What Is the Velocity After Two Cars Collide?

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SUMMARY

The discussion centers on calculating the velocity after a collision between two cars using the conservation of linear momentum. A 2000-lb car traveling north at 60 mph collides with a 5000-lb car traveling east at 40 mph, resulting in a combined mass of 217 slugs. The initial momentum is calculated as 9920 slug-m/h, leading to a final velocity of approximately 33.3 mph at an angle of 31 degrees NE. The importance of treating momentum as a vector and using proper unit conversions is emphasized, clarifying that pounds can represent both mass and force depending on context.

PREREQUISITES
  • Understanding of conservation of linear momentum
  • Knowledge of vector addition and trigonometry
  • Familiarity with unit conversions between pounds and slugs
  • Basic physics principles regarding mass and weight
NEXT STEPS
  • Study vector addition in physics to understand momentum calculations
  • Learn about unit conversions between different measurement systems, particularly in mechanics
  • Explore the implications of using pounds as both mass and force in calculations
  • Investigate real-world applications of momentum conservation in collisions
USEFUL FOR

This discussion is beneficial for physics students, educators, and anyone interested in understanding collision dynamics and momentum calculations in mechanical systems.

  • #31
Boy, if I have ever seen a plea for metrication, this is the one !

On the other hand it's good to realize -- as entro did -- that momentum really has the dimension mass times length divided by time, in whatever units are in fashion !
 
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  • #32
NickAtNight said:
You are welcome.

Oh, the SI system does not get off quite so easy either.

If you weigh yourself on the bathroom scales and get 68 kg (150 lbs).

This is also Force units. So ##kg_f##

And the ##G_c## for the SI system is ##9.8 kg*m/kg_f/s^2 ##

So ##kg_f = kg_m##

If you step on the same scale on the moon, you would only weigh 11.6 kg_f. But when you do the conversion, you will still be 68 kg mass.From that other source.
No, the SI doesn't have that mess. There is no such thing as "kg_f".
The bathroom scale measures a force of 667 N and converts it for you to m=F/g = 68 kg.
On the Moon the bathroom scale measures ~110 N and converts it (wrongly) to about 11 kg because it is not calibrated for use on Moon. A properly calibrated scale there would convert 110 N to 68 kg as well. If scales would be used in different environments frequently, one would add a test mass to the scale to make it self-calibrating.
 
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