What is the mass and direction of the third piece?

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SUMMARY

The discussion focuses on a physics problem involving momentum conservation after an explosive charge detonates a rubber block into three pieces. The first piece has a mass of 200g and travels at 1.4 m/s, while the second piece has a mass of 300g and travels at 0.90 m/s. The third piece, which is unknown in mass and direction, travels at 1.8 m/s. The angle between the trajectories of the first two pieces is 80 degrees, necessitating the use of vector analysis to determine the mass and direction of the third piece.

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  • Understanding of momentum conservation principles
  • Familiarity with vector addition and decomposition
  • Knowledge of basic physics concepts related to explosions and motion
  • Ability to perform calculations involving angles and trigonometric functions
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  • Learn how to decompose vectors into their components
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This discussion is beneficial for physics students, educators, and anyone interested in understanding the dynamics of explosive reactions and momentum conservation in multi-body systems.

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Homework Statement


A small explosive charge is placed in a rubber block resting on a smoother surface(frictionless). when the charge is detonated, the block
breaks into three pieces. A 200g piece travels 1.4 m/s and 300g piece travels at 0.90m/s. The third piece flies off at a speed of 1.8m/s.
If the angle between the first two pieces is 80(degrees), calculate the mass and the direction of the third piece. two sig figs.

Homework Equations


n/a


The Attempt at a Solution


honestly no idea. Help would be wonderfull
 
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First start is the body diagram. Indicate what you know from the problem.
 

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