I have a headache.
How about avoiding crashing into a wall and head on with other cars.
Makes sense gentlemen?
How about avoiding crashing into a wall and head on with other cars.
Makes sense gentlemen?
The formula for kinetic energy is:
F = ½ m * v^2
So if a car of a fixed mass is hitting a wall, the total force applied to the wall (in an inelastic equation) will be equal to the force above.
If that same car were to be halted in the exact same spot by another car going in the opposite direction using an equal force, then the force would be exactly the same.
If you look at a car going 100 mph into a wall, notice how the velocity component is square and therefore the forces applied would be much greater.
So you are correct: The Mythbusters analogy for two cars hitting each other at 50 mph is NOT equivalent to one car hitting a wall at 100 mph. Rather it would be more correct to say that two cars hitting each other at 50 mph is more equivalent to one car hitting a wall at 50 mph.
However, it isn’t entirely accurate to say that two cars hitting each other at 50 mph is similar to one car hitting a stationary car at 100 mph. As you can see the forces are far greater at that speed. However, in reality it completely changes the dynamic of the crash. One major limiting factor is the coefficient of static friction of the stationary car will limit how much force the stationary car can apply back to the moving car. The maximum force the stationary car can apply back to the moving car will be far less than the force of the moving car as the tires can hold only so much force before they break loose. The 100 mph car will plow into the stationary car, but will end up pushing it very far and the coefficient of dynamic friction will act as a dampener (or airbag) for the moving car and will help distribute the force over a longer period of time. Two moving cars crashing into each other will be more of an impact (relatively speaking) where the force will immediately peak, whereas a car hitting a stationary car will have a much longer and drawn out force curve relative to time.
Is it? I thought it's just:
Force = Mass*Acceleration
Should be linear, no?
I have a headache.
How about avoiding crashing into a wall and head on with other cars.
Makes sense gentlemen?
.....LOL then mythbusters would be boring and we'd have no fun!
Thanks for the equation, yea I'd love to have them do this test and see how the cars end up looking like. It might be more damage than two cars crashing at 50mph each, or might not. :smile:
Bryan - our resident mechanical engineer, provided the equation: Force = ½ mass * velocity ^2 , so it's not linear.
No, the kinetic energy of the system is doubled (exactly). It's not "much more than double" - it's just purely doubled.Speed is double, kinetic energy though is much more than double.
No, the kinetic energy of the system is doubled (exactly). It's not "much more than double" - it's just purely doubled.
No, the kinetic energy of the system is doubled (exactly). It's not "much more than double" - it's just purely doubled.
Lol at frank for starting this..
Thinking more about this:
valid comparison scenarios:
1) 1 car traveling at 50mph, crashes into a solid wall also traveling at 50mph. Compare to 1 car traveling at 100mph crashing into stationary solid wall.
2) as per above, 2 car traveling at 50mph each crashing into each other. Compare to 1 car traveling at 100mph crashing into stationary vehicle.
A wall does not distribute or absorb energy like a car, so it seems to me Mythbusters made a huge flaw comparing 2 cars crashing at 50mph each, to a car traveling at 100mph crashing into a solid unmoving wall...
Any engineers or any one care to comment?? I think Mythbusters need to fix this test and do it right per my scenarios above.
I'm saying neither (both of your examples are correct though).Not sure if you mean if you are comparing the kinetic energy of one car travelling at 50 mph two cars travelling at 50 mph or one car travelling at 50 mph to one car travelling at 100 mph.
If you are comparing one car travelling at 50 mph to two cars travelling at 50 mph, then yes the total kinetic energy is doubled.
If you are comparing one car travelling at 50 mph to one car travelling at 100 mph, then the kinetic energy is quadrupled since the equation for kinetic energy is ½ * mass * velocity^2
Force = 1/2 m * v^2
since energy is not techincally a force.
NsxMas, I believed you at first... maybe that's why I failed physics in college.