Explanation:
that's impossible,the radius of the earth can't decrease when the mass doubles!
I would say the last option, since with an increase in temperature, water molecules will speed up.
Answer:
![\triangle x=3.2*10^-^5 m](https://tex.z-dn.net/?f=%5Ctriangle%20x%3D3.2%2A10%5E-%5E5%20m)
Explanation:
From the question we are told that
Height of circular cylinder is ![h= 1.8m](https://tex.z-dn.net/?f=h%3D%201.8m)
Diameter of cylinder![D=4cm=>0.04m](https://tex.z-dn.net/?f=D%3D4cm%3D%3E0.04m)
Horizontal Force ![F=900N](https://tex.z-dn.net/?f=F%3D900N)
![Y = 10.0 *10^1^0 N/m^2 \\B = 9.0 * 10^1^0 N/m^2\\S = 4.0 * 10^1^0 N/m^2\\](https://tex.z-dn.net/?f=Y%20%3D%2010.0%20%2A10%5E1%5E0%20N%2Fm%5E2%20%5C%5CB%20%3D%209.0%20%2A%2010%5E1%5E0%20N%2Fm%5E2%5C%5CS%20%3D%204.0%20%2A%2010%5E1%5E0%20N%2Fm%5E2%5C%5C)
Generally the formula for shear modulus is mathematically represented by
![G=\frac{\tau}{\gamma}](https://tex.z-dn.net/?f=G%3D%5Cfrac%7B%5Ctau%7D%7B%5Cgamma%7D)
Where
![G=Shear modulus\\\tau= shear\ stress\\\gamma=shear strain](https://tex.z-dn.net/?f=G%3DShear%20modulus%5C%5C%5Ctau%3D%20shear%5C%20stress%5C%5C%5Cgamma%3Dshear%20strain)
![G=\frac{F/A}{\triangle x/L}](https://tex.z-dn.net/?f=G%3D%5Cfrac%7BF%2FA%7D%7B%5Ctriangle%20x%2FL%7D)
![G=\frac{900/\pi r^2}{\triangle x/1.8}](https://tex.z-dn.net/?f=G%3D%5Cfrac%7B900%2F%5Cpi%20r%5E2%7D%7B%5Ctriangle%20x%2F1.8%7D)
![4.0*10^1^0=\frac{900/\pi r^2}{\triangle x/1.8}](https://tex.z-dn.net/?f=4.0%2A10%5E1%5E0%3D%5Cfrac%7B900%2F%5Cpi%20r%5E2%7D%7B%5Ctriangle%20x%2F1.8%7D)
![4.0*10^1^0=\frac{900}{\pi r^2} *\frac{1.8}{\triangle x}](https://tex.z-dn.net/?f=4.0%2A10%5E1%5E0%3D%5Cfrac%7B900%7D%7B%5Cpi%20r%5E2%7D%20%20%2A%5Cfrac%7B1.8%7D%7B%5Ctriangle%20x%7D)
![{\triangle x} =\frac{1620}{\pi r^2* 4.0*10^1^0}](https://tex.z-dn.net/?f=%7B%5Ctriangle%20x%7D%20%3D%5Cfrac%7B1620%7D%7B%5Cpi%20r%5E2%2A%204.0%2A10%5E1%5E0%7D)
![\triangle x=3.2*10^-^5 m](https://tex.z-dn.net/?f=%5Ctriangle%20x%3D3.2%2A10%5E-%5E5%20m)
The answer is C) the density of the rock
Density of rock is the dependent variable, because it depends on the temperature. The temperature can’t be the dependent variable because ,the density of a rock does not have magical powers that can change temperature of a room. However changing the temperature of the room ,will change the density of the rock. Hope this helps !