Acceleration of the system and the tension T in the string

AI Thread Summary
The problem involves two masses, m1 and m2, connected by a string on a frictionless surface, with a force F applied to one mass. The acceleration of the system is calculated as a = F/(m1 + m2). For the tension T in the string, it is derived as T = m1a, leading to T = Fm1/(m1 + m2). There is some uncertainty regarding the tension calculation, particularly about the forces acting on m2. The discussion emphasizes the need for clarity in understanding how the forces affect both masses.
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Homework Statement


Two masses m1 and m2 situated on a frictionless, horizontal surface are connected by a light string. A force F is exerted on one of the masses to the right. Determine the acceleration of the system and the tension T in the string.


Homework Equations


F=ma


The Attempt at a Solution


I got a=F/(m1+m2). I think that is right. For the tension part, I got a little bit stuck. I finally got T=m1a because it is just moving m1. So T=Fm1/(m1+m2). Is this right? I don't think it is.
 
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I think that's right
 


I sounds correct to me, too. I am assuming that m2 is experiencing the force, and m1 is following m2.
 

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