Answer
Gravity is what holds us down on the earth's (or moon's) surface. If you were to weigh yourself on a scale on Earth and then on the moon, the weight read on the moon would be 1/6 your earth weight
If the Earth didn't tilt then we wouldn't have seasons.
Answer:
The height reached by the material on Earth is 91 km.
Explanation:
Given that,
Mass ![M_{Io}=8.93\times10^{22}\ kg](https://tex.z-dn.net/?f=M_%7BIo%7D%3D8.93%5Ctimes10%5E%7B22%7D%5C%20kg)
Radius = 1821 km
Height ![h_{Io}=500\ km](https://tex.z-dn.net/?f=h_%7BIo%7D%3D500%5C%20km)
Suppose we need to find that how high would this material go on earth if it were ejected with the same speed as on Io?
We need to calculate the acceleration due to gravity on Io
Using formula of gravity
![g =\dfrac{GM_{Io}}{(R_{Io})^2}](https://tex.z-dn.net/?f=g%20%3D%5Cdfrac%7BGM_%7BIo%7D%7D%7B%28R_%7BIo%7D%29%5E2%7D)
Put the value into the formula
![g=\dfrac{6.67\times10^{-11}\times8.93\times10^{22}}{(1821\times10^{3})^2}](https://tex.z-dn.net/?f=g%3D%5Cdfrac%7B6.67%5Ctimes10%5E%7B-11%7D%5Ctimes8.93%5Ctimes10%5E%7B22%7D%7D%7B%281821%5Ctimes10%5E%7B3%7D%29%5E2%7D)
![g=1.79\ m/s^2](https://tex.z-dn.net/?f=g%3D1.79%5C%20m%2Fs%5E2)
Let v be the speed at which the material is ejected.
We need to calculate the height
Using the formula of height
![H=\dfrac{v^2}{2g}](https://tex.z-dn.net/?f=H%3D%5Cdfrac%7Bv%5E2%7D%7B2g%7D)
Using ratio of height of earth and height of Io
![\dfrac{H_{e}}{H_{Io}}=\dfrac{\dfrac{v^2}{2g_{e}}}{\dfrac{v^2}{2g_{Io}}}](https://tex.z-dn.net/?f=%5Cdfrac%7BH_%7Be%7D%7D%7BH_%7BIo%7D%7D%3D%5Cdfrac%7B%5Cdfrac%7Bv%5E2%7D%7B2g_%7Be%7D%7D%7D%7B%5Cdfrac%7Bv%5E2%7D%7B2g_%7BIo%7D%7D%7D)
![\dfrac{H_{e}}{H_{Io}}=\dfrac{g_{Io}}{g_{e}}](https://tex.z-dn.net/?f=%5Cdfrac%7BH_%7Be%7D%7D%7BH_%7BIo%7D%7D%3D%5Cdfrac%7Bg_%7BIo%7D%7D%7Bg_%7Be%7D%7D)
Put the value into the formula
![\dfrac{H_{e}}{H_{Io}}=\dfrac{1.79}{9.8}](https://tex.z-dn.net/?f=%5Cdfrac%7BH_%7Be%7D%7D%7BH_%7BIo%7D%7D%3D%5Cdfrac%7B1.79%7D%7B9.8%7D)
![\dfrac{H_{e}}{H_{Io}}=0.182](https://tex.z-dn.net/?f=%5Cdfrac%7BH_%7Be%7D%7D%7BH_%7BIo%7D%7D%3D0.182)
![H_{e}=0.182\times H_{Io}](https://tex.z-dn.net/?f=H_%7Be%7D%3D0.182%5Ctimes%20H_%7BIo%7D)
![H_{e}=0.182\times500](https://tex.z-dn.net/?f=H_%7Be%7D%3D0.182%5Ctimes500)
![H_{e}=91\ km](https://tex.z-dn.net/?f=H_%7Be%7D%3D91%5C%20km)
Hence, The height reached by the material on Earth is 91 km.
Answer:
In a standing sound wave in a pipe, nodes are regions of mean atmosphere pressure and low displacement.