Answer:
Flux is 21 Nm^2/C.
Explanation:
Electric field, E = 6 N/C along X axis
Electric filed vector, E = 6 i N/C
Area, A = 4 square meter
Area vector
![\overrightarrow{A} = 4 (cos30 \widehat{i} + sin 30 \widehat{j})\\\\\overrightarrow{A} = 3.5 \widehat{i} + 2 \widehat{j}\\](https://tex.z-dn.net/?f=%5Coverrightarrow%7BA%7D%20%3D%204%20%28cos30%20%5Cwidehat%7Bi%7D%20%2B%20sin%2030%20%5Cwidehat%7Bj%7D%29%5C%5C%5C%5C%5Coverrightarrow%7BA%7D%20%3D%203.5%20%5Cwidehat%7Bi%7D%20%2B%202%20%5Cwidehat%7Bj%7D%5C%5C)
The flux is given by
![\phi= \overrightarrow{E}.\overrightarrow{A}\\\\\phi = 6 \widehat{i} . \left (3.5 \widehat{i} + 2 \widehat{j} \right )\\\\\phi = 21 Nm^2/C](https://tex.z-dn.net/?f=%5Cphi%3D%20%5Coverrightarrow%7BE%7D.%5Coverrightarrow%7BA%7D%5C%5C%5C%5C%5Cphi%20%3D%206%20%5Cwidehat%7Bi%7D%20.%20%20%5Cleft%20%283.5%20%5Cwidehat%7Bi%7D%20%2B%202%20%5Cwidehat%7Bj%7D%20%20%5Cright%20%29%5C%5C%5C%5C%5Cphi%20%3D%2021%20Nm%5E2%2FC)
Kinetic energy is calculated as such:
| therefore, ![KE=0.913598 J](https://tex.z-dn.net/?f=KE%3D0.913598%20J)
The formula for this problem that we will be using is:
F * cos α = m * g * μs where:F = 800m = 87g = 9.8
cos α = m*g*μs/F= 87*9.8*0.55/800= 0.59 So solving the alpha, find the arccos above.
α = arccos 0.59 = 54 ° is the largest value of alpha
Explanation:
<h2><u>Steps </u><u>:</u></h2>
- <u>Move </u><u>decimal</u><u> </u><u>from</u><u> </u><u>left </u><u>to </u><u>right</u><u> </u><u>=</u><u>0</u><u> </u><u>0</u><u>0</u><u>0</u><u>0</u><u>0</u><u>0</u><u>2</u><u>4</u><u>0</u><u>.</u><u>0</u>
- <u>Then </u><u>count </u><u>the</u><u> </u><u>numbers</u><u> </u><u>before</u><u> </u><u>decimal </u><u>and </u><u>w</u><u>rite </u><u>it </u><u>like</u><u> </u><u>this </u><u>=</u><u>2</u><u>4</u><u>0</u><u>.</u><u>0</u><u>x</u><u>1</u><u>0</u><u> </u><u>power-</u><u>9</u><u> </u>
- <u>That's</u><u> </u><u>all </u>
<u>hope</u><u> it</u><u> </u><u>help</u>
<h2><u>#</u><u>H</u><u>o</u><u>p</u><u>e</u></h2>
<span>1 C = 6.24150965(16)×10^18 electrons
31.25 x 10^18 electrons / (6.24150965(16)×10^18 electrons / C) = 5.007 Coulombs
</span><span>I hope this helps. </span>