Answer:
Pitch is a measure of how high or low something sounds and is related to the speed of the vibrations that produce the sound. Volume is a measure of how loud or soft something sounds and is related to the strength of the vibrations.
Explanation:
Answer:
The center of mass of the Earth-Moon system is 4.673 kilometers away from center of Earth.
Explanation:
Let suppose that planet and satellite can be treated as particles. The masses of Earth and Moon (
,
) are
and
, respectively. The distance between centers is 384,403 kilometers. The location of the center of mass can be found by using weighted averages:
![\bar x = \frac{x_{E}\cdot m_{E}+x_{M}\cdot m_{M}}{m_{E}+m_{M}}](https://tex.z-dn.net/?f=%5Cbar%20x%20%3D%20%5Cfrac%7Bx_%7BE%7D%5Ccdot%20m_%7BE%7D%2Bx_%7BM%7D%5Ccdot%20m_%7BM%7D%7D%7Bm_%7BE%7D%2Bm_%7BM%7D%7D)
If
and
, then:
![\bar x = \frac{(0\,km)\cdot (5.972\times 10^{24}\,kg)+(384,403\,km)\cdot (7.349\times 10^{22}\,kg)}{5.972\times 10^{24}\,kg+7.349\times 10^{22}\,kg}](https://tex.z-dn.net/?f=%5Cbar%20x%20%3D%20%5Cfrac%7B%280%5C%2Ckm%29%5Ccdot%20%285.972%5Ctimes%2010%5E%7B24%7D%5C%2Ckg%29%2B%28384%2C403%5C%2Ckm%29%5Ccdot%20%287.349%5Ctimes%2010%5E%7B22%7D%5C%2Ckg%29%7D%7B5.972%5Ctimes%2010%5E%7B24%7D%5C%2Ckg%2B7.349%5Ctimes%2010%5E%7B22%7D%5C%2Ckg%7D)
![\bar x = 4.673\,km](https://tex.z-dn.net/?f=%5Cbar%20x%20%3D%204.673%5C%2Ckm)
The center of mass of the Earth-Moon system is 4.673 kilometers away from center of Earth.
As it was explained in the Introductory Article on the Electromagnetic Spectrum, electromagnetic radiation can be described as a stream of photons, each traveling in a wave-like pattern, carrying energy and moving at the speed of light. In that section, it was pointed out that the only difference between radio waves, visible light and gamma rays is the energy of the photons. Radio waves have photons with the lowest energies. Microwaves have a little more energy than radio waves. Infrared has still more, followed by visible, ultraviolet, X-rays and gamma rays.
That should be able to help answer your question :)
Answer:
35870474.30504 m
Explanation:
r = Distance from the surface
T = Time period = 24 h
G = Gravitational constant = 6.67 × 10⁻¹¹ m³/kgs²
m = Mass of the Earth = 5.98 × 10²⁴ kg
Radius of Earth = ![6.38\times 10^6\ m](https://tex.z-dn.net/?f=6.38%5Ctimes%2010%5E6%5C%20m)
The gravitational force will balance the centripetal force
![\dfrac{GMm}{R^2}=m\dfrac{v^2}{R}\\\Rightarrow v=\sqrt{\dfrac{GM}{R}}](https://tex.z-dn.net/?f=%5Cdfrac%7BGMm%7D%7BR%5E2%7D%3Dm%5Cdfrac%7Bv%5E2%7D%7BR%7D%5C%5C%5CRightarrow%20v%3D%5Csqrt%7B%5Cdfrac%7BGM%7D%7BR%7D%7D)
![T=\dfrac{2\pi r}{v}\\\Rightarrow T=\dfrac{2\pi r}{\sqrt{\dfrac{GM}{r}}}](https://tex.z-dn.net/?f=T%3D%5Cdfrac%7B2%5Cpi%20r%7D%7Bv%7D%5C%5C%5CRightarrow%20T%3D%5Cdfrac%7B2%5Cpi%20r%7D%7B%5Csqrt%7B%5Cdfrac%7BGM%7D%7Br%7D%7D%7D)
From Kepler's law we have relation
![T^2=\dfrac{4\pi^2r^3}{GM}\\\Rightarrow r^3=\dfrac{T^2GM}{4\pi^2}\\\Rightarrow r=\left(\dfrac{(24\times 3600)^2\times 6.67\times 10^{-11}\times 5.98\times 10^{24}}{4\pi^2}\right)^{\dfrac{1}{3}}\\\Rightarrow r=42250474.30504\ m](https://tex.z-dn.net/?f=T%5E2%3D%5Cdfrac%7B4%5Cpi%5E2r%5E3%7D%7BGM%7D%5C%5C%5CRightarrow%20r%5E3%3D%5Cdfrac%7BT%5E2GM%7D%7B4%5Cpi%5E2%7D%5C%5C%5CRightarrow%20r%3D%5Cleft%28%5Cdfrac%7B%2824%5Ctimes%203600%29%5E2%5Ctimes%206.67%5Ctimes%2010%5E%7B-11%7D%5Ctimes%205.98%5Ctimes%2010%5E%7B24%7D%7D%7B4%5Cpi%5E2%7D%5Cright%29%5E%7B%5Cdfrac%7B1%7D%7B3%7D%7D%5C%5C%5CRightarrow%20r%3D42250474.30504%5C%20m)
Distance from the center of the Earth would be
![42250474.30504-6.38\times 10^6=\mathbf{35870474.30504\ m}](https://tex.z-dn.net/?f=42250474.30504-6.38%5Ctimes%2010%5E6%3D%5Cmathbf%7B35870474.30504%5C%20m%7D)