Answer:
I really hope this is right I think this is Diffuse I'm sorry if its worng
Hey there!
In this case, it is possible to solve this problem by using the widely-known steam tables which show that at 90 °C, the pressure that produces a vapor-liquid mixture at equilibrium is about 70.183 kPa (Cengel, Thermodynamics 5th edition).
Moreover, for the calculation of the volume, it is necessary to calculate the volume of the vapor-liquid mixture, given the quality (x) it has:
![x=\frac{m_{steam}}{m_{total}}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7Bm_%7Bsteam%7D%7D%7Bm_%7Btotal%7D%7D)
Thus, since 8 kg correspond to liquid water, 2 kg must correspond to steam, so that the quality turns out:
![x=\frac{2kg}{10kg} =0.20](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B2kg%7D%7B10kg%7D%20%3D0.20)
Now, at this temperature and pressure, the volume of a saturated vapor is 2.3593 m³/kg whereas that of the saturated liquid is 0.001036 m³/kg and therefore, the volume of the mixture is:
![v=0.001036m^3/kg+0.2(2.3593-0.001036 )m^3/kg=0.4727m^3/kg](https://tex.z-dn.net/?f=v%3D0.001036m%5E3%2Fkg%2B0.2%282.3593-0.001036%20%29m%5E3%2Fkg%3D0.4727m%5E3%2Fkg)
This means that the volume of the container will be:
![V=10kg*0.4727m^3/kg\\\\V=4.73m^3](https://tex.z-dn.net/?f=V%3D10kg%2A0.4727m%5E3%2Fkg%5C%5C%5C%5CV%3D4.73m%5E3)
Regards!
Answer:
![v_{max} = |d|\cdot \sqrt{\frac{k}{m} }](https://tex.z-dn.net/?f=v_%7Bmax%7D%20%3D%20%7Cd%7C%5Ccdot%20%5Csqrt%7B%5Cfrac%7Bk%7D%7Bm%7D%20%7D)
Explanation:
The maximum speed of the block occurs when spring has no deformation, that is, there is no elastic potential energy, which can be remarked from appropriate application of the Principle of Energy Conservation:
![\frac{1}{2}\cdot k \cdot d^{2} = \frac{1}{2}\cdot m \cdot v^{2}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%5Ccdot%20k%20%5Ccdot%20d%5E%7B2%7D%20%3D%20%5Cfrac%7B1%7D%7B2%7D%5Ccdot%20m%20%5Ccdot%20v%5E%7B2%7D)
![k \cdot d^{2} = m\cdot v^{2}](https://tex.z-dn.net/?f=k%20%5Ccdot%20d%5E%7B2%7D%20%3D%20m%5Ccdot%20v%5E%7B2%7D)
![v_{max} = |d|\cdot \sqrt{\frac{k}{m} }](https://tex.z-dn.net/?f=v_%7Bmax%7D%20%3D%20%7Cd%7C%5Ccdot%20%5Csqrt%7B%5Cfrac%7Bk%7D%7Bm%7D%20%7D)
Answer:
I. light house 1 will be warmer during the day ii. light house 2 will be warmer at night.
Explanation:
Because the land conducts heat better than water the light house farthest away from the water will get hotter during as the ground will heat up faster than the water. But this also means that the ground will lose heat faster at night where the water won't making the light house closest to the water hotter at night.