Question

9A bomb at rest explodes into 3 parts of the same mass. The momentum of the two parts are -2p(i cap) and p(j cap). Find the magnitude of momentum of the third part.

Answer 1

*A bomb
Typo. Sorry.

Answer 2

Use conservation of momentum.
Initial momentum = 0 (bomb is at rest)
Let the velocity of the third part is vector P. Mass of each part is m.
\[Final \ momentum = (-2p ) \hat i + p \hat j + \vec{P}\]
Conservation of linear momentum:
initial momentum = final momentum
Solve for vector P.