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If I take the spring and car as my system, then there is no work done on it during the collision.
The car will decrease in kinetic energy and increase in spring-potential energy.
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If this is too difficult a question to answer, change it. Simplified Car Model ——————–To explore the difference between crashing a car at 70 mph and 85 mph, I will use a model. I like to look at the acceleration because that is a good indication of possible injury.
This car doesn't have a crumple zone, it has a huge spring on the front. Now, I am going to take this spring car and crash it into a fixed wall. Work Energy ———–The work energy principle says that the work done on an object is equal to its change in energy.
Bouncing back would have a much greater acceleration than just stopping (because of the change in direction of velocity).
But I guess it stops at that instant, so maybe that isn't so bad.
Suppose that I have a car going 70 mph (31 m/s) and it crashes into a wall with a spring compression of 1 meter (I just randomly picked that).
So, what is the acceleration as a function of time?
Acceleration depends on position, but position depends on velocity and velocity depends on acceleration. First, this is the velocity of the car as it collides.
And here is the acceleration (as a function of time) for the car: This says that if you are driving and crash into a wall, you would accelerate "eyeballs out" and could take about 28 g's for less that 0.01 seconds. Looking at the above graph, you would be over 28 g's for about 0.04 seconds. Don't crash your car into a wall if you are going 70 mph even if the car has a huge spring on it.
UPDATE: I was wrong (as pointed out in the comments).
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What would the value for Now I can use that for the maximum acceleration during a collision.