Answer:
density of cube =11.605 g/cm³
Explanation:
density of a substance is the mass per unit volume of that substance.
the density of a substance = ![\frac{mass}{volume}](https://tex.z-dn.net/?f=%5Cfrac%7Bmass%7D%7Bvolume%7D)
volume of a cube = l³,
l = 19.0mm , lets convert mm to cm
1mm = 0.1cm, thus, 19mm =19*0.1 =1.9cm
length of cube =1.9cm
volume of cube = 1.9³
density of cube = ![\frac{79.6}{1.9^{3} }](https://tex.z-dn.net/?f=%5Cfrac%7B79.6%7D%7B1.9%5E%7B3%7D%20%7D)
density of cube =11.605 g/cm³
Answer:
0.28802
2.57162 W
14.28 W
53.55 W
6.07142 W
Explanation:
R = 280Ω
L = 100 mH
C = 0.800 μF
V = 50 V
ω = 10500rad/s
For RLC circuit impedance is given by
![Z=\sqrt{R^2+(X_L-X_C)^2}\\\Rightarrow Z=\sqrt{R^2+(\omega L-\dfrac{1}{\omega C})^2}\\\Rightarrow Z=\sqrt{280^2+(10500\times 100\times 10^{-3}-\dfrac{1}{10500\times 0.8\times 10^{-6}})^2}\\\Rightarrow Z=972.1483\ \Omega](https://tex.z-dn.net/?f=Z%3D%5Csqrt%7BR%5E2%2B%28X_L-X_C%29%5E2%7D%5C%5C%5CRightarrow%20Z%3D%5Csqrt%7BR%5E2%2B%28%5Comega%20L-%5Cdfrac%7B1%7D%7B%5Comega%20C%7D%29%5E2%7D%5C%5C%5CRightarrow%20Z%3D%5Csqrt%7B280%5E2%2B%2810500%5Ctimes%20100%5Ctimes%2010%5E%7B-3%7D-%5Cdfrac%7B1%7D%7B10500%5Ctimes%200.8%5Ctimes%2010%5E%7B-6%7D%7D%29%5E2%7D%5C%5C%5CRightarrow%20Z%3D972.1483%5C%20%5COmega)
Power factor is given by
![F=\dfrac{R}{Z}\\\Rightarrow F=\dfrac{280}{972.1483}\\\Rightarrow F=0.28802](https://tex.z-dn.net/?f=F%3D%5Cdfrac%7BR%7D%7BZ%7D%5C%5C%5CRightarrow%20F%3D%5Cdfrac%7B280%7D%7B972.1483%7D%5C%5C%5CRightarrow%20F%3D0.28802)
The power factor is 0.28802
The average power to the circuit is given by
![P=\dfrac{V^2}{Z}\\\Rightarrow P=\dfrac{50^2}{972.1483}\\\Rightarrow P=2.57162\ W](https://tex.z-dn.net/?f=P%3D%5Cdfrac%7BV%5E2%7D%7BZ%7D%5C%5C%5CRightarrow%20P%3D%5Cdfrac%7B50%5E2%7D%7B972.1483%7D%5C%5C%5CRightarrow%20P%3D2.57162%5C%20W)
The average power to the circuit is 2.57162 W
Power to resistor
![P_R=IR\\\Rightarrow P_R=5.1\times 10^{-2}\times 280\\\Rightarrow P_R=14.28\ W](https://tex.z-dn.net/?f=P_R%3DIR%5C%5C%5CRightarrow%20P_R%3D5.1%5Ctimes%2010%5E%7B-2%7D%5Ctimes%20280%5C%5C%5CRightarrow%20P_R%3D14.28%5C%20W)
Power to resistor is 14.28 W
Power to inductor
![P_L=IX_L\\\Rightarrow P_L=5.1\times 10^{-2}\times 10500\times 100\times 10^{-3}\\\Rightarrow P_L=53.55\ W](https://tex.z-dn.net/?f=P_L%3DIX_L%5C%5C%5CRightarrow%20P_L%3D5.1%5Ctimes%2010%5E%7B-2%7D%5Ctimes%2010500%5Ctimes%20100%5Ctimes%2010%5E%7B-3%7D%5C%5C%5CRightarrow%20P_L%3D53.55%5C%20W)
Power to the inductor is 53.55 W
Power to the capacitor
![P_C=IX_C\\\Rightarrow P_C=5.1\times 10^{-2}\times \dfrac{1}{10500\times 0.8\times 10^{-6}}\\\Rightarrow P_C=6.07142\ W](https://tex.z-dn.net/?f=P_C%3DIX_C%5C%5C%5CRightarrow%20P_C%3D5.1%5Ctimes%2010%5E%7B-2%7D%5Ctimes%20%5Cdfrac%7B1%7D%7B10500%5Ctimes%200.8%5Ctimes%2010%5E%7B-6%7D%7D%5C%5C%5CRightarrow%20P_C%3D6.07142%5C%20W)
The power to the capacitor is 6.07142 W
Turn lights off, unplug electronics, and use solar energy
Answer:
When all the electrons are removed from an atom, it becomes something as a positively charged particles also known as alpha particles.
<u>Explanation:
</u>
The bare nucleus which is positively charged help in scattering experiments as it has high penetrating powers. <em>An atom is made up of electrons, protons and neutrons. We need huge energy to separate the electrons from their parent atom, still making it separated brings you a particle with a positive charge and only mass having high penetrating power.
</em>