A small object of mass m slides down a wedge of mass 2m and exits smoothly onto a frictionless table. The wedge is initially at rest on the table. If the object is initially at rest at a height h above the table, find the velocity of the wedge when the object leaves it.
The Attempt at a Solution
So far, I know that the velocity of mass m is (2gh)^.5, but I'm not sure how to find the speed of the wedge while it's sliding down. At first I tried to set m(2gh)^.5 = (2m)v, but that doesn't give me the right answer. Any help would be appreciated!