Hydrocarbons are compounds of hydrogen and carbon.
Photosynthesis is a process of nutrition in plants.
Thunder is a sound.
Lightning and electric eels are electrical phenomena in nature.
To solve this exercise it is necessary to apply the concepts related to Centripetal and Perimeter acceleration of a circle.
The perimeter of a circle is defined by
![P = 2\pi r](https://tex.z-dn.net/?f=P%20%3D%202%5Cpi%20r)
Where,
r= radius
While centripetal acceleration is defined by
![a=\frac{v^2}{r}](https://tex.z-dn.net/?f=a%3D%5Cfrac%7Bv%5E2%7D%7Br%7D)
Where,
v= velocity
r= radius
PART A)
The distance of a body can be defined based on the speed and the time traveled, that is
x = v*t
For our values the distance is equal to
x = 15*115=1725m
The plane when going to make the turn from east to south makes a quarter of the circumference that is
![\frac{P}{4} = \frac{2\pi r}{4}](https://tex.z-dn.net/?f=%5Cfrac%7BP%7D%7B4%7D%20%3D%20%5Cfrac%7B2%5Cpi%20r%7D%7B4%7D)
The same route you take is the distance traveled, that is
![x = \frac{P}{4}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7BP%7D%7B4%7D)
![x = \frac{2\pi r}{4}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B2%5Cpi%20r%7D%7B4%7D)
![1725 = \frac{2\pi r}{4}](https://tex.z-dn.net/?f=1725%20%3D%20%5Cfrac%7B2%5Cpi%20r%7D%7B4%7D)
![r = 1098.17m](https://tex.z-dn.net/?f=r%20%3D%201098.17m)
PART B)
With the radius is possible calculate he centripetal acceleration,
![a = \frac{v^2}{r}](https://tex.z-dn.net/?f=a%20%3D%20%5Cfrac%7Bv%5E2%7D%7Br%7D)
![a = \frac{115^2}{1098.17}](https://tex.z-dn.net/?f=a%20%3D%20%5Cfrac%7B115%5E2%7D%7B1098.17%7D)
![a = 12.04m/s^2](https://tex.z-dn.net/?f=a%20%3D%2012.04m%2Fs%5E2)
Therefore the radius of the curva that the plane follows in making the turn is 1098.17m with a centripetal acceleration of ![12.04m/s^2](https://tex.z-dn.net/?f=12.04m%2Fs%5E2)
Explanation:
step 1. a diverging lens is "concave" on both side and always has a negative focal length
step 2. so 1/f = 1/s + 1/s' where f is the focal length, s is the object location, and s' is the image location (f, s, s' are all on the left side of the lens)
step 3. 1/-15 = 1/s + 1/-9 (image is virtual (negative))
step 4. 3/-45 = 1/s + 5/-45
step 5. s = 22.5cm (object is 22.5cm from lens)
step 6. s'/s = 9/22.5 ÷ 0.4 (magnification)
step 7. if the object is 4.5cm then the image is 4.5(0.4) = 1.8cm tall.
Frequency is inversely proportional to wavelength.
Wavelength is the spacial period, and more generally the frequency is inversely proportional to the period.
If the wave's speed if c, then f=c/l where l is the wavelength.