Answer:
the propagation velocity of the wave is 274.2 m/s
Explanation:
Given;
length of the string, L = 1.5 m
mass of the string, m = 0.002 kg
Tension of the string, T = 100 N
wavelength, λ = 1.5 m
The propagation velocity of the wave is calculated as;
![v = \sqrt{\frac{T}{\mu} } \\\\\mu \ is \ mass \ per \ unit \ length \ of \ the \ string\\\\\mu = \frac{0.002 \ kg}{1.5 \ m} = 0.00133 \ kg/m\\\\v = \sqrt{\frac{100}{0.00133} } \\\\v = 274.2 \ m/s](https://tex.z-dn.net/?f=v%20%3D%20%5Csqrt%7B%5Cfrac%7BT%7D%7B%5Cmu%7D%20%7D%20%5C%5C%5C%5C%5Cmu%20%5C%20is%20%5C%20mass%20%5C%20per%20%5C%20unit%20%5C%20length%20%5C%20of%20%5C%20the%20%5C%20string%5C%5C%5C%5C%5Cmu%20%3D%20%5Cfrac%7B0.002%20%5C%20kg%7D%7B1.5%20%5C%20m%7D%20%3D%200.00133%20%5C%20kg%2Fm%5C%5C%5C%5Cv%20%3D%20%5Csqrt%7B%5Cfrac%7B100%7D%7B0.00133%7D%20%7D%20%5C%5C%5C%5Cv%20%3D%20274.2%20%5C%20m%2Fs)
Therefore, the propagation velocity of the wave is 274.2 m/s
The body systems that help cells get the energy they need are the digestive system and circulatory system. The first system is the digestive system because when you eat food, your body breaks it down using the stomach and other different parts of the digestive system. The next one is the circulatory system because your blood carries the nutrients you acquired from food you digested to the cells throughout your body.
Question:
A point charge of -2.14uC is located in the center of a spherical cavity of radius 6.55cm inside an insulating spherical charged solid. The charge density in the solid is 7.35×10−4 C/m^3.
a) Calculate the magnitude of the electric field inside the solid at a distance of 9.50cm from the center of the cavity.
Express your answer using two significant figures.
Answer:
The magnitude of the electric field inside the solid at a distance of 9.50cm from the center of the cavity ![3.65\times 10^5N/C](https://tex.z-dn.net/?f=3.65%5Ctimes%2010%5E5N%2FC)
Explanation:
A point charge ,q =
is located in the center of a spherical cavity of radius ,
m inside an insulating spherical charged solid.
The charge density in the solid , d = ![7.35 \times 10^{-4}C/m^3.](https://tex.z-dn.net/?f=7.35%20%5Ctimes%2010%5E%7B-4%7DC%2Fm%5E3.)
Distance from the center of the cavity,R =![9.5\times 10^{-2 }m](https://tex.z-dn.net/?f=9.5%5Ctimes%2010%5E%7B-2%20%7Dm)
Volume of shell of charge= V =![(\frac{4\pi}{3})[ R^3 - r^3 ]](https://tex.z-dn.net/?f=%28%5Cfrac%7B4%5Cpi%7D%7B3%7D%29%5B%20R%5E3%20-%20r%5E3%20%5D)
Charge on the shell ,Q = ![V \times d'](https://tex.z-dn.net/?f=V%20%5Ctimes%20d%27)
![Q =(\frac{4\pi}{3})[ R^3 - r^3 ] \times d](https://tex.z-dn.net/?f=Q%20%3D%28%5Cfrac%7B4%5Cpi%7D%7B3%7D%29%5B%20R%5E3%20-%20r%5E3%20%5D%20%5Ctimes%20d)
![Q = 4.1888\times 10^{-4} [5.76364 ] \times 7.35 \times 10^{-4}](https://tex.z-dn.net/?f=Q%20%3D%204.1888%5Ctimes%2010%5E%7B-4%7D%20%5B5.76364%20%5D%20%5Ctimes%207.35%20%5Ctimes%2010%5E%7B-4%7D)
![Q =2.4143 \times 10^{-4} \times 7.35 \times 10^ { -4}](https://tex.z-dn.net/?f=Q%20%3D2.4143%20%5Ctimes%2010%5E%7B-4%7D%20%5Ctimes%207.35%20%5Ctimes%2010%5E%20%7B%20-4%7D)
![Q =1.7745 \times 10^{-6 }C](https://tex.z-dn.net/?f=Q%20%3D1.7745%20%5Ctimes%2010%5E%7B-6%20%7DC)
Electric field at
m due to shell![E1 = \frac{k Q}{R^2}](https://tex.z-dn.net/?f=E1%20%20%3D%20%5Cfrac%7Bk%20Q%7D%7BR%5E2%7D)
E1 = ![\frac{ 9 \times 10^9\times 1.7745\times 10^{-6 }}{ 90.25\times 10^{-4}}](https://tex.z-dn.net/?f=%5Cfrac%7B%209%20%5Ctimes%2010%5E9%5Ctimes%201.7745%5Ctimes%2010%5E%7B-6%20%7D%7D%7B%2090.25%5Ctimes%2010%5E%7B-4%7D%7D)
![E1 =1.769\times 10^6 N/C](https://tex.z-dn.net/?f=E1%20%3D1.769%5Ctimes%2010%5E6%20N%2FC)
Electric field at
due to 'q' at center ![E2 = \frac{kq}{R^2}](https://tex.z-dn.net/?f=E2%20%3D%20%5Cfrac%7Bkq%7D%7BR%5E2%7D)
E2 =![\frac{ - 9 \times 10^9\times 2.14\times 10^{-6 }}{ 90.25\times 10^{-4}}](https://tex.z-dn.net/?f=%5Cfrac%7B%20-%209%20%5Ctimes%2010%5E9%5Ctimes%202.14%5Ctimes%2010%5E%7B-6%20%7D%7D%7B%2090.25%5Ctimes%2010%5E%7B-4%7D%7D)
![E2 =2.134\times 10^6 N/C](https://tex.z-dn.net/?f=E2%20%3D2.134%5Ctimes%2010%5E6%20N%2FC)
The magnitude of the electric field inside the solid at a distance of 9.50cm from the center of the cavity
= E2- E1
![=[ 2.134 - 1.769 ]\times 10^6](https://tex.z-dn.net/?f=%3D%5B%20%202.134%20%20-%201.769%20%5D%5Ctimes%2010%5E6)
![= 3.65\times 10^5 N/C](https://tex.z-dn.net/?f=%3D%203.65%5Ctimes%2010%5E5%20N%2FC)
The idea that "students ' immune systems have declined due to the use of hand sanitizers " is a hypothesis.
The term hypothesis refers to an intelligent guess or idea often based which is subject to scientific investigation via experiments.
A hypothesis may be right or wrong. We can only prove a hypothesis by subjecting it to a series of rigorous experiments.
Thus Collette's idea is a hypothesis.
Learn more: brainly.com/question/18284466
Answer:
E) momentum and mechanical energy
Explanation:
In the context, an object is attached to the another mass with a spring which is initially at a rest position. Now when the spring is compressed, the two masses moves with the same speed. Now since the both the masses combines with the spring to move together they are considered as one system and in this case the momentum and the kinetic energy will be conserved.
The kinetic energy and momentum of the system after collision and the kinetic energy and momentum of the two masses before collision will be constant.