particle m2 at 30 m/s², the relationship between their masses can be established as m2/m1 = a2/a1. However, the correct approach involves using the same force for both particles to derive their combined acceleration when glued together. The solution requires recognizing that the total mass affects the acceleration when the same force is applied.

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Homework Statement


A certain Force applied to a particle of m1 gives it an acceleration of 20m/s2. The same Force applied to a particle of m2 gives it an acceleration of 30m/s2. If the two particles are glued together and the same force is applied to the combination, find the acceleration.

Homework Equations


F=ma

The Attempt at a Solution


m2/m1=a2/a1 would be helpful if a mass was given. No idea how to set up this problem.
 
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SalsaOnMyTaco said:

Homework Statement


A certain Force applied to a particle of m1 gives it an acceleration of 20m/s2. The same Force applied to a particle of m2 gives it an acceleration of 30m/s2. If the two particles are glued together and the same force is applied to the combination, find the acceleration.

Homework Equations


F=ma

The Attempt at a Solution


m2/m1=a2/a1 would be helpful if a mass was given. No idea how to set up this problem.
Have you learned that acceleration is directly proportional to force, and inversely proportional to mass ?
 
Yes, when mass increases, acceleration decreases/Mass decreases, acceleration increases.
 
SalsaOnMyTaco said:
Yes, when mass increases, acceleration decreases/Mass decreases, acceleration increases.

So, m2/m1=a2/a1 is incorrect.

Why not use F = ma for each particle:

The force is the same for each particle. That should give you a correct relation among m2, m1, a2, and a1 .
 

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