An average brain has a mass of 1.3 kg. It takes a force of roughly 120 N to cause a concussion. If you get into a car accident driving at 18 m/s (roughly 40 mph) where your head (with your brain inside it) comes to a complete stop in 0.15 seconds are you likely to walk away with a concussion?
In a neat and organized fashion, write out a solution that includes the following:
A sketch of the physical situation with all relevant states shown and all physical quantities clearly labeled.
A motion diagram showing the the motion of your brain during the crash and a momentum bar chart for the system consisting of your brain.
Use your representations to determine whether or not this crash is likely to give you a concussion. Show all steps you take and explain the thought process behind each step as you work.
Evaluate your solution to catch any errors you might have made.
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