Answer: Tissue.
Molecules make up cells, cells make up tissue, tissue makes up organs, organs make up organ systems.
Answer:
(a) 89 m/s
(b) 11000 N
Explanation:
Note that answers are given to 2 significant figures which is what we have in the values in the question.
(a) Speed is given by the ratio of distance to time. In the question, the time given was the time it took the pulse to travel the length of the cable twice. Thus, the distance travelled is twice the length of the cable.
![v=\dfrac{2\times 620 \text{ m}}{14\text{ s}} = \dfrac{1240\text{ m}}{14\text{ s}}=88.571428\ldots \text{ m/s}= 89\text{ m/s}](https://tex.z-dn.net/?f=v%3D%5Cdfrac%7B2%5Ctimes%20620%20%5Ctext%7B%20m%7D%7D%7B14%5Ctext%7B%20s%7D%7D%20%3D%20%5Cdfrac%7B1240%5Ctext%7B%20m%7D%7D%7B14%5Ctext%7B%20s%7D%7D%3D88.571428%5Cldots%20%5Ctext%7B%20m%2Fs%7D%3D%2089%5Ctext%7B%20m%2Fs%7D)
(b) The tension,
, is given by
![v =\sqrt{\dfrac{T}{\mu}}](https://tex.z-dn.net/?f=v%20%3D%5Csqrt%7B%5Cdfrac%7BT%7D%7B%5Cmu%7D%7D)
where
is the speed,
is the tension and
is the mass per unit length.
Hence,
![T = \mu\cdot v^{2}](https://tex.z-dn.net/?f=T%20%3D%20%5Cmu%5Ccdot%20v%5E%7B2%7D)
To determine
, we need to know the mass of the cable. We use the density formula:
![\rho = \dfrac{m}{V}](https://tex.z-dn.net/?f=%5Crho%20%3D%20%5Cdfrac%7Bm%7D%7BV%7D)
where
is the mass and
is the volume.
![m=\rho\cdot V](https://tex.z-dn.net/?f=m%3D%5Crho%5Ccdot%20V)
If the length is denoted by
, then
![\mu = \dfrac{m}{l} = \dfrac{\rho\cdot V}{l}](https://tex.z-dn.net/?f=%5Cmu%20%3D%20%5Cdfrac%7Bm%7D%7Bl%7D%20%3D%20%5Cdfrac%7B%5Crho%5Ccdot%20V%7D%7Bl%7D)
![T = \dfrac{\rho\cdot V}{l} v^{2}](https://tex.z-dn.net/?f=T%20%3D%20%5Cdfrac%7B%5Crho%5Ccdot%20V%7D%7Bl%7D%20v%5E%7B2%7D)
The density of steel = 8050 kg/m3
The cable is approximately a cylinder with diameter 1.5 cm and length or height of 620 m. Its volume is
![V = \pi \dfrac{d^{2}}{4} l](https://tex.z-dn.net/?f=V%20%3D%20%5Cpi%20%5Cdfrac%7Bd%5E%7B2%7D%7D%7B4%7D%20l)
![T = \dfrac{\rho\cdot\pi d^2 l}{4l}v^2 = \dfrac{\rho\cdot\pi d^2}{4}v^2](https://tex.z-dn.net/?f=T%20%3D%20%5Cdfrac%7B%5Crho%5Ccdot%5Cpi%20d%5E2%20l%7D%7B4l%7Dv%5E2%20%3D%20%5Cdfrac%7B%5Crho%5Ccdot%5Cpi%20d%5E2%7D%7B4%7Dv%5E2)
![T = \dfrac{8050\times\pi\times0.015^2}{4} \times 88.57^2](https://tex.z-dn.net/?f=T%20%3D%20%5Cdfrac%7B8050%5Ctimes%5Cpi%5Ctimes0.015%5E2%7D%7B4%7D%20%5Ctimes%2088.57%5E2)
![T = 11159.4186\ldots \text{ N} = 11000 \text{ N}](https://tex.z-dn.net/?f=T%20%3D%2011159.4186%5Cldots%20%5Ctext%7B%20N%7D%20%3D%2011000%20%5Ctext%7B%20N%7D)
Gravity slows the upward speed of any rising object by 9.8 m/s every second.
If the ball is tossed upward at 20 m/s, then it's at the top of its arc and its speed has dwindled to zero in (20/9.8) = 2.04 seconds.
During that time, its starting speed is 20 m/s and its ending speed is zero, so its AVERAGE speed all the way up is (1/2) (20 + 0) = 10 m/s .
Sailing upward for 2.04 seconds at an average speed of 10 m/s, the ball rises to (2.04 x 10) = <em>20.4 meters.</em>