Energy and Momentum Conservation in Inelastic Car Collisions

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SUMMARY

Inelastic collisions between two cars of mass m result in the cars sticking together post-collision. One car travels north at speed 2v, while the other moves at speed v at an angle phi south of east. The final velocity of the combined system, v_final, and the angle theta east of north can be determined using the conservation of momentum, which requires breaking down the velocities into their x and y components. The discussion emphasizes the importance of using vector quantities for accurate calculations.

PREREQUISITES
  • Understanding of vector quantities in physics
  • Knowledge of conservation of momentum principles
  • Ability to resolve forces and velocities into components
  • Familiarity with inelastic collision concepts
NEXT STEPS
  • Study vector decomposition techniques for momentum calculations
  • Learn how to apply conservation of momentum in two dimensions
  • Explore examples of inelastic collisions in physics
  • Review the mathematical derivation of final velocities in collision scenarios
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Physics students, educators, and anyone interested in understanding the principles of momentum conservation in inelastic collisions.

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Two cars, both of mass m, collide and stick together. Prior to the collision, one car had been traveling north at speed 2v, while the second was traveling at speed v at an angle phi south of east (as indicated in the figure). After the collision, the two-car system travels at speed v_final at an angle theta east of north.
 

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Conservation of momentum, remember velocity is a vector quantity.

Show your work so we can determine where you need help.
 
can anyone help me with the above problem? I've been trying to work it out but i can't find the answer to vfinal... or theta
 
Like civil_dude said, show your work so we know where you went wrong.

Either use the velocities as vectors or break the conservation of momentum into its x and y components.
 
i got the other homework problems but i don't think I'm even close for this one. the answer that i have so far for vfinal i have sqrt( (v*cos(phi))^2 + (2v - vsin(phi)^2)

but that doesn't work or feel right either. and i can't even begin to find theta
 
Are you using energy conservation? The collision is inelastic. Use conservation of momentum.
 

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