The earth rotates from west to east :)
Answer:
A) d_o = 20.7 cm
B) h_i = 1.014 m
Explanation:
A) To solve this, we will use the lens equation formula;
1/f = 1/d_o + 1/d_i
Where;
f is focal Length = 20 cm = 0.2
d_o is object distance
d_i is image distance = 6m
1/0.2 = 1/d_o + 1/6
1/d_o = 1/0.2 - 1/6
1/d_o = 4.8333
d_o = 1/4.8333
d_o = 0.207 m
d_o = 20.7 cm
B) to solve this, we will use the magnification equation;
M = h_i/h_o = d_i/d_o
Where;
h_o = 3.5 cm = 0.035 m
d_i = 6 m
d_o = 20.7 cm = 0.207 m
Thus;
h_i = (6/0.207) × 0.035
h_i = 1.014 m
The answer is C. Final position minus initial position.
Answer:
The relationship between the initial stored energy
and the stored energy after the dielectric is inserted
is:
c) ![PE_{f} =0.5\ PE_{i}](https://tex.z-dn.net/?f=PE_%7Bf%7D%20%3D0.5%5C%20PE_%7Bi%7D)
Explanation:
A parallel plate capacitor with
that is connected to a voltage source
holds a charge of
. Then we disconnect the voltage source and keep the charge
constant . If we insert a dielectric of
between the plates while we keep the charge constant, we found that the potential decreases as:
![V=\frac{V_{o}}{\kappa}](https://tex.z-dn.net/?f=V%3D%5Cfrac%7BV_%7Bo%7D%7D%7B%5Ckappa%7D)
The capacitance is modified as:
![C=\frac{Q}{V} =\kappa\frac{Q_{o}}{V_{o}}=\kappa\ C_{o}](https://tex.z-dn.net/?f=C%3D%5Cfrac%7BQ%7D%7BV%7D%20%3D%5Ckappa%5Cfrac%7BQ_%7Bo%7D%7D%7BV_%7Bo%7D%7D%3D%5Ckappa%5C%20C_%7Bo%7D)
The stored energy without the dielectric is
The stored energy after the dielectric is inserted is:
![PE_{f}=\frac{1}{2}\frac{Q^{2}}{C}=\frac{1}{2}CV^{2}](https://tex.z-dn.net/?f=PE_%7Bf%7D%3D%5Cfrac%7B1%7D%7B2%7D%5Cfrac%7BQ%5E%7B2%7D%7D%7BC%7D%3D%5Cfrac%7B1%7D%7B2%7DCV%5E%7B2%7D)
If we replace in the above equation the values of V and C we get that
![PE_{f}=\frac{1}{2}\kappa\ C_{o}(\frac{V_{o}}{\kappa})^{2}=\frac{1}{\kappa}(\frac{1}{2}C_{o}V_{o}^{2})](https://tex.z-dn.net/?f=PE_%7Bf%7D%3D%5Cfrac%7B1%7D%7B2%7D%5Ckappa%5C%20C_%7Bo%7D%28%5Cfrac%7BV_%7Bo%7D%7D%7B%5Ckappa%7D%29%5E%7B2%7D%3D%5Cfrac%7B1%7D%7B%5Ckappa%7D%28%5Cfrac%7B1%7D%7B2%7DC_%7Bo%7DV_%7Bo%7D%5E%7B2%7D%29)
![PE_{f} =\frac{PE_{i}}{\kappa}](https://tex.z-dn.net/?f=PE_%7Bf%7D%20%3D%5Cfrac%7BPE_%7Bi%7D%7D%7B%5Ckappa%7D)
Finally
![PE_{f} =0.5\ PE_{i}](https://tex.z-dn.net/?f=PE_%7Bf%7D%20%3D0.5%5C%20PE_%7Bi%7D)
Answer: the expanding universe
Explanation:
Hope that helps!