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

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SUMMARY

The discussion centers on calculating the tension in a system of two bodies, A (4.0 kg) and B (8.0 kg), connected by a non-extensible string on a frictionless surface, under the influence of an 18.0 N force. The correct tension in the string is established as 12 N. The key to solving this problem lies in determining the common acceleration of the two masses, which is derived from Newton's second law.

PREREQUISITES
  • Understanding of Newton's second law of motion
  • Basic knowledge of tension in strings and forces
  • Ability to calculate acceleration from net force and mass
  • Familiarity with frictionless surfaces in physics problems
NEXT STEPS
  • Calculate acceleration using the formula: a = F/m, where F is the net force and m is the total mass
  • Explore tension calculations in systems with multiple bodies
  • Review concepts of non-extensible strings in physics
  • Study examples of frictionless surface dynamics in classical mechanics
USEFUL FOR

Students studying physics, particularly those focusing on mechanics, as well as educators seeking to clarify concepts related to tension and forces in multi-body systems.

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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.
 
Physics news on Phys.org
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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