While Googling for Rhett I came across another link which I hope one of you will critique.
http://warp.povusers.org/grrr/collisionmath.html
While looking for straws to clutch....
A quote from this link happens to be exactly how I initially thought about the collisions.
"So we have two forces: Vehicle 1 applies the equivalent of 50 km/h times its mass to vehicle 2, and vehicle 2 applies an equal force to vehicle 1. This causes both vehicles to stop right there
As if the rider, "you initially thought", added weight
That above refers to momentum, m*v. Momentum is conserved, energy is conserved, KE is not.
Where would the additional 50 km/h times the mass of the vehicle come from? Vehicle 1 cannot apply that force to itself. It's applying it to vehicle 2. So where is it coming from?
F = ma.
The answer is that it's not coming from anywhere because the force applied to vehicle 1 is not 100 km/h times the mass, but only 50 km/h times the mass. The same as with the rock wall."
Walls don't have momentum, m*v, when v = 0
Top reference from shouty-crank.com
http://warp.povusers.org/grrr/index.html
"The most prominent and severe case which I have seen was Jamie Hyneman from the show MythBusters getting this exact problem
wrong in their "demolition derby special" episode, where he stated that
two trucks travelling at 50 mph each and colliding head-on were subject to a collision force equivalent to hitting a rock wall at 100 mph. Maybe he is not a phycisist, but nevertheless he of all people should know this.
The correct answer is:
The two collisions are completely equivalent."
He is "wrong" because he says they are the same, and genius corrects him by saying they are the same.
"From the point of view of one of the vehicles it makes absolutely no difference whether it hits a rock wall at 50 km/h or another identical vehicle which was traveling at the same speed in the opposite direction. The amount of force applied to the vehicle is the same in both situations"
Errr..no. One force, is a reaction to the other ( Newton)
It is a basic
logical error, to say that because the forces one each are
equal, in both situations ( car to car) and (wall to car) that they are of the same
magnitude.
This clown is one of those who say "most people/physicists get this wrong"
No chump, it's you. Definitely you.
"(Ok, in reality there will be some differences because the consistency of a rock wall is very different from a consistency of a vehicle, but this only means that hitting the rock wall will be more severe than hitting the other car, although probably not by a lot.)"
That passage means "I think I can tell physicists when they are wrong, but don't know much else"
Force is a product of impact time.
Basically F= ma = m*dv/dt
There is more. Elasticity, rotation, all sorts of stuff this bozo knows nothing about.