A small explosive charge is placed in a rubber block resting on a smooth surface. when the charge is detonated, the block breaks into three pieces. a 200 g piece travels at 1.4 m/s, and a 300 g piece travels at 0.90 m/s. The third piece flies off at a speed of 1.8 m/s. If the angle between the first two pieces is 80 degrees, calculate the mass and direction of the third piece. Assume two significant digits