A 45.0-kg body is moving in the direction of the positive x axis with a speed of 217 m/s when, owing to an internal explosion, it breaks into three pieces. One part, whose mass is 6.0 kg, moves away from the point of explosion with a speed of 349 m/s along the positive y axis. A second fragment, whose mass is 2.5 kg, moves away from the point of explosion with a speed of 346 m/s along the negative x axis. What is the speed of the third fragment? Ignore effects due to gravity. I noticed right away that there might be components, so I came up with this: X direction: 45*217=2.5*-346+36.5x x=291.23 Y direction: 45*217=6.0*349+36.5y y=210.15 then i plugged those two values into the pythagorean theorem. I get 359.14 m/s, however the computer says I'm wrong. Could someone help me?