Finding the tension of a string with 2 blocks attached.

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SUMMARY

The discussion focuses on calculating the tension in a two-block system connected by strings, each weighing 2 kg. The acceleration of the system is determined to be 0.5 m/s², using the formula Vf = Vo + at. By applying Newton's Second Law, the tensions in the strings are derived from the equations T1 - T2 - mg = ma for the first block and T2 - mg = ma for the second block. The combined equations lead to the conclusion that 2m*a = T1 - 2mg, allowing for the calculation of T2 directly.

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Homework Statement


There is a string hanging down with a 2 kg block attached, at the bottom of this block is another string attached holding another 2 kg block. This has begun to accelerate. The given time is .7 s for acceleration, and the given velocity it reaches is .35.
I have to find the tensions of both the strings, and I am not exactly how to/what formulas to use.

So far I have calculated the acceleration to = .5 m/s2 though.
But I do not know how to use it.
 
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Calculate the acceleration using Vf = Vo + at then,

Consider the 2 block system as a one block system, calculate the tension.

(Hint: Newtons 2nd Law)

Then define the 2 separate tensions accordingly.
 
First body: m*a=sum of all forces acting on it=T1-T2-mg
Second body m*a=T2-mg

Adding the two equations gives 2m*a=T1-2mg
T2 can be solved directly.

Edit: sorry Jeques, simultaneous post. I'm happy for the help and will say good night!
 

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