Newton's second law:

$\overline{){\mathbf{\Sigma}}{\mathbf{F}}{\mathbf{=}}{\mathbf{m}}{\mathbf{a}}}$

A block with mass m_{1 }= 7.1 kg rests on the surface of a horizontal table which has a coefficient of kinetic friction of μ_{k} = 0.52. A second block with a mass m_{2} = 12 kg is connected to the first by an ideal pulley system such that the second block is hanging vertically. The second block is released and motion occurs.

(a) Using the variable *T* to represent tension, write an expression for the sum of the forces in the y-direction, Σ*F _{y}*, for block 2.

(b) Using the variable *T* to represent tension, write an expression for the sum of the forces in the x-direction, Σ*F _{x}* for block 1.

(c) Write an expression for the magnitude of the acceleration of block 2, *a _{2}*, in terms of the acceleration of block 1,

(d) Write an expression using the variables provided for the magnitude of the tension force, *T*.

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