Calculating Mass and Velocity of Exploding Object Pieces

[cvc121]

Homework Statement

A 50kg object explodes into three pieces. Piece 1 flies off at 12m/s [N 30^o E], piece 2 has velocity 10m/s [ S ]. If the mass of piece 1 is 25kg and piece 2 is 12kg, find the mass and velocity of piece 3.

Homework Equations

The Attempt at a Solution

My attempt is shown below. Can anyone confirm my work? Not sure if my vector diagram is drawn correctly. Thanks! All help is very much appreciated!

 

[WrongMan]

I don't think that is correct.
you should divide momentum into components (x and y)

furthermore, what is V3= xxx Kg*m/s ... are kg*m/s a velocity dimension?

 

[gneill]

The working looks good, solving from the vector diagram. The correct vector was identified that makes the net momentum zero, and its components determined.

 

[cvc121]

The answer should read 15.8 m/s not 15.8 kgm/s. My bad.

 

[WrongMan]

The answer should read 15.8 m/s not 15.8 kgm/s. My bad.

yeah.. and the answer is correct sorry, my bad.