Explosion — Three PiecesHardQuestion 30519
Question
A body at rest explodes into three equal pieces. Two pieces fly off at right angles to each other at the same speed v. Speed of the third piece is:
- Av
- Bv√2Correct
- C2v
- Dv/√2
Correct answer
v√2
Explanation
Momentum of two pieces: each p = mv, at 90° to each other. Their resultant = mv√2 at 45°. Third piece must have momentum mv√2 in the opposite direction. Speed = v√2.