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$\bullet$ $\bullet$ Compression of human bone. The bulk modulus for bone is 15 GPa. (a) If a diver-in-training is put into a pressurized suit, by how much would the pressure have to be raised (in atmospheres) above atmospheric pressure to compress her bones by 0.10$\%$ of their original volume? (b) Given that the pressure in the ocean increases by $1.0 \times 10^{4}$ Pa for every meter of depth below the surface, how deep would this diver have to go for her bones to compress by 0.10$\%$ ? Does it seem that bone compression is a problem she needs to be concerned with when diving?

150 $\mathrm{atm}$1.5 $\mathrm{km}$no

Physics 101 Mechanics

Chapter 11

Elasticity and Periodic Motion

Equilibrium and Elasticity

Periodic Motion

Rutgers, The State University of New Jersey

University of Michigan - Ann Arbor

Simon Fraser University

McMaster University

Lectures

04:12

In physics, potential energy is the energy possessed by a body by virtue of its position relative to others, stresses within itself, electric charge, and other factors. The unit for energy in the International System of Units is the joule (J). One joule can be defined as the work required to produce one newton of force, or one newton times one metre. Potential energy is the energy of an object. It is the energy by virtue of an object's position relative to other objects. Potential energy is associated with restoring forces such as a spring or the force of gravity. The action of stretching the spring or lifting the mass is performed by a force which works against the force field of the potential. The potential energy of an object is the energy it possesses due to its position relative to other objects. It is said to be stored in the field. For example, a book lying on a table has a large amount of potential energy (it is said to be at a high potential energy) relative to the ground, which has a much lower potential energy. The book will gain potential energy if it is lifted off the table and held above the ground. The same book has less potential energy when on the ground than it did while on the table. If the book is dropped from a height, it gains kinetic energy, but loses a larger amount of potential energy, as it is now at a lower potential energy than before it was dropped.

02:18

In physics, an oscillation is the repetitive variation, typically in time, of some measure about a central value or between two or more different states. The oscillation may be periodic or aperiodic.

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Compression of Human Bone.…

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Compression of human bone.…

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The bulk modulus for bone …

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BIO Compression of Human B…

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The compressive strength o…

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Stress on the Shin Bone. C…

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$\bullet$ Effect of diving…

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CP Blo Stress on the Shin …

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$\bullet$ $\bullet$ Stress…

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Bone has a Young's mo…

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Young's modulus for b…

and this problem where he was going to apply this law here that relates the change of volume to the original volume to the change in pressure. Experienced something This for Delta P, we get tell two. B is equal to negative bulk modules times Delta V over. Be not. We're told that we want this ratio here to be 0.1% which if we convert the percent two decimal we get 0.1 and then says the volume is decreasing. We're going to add a native son. The ultimate results this *** sign will be to cancel this negative sign so that we get a positive pressure increase. We also know the book module asses given in the problem. And so we know that we know this now. Weaken sulfur the change in pressure experienced. And we get 1.5 times 10 to 7 Pascal's. And if you do a conversion factor to convert this from Pascal's two atmospheres, you get 150 atmospheres. And so this is the answer to party in part B. We want to figure out the death at which this happens, and so if we know the pressure which this happens or the Delta PIA which just happens. We can use the factor they give us for the death per meter downward and or figure out how many meters down in order to achieve this. And so during the mess. 1.5 times 10 to the seventh Pascal's which is the Delta p found here in Pascal's Harry. And divide this by the pressure per meter that they give us a problem just 1.0 times. 10 234 Pascal's per meter. Doing this division will give us the meters below the surface. You must be and this is 1,500 meters and so 1,500 meters is a pretty far dive s. So this is not going to be a concern for her, not a concern. And that's

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