Answer:
57 %
Explanation:
input power = 16.4 kW = 16.4 x 10^3 W = 16400 W
Water pumped per second = 67 L/s
Mass of water pumped per second, m = Volume of water pumped epr second x density of water
m = 67 x 10^-3 x 1000 = 67 kg/s
height raised, h = 14 m
Output Power = m x g x h / t = 67 x 10 x 14 = 9380 W
efficiency = output power / input power = 9380 / 16400 = 0.57
% efficiency = 57 %
thus, the efficiency of the pump is 57 %.
Answer:
<u>because of the doppler effect</u>
Explanation:
<em>Remember</em>, the doppler effect refers to the changes in sound (frequency of sound) observed by a person who is in a position relative to the wave source.
In this example, we notice as the train comes closer to the boy, the sound becomes louder also increasing the pitch slightly, the doppler effect sets in when the train passes the boy because the boy notices a decrease in the pitch of the moving train.
We learn from the change in the observed sound of the train that the frequency of the sound is determined by the distance of the observer from the wave source.
In other words, the closer the source of the sound to the observer; the faster it travels to the observer, however, the farther it is; the lesser it is; the greater the sound heard.
<u>Answer:</u>
<em>Thunderbird is 995.157 meters behind the Mercedes</em>
<u>Explanation:</u>
It is given that all the cars were moving at a speed of 71 m/s when the driver of Thunderbird decided to take a pit stop and slows down for 250 m. She spent 5 seconds in the pit stop.
Here final velocity ![v=0 \ m/s](https://tex.z-dn.net/?f=v%3D0%20%5C%20m%2Fs)
initial velocity
distance
Distance covered in the slowing down phase = ![250 m](https://tex.z-dn.net/?f=250%20m)
![v^2-u^2=2as](https://tex.z-dn.net/?f=v%5E2-u%5E2%3D2as)
![a= \frac {(v^2-u^2)}{2s}](https://tex.z-dn.net/?f=a%3D%20%5Cfrac%20%7B%28v%5E2-u%5E2%29%7D%7B2s%7D)
![a = \frac {(0^2-71^2)}{(2 \times 250)}=-10.082 \ m/s^2](https://tex.z-dn.net/?f=a%20%3D%20%5Cfrac%20%7B%280%5E2-71%5E2%29%7D%7B%282%20%5Ctimes%20250%29%7D%3D-10.082%20%5C%20m%2Fs%5E2)
![v=u+at](https://tex.z-dn.net/?f=v%3Du%2Bat)
![t= \frac {(v-u)}{a}](https://tex.z-dn.net/?f=t%3D%20%5Cfrac%20%7B%28v-u%29%7D%7Ba%7D)
![= \frac {(0-71)}{(-10.082)}=7.042 s](https://tex.z-dn.net/?f=%3D%20%5Cfrac%20%7B%280-71%29%7D%7B%28-10.082%29%7D%3D7.042%20s)
![t_1=7.042 s](https://tex.z-dn.net/?f=t_1%3D7.042%20s)
The car is in the pit stop for 5s ![t_2=5 s](https://tex.z-dn.net/?f=t_2%3D5%20s)
After restart it accelerates for 350 m to reach the earlier velocity 71 m/s
![a= \frac {(v^2-u^2)}{(2\times s)} = \frac{(71^2-0^2)}{(2 \times 370)} =6.81 \ m/s^2](https://tex.z-dn.net/?f=a%3D%20%5Cfrac%20%7B%28v%5E2-u%5E2%29%7D%7B%282%5Ctimes%20s%29%7D%20%3D%20%5Cfrac%7B%2871%5E2-0%5E2%29%7D%7B%282%20%5Ctimes%20370%29%7D%20%3D6.81%20%5C%20m%2Fs%5E2)
![v=u+at](https://tex.z-dn.net/?f=v%3Du%2Bat)
![t= \frac{(v-u)}{a}](https://tex.z-dn.net/?f=t%3D%20%5Cfrac%7B%28v-u%29%7D%7Ba%7D)
![t= \frac{(71-0)}{6.81}= 10.425 s](https://tex.z-dn.net/?f=t%3D%20%5Cfrac%7B%2871-0%29%7D%7B6.81%7D%3D%2010.425%20s)
![t_3=10.425 s](https://tex.z-dn.net/?f=t_3%3D10.425%20s)
total time= ![t_1 +t_2+t_3=7.042+5+10.425=22.467 s](https://tex.z-dn.net/?f=t_1%20%2Bt_2%2Bt_3%3D7.042%2B5%2B10.425%3D22.467%20s)
Distance covered by the Mercedes Benz during this time is given by ![s=vt=71 \times 22.467= 1595.157 m](https://tex.z-dn.net/?f=s%3Dvt%3D71%20%5Ctimes%2022.467%3D%201595.157%20m)
Distance covered by the Thunderbird during this time=![250+350=600 m](https://tex.z-dn.net/?f=250%2B350%3D600%20m)
Difference between distance covered by the Mercedes and Thunderbird
= ![1595.157-600=995.157 m](https://tex.z-dn.net/?f=1595.157-600%3D995.157%20m)
Thus the Mercedes is 995.157 m ahead of the Thunderbird.
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We can see the image in most detail that having 400x magnification as compared to 100x.
<h3>What is magnification?</h3>
Magnification is the process in which the size of an object is enlarging but not physical size of something. Those instruments having high magnification power can shows us the image larger and due to which we can see that image clearly.
So we can conclude that we can see the image in most detail that having 400x magnification.
Learn more about telescope here: brainly.com/question/18300677