Answer:
The charge on the dust particle is ![q_d = 6.94 *10^{-13} \ C](https://tex.z-dn.net/?f=q_d%20%20%3D%206.94%20%2A10%5E%7B-13%7D%20%5C%20%20C)
Explanation:
From the question we are told that
The length is ![l = 2.0 \ m](https://tex.z-dn.net/?f=l%20%3D%202.0%20%5C%20m)
The width is ![w = 4.0 \ m](https://tex.z-dn.net/?f=w%20%3D%204.0%20%5C%20m)
The charge is ![q = -10\mu C= -10*10^{-6} \ C](https://tex.z-dn.net/?f=q%20%3D%20%20-10%5Cmu%20C%3D%20-10%2A10%5E%7B-6%7D%20%5C%20C)
The mass suspended in mid-air is ![m_a = 5.0 \mu g = 5.0 *10^{-6} \ g = 5.0 *10^{-9} \ kg](https://tex.z-dn.net/?f=m_a%20%3D%20%205.0%20%5Cmu%20g%20%3D%20%205.0%20%2A10%5E%7B-6%7D%20%5C%20g%20%3D%20%205.0%20%2A10%5E%7B-9%7D%20%5C%20%20kg)
Generally the electric field on the carpet is mathematically represented as
![E = \frac{q}{ 2 * A * \epsilon _o}](https://tex.z-dn.net/?f=E%20%3D%20%20%5Cfrac%7Bq%7D%7B%202%20%2A%20%20A%20%20%2A%20%20%5Cepsilon%20_o%7D)
Where
is the permittivity of free space with value ![\epsilon_o = 8.85*10^{-12} \ \ m^{-3} \cdot kg^{-1}\cdot s^4 \cdot A^2](https://tex.z-dn.net/?f=%5Cepsilon_o%20%3D%208.85%2A10%5E%7B-12%7D%20%20%5C%20%5C%20%20m%5E%7B-3%7D%20%5Ccdot%20kg%5E%7B-1%7D%5Ccdot%20%20s%5E4%20%5Ccdot%20A%5E2)
substituting values
![E = \frac{-10*10^{-6}}{ 2 * (2 * 4 ) * 8.85*10^{-12}}](https://tex.z-dn.net/?f=E%20%3D%20%20%5Cfrac%7B-10%2A10%5E%7B-6%7D%7D%7B%202%20%2A%20%20%282%20%2A%204%20%29%20%20%2A%20%208.85%2A10%5E%7B-12%7D%7D)
![E = -70621.5 \ N/C](https://tex.z-dn.net/?f=E%20%3D%20-70621.5%20%5C%20%20N%2FC)
Generally the electric force keeping the dust particle on the air equal to the force of gravity acting on the particles
![F__{E}} = F__{G}}](https://tex.z-dn.net/?f=F__%7BE%7D%7D%20%3D%20%20F__%7BG%7D%7D)
=> ![q_d * E = m * g](https://tex.z-dn.net/?f=q_d%20%2A%20%20E%20%20%3D%20%20m%20%2A%20g)
=> ![q_d = \frac{m * g}{E}](https://tex.z-dn.net/?f=q_d%20%20%3D%20%20%5Cfrac%7Bm%20%2A%20g%7D%7BE%7D)
=> ![q_d = \frac{5.0 *10^{-9} * 9.8}{70621.5}](https://tex.z-dn.net/?f=q_d%20%20%3D%20%20%5Cfrac%7B5.0%20%2A10%5E%7B-9%7D%20%2A%209.8%7D%7B70621.5%7D)
=> ![q_d = 6.94 *10^{-13} \ C](https://tex.z-dn.net/?f=q_d%20%20%3D%206.94%20%2A10%5E%7B-13%7D%20%5C%20%20C)
After a thorough research, there exists the same question that has choices and the link of the graph (http://i37.servimg.com/u/f37/16/73/53/52/graph410.png)
<span>Choices:
A. 160 meters
B. 80 meters
C. 40 meters
D. 20 meters
E. 0 meters
</span>
The correct answer is letter E. 0 meters.
Answer:
I don't knowI think it will break
Answer:
The statement is true.
Both gravity and centrifugal force act on the Moon which causes it get pulled towards Earth (gravity) and get "flung away" so it doesn't hit us (centrifugal force).
Sherry who says one factor is the length of the path of sunlight is correct.
<h3>
Factors affecting light scattering</h3>
There are two main factors which affects light scattering, and they include the following;
- the size of the particles
- wavelength of the light
length of the path of sunlight is equivalent to wavelength of the light.
Thus, we can conclude that Sherry who says one factor is the length of the path of sunlight is correct.
Learn more about light scattering here: brainly.com/question/1381101
#SPJ1