Answer:
f'=5.58kHz
Explanation:
This is an example of the Doppler effect, the formula is:
![f'=\frac{(v+v_o)}{(v+v_s)}f](https://tex.z-dn.net/?f=f%27%3D%5Cfrac%7B%28v%2Bv_o%29%7D%7B%28v%2Bv_s%29%7Df)
Where f is the actual frequency,
is the observed frequency,
is the velocity of the sound waves,
the velocity of the observer (which is negative if the observer is moving away from the source) and
the velocity of the source (which is negative if is moving towards the observer). For this problem:
![f=3.72kHz\\v=342m/s\\v_o=0m/s\\v_s=-114m/s](https://tex.z-dn.net/?f=f%3D3.72kHz%5C%5Cv%3D342m%2Fs%5C%5Cv_o%3D0m%2Fs%5C%5Cv_s%3D-114m%2Fs)
![f'=\frac{(342+0)}{(342-114)}3.72\times10^3\\f'=\frac{342}{228}3.72\times10^3\\f'=(1.5)3.72\times10^3\\f'=5580Hz=5.58kHz](https://tex.z-dn.net/?f=f%27%3D%5Cfrac%7B%28342%2B0%29%7D%7B%28342-114%29%7D3.72%5Ctimes10%5E3%5C%5Cf%27%3D%5Cfrac%7B342%7D%7B228%7D3.72%5Ctimes10%5E3%5C%5Cf%27%3D%281.5%293.72%5Ctimes10%5E3%5C%5Cf%27%3D5580Hz%3D5.58kHz)
Protons, neutrons, and electrons<span> are the three main subatomic particles found in an atom.</span>
Answer:
a
The hiker (you ) is 200 m below his/her(your) starting point
b
The resultant displacement in the north east direction is
![a = 6562.0 \ m](https://tex.z-dn.net/?f=a%20%20%3D%206562.0%20%5C%20%20m%20)
The resultant displacement in vertical direction (i.e the altitude change )
![b =6503.1 \ m](https://tex.z-dn.net/?f=b%20%3D6503.1%20%5C%20%20m%20)
Explanation:
From the question we are told that
The displacement in the morning is ![S_{morning} = (2200 \m , east) + (4000\ m\ north) + (100 \ m ,\ vertical)](https://tex.z-dn.net/?f=S_%7Bmorning%7D%20%3D%20%20%282200%20%5Cm%20%2C%20east%29%20%2B%20%284000%5C%20m%5C%20north%29%20%2B%20%28100%20%5C%20m%20%2C%5C%20vertical%29)
The displacement in the afternoon is ![S _{afternoon}= (1300\ m ,\ west) + (2500 \ m ,\ north) - (300\ m ,\ vertical)](https://tex.z-dn.net/?f=S%20_%7Bafternoon%7D%3D%20%281300%5C%20m%20%2C%5C%20west%29%20%2B%20%282500%20%5C%20m%20%2C%5C%20north%29%20-%20%28300%5C%20m%20%2C%5C%20vertical%29)
Generally the direction west is negative , the direction east is positive
the direction south is negative , the direction north is positive
resultant displacement is mathematically evaluated as
![(2200 \m , east) +( - 1300\ m ,\ west) = 900 \ m \ east](https://tex.z-dn.net/?f=%282200%20%5Cm%20%2C%20east%29%20%2B%28%20-%201300%5C%20m%20%2C%5C%20west%29%20%3D%20900%20%5C%20m%20%5C%20east)
![(4000\ m\ north) + (2500 \ m ,\ north) = 6500 \ m ,\ north](https://tex.z-dn.net/?f=%284000%5C%20m%5C%20north%29%20%20%2B%20%282500%20%5C%20m%20%2C%5C%20north%29%20%3D%206500%20%20%5C%20m%20%2C%5C%20north)
![(100 \ m ,\ vertical) - (300\ m ,\ vertical) = -200 \ m](https://tex.z-dn.net/?f=%28100%20%5C%20m%20%2C%5C%20vertical%29%20-%20%28300%5C%20m%20%2C%5C%20vertical%29%20%3D%20-200%20%5C%20m)
From the above calculation we see that at the end of the hiking the hiker (you) is 200 m below his/her(your) initial position
Generally from Pythagoras theorem , the resultant displacement in the north east direction is
![a = \sqrt{900^2 + 6500^2}](https://tex.z-dn.net/?f=a%20%20%3D%20%20%5Csqrt%7B900%5E2%20%2B%206500%5E2%7D)
=> ![a = 6562.0 \ m](https://tex.z-dn.net/?f=a%20%20%3D%206562.0%20%5C%20%20m%20)
Generally from Pythagoras theorem , the resultant displacement in vertical direction (i.e the altitude change )
![b = \sqrt{6500^2 +(-200)^2 }](https://tex.z-dn.net/?f=b%20%3D%20%5Csqrt%7B6500%5E2%20%2B%28-200%29%5E2%20%20%7D)
=> ![b =6503.1 \ m](https://tex.z-dn.net/?f=b%20%3D6503.1%20%5C%20%20m%20)
Answer:10 km westExplanation:he go 40 east then 50 west 50-40 is 10 so he displaces 10 km and as west is more than east in terms of km so we will say that it's 10 km west pls mark as brainliest thanks
Answer:
a. Power = 1000 Watts or 1 Kilowatts.
b. Current = 4 Amperes.
Explanation:
Given the following data;
Energy consumed = 1.8MJ = 1.8 × 10^6 = 1800000 Joules
Voltage = 250V
Time = 30 minutes to seconds = 30 * 60 = 1800 seconds
To find the power rating;
Power = energy/time
Substituting into the equation, we have;
Power = 1800000/1800
Power = 1000 Watts or 1 Kilowatts.
b. To find the current taken from the supply;
Power = current * voltage
1000 = current * 250
Current = 1000/250
Current = 4 Amperes.