Physics Problem: Tension Calculation for Two Bodies on a Frictionless Surface

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Two bodies, A (4.0 kg) and B (8.0 kg), are connected by a string on a frictionless surface and are acted upon by an 18.0 N force. The goal is to calculate the tension in the string, which is known to be 12 N. To find the tension, the common acceleration of both masses must first be determined. The user is struggling with the calculations and is advised to start by calculating the acceleration using the total mass and the applied force. Understanding the acceleration will help in deriving the tension in the string.
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Homework Statement


There are two bodies, A and B, body A as 4,0 kg and B as 8,0 kg, the bodies are in a horizontal surface, with no friction. Both bodies are connected by a non-extensible string with unknown mass, which doesn't matter to the case.
The bodies are moving under de action of a force which has 18,0N of intensity.
So I have to discover the intensity of the tension, which I happen to know the answer that is 12N, I just can't get there.


Homework Equations


Resulting force=Weight+wheight+Fn+Fn+t+t+Friction+F
I think so...

The Attempt at a Solution


I really don't know how to solve this, I tried several times and searched for some formulas but i can't get 12N....
Sorry about my poor english I'm portuguese.
Please somebody help me.
 
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The two masses move together with the same acceleration under the influence of a single force of 18 N. Can you find the common acceleration of the masses? That will be a good first step.
 
thanks i will try that
 

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