Newton's Second Law (Pulley Sustem)

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armn91
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Homework Statement
I am trying to find the solution to the following problem. Could you please let me know if what I have done is correct? Thank you.
Relevant Equations
Newton's Second Law
Two masses, M1=4.0 Kg, and M2=20 Kg, are attached by a rope that crosses over a massless, frictionless pulley. M1 slides horizontally and experiences a kinetic frictional force due to its motion across the surface. The coefficient of kinetic friction is uk = 0.638. When solving the problem, start drawing a FBD for each mass and writing appropriate N1L and N2L equations for each mass. Solve the system of equations for find the acceleration of the masses and the tension of the rope (see figure in document attached).
 
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  • Handwritten free-body diagrams and Newton's second law working for two masses: M1 on a horizontal surface with friction f, and M2 hanging, with the equations and results written below.
    IMG_0289.jpg
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It looks correct to me. For future reference: After you upload a figure click "Insert" + Full image. Full images are easier to read than thumbnails. Also, for "work shown" we prefer equations in LaTeX to photos of handwritten notes. Click "LaTeX Guide", lower left, to learn how to do it.
 
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