Answer:
It has no shape of its own but has a definite volume.
Explanation:
Gases have no shape but a definite volume
Answer:
(1) Sure, the frequency is 1000 Hz.
Explanation:
Frequency = wave speed ÷ wave distance
wave speed = 100 m/s
wave distance = 10 cm = 10/100 = 0.1 m
Frequency = 100 ÷ 0.1 = 1000 Hz
I believe it would be false
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)
Fluorine has nine protons