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$\bullet$ Biceps muscle. A relaxed biceps muscle requires a force of 25.0 $\mathrm{N}$ for an elongation of $3.0 \mathrm{cm} ;$ under maximum tension, the same muscle requires a force of 500 $\mathrm{N}$ for the same elongation. Find Young's modulus for the muscle tissue under each of these conditions if the muscle can be modeled as a uniform cylinder with an initial length of 0.200 $\mathrm{m}$ and a cross-sectional area of 50.0 $\mathrm{cm}^{2}.$

$6.67 \times 10^{5} \mathrm{Pa}$

Physics 101 Mechanics

Chapter 11

Elasticity and Periodic Motion

Equilibrium and Elasticity

Periodic Motion

Rutgers, The State University of New Jersey

Simon Fraser University

University of Winnipeg

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.

00:54

Biceps Muscle. A relaxed b…

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A relaxed biceps muscle re…

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BIO Biceps Muscle. A relax…

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Biceps muscle. A relaxed b…

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'16. Biceps muscle. A…

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To stretch a relaxed bicep…

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BIO To stretch a relaxed b…

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Find the force exerted by …

Hi there, Troy G here with numerator solving a problem having to do with Young's module lists and which describes linked elasticity by relating the stress on a material force divided by a cross sectional area over the strain. Young's relates length, so the change in length deformations stretch divided by the original link. This problem we're told that a muscle is going to stretch a 0.3 meters, three centimeters with again, Let's keep everything s I standard 30.3 meters under the influence of a 250 Newton force when the muscles relaxed and a 500 new force. If the muscle is tense, we're told to assume that this muscle ca NBI, modelled as a cylinder that's 5000.200 meters long with a cross sectional area of 50 0.0 centimeters squared. Careful here again, we want to be working in meters. Recall that we have to think through the conversion factor here. If we're squaring things, there's one times 10 to the fourth. There's 10,000 centimeters squared in a meter squares. We divide that by one times 10 to the fourth, so our cross sectional area is 5.0 times 10 to the negative third meters. So it's set. Essentially, all were asked here is to just find the Youngs module is why, when the muscle is relaxed and also when the muscle is tense, really, the biology there with the muscle makes them act at like different, um, materials needing different forces. So let's go for the relaxed one first. So we're just going to take our relationship force over area divided by Delta L over L. So for the relaxed muscle that's going to be 250 Newtons on top, divided by the cross sectional area 5.0 times, 10 to the negative third, leaving unit outs units out. For now, that's the square meters, obviously on top and in both situations we have a 0.3 meter delta L, and we're told we can think about the muscle as being beginning as 0.200 meters long. All right, and then it's just calculator pushing. We come out with 3.3 times, 10 to the fifth. The module is here has the same units, is the top of the fraction cause the bottom is unit lists, and so it's pressure. So s I pressure? We can live with that Pascal's. And then the Youngs module is say, why sub t for the tents. Um, muscle. Well, really, If we just thought reasonably about this, if we start to write it well, it's gonna be a 500 Newton force as compared to the 215 Newton force, um, that we saw in the relaxed muscle. And that's really gonna be the only factor that's going to be different here. So I think we're safe to just multiply. Our module is for the relaxed muscle by two. Okay? And to just call it 6.6 times 10 to the fifth Pascal's, they're taking more force for the same strain with the tense muscle as compared to the relaxed muscle Young's ma jealous or muscles in different biological conditions. Thank

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