Pulley motion and acceleration

[cdirk11]

A 25 kg block on a table with a pulley attached, slides along a frictionless surface. It is connected by a massless string to a 5.9 kg block hanging straight down off the table. Find the horizontal distance the 25 kg block moves when the 5.9 kg block descends a distance of .102 m. Also find the acceleration of the 25 kg block.

[Pyrrhus]

You could use

Newton's 2nd Law

\sum^{n}_{i=1} \vec{F}_{i} = m \vec{a}

and

W = \Delta K