Answer:
![6.8370869499\times 10^{20}\ N](https://tex.z-dn.net/?f=6.8370869499%5Ctimes%2010%5E%7B20%7D%5C%20N)
Explanation:
= Avogadro's number = ![6.022\times 10^{23}](https://tex.z-dn.net/?f=6.022%5Ctimes%2010%5E%7B23%7D)
e = Charge of electron = ![1.6\times 10^{-19}\ C](https://tex.z-dn.net/?f=1.6%5Ctimes%2010%5E%7B-19%7D%5C%20C)
k = Coulomb constant = ![8.99\times 10^{9}\ Nm^2/C^2](https://tex.z-dn.net/?f=8.99%5Ctimes%2010%5E%7B9%7D%5C%20Nm%5E2%2FC%5E2)
Z = Atomic number of water = 18
M = Molar mass of water = 0.018 kg/mol
m = Mass of person
The charge is given by
![q=imbalance\times n\times e](https://tex.z-dn.net/?f=q%3Dimbalance%5Ctimes%20n%5Ctimes%20e)
Total number of protons and electrons in each sphere
![n=\dfrac{mN_AZe}{M}](https://tex.z-dn.net/?f=n%3D%5Cdfrac%7BmN_AZe%7D%7BM%7D)
![q=imbalance\times \dfrac{mN_AZe}{M}](https://tex.z-dn.net/?f=q%3Dimbalance%5Ctimes%20%5Cdfrac%7BmN_AZe%7D%7BM%7D)
![q_1=0.0004\times \dfrac{96\times 6.022\times 10^{23}\times 18\times 1.6\times 10^{-19}}{0.018}\\\Rightarrow q_1=3699916.8\ C](https://tex.z-dn.net/?f=q_1%3D0.0004%5Ctimes%20%5Cdfrac%7B96%5Ctimes%206.022%5Ctimes%2010%5E%7B23%7D%5Ctimes%2018%5Ctimes%201.6%5Ctimes%2010%5E%7B-19%7D%7D%7B0.018%7D%5C%5C%5CRightarrow%20q_1%3D3699916.8%5C%20C)
![q_2=0.0004\times \dfrac{48\times 6.022\times 10^{23}\times 18\times 1.6\times 10^{-19}}{0.018}\\\Rightarrow q_1=1849958.4\ C](https://tex.z-dn.net/?f=q_2%3D0.0004%5Ctimes%20%5Cdfrac%7B48%5Ctimes%206.022%5Ctimes%2010%5E%7B23%7D%5Ctimes%2018%5Ctimes%201.6%5Ctimes%2010%5E%7B-19%7D%7D%7B0.018%7D%5C%5C%5CRightarrow%20q_1%3D1849958.4%5C%20C)
Electrical force is given by
![F=\dfrac{kq_1q_2}{r^2}\\\Rightarrow F=\dfrac{8.99\times 10^{9}\times 3699916.8\times 1849958.4}{30^2}\\\Rightarrow F=6.8370869499\times 10^{20}\ N](https://tex.z-dn.net/?f=F%3D%5Cdfrac%7Bkq_1q_2%7D%7Br%5E2%7D%5C%5C%5CRightarrow%20F%3D%5Cdfrac%7B8.99%5Ctimes%2010%5E%7B9%7D%5Ctimes%203699916.8%5Ctimes%201849958.4%7D%7B30%5E2%7D%5C%5C%5CRightarrow%20F%3D6.8370869499%5Ctimes%2010%5E%7B20%7D%5C%20N)
The electrostatic force of attraction between them is ![6.8370869499\times 10^{20}\ N](https://tex.z-dn.net/?f=6.8370869499%5Ctimes%2010%5E%7B20%7D%5C%20N)
Answers A and C can be automatically eliminated because evaporation has to do with the water cycle and magnetism has to do with electric current and such. Next we can eliminate B or distillation because it also has to do with water/liquids. Therefore, the answer is D or filtration because it is the only answer left.
I hope this helps!
Answer:
3331.5 kg
Explanation:
Given:
Spring constant of the spring (k) = 24200 N/m
Frequency of oscillation (f) = 0.429 Hz
Let the mass be 'm' kg.
Now, we know that, a spring-mass system undergoes Simple Harmonic Motion (SHM). The frequency of oscillation of SHM is given as:
![f=\frac{1}{2\pi}\sqrt{\frac{k}{m}}](https://tex.z-dn.net/?f=f%3D%5Cfrac%7B1%7D%7B2%5Cpi%7D%5Csqrt%7B%5Cfrac%7Bk%7D%7Bm%7D%7D)
Rewrite the above equation in terms of 'm'. This gives,
![2\pi f=\sqrt{\frac{k}{m}}\\\\Squaring\ both\ sides,\ we\ get:\\\\(2\pi f)^2=\frac{k}{m}\\\\m=\frac{k}{4\pi^2 f^2}](https://tex.z-dn.net/?f=2%5Cpi%20f%3D%5Csqrt%7B%5Cfrac%7Bk%7D%7Bm%7D%7D%5C%5C%5C%5CSquaring%5C%20both%5C%20sides%2C%5C%20we%5C%20get%3A%5C%5C%5C%5C%282%5Cpi%20f%29%5E2%3D%5Cfrac%7Bk%7D%7Bm%7D%5C%5C%5C%5Cm%3D%5Cfrac%7Bk%7D%7B4%5Cpi%5E2%20f%5E2%7D)
Now, plug in the given values and solve for 'm'. This gives,
![m=\frac{24200\ N/m}{4\pi^2\times (0.429\ Hz)^2 }\\\\m=\frac{24200\ N/m}{4\pi^2\times 0.184\ Hz^2}\\\\m\approx3331.5\ kg](https://tex.z-dn.net/?f=m%3D%5Cfrac%7B24200%5C%20N%2Fm%7D%7B4%5Cpi%5E2%5Ctimes%20%280.429%5C%20Hz%29%5E2%20%7D%5C%5C%5C%5Cm%3D%5Cfrac%7B24200%5C%20N%2Fm%7D%7B4%5Cpi%5E2%5Ctimes%200.184%5C%20Hz%5E2%7D%5C%5C%5C%5Cm%5Capprox3331.5%5C%20kg)
Therefore, the mass of the truck is 3331.5 kg.
Answer:
equal to the force the trailer exerts on the road.
Explanation:
Because of the tension of the rope, the force that the SUV exerts on the trailer is equal and opposite to the force that the trailer exerts on the SUV. This is explained in Newton's third law of motion, which states that for every action, there is always an equal and opposite reaction.
Answer: Option (B) is the correct answer.
Explanation:
As we know that the temperature when the vapor pressure of liquid becomes equal to the atmospheric pressure surrounding the liquid. And, during this temperature liquid state of substance changes into vapor state.
But during this process of change in state of substance the temperature will cease to change for some time because unless and until all the liquid molecules do not convert into vapor state the temperature will not rise or change.
As the boiling point of water is
so the temperature ceases to change from
to
.
Therefore, we can conclude that when heating water, during
to
temperature range the temperature will cease to change for some time.