What is the Contact Force between Boxes in a Horizontal Force System?

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Student3.41
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Homework Statement



Three boxes rest side-by-side on a smooth horizontal floor. Their masses are 1.45 kg, 3.10 kg, and 5.20 kg, with the 3.10 kg one in the center. A horizontal force of 24.0 N pushes on the 1.45 kg mass which pushes against the other two masses. What is the contact force between the 3.10 kg and 5.20 kg boxes?


Homework Equations



F=ma

The Attempt at a Solution

 
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Student3.41 said:

Homework Statement



Three boxes rest side-by-side on a smooth horizontal floor. Their masses are 1.45 kg, 3.10 kg, and 5.20 kg, with the 3.10 kg one in the center. A horizontal force of 24.0 N pushes on the 1.45 kg mass which pushes against the other two masses. What is the contact force between the 3.10 kg and 5.20 kg boxes?


Homework Equations



F=ma

The Attempt at a Solution

It's F_net = ma. Please show an attempt to find the acceleration of the 3 blocks as they move together. Then go from there.

Welcome to PF!
 
PhanthomJay said:
It's F_net = ma. Please show an attempt to find the acceleration of the 3 blocks as they move together. Then go from there.

Welcome to PF!

Ok, well I calculated the Total Mass = 9.75kg, then used the formula F=ma -> 24.0N/9.75kg=2.47m/s^2. I got the acceleration, i then used the same formula to find the original force on M1 = 3.57N, then M1 on M2 = 7.63N which I assumed added together F_2-3=7.63+ -3.57 = 4.06N
 
Student3.41 said:
Ok, well I calculated the Total Mass = 9.75kg, then used the formula F=ma -> 24.0N/9.75kg=2.47m/s^2. I got the acceleration,
this is correct
i then used the same formula to find the original force on M1 = 3.57N,
that's the NET force on M1
then M1 on M2 = 7.63N which I assumed added together F_2-3=7.63+ -3.57 = 4.06N
You are not drawing Free Body Diagrams (FBD's). Look at block 3, the 5.2 kg block. Isolate it from the rest of the blocks and determine the forces acting on it in the x direction. There is only one force acting on it, the contact force from the middle block accelerating it forward. Calculate that force using Newton 2.
 
Thank You, I ended up figuring it out with a FBD.