Calculating Mass and Velocity of Exploding Object Pieces

In summary, a 50kg object explodes into three pieces with piece 1 flying off at 12m/s [N 30o E] and piece 2 having a velocity of 10m/s [S]. With the masses of piece 1 and piece 2 given as 25kg and 12kg respectively, the mass and velocity of piece 3 can be found by dividing momentum into components and solving from the vector diagram. The correct vector was identified to make the net momentum zero, and the resulting answer is a mass of 15.8kg and a velocity of 15.8 m/s for piece 3.
  • #1
cvc121
61
1

Homework Statement


A 50kg object explodes into three pieces. Piece 1 flies off at 12m/s [N 30o 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!
 

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  • #2
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?
 
  • #3
The working looks good, solving from the vector diagram. The correct vector was identified that makes the net momentum zero, and its components determined.
 
  • #4
The answer should read 15.8 m/s not 15.8 kgm/s. My bad.
 
  • #5
cvc121 said:
The answer should read 15.8 m/s not 15.8 kgm/s. My bad.
yeah.. and the answer is correct sorry, my bad.
 

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