Download the App!
Get 24/7 study help with the Numerade app for iOS and Android! Enter your email for an invite.
Get the answer to your homework problem.
Try Numerade free for 7 days
Like
Report
$\bullet$ $\bullet$ Human hair. According to one set of measurements, the tensile strength of hair is 196 $\mathrm{MPa}$ , which produces a maximum strain of 0.40 in the hair. The thickness of hair variesconsiderably, but let's use a diameter of 50$\mu \mathrm{m}$ . (a) What is the magnitude of the force giving this tensile stress? (b) If the length of a strand of the hair is 12 $\mathrm{cm}$ at its breaking point, what was its unstressed length?
a) 0.3846 $\mathrm{N}$b) 8.571 $\mathrm{cm}$
Physics 101 Mechanics
Chapter 11
Elasticity and Periodic Motion
Equilibrium and Elasticity
Periodic Motion
Cornell University
University of Washington
Hope College
University of Sheffield
Lectures
04:12
In physics, potential ener…
02:18
In physics, an oscillation…
03:35
A hair breaks under a tens…
04:44
A copper wire of length $3…
02:15
A human hair is about $50 …
05:31
Tendons are strong elastic…
04:16
$\bullet$ Tendons. Tendons…
03:59
Thickness of Human Hair. A…
06:12
$\bullet$ A thin, light wi…
02:25
$\bullet$$\bullet$ Thickn…
03:00
A 4.0-m-long steel wire ha…
07:08
$\bullet$ $\bullet$ A bras…
03:44
A wire of length $l_0$ and…
04:02
Two circular rods, one ste…
07:27
$\bullet$ $\bullet$ Two ci…
01:59
Assume if the shear stress…
02:24
Assume that if the shear s…
03:03
(I) A marble column of cro…
01:38
0:00
A 7650 -kg helicopter acce…
02:06
Hooke's Law for a wir…
01:58
After a fall, a 95 kg rock…
and part of this problem we want to hear out with the apply force must be. And so we called that the stress of an object is equal to the perpendicular force divided by the cross sectional area. And the strain is equal to the change in lengthy object experiences over US, natural length without any force applied. Now they give us that the diameter is 50 micro meters or microns. So that means that the radius is also half that 25 microns. And so what we do is we find the area given this radius, we're gonna plug in here and then they give us a stress value. So the stress value Ben's glitch now hear stress values 1.9 or 196 times 10 to the six Pascal's. That's equal to F per over the area. Well, there is just pi r squared where Ours right here, writing this in terms of meters, like 25 times 10 to the minus six meters and in our square. So used to square that solving this for F perp gives of perp is equal to 0.385 Nunes and that's answer to party and part B. We're going to use this formula here. They tell us what the maximum strain is, so we know the left hand side and we also know what the final length is. And so, in order, actually use this. I'm going to rewrite it in terms of Ellen or not. So strain is equal to El. My cell non this year is just tell tell. I'm just writing in this terms since they give a cell and it's divided by all night. So plugging in the strange value they give us, which is point for and then playing in the l value that they give us, which is full senator years, we can solve this for l non. Usually I do that we get L known is equal to 8.6 centimeters, and that's the answer to Part B.
View More Answers From This Book
Find Another Textbook
In physics, potential energy is the energy possessed by a body by virtue of …
In physics, an oscillation is the repetitive variation, typically in time, o…
A hair breaks under a tension of $1.2 \mathrm{N}$. What is the diameter of t…
A copper wire of length $3.0 \mathrm{m}$ is observed to stretch by 2.1 mm wh…
A human hair is about $50 \mu \mathrm{m}$ in diameter. At what speed, in $\m…
Tendons are strong elastic fibers that attach muscles to bones. To a reasona…
$\bullet$ Tendons. Tendons are strong elastic fibers that attach mus-cle…
Thickness of Human Hair. Although we have discussed single-slit diffraction …
$\bullet$ A thin, light wire 75.0 $\mathrm{cm}$ long having a circular cross…
$\bullet$$\bullet$ Thickness of human hair. Although we have discusseds…
A 4.0-m-long steel wire has a cross-sectional area of 0.050 cm$^2$. Its prop…
$\bullet$ $\bullet$ A brass rod with a length of 1.40 $\mathrm{m}$ and a cro…
A wire of length $l_0$ and cross-sectional area $A$ supports a hanging weigh…
Two circular rods, one steel and the other copper, are joined end to end. Ea…
$\bullet$ $\bullet$ Two circular rods, one steel and the other copper, are j…
Assume if the shear stress in steel exceeds about $4.00 \times 10^{8} \mathr…
Assume that if the shear stress in steel exceeds about $4.00 \times 10^{8} \…
(I) A marble column of cross-sectional area $1.4 m^2$ supports a mass of 25,…
(I) A marble column of cross-sectional area 1.4 $\mathrm{m}^{2}$ supports
A 7650 -kg helicopter accelerates upward at 0.80 $\mathrm{m} / \mathrm{s}^{2…
Hooke's Law for a wire. A wire of length $l_{0}$ and cross-sectional ar…
After a fall, a 95 kg rock climber finds himself dangling from the end of a …
04:37
A 4.00$\mu \mathrm{F}$ and a 6.00$\mu \mathrm{F}$ capacitor are connected in…
05:21
A Styrofoam" bucket of negligible mass contains 1.75 $\mathrm{kg}$ of w…
03:32
A uniform 25.0 $\mathrm{kg}$ chain 2.00 $\mathrm{m}$ long supports a 50.0 $\…
01:52
$\bullet$ A coil has a resistance of 48.0$\Omega .$ At a frequency of 80.0 $…
02:31
Electric eels. Electric eels and electric fish generate large potential diff…
04:48
$\bullet$$\bullet$ Atmosphere of Titan. Titan, the largest satellite of Satu…
02:22
(II) An Airplane travels at 950 $\mathrm{km} / \mathrm{h}$ . How long does i…
02:52
$\bullet$ Consider the circuit sketched in Figure $22.22 .$ The source has a…
02:36
Blood pressure. Systemic blood pressure is expressed as the ratio of the sys…
06:03
A glass flask whose volume is 1000.00 $\mathrm{cm}^{3}$ at $0.0^{\circ} \mat…
