Harvard University Physics Motion and Momentum Problem

Problem Description

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?

Instructions

In a neat and organized fashion, write out a solution that includes the following:

1. A sketch of the physical situation with all relevant states shown and all physical quantities clearly labeled.
2. 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.
3. 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.
4. Evaluate your solution to catch any errors you might have made.