Answer:
![6.75\mu C/m^2](https://tex.z-dn.net/?f=6.75%5Cmu%20C%2Fm%5E2)
Explanation:
We are given that
Diameter,d=![1\mu m=1\time 10^{-6} m](https://tex.z-dn.net/?f=1%5Cmu%20m%3D1%5Ctime%2010%5E%7B-6%7D%20m)
![1\mu m=10^{-6} m](https://tex.z-dn.net/?f=1%5Cmu%20m%3D10%5E%7B-6%7D%20m)
Radius,r=![\frac{d}{2}=\frac{1}{2}\times 10^{-6}=0.5 \times 10^{-6} m](https://tex.z-dn.net/?f=%5Cfrac%7Bd%7D%7B2%7D%3D%5Cfrac%7B1%7D%7B2%7D%5Ctimes%2010%5E%7B-6%7D%3D0.5%20%5Ctimes%2010%5E%7B-6%7D%20m)
Density,![\rho=900kg/m^3](https://tex.z-dn.net/?f=%5Crho%3D900kg%2Fm%5E3)
Total number of electrons,n=39
Charge on electron =![1.6\times 10^{-19} C](https://tex.z-dn.net/?f=1.6%5Ctimes%2010%5E%7B-19%7D%20C)
Total charge=![q=ne=39\times 1.6\times 10^{-19}=62.4\times 10^{-19} C](https://tex.z-dn.net/?f=q%3Dne%3D39%5Ctimes%201.6%5Ctimes%2010%5E%7B-19%7D%3D62.4%5Ctimes%2010%5E%7B-19%7D%20C)
Distance,s=2mm=![2\times 10^{-3} m](https://tex.z-dn.net/?f=2%5Ctimes%2010%5E%7B-3%7D%20m)
Mass =![density\times volume=900\times \frac{4}{3}\pi r^3=900\times \frac{4}{3}\pi(0.5\times 10^{-6})^3=4.7\times 10^{-16} kg](https://tex.z-dn.net/?f=density%5Ctimes%20volume%3D900%5Ctimes%20%5Cfrac%7B4%7D%7B3%7D%5Cpi%20r%5E3%3D900%5Ctimes%20%5Cfrac%7B4%7D%7B3%7D%5Cpi%280.5%5Ctimes%2010%5E%7B-6%7D%29%5E3%3D4.7%5Ctimes%2010%5E%7B-16%7D%20kg)
Initial velocity,u=0
Final speed,v=4.5 m/s
![v^2-u^2=2as](https://tex.z-dn.net/?f=v%5E2-u%5E2%3D2as)
![(4.5)^2-0=2a(2\times 10^{-3})](https://tex.z-dn.net/?f=%284.5%29%5E2-0%3D2a%282%5Ctimes%2010%5E%7B-3%7D%29)
![20.25=4a\times 10^{-3}](https://tex.z-dn.net/?f=20.25%3D4a%5Ctimes%2010%5E%7B-3%7D)
![a=\frac{20.25}{4\times 10^{-3}}=5062.5m/s^2](https://tex.z-dn.net/?f=a%3D%5Cfrac%7B20.25%7D%7B4%5Ctimes%2010%5E%7B-3%7D%7D%3D5062.5m%2Fs%5E2)
Force,F=ma
![qE=ma](https://tex.z-dn.net/?f=qE%3Dma)
![q(\frac{\sigma}{2\epsilon_0})=ma](https://tex.z-dn.net/?f=q%28%5Cfrac%7B%5Csigma%7D%7B2%5Cepsilon_0%7D%29%3Dma)
![\sigma=\frac{2\epsilon_0ma}{q}=\frac{2\times 8.85\times 10^{-12}\times 4.7\times 10^{-16}\times 5062.5}{62.4\times 10^{-19}}](https://tex.z-dn.net/?f=%5Csigma%3D%5Cfrac%7B2%5Cepsilon_0ma%7D%7Bq%7D%3D%5Cfrac%7B2%5Ctimes%208.85%5Ctimes%2010%5E%7B-12%7D%5Ctimes%204.7%5Ctimes%2010%5E%7B-16%7D%5Ctimes%205062.5%7D%7B62.4%5Ctimes%2010%5E%7B-19%7D%7D)
![\epsilon_0=8.85\times 10^{-12}](https://tex.z-dn.net/?f=%5Cepsilon_0%3D8.85%5Ctimes%2010%5E%7B-12%7D)
![\sigma=6.75\times 10^{-6}C/m^2=6.75\mu C/m^2](https://tex.z-dn.net/?f=%5Csigma%3D6.75%5Ctimes%2010%5E%7B-6%7DC%2Fm%5E2%3D6.75%5Cmu%20C%2Fm%5E2)
Answer:
The direction of the force on the vertical wire is towards the East or right.
Explanation:
Using Fleming's right hand rule, the current is the middle finger pointing straight up, the magnetic field is the fore-finger pointing Northwards and then the thumb is the direction of the force on the vertical wire.
Following these conventions, the thumb points towards the East. So, the direction of the force on the vertical wire is towards the East or right.
Answer:
A: It decreased trade because soldiers no longer protected the oases.
I took it on E2020. I hope I've helped. If you need further explanation, please comment below.
The answer should be 11,460 because the first half-life leaves 50 percent left and the next half-life would leave 25 percent which dates the bones at 11,460 years old.
Answer:
Explanation:
The impact between bat and ball is an extremely violent one, in which the bat imparts a huge force on the ball thereby causing it to change directions and gain speed. Consider a baseball weighing 5.125oz (mass = 0.145kg) which approaches the bat at a speed of 90mph (40.2m/s). After the collision with the bat, with a contact time of 0.7milliseconds (0.0007s)[1,2] the bat has a speed of 110mph (49.1m/s) in the opposite direction.