A Dinner Plate Falls Vertically to the Floor and Breaks

Multiple Choice

A dinner plate falls vertically to the floor and breaks up into three pieces, which slide horizontally along the floor. Immediately after the impact, a 200-g piece moves along the +x -axis with a speed of 2.00 m/s, a 235-g piece moves along the +y -axis with a speed of 1.50 m/s. The third piece has a mass of 100 g. What is the speed of the third piece?

A) 2.57 m/s
B) 6.83 m/s
C) 5.33 m/s
D) 3.50 m/s
E) 2.51 m/s