Solving 2D Collision: Find v1 & v2 Magnitudes

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SUMMARY

The discussion focuses on solving a 2D collision problem involving a fireworks rocket that breaks into two equal mass pieces. The rocket initially travels at a speed of 45.0 m/s, with the pieces flying off at angles of 30 degrees above and 60 degrees below the x-axis. By applying the conservation of momentum principle, participants conclude that the magnitudes of velocities v1 and v2 can be determined through vector decomposition and trigonometric calculations.

PREREQUISITES
  • Understanding of 2D vector decomposition
  • Familiarity with conservation of momentum principles
  • Basic knowledge of trigonometry, specifically sine and cosine functions
  • Ability to solve equations involving angles and magnitudes
NEXT STEPS
  • Study the conservation of momentum in two dimensions
  • Learn how to decompose vectors into their components
  • Practice solving collision problems using trigonometric identities
  • Explore advanced topics in physics such as elastic and inelastic collisions
USEFUL FOR

Students in physics, educators teaching mechanics, and anyone interested in understanding collision dynamics and momentum conservation in two-dimensional systems.

kbeyer
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A fireworks rocket is moving at a speed of 45.0 m/s. The rocket suddenly breaks into 2 pieces of equal mass, which fly off with velocities v1 and v2. v1 creates an angle of 30 degrees above the x-axis and v2 creates an angle of 60 degrees below the x-axis.

What is the magnitude of v1 and v2?
 
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Using the conservation of momentum, and this problem becomes equally easy because they give that the mass is the same;
Im not sure, are we supposed to solve these problems for other students? or help them learn
 

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