Solving for Tensions: Three Block System on Frictionless Table | F=ma Method

[CaptainSFS]

Homework Statement

http://pyrofool.googlepages.com/lab2.gif

Three blocks on a horizontal frictionless table are connected with strings as shown below. The three blocks are pulled to the right with a force T3 = 60N. If m1 = 10kg, m2 = 20kg, and m3 = 30kg, find the tensions T1 and T2.

Homework Equations

FBD and F=ma

The Attempt at a Solution

I'm just wondering if these are the correct answers. If not could someone explain why, and how I would find the correct answers. Thanks

T1= 10N
T2= 30N

 

[lightgrav]

they're okay.

this was assigned so you'd see that tensions "within the system" can be ignored,
while tensions that are "cut by the system boundary" can actually be solved for.