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Finding Acceleration

  • #1

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.
 

Answers and Replies

  • #2
SammyS
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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.
Have you learned that acceleration is directly proportional to force, and inversely proportional to mass ?
 
  • #3
Yes, when mass increases, acceleration decreases/Mass decreases, acceleration increases.
 
  • #4
SammyS
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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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