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