I believe if it were heavier with more mass, then the sun would pull it in and there would be no mercury. It might also be hotter.
I believe it’s A. I know for sure it isn’t D.
Answer:no it is staying the same speed
Explanation:
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)