Forces, I want to get the magnitude of the acceleration for the following problem ple

[madinsane]

Question says.
Two objects of mass 2kg each are attached to each other by a massless string. One moves vertically and the other is moving on a frictionless surface horizontally and is being pulled the opposite direction by a force of 10 N at 60 degrees to the horizontal get the acceleration of each object and then get tension

My solution
Total fy for vertical object is
T-mg=ma
For the second I got forces in x direction as 10cos60 -T=ma
I then solved for a and got a negative answer then I substituted that value to get T. But should I have written a as positive? Is my solution correct

 

[pymn_nzr]

you give {a} against the point.
(((One moves vertically))))moves down
your solution is correct

 

[madinsane]

you give {a} against the point.
(((one moves vertically))))moves down
your solution is correct

thanks!