The electric field outside the cylindrical surface (r > R) is given by E = λ / (2πε₀r), where λ is the charge per unit length of the cylindrical charge distribution, and ε₀ is the permittivity of free space.
Gauss's law states that the electric flux through a closed surface is proportional to the charge enclosed by that surface.
Let's consider a cylindrical Gaussian surface with radius r and length L. We'll assume that the cylindrical surface is coaxial with the charged cylindrical surface and the electric field is radially symmetric.
Inside the cylinder (r < R):
The charge enclosed by the Gaussian surface is zero because there is no charge within the Gaussian surface. Hence, by Gauss's law, the electric flux through the cylindrical surface is zero. Since the electric field is radially symmetric, it must be zero everywhere inside the cylinder (r < R).
Outside the cylinder (r > R):
To express the electric field in terms of the charge per unit length, we'll consider a Gaussian surface with radius r and length L, as before. However, this time, the Gaussian surface encloses the entire cylindrical charge with a linear charge density, λ (charge per unit length).
The charge enclosed by the Gaussian surface is Q = λL, where L is the length of the cylindrical charge distribution. Using Gauss's law, we have:
Electric flux through the Gaussian surface = Electric field strength * Surface area
Since the electric field is radially symmetric, the electric field is constant on the curved surface of the Gaussian cylinder, and its magnitude is E. The electric field is perpendicular to the curved surface, and its direction is outward (away from the cylinder).
The surface area of the curved surface of the Gaussian cylinder is 2πrL.
Therefore, applying Gauss's law, we have:
E * 2πrL = (Q_enclosed) / ε₀
E * 2πrL = λL / ε₀ (since Q_enclosed = λL)
Simplifying, we can solve for the electric field:
E = λ / (2πε₀r)
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much like mass and energy, the amount of electric charge in the universe is constant and cannot be created or destroyed. in physics, what law governs such a relation? if the total electric charge remains constant in a closed system, how can some objects change their charges?
The law that governs the conservation of electric charge in a closed system is known as the law of conservation of charge.
According to this law, the total amount of electric charge in a closed system remains constant and cannot be created or destroyed. As for how objects can change their charges in a closed system, it is because the distribution of electric charge can change.
For example, when two objects with different electric charges are brought into contact, electrons can flow from one object to the other until both objects have the same electric potential. This transfer of electrons results in a change in the charge of each object, but the total charge remains the same.
Another way objects can change their charges is through the process of ionization, where an atom loses or gains electrons, resulting in a change in the electric charge of the atom. Again, the total charge remains constant, as the lost or gained electrons must go somewhere.
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How high must a 2kg basketball be thrown so it has a potential energy of 160J, in meters?
The basketball should be thrown to a height of 8m
Explanations:The mass of the ball, m = 2kg
Potential Energy = 160J
The formula for Potential Energy is:
Potential Energy = mgh
where g = 10m/s²
To find the height, h, substitute Potential Energy = 160J, m = 2kg, and g = 10m/s² into the given formula:
160 = 2 x 10 x h
160 = 20h
h = 160/20
h = 8m
The basketball should be thrown to a height of 8m
The gravitational force between a satellite and Earth’s moon is 324 N. The mass of the moon is 7.3 × 1022 kg.
If the distance from the moon to the satellite is 2.6 × 106 m, what is the mass of the satellite?
1.7 × 10–4 kg
2.2 × 10–3 kg
230 kg
450 kg
Answer:
450 kg
Explanation:
In the picture above. Goodluck
Answer:
The correct answer is D :)
Explanation:
Got it right edge 2021
The flagpole is held vertical by two ropes. The first of these ropes has a tension in it of 100 N and is at an angle of 60° to the flagpole. The other rope has a tension T, as shown. The resultant force is down the pole and of magnitude 200 N. In the space below, using a scale of 1 cm = 20 N, draw a scale drawing to find the value of the tension T. Clearly label 100 N, 200 N and T on your drawing
Answer:
T₂ = 123.9 N, θ = 66.2º
Explanation:
To solve this exercise we use the law of equilibrium, since the diaphragm does not appear, let's use the adjoint to see the forces in the system.
The tension T1 = 100 N, we create a reference frame centered on the pole
X axis
T₁ₓ - \(T_{2x}\) = 0
T_{2x}= T₁ₓ
Y axis y
T_{1y} + T_{2y} - 200N = 0
T_{2y} = 200 -T_{1y}
let's use trigonometry to find the component of the stresses
sin 60 = T_{1y} / T₁
cos 60 = t₁ₓ / T₁
T_{1y} = T₁ sin 60
T1x = T₁ cos 60
T_{1y}y = 100 sin 60 = 86.6 N
T₁ₓ = 100 cos 60 = 50 N
for voltage 2 it is done in the same way
T_{2y} = T₂ sin θ
T₂ₓ = T₂ cos θ
we substitute
T₂ sin θ= 200 - 86.6 = 113.4
T₂ cos θ = 50 (1)
to solve the system we divide the two equations
tan θ = 113.4 / 50
θ = tan⁻¹ 2,268
θ = 66.2º
we caption in equation 1
T₂ cos 66.2 = 50
T₂ = 50 / cos 66.2
T₂ = 123.9 N
I need helpppp :((((((
Answer: c. The electric force increases
Explanation:
If the distance between two charged particles decreases, the electric force between them increases.
According to Coulomb's Law, the electric force between two charged particles is directly proportional to the product of their charges and inversely proportional to the square of the distance between them. Mathematically, the equation can be represented as:
F = k * (q1 * q2) / r^2
Where:
F represents the electric force between the particles.
k is the electrostatic constant.
q1 and q2 are the charges of the particles.
r is the distance between the particles.
As the distance (r) between the particles decreases, the denominator of the equation (r^2) becomes smaller, causing the overall electric force (F) to increase. Conversely, if the distance between the charged particles increases, the electric force between them decreases. This inverse relationship between the distance and electric force is a fundamental characteristic of the electrostatic interaction between charged objects.
If Siobhan hits a 0.25 kg volleyball with 0.5 N of force, what is the acceleration of the ball?
m/s2
Answer:
2ms-2
Explanation:
F = ma
a = F/m
= 0.5 / 0.25
= 2ms-2
Answer 2m/s^2
Explanation:
mass=0.25kg
Force =0.5N
Acceleration=force/ mass
Acceleration=0.5/0.25
Acceleration=2
Acceleration =2m/s^2
Singly charged uranium-238 ions are accelerated through a potential difference of 2.20 kV and enter a uniform magnetic field of 1.90 T directed perpendicular to their velocities. Determine the radius of their circular path.
Answer:
r = 0.0548 m
Explanation:
Given that,
Singly charged uranium-238 ions are accelerated through a potential difference of 2.20 kV and enter a uniform magnetic field of 1.90 T directed perpendicular to their velocities.
We need to find the radius of their circular path. The formula for the radius of path is given by :
\(r=\dfrac{1}{B}\sqrt{\dfrac{2mV}{q}}\)
m is mass of Singly charged uranium-238 ion, \(m=3.95\times 10^{-25}\ kg\)
q is charge
So,
\(r=\dfrac{1}{1.9}\times \sqrt{\dfrac{2\times 3.95\times 10^{-25}\times 2.2\times 10^3}{1.6\times 10^{-19}}}\\\\r=0.0548\ m\)
So, the radius of their circular path is equal to 0.0548 m.
Answer Questions below
Answer:
When several resistors are connected in series, the total resistance equals the sum of the individual resistors. In series combination, the current is same through each resistor.
1) V= 60 volt
Total resistance R = R₁ + R₂
= 20 + 10
= 30 Ω
2) Ohms law states that,
\(\sf I =\dfrac{V}{R}\\\\\\I = \dfrac{60}{30}\\\\I = 2 \ A\)
3) Voltage around 10 Ω resistor,
V₂ = I R₂
= 2 * 10
= 20 volt
___________________________________________________
4) Total current = 1 A
5) Total voltage = 8 volt
6) Voltage around R₁ is V₁
R₁ = 2 Ω ; I = 1 A
V₁ = IR₁
= 1 * 2
= 2 volt
7) Resistance 2:
Total resistance = R
Total voltage = V = 8 volt
Total current = I = 1 A
\(\sf R = \dfrac{V}{I}\\\\\\ R = \dfrac{8}{1}\\\\\)
R = 8 Ω
R₁ + R₂ = 8 Ω
2 + R₂ = 8
R₂ = 8 - 2
R₂ = 6 Ω
8)Voltage around R₂:
\(\sf V_2 = IR_2\\\\V_2 = 1*6\\\\\)
V₂ = 6 volt
9) Total R = 8 Ω
_________________________________________________
10) Total V = 12 volt
11) Total R = 8 + 8
= 16 Ω
12) Total current I,
\(\sf I = \dfrac{V}{R}\\\\I = \dfrac{12}{16}\\\\I = 0.75 \ A\)
13) Voltage at each resistor:
V₁ = I*R₁
= 0.75 * 8
= 6 volt
V₂ = I*R₂
= 0.75 * 8
= 6 volt
_______________________________________________________
14) Total R = 40 + 20
= 60 Ω
15) To find V₁, first find total voltage.
I = 2 A ; R = 60 Ω
V = IR
= 2 * 60
= 120 V
V₁ + V₂ =V
V₁ + 80 = 120
V₁ = 120 - 80
V₁ = 40 volt
a 900 N crate slides 12m down a ramp that makes an angle of 35 degrees with the horizontal. If the crate slides at a constant speed, how much thermal energy is created
The thermal energy created when the crate slides at the given distance is 6,192.8 J.
The given parameters;
weight of the crate, W = 900 Ndistance traveled by the crate, d = 12 mangle of inclination, θ = 35⁰The thermal energy created is the energy lost due to friction and it is calculated as follows;
\(W = \mu F_n d\)
where;
\(\mu\) is the coefficient of friction
The coefficient of friction is calculated as;
\(\mu = tan(\theta)\\\\\mu = tan(35)\\\\\mu = 0.7\)
The work done against friction is calculated as;
\(W = \mu F_n d\\\\W = \mu (Wcos\theta ) d\\\\W = 0.7 \times 900 \times cos(35) \times 12\\\\W = 6,192.8 \ J\)
Thus, the thermal energy created when the crate slides at the given distance is 6,192.8 J.
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A car traveling in a straight line has a velocity
of 3.58 m/s at some instant. After 6.72 s, its
velocity is 11.9 m/s.
What is its average acceleration in this time
interval?
Answer in units of m/s
.
Answer: 1.2381 m/s
Explanation:
vf=vi + at
11.9 = 3.58 + a(6.72)
8.32 = a(6.72)
1.2381 m/s = a
A marble is thrown norizontally from a tarble top with a velocity of 1. 50m/s. The marble falls 0. 70m away from te table'ede. How high is the lab table? what is the marble's velocity just before it hits the floor
The marble's velocity just before it hits the floor is approximately 4.83 m/s.
To find the height of the lab table, we can use the following terms:
1. Horizontal velocity (Vx): 1.50 m/s
2. Horizontal distance (d): 0.70 m
First, we need to find the time it takes for the marble to fall 0.70m horizontally. We can do this using the equation: d = Vx * t
0.70 m = 1.50 m/s * t
t = 0.70 m / 1.50 m/s = 0.4667 s
Now, we can use this time to find the height (h) of the table using the vertical motion equation: h = 0.5 * g * t^2, where g is the acceleration due to gravity (9.81 m/s^2).
h = 0.5 * 9.81 m/s^2 * (0.4667 s)^2
h ≈ 1.067 m
So, the height of the lab table is approximately 1.067 meters.
To find the marble's velocity just before it hits the floor, we need to calculate its vertical velocity (Vy) using the equation: Vy = g * t
Vy = 9.81 m/s^2 * 0.4667 s
Vy ≈ 4.57 m/s
Now, we can find the marble's total velocity (V) using the Pythagorean theorem: V = √(Vx^2 + Vy^2)
V = √((1.50 m/s)^2 + (4.57 m/s)^2)
V ≈ 4.83 m/s
Therefore, the marble's velocity just before it hits the floor is approximately 4.83 m/s.
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Which statement best describes scientific laws? (2 points)
O Scientific laws are scientists' opinions of why events occur.
Scientific laws are facts that describe observed reoccurring natural events.
Scientific laws explain why natural events occur.
Scientific laws were theories that have been proven to be true.
Answer:
Scientific laws are facts that describe observed reoccurring natural events.
Explanation:
Scientific laws are explanations for the behavior of the natural world. Scientific theories are explanations for scientific laws.
A bus starts from rest.if the acceleration is 2m/s square, find
i.the distance travelled
ii.the velocity after 2 seconds.
Answer:
The velocity after 2 seconds can be found through:
V = u +a*t
Where V is final velocity, u is initial velocity, a is acceleration and t is time.
V = 0 + 2* 2= 4 meters/second
The distance (s) can be found through:
V^2= u^2 +2*a* s
Where V is final velocity, u is initial velocity, a is acceleration.
4^2= 0^2 + 2 *2*s
16= 0 + 4s
s= 4 meters
Distance (s) can also be found through:
s= ut + 1/2 at^2
s= 0+ 1/2 *2*2^2= 1 *2*2
s= 4 meters
Explanation:
an object has a kinetic energy of 36.0 j. an object with three times the mass moving at the same speed will have a kinetic energy of
The kinetic energy of another body having three times the mass of the given object will be 108 J
Kinetic energy-In physics, the kinetic energy of an object is the energy it has due to motion. It is defined as the work required to accelerate a body from a given mass from rest to a specified speed.
The kinetic energy of a body is given by \(K.E= \frac{1}{2}Mv^{2}\) (first equation)
Given K.E= 36J
Now the mass of second body is m=3M
also the second body is moving with the same speed v
So kinetic energy of second body K.E₂= \(\frac{1}{2}mv^{2} =\frac{1}{2}(3M)v^{2}\)=36×3
=108J (from first equation)
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what two quantities did edwin hubble compare for a sample of galaxies to discover the expansion of the universe? what two quantities did edwin hubble compare for a sample of galaxies to discover the expansion of the universe? luminosity and temperature velocity and distance luminosity and distance age and distance velocity and temperature
A galaxy's recession velocity is inversely correlated with its distance from the sun. velocity and distance.
What are the three basic classifications of galaxies proposed by Edwin Hubble?Galaxies are categorised into three basic types under Hubble's scheme, which would be based on the optical aspect of galaxy pictures on photographic plates: ellipticals, spirals, & irregulars.These three classes were separated by Hubble into more specific categories.
What two elements make up Hubble's law?Astronomers must be capable of measuring 2 factors in order to determine the Hubble factor by looking at the cosmos:the separation between celestial bodies.Each object's "recession velocity"
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calculate the heat required to change 2.0kg of ice at 0°C to water at 0°C
Answer:
160000 calories or 669440 Joules
Explanation:
Using the formula as follows;
Q = L × m
Where;
Q = amount of heat (J)
L = specific latent heat
m = mass (g)
* Latent heat (L) required for melting of ice is 80 calories/grams.
* Mass of ice in grams = 2kg × 1000 = 2000g.
Hence, Q = 80 × 2000
= 160000 Calories
1 calorie = 4.184J
160000 calorie = 160000 × 4.184
= 669440J
A train was moving along east at 25 m/s, but brakes for 3 seconds, reducing its velocity to 13 m/s east.
What was its displacement while braking?
Answer:
57 m
Explanation:
Given:
v₀ = 25 m/s
v = 13 m/s
t = 3 s
FInd: Δx
Δx = ½ (v + v₀) t
Δx = ½ (13 m/s + 25 m/s) (3 s)
Δx = 57 m
In Platos credo, Socrates, believes that he should follow the laws of the state Athens, because?
In Plato's philosophy, Socrates believed that he should follow the laws of the state of Athens because he believed in the idea of the "philosopher-king."
Who was Socrates?
Socrates was a classical Greek philosopher, credited as one of the founders of Western philosophy. He is best known for his method of inquiry, called the Socratic method, and for his teaching style, which was dialogic and aimed at getting students to think critically and develop their own ideas.
According to Socrates, the laws of the state were a reflection of the absolute and unchanging moral values that exist in the world. He believed that as a philosopher, it was his duty to live in accordance with these moral values, and thus to follow the laws of the state. In this way, Socrates saw himself as a servant of the divine, and believed that by following the laws, he was serving the greater good and promoting the welfare of the city.
Hence, In Plato's philosophy, Socrates believed that he should follow the laws of the state of Athens because he believed in the idea of the "philosopher-king."
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state any two physical properties for believing that aluminium is a metal.
Answer:
amongst the properties that makes aluminium a metal is that it is malleable and ductile...and it has high melting and boiling points
I hope that helps
Explanation:
properties of metals include
1. high melting and boiling points
2 high densities
3 malleability and ductility
Help please!!!!! How does ozone form from vehicle exhaust?
Answer: NOx and VOC combine chemically with oxygen to form ozone
Explanation:
Identify the energy transformation that occurs in the light bulb of a lamp:
radiant electrical
mechanical and nuclear thermal
electrical radiant and thermal
chemical nuclear and electrical
Answer:
In the light bulb, the flow of charge through the filament heats it up and causes it to glow. In this way, the light bulb converts electrical energy to heat energy and light energy. Chemical energy in the batteries is transferred into electrical energy.
HELP ME FAST PLZZ 48 BRAINLY POINTS TO WHO EVER ANSWER!
A 2 column table with 4 rows. The first column is labeled substance with entries W, X, Y, Z. The second column is labeled temperature in degrees Celcius with entries 22, 18, 35, 24.
Another substance has less kinetic energy than substance Z but more kinetic energy than substance X. What could be the temperature of this substance in degrees Celsius?
15
18
20
25
Answer:
ITS 20
Explanation:
measurements taken with a spectrometer require a __ to eliminate background readings from components other than what is being measured in the sample.
Measurements taken with a spectrometer require a cuvette to eliminate background readings from components other than what is being measured in the sample.
What is a spectrometer technological device?A spectrometer technological device is a tool used in the b]lab to determine the light that may pass across a substance, which is an intrinsic property of a material and can be used to determine the type of biomolecule.
Therefore, with this data, we can see that a spectrometer technological device is used to determine the substance by using light as source to measure.
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What percentage of electricity is generated by renewable energy in 2050?
By 2050, according to the International Renewable Energy Agency (IRENA), 90 percent of the world's electricity can and ought to come from renewable sources.
What is the anticipated 2050 electricity consumption?Through 2050, the EIA predicts that the world's electricity production will increase by 1.8% year. According to EIA estimates, global electricity production would increase by approximately 20 trillion kWh from 2018 levels to nearly 45 trillion kWh by 2050.
How much (%) of the electricity produced worldwide comes from renewable sources?This energy is required for electrical production, heating, and transportation. The world's electricity is generated by renewable sources, such as hydroelectric, solar, and wind energy, for about 30% of the time.
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you have finger tips but you dont have toe tips but you can tip toe explain pls
Answer:
ummmmmmmm
Explanation:
this might be some type of trick question bro lol
or someone tryna play with you if the teacher gave you this question bro she deserves to be fired
a lion is running at constant speed toward a gazelle that is standing still, as shown in the top figure above. after several seconds, the gazelle notices the lion and accelerates directly toward him, hoping to pass the lion and force him to reverse direction. as the gazelle accelerates toward and past the lion, the lion changes direction and accelerates in pursuit of the gazelle. the lion and the gazelle eventually each reach constant but different speeds. which of the following sets of graphs shows a reasonable representation of the velocities of the lion and the gazelle as functions of time?
The graph shown in the first option nicely plots the lion's and gazelle's velocities as a function of time, so option A is the correct answer.
Velocity is the rate of change of displacement over time.
It has SI units as m/s.The total amount of movement of an object per unit time is also called velocity. It depends on both the size and direction of the moving object.Velocity can also be called as speed when distance is taken into consideration instead of displacement.As mentioned in the problem of running at a constant speed towards a gazelle with a standing lion as shown above.
So option A is correct.
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state the mode by which heat travels from the cube to the balloons
Answer:
The face of the cube towards A. is bright and shiny and the face towards B is dull black. State with reason the adjustments that should be made on the distances X1 and X2 so that the rate of change of temperature in both balloons is the same.
Explanation:
Convection is the mechanism by which heat is transferred from the cube to the balloon. Convection is the movement of currents inside a liquid or gas that transfers heat energy.
What is Convection?Convection is a method of heat transfer in which a fluid or gas, such as air or water, is moved. A hotter liquid or gas loses density and rises, while a colder, denser liquid or gas replaces it by sinking. Convection is the term used to describe the movement of gases or liquids due to temperature differences.
When the cube is heated, the air around it becomes less dense and rises; On the contrary, the cold air from all around fills the space. As a result, heat energy is transferred from the cube to the balloons via convection currents.
Therefore, Convection is the mechanism by which heat is transferred from the cube to the balloon. Convection is the movement of currents inside a liquid or gas that transfers heat energy.
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what do you think explains the pattern of planet density in the solar system
Answer:
If density is greater, the object sinks. Saturn is mainly composed of the lightest two gases known, hydrogen and helium. It is the only planet in our solar system whose density is less than water
Explanation:
Planet density are uneven they all have different density.
What is density?Mass per unit of volume is referred to as density. Although the Latin letter D can also be used, the sign most frequently used for density is. Mass divided by volume is how density is mathematically defined:
If density is greater, the object sinks. Saturn is mainly composed of the lightest two gases known, hydrogen and helium. It is the only planet in our solar system whose density is less than water
Planet density are uneven they all have different density.
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Help me please!!!!!!!
Answer:
A) Plasticine
Explanation:
Palestine doesn't take much strain to harden and its strain rate isn't sensitive, therefore making it perfectly plastic.
Two 2.10 cm × 2.10 cm plates that form a parallel-plate capacitor are charged to ± 0.708 nC .
Part A
What is the electric field strength inside the capacitor if the spacing between the plates is 1.30 mm ?
Part B
What is potential difference across the capacitor if the spacing between the plates is 1.30 mm ?
Part C
What is the electric field strength inside the capacitor if the spacing between the plates is 2.60 mm ?
Part D
What is the potential difference across the capacitor if the spacing between the plates is 2.60 mm ?
The electric field strength inside the capacitor does not depend on the distance between plates. Hence, Potential difference and Electric field strength is -234V and -1.8 x 10^5 V/m respectively.
What does "permittivity of open space" mean?The ability of electrical fields to pass through a conventional vacuum is represented by the physical constant known as the permittivity of free space. The constant has a relative standard uncertainty of 1.5 x 10-10 and is equal to around 8.854 x 10-12 F/m (farad per metre).
Q= charge => ± 0.708 nC
E => electric field strength = Q/Aεο
A=> area of plates 2.10x 2.10 cm2.
εο = > 8.854 x 10-12 F/m.
E= -0.708 x10^-9/ (2.1 x 2.1 x 8.854 x 10^-4 x 10^-12)
= -1.8 x 10^5 V/m.
Potential difference = Ed => -1.8 x 10^5 x 1.3 x 10^-3 => -2.34 x 10^2V
=> -234V.
How strong is the electric field?
The intensity of an electric field at a specific location is expressed quantitatively as "electric field strength." The volt per metre (V/m or Vm-1) is the common unit.
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