I've been trying to solve this question for hours now, NEED HELP
You are standing in a shop, holding an expensive vase of mass m. The vase accidentally slips from your hand and falls to the floor. It breaks into three pieces, two of mass 1/4m and one of mass 1/2m. The two pieces of 1/4m slide along the floor with speed v=20 cm/s. If one of these pieces moves east and the other piece moves southeast (i.e. 45 degrees below the +x-axis), what is the velocity (magnitude and direction) of the third piece?
Law of Conservation of Momentum
The Attempt at a Solution
I got 0.14m/s for the velocity which I am pretty sure is right. The direction is what I am unsure about. I did get Northeast 45 degrees above x-axis but I think that is wrong. Any help?