Answer is:
Photosynthesis transforms light energy into chemical energy. Cellular respration releasses the carbon dioxide from food into the air.
hope this helps :)
Answer: waves transport energy, not water. As a wave crest passes, the water particles move in circular paths. The movement of the floating inner tube is simulacra to the movement of the water particles. Water particles rise as a wave crest approaches.
Explanation:
Answer:d
Explanation: oil would form droplets but only tiny ones because it’s surface tension is lower than that of water
Answer:
, level is rising.
Explanation:
Since liquid water is a incompresible fluid, density can be eliminated of the equation of Mass Conservation, which is simplified as follows:
![\dot V_{in} - \dot V_{out} = \frac{dV_{tank}}{dt}](https://tex.z-dn.net/?f=%5Cdot%20V_%7Bin%7D%20-%20%5Cdot%20V_%7Bout%7D%20%3D%20%5Cfrac%7BdV_%7Btank%7D%7D%7Bdt%7D)
![\frac{\pi}{4}\cdot D_{in}^2 \cdot v_{in}-\frac{\pi}{4}\cdot D_{out}^2 \cdot v_{out}= \frac{\pi}{4}\cdot D_{tank}^{2} \cdot \frac{dh}{dt} \\D_{in}^2 \cdot v_{in} - D_{out}^2 \cdot v_{out} = D_{tank}^{2} \cdot \frac{dh}{dt} \\\frac{dh}{dt} = \frac{D_{in}^2 \cdot v_{in} - D_{out}^2 \cdot v_{out}}{D_{tank}^{2}}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Cpi%7D%7B4%7D%5Ccdot%20D_%7Bin%7D%5E2%20%5Ccdot%20v_%7Bin%7D-%5Cfrac%7B%5Cpi%7D%7B4%7D%5Ccdot%20D_%7Bout%7D%5E2%20%5Ccdot%20v_%7Bout%7D%3D%20%5Cfrac%7B%5Cpi%7D%7B4%7D%5Ccdot%20D_%7Btank%7D%5E%7B2%7D%20%5Ccdot%20%5Cfrac%7Bdh%7D%7Bdt%7D%20%5C%5CD_%7Bin%7D%5E2%20%5Ccdot%20v_%7Bin%7D%20-%20D_%7Bout%7D%5E2%20%5Ccdot%20v_%7Bout%7D%20%3D%20D_%7Btank%7D%5E%7B2%7D%20%5Ccdot%20%5Cfrac%7Bdh%7D%7Bdt%7D%20%5C%5C%5Cfrac%7Bdh%7D%7Bdt%7D%20%20%3D%20%5Cfrac%7BD_%7Bin%7D%5E2%20%5Ccdot%20v_%7Bin%7D%20-%20D_%7Bout%7D%5E2%20%5Ccdot%20v_%7Bout%7D%7D%7BD_%7Btank%7D%5E%7B2%7D%7D)
By replacing all known variables:
![\frac{dh}{dt} = \frac{(0.3 ft)^{2}\cdot (5 \frac{ft}{s} ) - (0.4 ft)^{2} \cdot (2 \frac{ft}{s} )}{(10 ft)^{2}}\\\frac{dh}{dt} = 1.3 \times 10^{-3} \frac{ft}{s}](https://tex.z-dn.net/?f=%5Cfrac%7Bdh%7D%7Bdt%7D%20%3D%20%5Cfrac%7B%280.3%20ft%29%5E%7B2%7D%5Ccdot%20%285%20%5Cfrac%7Bft%7D%7Bs%7D%20%29%20-%20%280.4%20ft%29%5E%7B2%7D%20%5Ccdot%20%282%20%5Cfrac%7Bft%7D%7Bs%7D%20%29%7D%7B%2810%20ft%29%5E%7B2%7D%7D%5C%5C%5Cfrac%7Bdh%7D%7Bdt%7D%20%3D%201.3%20%5Ctimes%2010%5E%7B-3%7D%20%5Cfrac%7Bft%7D%7Bs%7D)
The positive sign of the rate of change of the tank level indicates a rising behaviour.
Answer:
The gravitational force changing velocity is
![\frac{dF}{dt}=-8\frac{N}{s}](https://tex.z-dn.net/?f=%5Cfrac%7BdF%7D%7Bdt%7D%3D-8%5Cfrac%7BN%7D%7Bs%7D)
Explanation:
The expression for the gravitational force is
![F=\frac{k}{r^{2}}\\\\k=10x10^{13} N*km^{2}\\\\r=10x10^{4} km\\\\V=0.4 \frac{km}{s}](https://tex.z-dn.net/?f=F%3D%5Cfrac%7Bk%7D%7Br%5E%7B2%7D%7D%5C%5C%5C%5Ck%3D10x10%5E%7B13%7D%20N%2Akm%5E%7B2%7D%5C%5C%5C%5Cr%3D10x10%5E%7B4%7D%20km%5C%5C%5C%5CV%3D0.4%20%5Cfrac%7Bkm%7D%7Bs%7D)
Differentiate the above equation
![\frac{dF}{dt}=\frac{k}{r^{2}}\\\frac{dF}{dt}=k*r^{-2}\\\frac{dF}{dt}=-2*k*r^{-3} \frac{dr}{dt}\\\frac{dF}{dt}=\frac{-2k}{r^{3}}\frac{dr}{dt}](https://tex.z-dn.net/?f=%5Cfrac%7BdF%7D%7Bdt%7D%3D%5Cfrac%7Bk%7D%7Br%5E%7B2%7D%7D%5C%5C%5Cfrac%7BdF%7D%7Bdt%7D%3Dk%2Ar%5E%7B-2%7D%5C%5C%5Cfrac%7BdF%7D%7Bdt%7D%3D-2%2Ak%2Ar%5E%7B-3%7D%20%5Cfrac%7Bdr%7D%7Bdt%7D%5C%5C%5Cfrac%7BdF%7D%7Bdt%7D%3D%5Cfrac%7B-2k%7D%7Br%5E%7B3%7D%7D%5Cfrac%7Bdr%7D%7Bdt%7D)
The velocity is the distance in at time so
![V=\frac{dr}{dt}=0.4 \frac{km}{s}](https://tex.z-dn.net/?f=V%3D%5Cfrac%7Bdr%7D%7Bdt%7D%3D0.4%20%5Cfrac%7Bkm%7D%7Bs%7D)
![\frac{dF}{dt}=\frac{-2*k}{r^{3}}*0.4\\\frac{dF}{dt}=\frac{-8*10x^{13}N*km^{2} }{(10x10^{4}) ^{3}} \\\frac{dF}{dt}=\frac{-8x10^{12} }{1x10^{12}}](https://tex.z-dn.net/?f=%5Cfrac%7BdF%7D%7Bdt%7D%3D%5Cfrac%7B-2%2Ak%7D%7Br%5E%7B3%7D%7D%2A0.4%5C%5C%5Cfrac%7BdF%7D%7Bdt%7D%3D%5Cfrac%7B-8%2A10x%5E%7B13%7DN%2Akm%5E%7B2%7D%20%7D%7B%2810x10%5E%7B4%7D%29%20%5E%7B3%7D%7D%20%5C%5C%5Cfrac%7BdF%7D%7Bdt%7D%3D%5Cfrac%7B-8x10%5E%7B12%7D%20%7D%7B1x10%5E%7B12%7D%7D)
![\frac{dF}{dt}=-8\frac{N}{s}](https://tex.z-dn.net/?f=%5Cfrac%7BdF%7D%7Bdt%7D%3D-8%5Cfrac%7BN%7D%7Bs%7D)