A Small Bomb, of Mass 10

Multiple Choice

A small bomb, of mass 10. kg, is moving toward the North with a velocity of 5.0 m/s. It explodes into three fragments: a 5.0 kg fragment moving West with a speed of 8.0 m/s; a 4.0 kg fragment moving East with a speed of 10. m/s; and a third fragment with a mass of 1.0 kg. What is the velocity of the third fragment? (Neglect air friction.)

A) 40 m/s North
B) zero
C) 50.m/s North
D) 4.0 m/s North
E) 5.0 m/s South