Conservation of energy, A bomb explodes into three pieces

[ErikiaMeno]

Homework Statement

A bomb explodes into three pieces, two have an equal mass and fly off at 60 degress to one another with the speed of 100 m/s. The third piece has three times the mass of each of the other pieces. Find the direction and magnitude of the third piece immediatly after the explosion

Homework Equations

Is my solution correct?
If not, how should I re-approach the problem

The Attempt at a Solution

2A + 60 = 360
2A = 300
A = 150 degres, A is the direction of the third angle

2*100m/s cos(180-150)-3mv = 0
200/3cos(30)
57.7

 

[tiny-tim]

Welcome to PF!

Hi ErikiaMeno! Welcome to PF!

2A + 60 = 360
2A = 300
A = 150 degres, A is the direction of the third angle

2*100m/s cos(180-150)-3mv = 0
200/3 cos(30)
57.7

Yes, that looks ok …

what is worrying you about that? ​