Answer:
define 1 second time
One second is the time that elapses during 9,192,631,770 (9.192631770 x 10 9 ) cycles of the radiation produced by the transition between two levels of the cesium 133 atom. ... One second is equal to 1/86,400 of a mean solar day.
I think the correct answer from the choices listed above is option D. Galaxies exist in the universe as they form clusters that are light-years away from other clusters. Other choices are really far away from the truth. Hope this answers the question. Have a nice day.
Answer:
![E_y=1175510.2\ N.C^{-1}](https://tex.z-dn.net/?f=E_y%3D1175510.2%5C%20N.C%5E%7B-1%7D)
The Magnitude of electric field is in the upward direction as shown directly towards the charge
.
Explanation:
Given:
- side of a square,
![a=52.5\ cm](https://tex.z-dn.net/?f=a%3D52.5%5C%20cm)
- charge on one corner of the square,
![q_1=+45\times 10^{-6}\ C](https://tex.z-dn.net/?f=q_1%3D%2B45%5Ctimes%2010%5E%7B-6%7D%5C%20C)
- charge on the remaining 3 corners of the square,
![q_2=q_3=q_4=-27\times 10^{-6}\ C](https://tex.z-dn.net/?f=q_2%3Dq_3%3Dq_4%3D-27%5Ctimes%2010%5E%7B-6%7D%5C%20C)
<u>Distance of the center from each corners</u>![=\frac{1}{2} \times diagonals](https://tex.z-dn.net/?f=%3D%5Cfrac%7B1%7D%7B2%7D%20%5Ctimes%20diagonals)
![diagonal=\sqrt{52.5^2+52.5^2}](https://tex.z-dn.net/?f=diagonal%3D%5Csqrt%7B52.5%5E2%2B52.5%5E2%7D)
![diagonal=74.25\cm=0.7425\ m](https://tex.z-dn.net/?f=diagonal%3D74.25%5Ccm%3D0.7425%5C%20m)
∴Distance of center from corners, ![b=0.3712\ m](https://tex.z-dn.net/?f=b%3D0.3712%5C%20m)
Now, electric field due to charges is given as:
![E=\frac{1}{4\pi\epsilon_0}\times \frac{q}{b^2}](https://tex.z-dn.net/?f=E%3D%5Cfrac%7B1%7D%7B4%5Cpi%5Cepsilon_0%7D%5Ctimes%20%5Cfrac%7Bq%7D%7Bb%5E2%7D)
<u>For charge
we have the field lines emerging out of the charge since it is positively charged:</u>
![E_1=9\times 10^9\times \frac{45\times 10^{-6}}{0.3712^2}](https://tex.z-dn.net/?f=E_1%3D9%5Ctimes%2010%5E9%5Ctimes%20%5Cfrac%7B45%5Ctimes%2010%5E%7B-6%7D%7D%7B0.3712%5E2%7D)
<u>Force by each of the charges at the remaining corners:</u>
![E_2=E_3=E_4=9\times 10^9\times \frac{27\times 10^{-6}}{0.3712^2}](https://tex.z-dn.net/?f=E_2%3DE_3%3DE_4%3D9%5Ctimes%2010%5E9%5Ctimes%20%5Cfrac%7B27%5Ctimes%2010%5E%7B-6%7D%7D%7B0.3712%5E2%7D)
<u> Now, net electric field in the vertical direction:</u>
![E_y=E_1-E_4](https://tex.z-dn.net/?f=E_y%3DE_1-E_4)
![E_y=1175510.2\ N.C^{-1}](https://tex.z-dn.net/?f=E_y%3D1175510.2%5C%20N.C%5E%7B-1%7D)
<u>Now, net electric field in the horizontal direction:</u>
![E_y=E_2-E_3](https://tex.z-dn.net/?f=E_y%3DE_2-E_3)
![E_y=0\ N.C^{-1}](https://tex.z-dn.net/?f=E_y%3D0%5C%20N.C%5E%7B-1%7D)
So the Magnitude of electric field is in the upward direction as shown directly towards the charge
.
15) a
16) b
17) a
Hope this helps
Use Factor-Label Method:
8miles 63360 inches
---------- X --------------------- X
1 1 mile
2.54cm 1 meter
X ------------ X ---------------- X
1 inch 100 cm
1 km
----------------- = 12.87 km
1000meters
8 miles = 12.87 km