<span>So we want to know is it true or false that the Sun is the ultimate source of energy on Earth. The answer is true because fossil fuels are solar energy trapped in the Earth's surface. Water cycle is dependent on solar radiation and we use water to produce electricity. We use solar panels to produce electrical energy. And also, all plant life harvests solar energy. </span>
Answer:
d’= (0.561 i ^ - 0.634 j ^) m
, d’= 0.847 m
, 48.5 south east
Explanation:
This is a displacement exercise, one of the easiest methods to solve it is to decompose the displacements in a coordinate system. Let's start with beetle 1
Let's use trigonometry to break down your second displacement
d₂ = 0.89 m θ = 32 north east
sin θ =
/ d₂
d_{2y} = d2 sin 32
d_{2y} = 0.89 sin 32
d_{2y} = 0.472 m
cos 32 = d₂ₓ / d₂
d₂ₓ = d₂ cos 32
d₂ₓ = 0.89 cos 32
d₂ₓ = 0.755 m
We found the total displacement of the beetle 1
X axis
d₁ = 0.58 i ^
Dₓ = d₁ + d₂ₓ
Dₓ = 0.58 + 0.755
Dₓ = 1,335 m
Axis y
D_{y} = d_{2y}
D_{y} = 0.472 m
Now let's analyze the second beetle
d₃ = 1.37 m θ = 35 north east
Sin (90-35) = d_{3y} / d₃
d_{3y} = d₃ sin 55
d_{3y} = 1.35 sin 55
d_{3y} = 1,106 m
cos 55 = d₃ₓ / d₃
d₃ₓ = d₃ cos 55
d₃ₓ = 1.35 cos 55
d₃ₓ = 0.774 m
They ask us what the second displacement should be to have the same location as the beetle 1
Dₓ = d₃ₓ + dx’
D_{y} = d_{3y} + dy’
dx’= Dₓ - d₃ₓ
dx’= 1.335 - 0.774
dx’= 0.561 m
dy’= D_{y} - d_{3y}
dy’= 0.472 - 1,106
dy’= -0.634 m
We can give the result in two ways
d’= (0.561 i ^ - 0.634 j ^) m
Or in the form of module and address
d’= √ (dx’² + dy’²)
d’= √ (0.561² + 0.634²)
d’= 0.847 m
tan θ = dy’/ dx’
θ = tan⁻¹ dy ’/ dx’
θ = tan⁻¹ (-0.634 / 0.561)
θ = -48.5
º
This is 48.5 south east
Since the Units presented are not in the International System we will proceed to convert them. We know that,
![1 mi/h = 0.447 m/s](https://tex.z-dn.net/?f=1%20mi%2Fh%20%3D%200.447%20m%2Fs)
So the speed in SI would be
![V=95mi/h(\frac{0.447m/s}{1mi/h})](https://tex.z-dn.net/?f=V%3D95mi%2Fh%28%5Cfrac%7B0.447m%2Fs%7D%7B1mi%2Fh%7D%29)
![V=42.465 m/s](https://tex.z-dn.net/?f=V%3D42.465%20m%2Fs)
The change in frequency when the wave is reflected is
![f'=f(1+\frac{V}{c})](https://tex.z-dn.net/?f=f%27%3Df%281%2B%5Cfrac%7BV%7D%7Bc%7D%29)
Or we can rearrange the equation as
![f' = f + f\frac{V}{c}](https://tex.z-dn.net/?f=f%27%20%3D%20f%20%2B%20f%5Cfrac%7BV%7D%7Bc%7D)
f' = Apparent frequency
f = Original Frequency
c = Speed of light
![f'-f = f\frac{V}{c}](https://tex.z-dn.net/?f=f%27-f%20%3D%20f%5Cfrac%7BV%7D%7Bc%7D)
![\Delta f = f\frac{V}{c}](https://tex.z-dn.net/?f=%5CDelta%20f%20%3D%20f%5Cfrac%7BV%7D%7Bc%7D)
Replacing,
![\Delta f = (10.525*10^9)(\frac{42.465}{3*10^8})](https://tex.z-dn.net/?f=%5CDelta%20f%20%3D%20%2810.525%2A10%5E9%29%28%5Cfrac%7B42.465%7D%7B3%2A10%5E8%7D%29)
![\Delta f =1489.8 Hz](https://tex.z-dn.net/?f=%5CDelta%20f%20%3D1489.8%20Hz)
Since the waves are reflected, hence the change in frequency at the gun is equal to twice the change in frequency
![\Delta f_T = 2 \Delta f](https://tex.z-dn.net/?f=%5CDelta%20f_T%20%3D%202%20%5CDelta%20f)
![\Delta f_T = 2(1489.8Hz)](https://tex.z-dn.net/?f=%5CDelta%20f_T%20%3D%202%281489.8Hz%29)
![\Delta f_T = 2979.63Hz](https://tex.z-dn.net/?f=%5CDelta%20f_T%20%3D%202979.63Hz)
Therefore the increase in frequency is 2979.63Hz
Answer:
![1.3922\times 10^{-8}\ s](https://tex.z-dn.net/?f=1.3922%5Ctimes%2010%5E%7B-8%7D%5C%20s)
Explanation:
= Distance covered = 1 m
= Time taken = 3.44 ns
c = Speed of light = ![3\times 10^8\ m/s](https://tex.z-dn.net/?f=3%5Ctimes%2010%5E8%5C%20m%2Fs)
Velocity would be
![v=\frac{\Delta x}{\Delta t_l}\\\Rightarrow v=\frac{1}{3.44\times 10^{-9}}\\\Rightarrow v=290697674.4186\ m/s](https://tex.z-dn.net/?f=v%3D%5Cfrac%7B%5CDelta%20x%7D%7B%5CDelta%20t_l%7D%5C%5C%5CRightarrow%20v%3D%5Cfrac%7B1%7D%7B3.44%5Ctimes%2010%5E%7B-9%7D%7D%5C%5C%5CRightarrow%20v%3D290697674.4186%5C%20m%2Fs)
Time in rest frame is given by
![\Delta t'=\frac{\Delta t_l}{\sqrt{1-\frac{v^2}{c^2}}}\\\Rightarrow \Delta t'=\frac{3.44\times 10^{-9}}{\sqrt{1-\frac{290697674.4186^2}{(3\times 10^8)^2}}}\\\Rightarrow \Delta t'=1.3922\times 10^{-8}\ s](https://tex.z-dn.net/?f=%5CDelta%20t%27%3D%5Cfrac%7B%5CDelta%20t_l%7D%7B%5Csqrt%7B1-%5Cfrac%7Bv%5E2%7D%7Bc%5E2%7D%7D%7D%5C%5C%5CRightarrow%20%5CDelta%20t%27%3D%5Cfrac%7B3.44%5Ctimes%2010%5E%7B-9%7D%7D%7B%5Csqrt%7B1-%5Cfrac%7B290697674.4186%5E2%7D%7B%283%5Ctimes%2010%5E8%29%5E2%7D%7D%7D%5C%5C%5CRightarrow%20%5CDelta%20t%27%3D1.3922%5Ctimes%2010%5E%7B-8%7D%5C%20s)
It lived
before decaying
You can stop air pollution by riding public transport instead of your own car.
You can stop smoking.
You can stop non needed burning.
Never burn rubber.
Plant trees or flowers.
Recycle.
Reuse.
Please vote brainlist! : )