What Is the Velocity After Two Cars Collide?

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In a collision between a 2000-lb car traveling north at 60 mph and a 5000-lb car traveling east at 40 mph, the cars stick together, requiring the use of conservation of linear momentum to find their combined velocity. The initial momentum of each car is calculated, resulting in a total initial momentum of 9920 slug-m/h. The final velocity is determined to be approximately 45.7 mph, but the direction calculation leads to confusion due to the need for vector addition rather than simple arithmetic. It is clarified that momentum is a vector quantity, necessitating the use of x and y components for accurate calculations. The discussion highlights the importance of understanding the distinction between pounds as a unit of weight and slugs as a unit of mass in the context of momentum calculations.
  • #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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