The classic momentum transfer between balls question

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SUMMARY

The discussion focuses on a momentum transfer problem involving a 5.0-kg object that explodes into two 2.5-kg objects. Initially, the object has a velocity of 6.0 m/s east, and after the explosion, one object moves at 4.0 m/s at an angle of 50° north of east. The conservation of momentum principle (P(i) = P(f)) is applied to determine the velocity of the second object, which the original poster incorrectly calculated as 3.5 m/s at 48 degrees. The correct approach requires vector decomposition and proper application of momentum equations.

PREREQUISITES
  • Understanding of momentum conservation principles (P=MV)
  • Vector decomposition techniques for analyzing angles and magnitudes
  • Basic trigonometry, including sine and cosine functions
  • Familiarity with physics problem-solving methods
NEXT STEPS
  • Review vector decomposition in physics to analyze momentum in two dimensions
  • Study the conservation of momentum in explosive interactions
  • Practice solving similar momentum transfer problems using different angles and masses
  • Learn how to apply trigonometric functions to resolve vector components
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This discussion is beneficial for physics students, educators, and anyone interested in understanding momentum transfer and explosive interactions in mechanics.

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Homework Statement



A 5.0-kg object has a velocity of 6.0 m/s, east when it explodes into two 2.5-kg objects.
After the explosion one of the objects has a velocity of 4.0 m/s at an angle of 50° north
of east. What is the magnitude and direction of the velocity of the other object after the
explosion

Homework Equations



P=MV

P(i) = P(f)

The Attempt at a Solution



P=2.5*4sin(50)

P(i) = 30
P(f) = 30

I got about 3.5m/s, at 48 degrees, which apparently is quite wrong.
 
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