Answer: State laws take precedence over UETA
Explanation: The UETA is an attempt to standardize acceptance of electronic documents and signatures, but state laws govern the use of these electronic items.
Given:
initial angular speed,
= 21.5 rad/s
final angular speed,
= 28.0 rad/s
time, t = 3.50 s
Solution:
Angular acceleration can be defined as the time rate of change of angular velocity and is given by:
![\alpha = \frac{\omega_{f} - \omega _{i}}{t}](https://tex.z-dn.net/?f=%5Calpha%20%3D%20%5Cfrac%7B%5Comega_%7Bf%7D%20-%20%5Comega%20_%7Bi%7D%7D%7Bt%7D)
Now, putting the given values in the above formula:
![\alpha = \frac{28.0 - 21.5}{3.50}](https://tex.z-dn.net/?f=%5Calpha%20%3D%20%5Cfrac%7B28.0%20-%2021.5%7D%7B3.50%7D)
![\alpha = 1.86 m/s^{2}](https://tex.z-dn.net/?f=%5Calpha%20%3D%201.86%20m%2Fs%5E%7B2%7D)
Therefore, angular acceleration is:
![\alpha = 1.86 m/s^{2}](https://tex.z-dn.net/?f=%5Calpha%20%3D%201.86%20m%2Fs%5E%7B2%7D)
Answer:
The image is produced 60 cm behind the mirror
The focal length of the mirror is 30 cm
Explanation:
u = Object distance = 20 cm
v = Image distance
f = Focal length
m = Magnification = 3
![m=-\frac{v}{u}\\\Rightarrow 3=-\frac{v}{20}\\\Rightarrow v=-3\times 20\\\Rightarrow v=-60\ cm](https://tex.z-dn.net/?f=m%3D-%5Cfrac%7Bv%7D%7Bu%7D%5C%5C%5CRightarrow%203%3D-%5Cfrac%7Bv%7D%7B20%7D%5C%5C%5CRightarrow%20v%3D-3%5Ctimes%2020%5C%5C%5CRightarrow%20v%3D-60%5C%20cm)
The image is produced 60 cm behind the mirror
![\frac{1}{f}=\frac{1}{u}+\frac{1}{v}\\\Rightarrow \frac{1}{f}=\frac{1}{20}+\frac{1}{-60}\\\Rightarrow \frac{1}{f}=\frac{1}{30}\\\Rightarrow f=\frac{30}{1}=30\ cm](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7Bf%7D%3D%5Cfrac%7B1%7D%7Bu%7D%2B%5Cfrac%7B1%7D%7Bv%7D%5C%5C%5CRightarrow%20%5Cfrac%7B1%7D%7Bf%7D%3D%5Cfrac%7B1%7D%7B20%7D%2B%5Cfrac%7B1%7D%7B-60%7D%5C%5C%5CRightarrow%20%5Cfrac%7B1%7D%7Bf%7D%3D%5Cfrac%7B1%7D%7B30%7D%5C%5C%5CRightarrow%20f%3D%5Cfrac%7B30%7D%7B1%7D%3D30%5C%20cm)
The focal length of the mirror is 30 cm
<span>When the delta brainwave frequencies increase into the frequency of theta brainwaves,
active dreaming takes place and often becomes more experiential to the
person. Typically, when this occurs there is rapid eye movement, which
is characteristic of active dreaming. This is called REM, and is a well
known phenomenon.. Hope that helps!</span>
All of the light bulbs in the series circuit would go out.