Two masses (m1 = 8.00 kg and m2 = 10.0 kg) are connected by a massless string which runs across a frictionless pulley with a mass of 12.0 kg and a...

 Two masses (m1 = 8.00 kg and m2 = 10.0 kg) are connected by a massless string which runs across a frictionless pulley with a mass of 12.0 kg and a radius of 5.00 cm. The heavier mass is also connected to a spring, which is attached to the ground and has a spring constant of k = 500 N/m. Both masses are initially placed at the same height. When the masses are released, m2 begins to fall and compresses the spring. What is the speed of both blocks when the heavier one has fallen a distance of 3.50 cm?