The human head can be considered as a3.3-kg cranium protecting a 1.5-kg brain, with a small amount ofcerebrospinal fluid that allows the brain to move a little bit insidethe cranium. Suppose a cranium at rest is subjected to a force of2800 N for 6.5 ms in the forward direction. (a) What is the finalspeed of the cranium? (b) The back of the cranium then collideswith the back of the brain, which is still at rest, and the two movetogether. What is their final speed? (c) The cranium now hits anexternal object and suddenly comes to rest, but the brain continues to move forward. If the front of the brain interacts with thefront of the cranium over a period of 15 ms before coming to rest,what average force is exerted on the brain by the cranium?

College Physics
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ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
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Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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The human head can be considered as a
3.3-kg cranium protecting a 1.5-kg brain, with a small amount of
cerebrospinal fluid that allows the brain to move a little bit inside
the cranium. Suppose a cranium at rest is subjected to a force of
2800 N for 6.5 ms in the forward direction. (a) What is the final
speed of the cranium? (b) The back of the cranium then collides
with the back of the brain, which is still at rest, and the two move
together. What is their final speed? (c) The cranium now hits an
external object and suddenly comes to rest, but the brain continues to move forward. If the front of the brain interacts with the
front of the cranium over a period of 15 ms before coming to rest,
what average force is exerted on the brain by the cranium?

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