Two objects with masses 5.50 and 3.00 hang 0.500 above the floor from the ends of a cord 5.70 long passing over a frictionless pulley. Both objects start from rest.

Question

Find the maximum height reached by the 3.00 object

Answer 1

When the heavier mass hits the floor, the lighter mass will have risen 0.5 m (?) and then be 1.0 meters (?) above the floor. Then it will stop.

There is no need to consider the dynamics here. The values for the masses don't matter, and neither does the length of the cord.

You must provide dimensions with your numbers in physics problems. I assumed that your distancs are meters.