Acceleration of the system and the tension T in the string

[blackboy]

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.

 

[songoku]

I think that's right

 

[turin]

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