# Problem: Mass mA rests on a smooth horizontal surface, mB hangs vertically.(a) If mA = 11.0 kg and mB = 7.0 kg, determine the magnitude of the acceleration of each block.(b) If initially mA is at rest 1.300 m from the edge of the table, how long does it take to reach the edge of the table if the system is allowed to move freely?

###### FREE Expert Solution

Newton's second law equation:

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

Tension in the cord:

$\overline{){\mathbf{T}}{\mathbf{=}}\frac{{\mathbf{m}}_{\mathbf{A}}{\mathbf{m}}_{\mathbf{B}}\mathbf{g}}{{\mathbf{m}}_{\mathbf{A}}\mathbf{+}{\mathbf{m}}_{\mathbf{B}}}}$

Mass mA rests on a smooth horizontal surface, mB hangs vertically.

T = (11.0)(7.0)(9.8)/(11.0 + 7.0) = 41.92 N

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###### Problem Details

Mass mA rests on a smooth horizontal surface, mB hangs vertically.

(a) If mA = 11.0 kg and mB = 7.0 kg, determine the magnitude of the acceleration of each block.

(b) If initially mA is at rest 1.300 m from the edge of the table, how long does it take to reach the edge of the table if the system is allowed to move freely?