Hello,
I believe the leading <span>factour that prevents the growth of tropical plants in the northern part of the United States is climate.</span>
Faith xoxo
Answer:
A) 0 for r < R B) Q/4πε₀r² for r > R
Explanation:
Here is the complete question
Part A Find the electric field inside a hollow plastic ball of radius R that has charge Q uniformly distributed on its outer surface. Give your answer as a multiple of Q/ε0.
Part B Find the electric field outside this ball. Give your answer as a multiple of Q/ε0. Express your answer in terms of some or all of the variables R, r and the constant π.
Solution
Using Gauss' law ∫E.dA = q/ε₀. Where E is the electric field, dA is the area vector and q is the charge enclosed.
A For r < R The direction of the electric field is directed radially inward and r is outward and the angle between them is 180°. So E.dA = EdAcos180 = -EdA
∫-EdA = q/ε₀
-E∫dA = q/ε₀
-E4πr² = q/ε₀ (∫dA = 4πr² since it is a sphere)
E = -q/4πr²ε₀
But for r < R q = 0. So,
E = -q/4πr²ε₀ = -0/4πr²ε₀ = 0
B For r > R The direction of the electric field is directed radially outward and r is outward and the angle between them is 0°. So E.dA = EdAcos0 = EdA
∫EdA = q/ε₀ where Q is the charge on the hollow plastic ball
E∫dA = q/ε₀
E4πr² = q/ε₀ (∫dA = 4πr² since it is a sphere)
E = q/4πr²ε₀
But for r > R q = Q. So,
E = Q/4πr²ε₀ = Q/4πε₀r²
Explanation:
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Clara is jogging faster during part C of her run.
<h3 />
<h3>What is average velocity?</h3>
The average velocity of an object is the change in the object's displacement per change in the time of motion.
From the graph of Clara's motion, the average velocity of Clara in part A is calculated as follows;
![v = \frac{\Delta x}{\Delta t} = \frac{x_2 \ - \ x_1}{t_2 \ - \ t_1} \\\\ v = \frac{800 \ - \ 0}{10 \ - \ 0} \\\\ v = 80 \ m/s](https://tex.z-dn.net/?f=v%20%3D%20%5Cfrac%7B%5CDelta%20x%7D%7B%5CDelta%20t%7D%20%3D%20%5Cfrac%7Bx_2%20%5C%20%20-%20%5C%20x_1%7D%7Bt_2%20%20%5C%20-%20%5C%20t_1%7D%20%5C%5C%5C%5C%0Av%20%3D%20%5Cfrac%7B800%20%5C%20-%20%5C%200%7D%7B10%20%5C%20-%20%5C%200%7D%20%5C%5C%5C%5C%0Av%20%3D%2080%20%5C%20m%2Fs)
The average velocity of Clara in part C is calculated as follows;
![v = \frac{1400\ m \ - \ 800 \ m}{25 \ s \ - \ 20 \ s} \\\\ v = \frac{600 \ m}{5 \ s} \\\\ v = 120 \ m/s](https://tex.z-dn.net/?f=v%20%3D%20%5Cfrac%7B1400%5C%20m%20%5C%20-%20%5C%20800%20%5C%20m%7D%7B25%20%5C%20s%20%5C%20-%20%5C%2020%20%5C%20s%7D%20%5C%5C%5C%5C%0Av%20%3D%20%5Cfrac%7B600%20%5C%20m%7D%7B5%20%5C%20s%7D%20%5C%5C%5C%5C%0Av%20%3D%20120%20%5C%20m%2Fs)
Thus, we can conclude that Clara is jogging faster during part C of her run.
Learn more about average velocity here: brainly.com/question/6504879
Answer:
![\huge{ \boxed{ \bold{ \sf{77 \: m/s}}}}](https://tex.z-dn.net/?f=%20%20%5Chuge%7B%20%5Cboxed%7B%20%5Cbold%7B%20%5Csf%7B77%20%5C%3A%20m%2Fs%7D%7D%7D%7D)
☯ Question :
- How fast is a wave travelling if it has a wavelength of 7 meters and a frequency of 11 Hz?
☯ ![\underbrace{ \sf{Required \: Answer : }}](https://tex.z-dn.net/?f=%20%5Cunderbrace%7B%20%5Csf%7BRequired%20%5C%3A%20Answer%20%20%3A%20%20%7D%7D)
☥ Given :
- Wavelength ( λ ) = 7 meters
- Frequency ( f ) = 11 Hz
☥ To find :
☄ We know ,
![\boxed{ \sf{v = f \times λ}}](https://tex.z-dn.net/?f=%20%5Cboxed%7B%20%5Csf%7Bv%20%3D%20f%20%5Ctimes%20%CE%BB%7D%7D)
where ,
- v = speed of sound
- f = frequency
- λ = wavelength
Now, substitute the values and solve for v.
➺ ![\sf{v = 11 \times 7}](https://tex.z-dn.net/?f=%20%5Csf%7Bv%20%3D%2011%20%5Ctimes%207%7D)
➺ ![\boxed{ \sf{v = 77 \: m/s}}](https://tex.z-dn.net/?f=%20%5Cboxed%7B%20%5Csf%7Bv%20%3D%2077%20%5C%3A%20m%2Fs%7D%7D)
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✑ Additional Info :
- Frequency : The number of complete vibrations made by a particle of a body in one second is called it's frequency. It is denoted by the letter f . The SI unit of frequency is hertz ( Hz ).
- Wavelength : The distance between two consecutive compressions or rarefactions of a sound wave is called wavelength of that wave. It is denoted by λ ( lambda ) and it's SI unit is m.
- Speed of a sound wave : The distance covered by a sound wave in one second is called speed of sound wave. It depends on the product of wavelength and frequency of the wave.
Hope I helped!
Have a wonderful time! ツ
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