What Are the Speeds of the Fragments from a Space Rocket Explosion?

[judas_priest]

Homework Statement

A rocket ship parked at rest in space suddenly explodes into 3 pieces of equal mass traveling in the directions shown. If the piece traveling upward has a speed of 150 m/s, what are the speeds of the other two pieces?

Homework Equations

The Attempt at a Solution

How do I conserve the momentum in this case? I'm clueless.

 

[technician]

I think you mean conserve momentum.
Can you say anything about horizontal momentum?

 

[rude man]

Homework Statement

A rocket ship parked at rest in space suddenly explodes into 3 pieces of equal mass traveling in the directions shown. If the piece traveling upward has a speed of 150 m/s, what are the speeds of the other two pieces?

Homework Equations

The Attempt at a Solution

How do I conserve the momentum in this case? I'm clueless.

Write momentum equations for the three pieces in x and y. The assumption is that there is no z motion.