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)
Impulse describes the change of momentum. Since we don't know the momentum of the soccer ball before the hit, this question is hard to answer. If you assume the momentum of the ball before the hit was p = 0, then the change in momentum is just Δp = Impulse = mv.
Answer:
η = 0.882 = 88.2 %
Explanation:
The efficiency of the pulley system can be given as follows:
![\eta = \frac{W_{out}}{W_{In}}\\\\](https://tex.z-dn.net/?f=%5Ceta%20%3D%20%5Cfrac%7BW_%7Bout%7D%7D%7BW_%7BIn%7D%7D%5C%5C%5C%5C)
where,
η = efficiency of pulley system = ?
W_out = Output Work = (600 N)(0.6 m) = 360 J
W_in = Input Work = (35.7 N)(11.43 m) = 408.051 J
Therefore,
![\eta = \frac{360\ J}{408.051\ J}](https://tex.z-dn.net/?f=%5Ceta%20%3D%20%5Cfrac%7B360%5C%20J%7D%7B408.051%5C%20J%7D)
<u>η = 0.882 = 88.2 %</u>
The word "static" would be known to be friction as air rushing against an airplane