Physics: Principles with Applications (7th Edition)

Published by Pearson
ISBN 10: 0-32162-592-7
ISBN 13: 978-0-32162-592-2

Chapter 9 - Static Equilibrium; Elasticity and Fracture - General Problems - Page 258: 76

Answer

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Work Step by Step

Find the average acceleration of the person. $$0^2 = (-55m/s)^2+2a(-1.0m)$$ $$a=1513\;m/s^2$$ Find the average force of the snow on the person. Use Newton’s second law. $$F_{snow}-mg=ma$$ $$F_{snow}=m(a+g)=(75\;kg)( 1513+9.8\;m/s^2)$$ Calculate the average force per unit area on the body. $$\frac{F_{snow}}{A}=\frac{(75\;kg)( 1513+9.8\;m/s^2)}{0.30\;m^2}=3.81\times10^5\;N/m^2$$ This is less than the quoted strength of body tissue, so serious injury may be avoided.
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