A Plate Falls Vertically to the Floor and Breaks Up

Multiple Choice

A plate falls vertically to the floor and breaks up into three pieces, which slide 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 its speed?

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