Calculating Mass and Velocity of Exploding Object Pieces

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Homework Help Overview

The problem involves an object with a mass of 50kg that explodes into three pieces, with specific velocities given for two of the pieces. The task is to determine the mass and velocity of the third piece based on the conservation of momentum.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants discuss the need to break down momentum into components and question the dimensional correctness of the velocity units used. There is also a focus on verifying the vector diagram and ensuring that the net momentum is zero.

Discussion Status

The discussion includes attempts to clarify the calculations and identify errors in unit representation. Some participants express confidence in the vector approach, while others seek confirmation of the work presented. There is an ongoing exploration of the implications of the calculations without a clear consensus.

Contextual Notes

Participants are addressing potential misunderstandings regarding the representation of velocity and the components of momentum, as well as the implications of the mass distribution among the pieces post-explosion.

cvc121
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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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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?
 
The working looks good, solving from the vector diagram. The correct vector was identified that makes the net momentum zero, and its components determined.
 
The answer should read 15.8 m/s not 15.8 kgm/s. My bad.
 
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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