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

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The problem involves three blocks on a frictionless table connected by strings and subjected to a pulling force of 60N. The masses of the blocks are 10kg, 20kg, and 30kg, and the goal is to determine the tensions T1 and T2. The initial answers provided were T1 = 10N and T2 = 30N, but clarification is sought on their correctness. The discussion emphasizes that tensions within the system can be ignored, while those at the system boundary can be solved for. Understanding this distinction is crucial for accurately solving the problem.
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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
 
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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.
 

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