Answer:
31.2 m/s
Explanation:
= Frequency of approach = 480 Hz
= Frequency of going away = 400 Hz
= Speed of sound in air = 343 m/s
= Speed of truck
Frequency of approach is given as
eq-1
Frequency of moving awayy is given as
eq-2
Dividing eq-1 by eq-2
![\frac{f_{app}}{f_{aw}} = \frac{V + v}{V - v}](https://tex.z-dn.net/?f=%5Cfrac%7Bf_%7Bapp%7D%7D%7Bf_%7Baw%7D%7D%20%3D%20%5Cfrac%7BV%20%2B%20v%7D%7BV%20-%20v%7D)
![\frac{480}{400} = \frac{343 + v}{343 - v}](https://tex.z-dn.net/?f=%5Cfrac%7B480%7D%7B400%7D%20%3D%20%5Cfrac%7B343%20%2B%20v%7D%7B343%20-%20v%7D)
= 31.2 m/s
Answer:
The distance it has traveled is 3,050 m and the magnitude of its displacement is 650 m north.
Explanation:
Distance refers to the length between any two points in space, while displacement refers to the distance from a start position to an end position regardless of the path.
In other words, distance refers to how much space an object travels during its movement; is the quantity moved. It is also said to be the sum of the distances traveled. The distance traveled by a mobile is the length of its trajectory and it is a scalar quantity. In this case, the distance is calculated as:
1850 m + 1200 m= 3,050 m
Displacement refers to the distance and direction of the final position from the initial position of an object. The displacement effected is a vector quantity. The vector representing the displacement has its origin in the initial position, its end in the final position, and its module is the distance in a straight line between the initial and final positions. That is, when expressing the displacement it is done in terms of the magnitude with its respective unit of measurement and the direction because the displacement is a vector type quantity. Mathematically, the displacement (Δd) is calculated as:
Δd= df - di
where df is the final position and di is the initial position of the object.
In this case, the displacement is calculated as:
1850 m - 1200 m= 650 m
Since the distance to the north is greater, the direction of travel will be to the north.
<u><em>The distance it has traveled is 3,050 m and the magnitude of its displacement is 650 m north.</em></u>
Displacement is the final position of the object minus the initial position of the object.
Xf - Xi. Displacement is not the distance of the object. If you go to the right 10m and to the left another 10m, your displacement is 0m. But your distance is 20m
Explanation:
We need to calculate the speed of light in each materials
(I). Gallium phosphide,
The index of refraction of Gallium phosphide is 3.50
Using formula of speed of light
....(I)
Where,
= index of refraction
c = speed of light
Put the value into the formula
![v=\dfrac{3\times10^{8}}{3.50}](https://tex.z-dn.net/?f=v%3D%5Cdfrac%7B3%5Ctimes10%5E%7B8%7D%7D%7B3.50%7D)
![v=8.6\times10^{7}\ m/s](https://tex.z-dn.net/?f=v%3D8.6%5Ctimes10%5E%7B7%7D%5C%20m%2Fs)
(II) Carbon disulfide,
The index of refraction of Gallium phosphide is 1.63
Put the value in the equation (I)
![v=\dfrac{3\times10^{8}}{1.63}](https://tex.z-dn.net/?f=v%3D%5Cdfrac%7B3%5Ctimes10%5E%7B8%7D%7D%7B1.63%7D)
![v=1.8\times10^{8}\ m/s](https://tex.z-dn.net/?f=v%3D1.8%5Ctimes10%5E%7B8%7D%5C%20m%2Fs)
(III). Benzene,
The index of refraction of Gallium phosphide is 1.50
Put the value in the equation (I)
![v=\dfrac{3\times10^{8}}{1.50}](https://tex.z-dn.net/?f=v%3D%5Cdfrac%7B3%5Ctimes10%5E%7B8%7D%7D%7B1.50%7D)
![v=2\times10^{8}\ m/s](https://tex.z-dn.net/?f=v%3D2%5Ctimes10%5E%7B8%7D%5C%20m%2Fs)
Hence, This is the required solution.