Experimental tests have shown that bone will rupture if it is subjected to a force density of 1.03 x 10® N/m². Suppose a 70.0-kg person carelessly rollerskates into an overhead metal beam that hits his forehead and completely stops his forward motion. If the area of contact with the person's forehead is 1.5 cm², what is the greatest speed with which he can hit the wall without breaking any bone if his head is in contact with the beam for 10.0 ms?

Experimental tests have shown that bone will rupture if it is subjected to a force density of 1.03 x 10® N/m². Suppose a 70.0-kg person carelessly rollerskates into an overhead metal beam that hits his forehead and completely stops his forward motion. If the area of contact with the person's forehead is 1.5 cm², what is the greatest speed with which he can hit the wall without breaking any bone if his head is in contact with the beam for 10.0 ms?

Physics for Scientists and Engineers with Modern Physics

10th Edition

ISBN:9781337553292

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter9: Linear Momentum And Collisions

Section: Chapter Questions

Problem 32P: A garden hose is held as shown in Figure P9.32. The hose is originally full of motionless water....

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Concept explainers

Mechanical Properties of Solids

There are three types of matter- solid, liquid and gas. Out of them, solids have a rigid shaped and size. The intermolecular forces of attractions in solids are greatest. Mechanical properties are the physical properties of a material which it shows, when it is provided with certain amount of force or load. These properties are to be kept in mind for various purposes. When a force is applied to an object, the object may or may not get deformed depending upon its elastic property. But every time the object develops a restoring force against the force applied. This is commonly known as stress. If the object changes its dimensions due to the force applied it develops strain ( which is the ratio of change in dimension to the original dimension).

Question

1. Bone fracture (8.12)
Experimental tests have shown that bone will rupture if it is subjected to a force density of 1.03 x 108 N/m².
Suppose a 70.0-kg person carelessly rllerskates into an overhead metal beam that hits his forehead and
completely stops his forward motion.
If the area of contact with the person's forehead is 1.5 cm², what is the greatest speed with which he can hit the
wall without breaking any bone if his head is in contact with the beam for 10.0 ms?

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