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**Three blocks are connected as shown in the uploaded picture. The strings and friction-less pulleys have negligible masses, and the coefficient of kinetic friction between the 2.0 kg block and the table is 0.17. What is the acceleration of the 2.0 kg block?**

## Homework Equations

∑F = ma

## The Attempt at a Solution

So i wrote 3 newton equations:

-μ

_{k}-T

_{1}+T

_{2}= m

_{2}a

T

_{1}-m

_{1}g = m

_{1}a

T

_{2}-m

_{3}g = m

_{3}a

Putting them together I got:

-μ

_{k}m

_{2}g - m

_{1}g + m

_{3}g = a(m

_{2}+ m

_{1}- m

_{3})

and then tried to solve for acceleration. Problem is every time I do it I end up with a 0 in the denominator so I don't know if I'm doing something wrong conceptually or if I am just messing up in my algebra. I'm also not sure if all three of the blocks have the same acceleration. I would think so since they are all on a string.

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