Displacement equals (Velocity times Time) plus half times the (acceleration times time squared). =. (48 * 4) + 1/2 * (12 *12^2) = 288meters
Answer: C) The kinetic energy and the entropy of the water molecules increases through fusion.
Explanation:
Answer:
![1.9\times 10^{-4}](https://tex.z-dn.net/?f=1.9%5Ctimes%2010%5E%7B-4%7D)
![1.2\times 10^{-4}\ m](https://tex.z-dn.net/?f=1.2%5Ctimes%2010%5E%7B-4%7D%5C%20m)
Explanation:
r = Radius = 2.7 cm
F = Force = ![3.2\times 10^4\ N](https://tex.z-dn.net/?f=3.2%5Ctimes%2010%5E4%5C%20N)
A = Area = ![\pi r^2](https://tex.z-dn.net/?f=%5Cpi%20r%5E2)
= Stress = ![\frac{F}{A}](https://tex.z-dn.net/?f=%5Cfrac%7BF%7D%7BA%7D)
E = Young's modulus = ![7\times 10^{10}\ Pa](https://tex.z-dn.net/?f=7%5Ctimes%2010%5E%7B10%7D%5C%20Pa)
= Strain
= Original length = 67 cm
= Change in length
Young's modulus is given by
![E=\frac{\sigma}{\epsilon}\\\Rightarrow \epsilon=\frac{\sigma}{E}\\\Rightarrow \epsilon=\frac{\frac{3.2\times 10^4}{\pi 0.027^2}}{7\times 10^{10}}\\\Rightarrow \epsilon=0.0001996=1.9\times 10^{-4}](https://tex.z-dn.net/?f=E%3D%5Cfrac%7B%5Csigma%7D%7B%5Cepsilon%7D%5C%5C%5CRightarrow%20%5Cepsilon%3D%5Cfrac%7B%5Csigma%7D%7BE%7D%5C%5C%5CRightarrow%20%5Cepsilon%3D%5Cfrac%7B%5Cfrac%7B3.2%5Ctimes%2010%5E4%7D%7B%5Cpi%200.027%5E2%7D%7D%7B7%5Ctimes%2010%5E%7B10%7D%7D%5C%5C%5CRightarrow%20%5Cepsilon%3D0.0001996%3D1.9%5Ctimes%2010%5E%7B-4%7D)
Strain is ![1.9\times 10^{-4}](https://tex.z-dn.net/?f=1.9%5Ctimes%2010%5E%7B-4%7D)
Strain is given by
![\epsilon=\frac{\Delta L}{L_0}\\\Rightarrow \Delta L=\epsilon\times L_0\\\Rightarrow \Delta L=1.9\times 10^{-4}\times 0.67\\\Rightarrow \Delta L=0.0001273\\\Rightarrow \Delta L=1.2\times 10^{-4}\ m](https://tex.z-dn.net/?f=%5Cepsilon%3D%5Cfrac%7B%5CDelta%20L%7D%7BL_0%7D%5C%5C%5CRightarrow%20%5CDelta%20L%3D%5Cepsilon%5Ctimes%20L_0%5C%5C%5CRightarrow%20%5CDelta%20L%3D1.9%5Ctimes%2010%5E%7B-4%7D%5Ctimes%200.67%5C%5C%5CRightarrow%20%5CDelta%20L%3D0.0001273%5C%5C%5CRightarrow%20%5CDelta%20L%3D1.2%5Ctimes%2010%5E%7B-4%7D%5C%20m)
The cylinder height decreases by ![1.2\times 10^{-4}\ m](https://tex.z-dn.net/?f=1.2%5Ctimes%2010%5E%7B-4%7D%5C%20m)