Answer: 300
Explanation:
What is the potential gravitational energy of a 2 kg ball thrown up in the air to a height of 7 m?
Answer:
PE = 137.2931 J
Explanation:
PE = 137.2931 J
What is the mass number of an atom with 6 protons and 8 neutrons?
Answer:
14
Explanation:
Lol im in my chemistry class rn
Answer:
\( \huge{ \boxed{ \bold{ \sf{14 \: amu}}}}\)
Explanation:
✑ First, Let's explore about ATOMIC MASS :
↱ An atom consists of electrons , protons and neutrons. The mass of electron is extremely small and it is taken as a negligible mass compared to the mass of a proton or neutron. Thus , The atomic mass is defined as the sum of the number of protons and neutrons present in the nucleus of an atom of that element. If is also called atomic weight. It is denoted by A. The nucleus determines the mass of an atom, while the number of electrons determines the size of the atom of the element.
Mathematically,
Atomic mass = Number of protons + Number of neutrons
i.e \( \boxed{ \sf{A = p^{ + } + n^{0}}}\)
———————————————————————
✎ Now , Let's find the atomic mass of atom having 6 protons and 8 neutrons :
☞ Atomic mass = No. of protons + No. of neutrons
➵ Atomic mass = 6 + 8
➵ Atomic mass = \( \boxed{ \sf{14 \: amu}}\)
And we're done !
Hope I helped!
Have a wonderful day! ツ
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Consider two points in an electric field. The potential at point 1, V1, is 33 V. The potential at point 2, V2, is 175 V. An electron at rest at point 1 is accelerated by the electric field to point 2.
Required:
Write an equation for the change of electric potential energy ΔU of the electron in terms of the symbols given.
Answer:
ΔU = e(V₂ - V₁) and its value ΔU = -2.275 × 10⁻²¹ J
Explanation:
Since the electric potential at point 1 is V₁ = 33 V and the electric potential at point 2 is V₂ = 175 V, when the electron is accelerated from point 1 to point 2, there is a change in electric potential ΔV which is given by ΔV = V₂ - V₁.
Substituting the values of the variables into the equation, we have
ΔV = V₂ - V₁.
ΔV = 175 V - 33 V.
ΔV = 142 V
The change in electric potential energy ΔU = eΔV = e(V₂ - V₁) where e = electron charge = -1.602 × 10⁻¹⁹ C and ΔV = electric potential change from point 1 to point 2 = 142 V.
So, substituting the values of the variables into the equation, we have
ΔU = eΔV
ΔU = eΔV
ΔU = -1.602 × 10⁻¹⁹ C × 142 V
ΔU = -227.484 × 10⁻¹⁹ J
ΔU = -2.27484 × 10⁻²¹ J
ΔU ≅ -2.275 × 10⁻²¹ J
So, the required equation for the electric potential energy change is
ΔU = e(V₂ - V₁) and its value ΔU = -2.275 × 10⁻²¹ J
Within the living area of the colony, what atmospheric gases must be present on Venus?
Humans would need a breathable environment like that on Earth in the living section of a colony on Venus in order to survive. Nitrogen, oxygen, and trace amounts of other gases, such as carbon dioxide, make up the majority of the atmosphere on Earth.
What gases are present in Venus' atmosphere?The clouds are made of sulfuric acid, and the atmosphere is primarily carbon dioxide, the same gas that causes the greenhouse effect on Venus and Earth. And the heated, high-pressure carbon dioxide acts corrosively at the surface.
What gases are found in Mars' and Venus' atmospheres?For instance, compared to Earth, which has 99% nitrogen and oxygen in its atmosphere, Venus and Mars both contain more than 98% carbon dioxide and nitrogen.
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7. Apply Concepts: suppose the dog walked at a constant speed the whole way. What
would the graph look like then? Explain.
If the dog walked at a constant speed the whole way, the graph of the dog's position versus time would be a straight line. This is because the dog's velocity (which is the derivative of position with respect to time) would be constant, and the acceleration (which is the derivative of velocity with respect to time) would be zero.
What is the speed about?A straight line on a position-time graph indicates that the object is moving at a constant velocity. The slope of the line would be equal to the velocity of the dog.
If the graph is a horizontal line, it would indicate that the dog is at rest. If the line slopes upward, the dog is moving in the positive direction (for example, to the right in a position-time graph), and if the line slopes downward, the dog is moving in the negative direction.
In all, A constant speed means a constant velocity and the line is a straight line with a particular slope.
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A roller coaster is at a peak of 20m and has a mass of 900kg. What is the potential energy of the roller coaster?
O 100000 J
10000 J
O 9.8 J
O 176400 J
The potential energy of the roller coaster is 176,400 J (joules).
The potential energy of an object is given by the formula PE = mgh, where PE is the potential energy, m is the mass of the object, g is the acceleration due to gravity, and h is the height or vertical position of the object.
In this case, the roller coaster is at a peak of 20m and has a mass of 900kg. The acceleration due to gravity, g, is approximately 9.8 \(m/s^2\).
Using the formula, we can calculate the potential energy:
PE = mgh
= (900 kg)(9.8 \(m/s^2\))(20 m)
= 176,400 J
Therefore, the potential energy of the roller coaster is 176,400 J (joules).
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An owl accidentally drops a mouse it is carrying, while flying horizontally at a speed of 16.0 m/s. The mouse drops to the ground 15.0 m below. What is the impact speed with which the mouse hits the ground?
The impact speed of the mouse is 23.3 m/s as per the data given in the question.
What is velocity?Velocity is the pace and direction of an object's movement, whereas speed is the time rate at which an object is travelling along a path. In other words, velocity is a vector, whereas speed is a scalar value.
To solve for the impact speed, we can use the following equation:
\(v^2 = u^2 + 2as\)
Where:
v = impact speed,
u = initial speed (which is the horizontal speed of the owl),
a = acceleration due to gravity (9.8 m/\(s^2\)), and
s = vertical distance fallen (15.0 m).
Substituting the known values, we get:
\(v^2 = 16.0^2 + 2 X 9.8 X 15.0\)
\(v^2\) = 256 + 294
\(v^2\) = 550
v = sqrt(550 )
v = 23.3 m/s
Thus, the impact speed of the mouse is 23.3 m/s.
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In your opinion, to whom must you learn the explanation of the biological changes and sexual urges first, especially the sexual responses? Why?
Thank you for your answer.KeepSafe♥️
PLEASE ANSWER FAST!
list 2 factors that affects the torque and explain how does it affect it
Answer:
There are 3 variables that can affect the size of the torque. First, the size of the force matters. A larger force creates a larger torque. But the angle the torque makes with the radius also matters. Only perpendicular forces or the perpendicular component of a force can create a torque. So, the angle between the force and radius also affects the torque. Lastly, the distance the torque acts from the pivot point, or radius, also affect the magnitude of the torque on an object.
What is the magnitude of the net force acting on the car while it is moving from A to B?
Answer:
0 N
Explanation:
From A to B the car is going on a linear path so the velocity is not changing the direction. Since the speed is constant, there is no acceleration. Then, there is no net force acting on the car. Therefore, the magnitude of the net force acting on the car while it is moving from A to B is 0N.
Suppose you are chatting with your friend, who lives on the moon. He tells you he has just won a Newton of gold in a contest. Excitedly, you tell him that you entered the Earth version of the same contest and also won a Newton of gold. Who is richer
Answer:
The friend on moon is richer.
Explanation:
The value of acceleration due to gravity changes from planet to planet. So the weight of 1 Newton of gold carries different mass on different places. So we need to calculate the mass of gold that both persons have.
FRIEND ON MOON:
W₁ = m₁g₁
where,
W₁ = Weight of Gold won by friend on moon = 1 N
m₁ = mass of gold won by friend on moon = ?
g₁ = acceleration due to gravity on moon = 1.625 m/s²
Therefore,
1 N = m₁(1.625 m/s²)
m₁ = 0.62 kg
ON EARTH:
W₂ = m₂g₂
where,
W₂ = Weight of Gold won by me on Earth = 1 N
m₂ = mass of gold won by me on Earth = ?
g₂ = acceleration due to gravity on Earth = 9.8 m/s²
Therefore,
1 N = m₁(9.8 m/s²)
m₁ = 0.1 kg
Since, the friend on moon has greater mass of gold than me.
Therefore, the friend on moon is richer.
Electrons and protons travel from the Sun to the Earth at a typical velocity of 3.99 ✕ 105 m/s in the positive x-direction. Thousands of miles from Earth, they interact with Earth's magnetic field of magnitude 2.93 ✕ 10−8 T in the positive z-direction. Find the magnitude and direction of the magnetic force on a proton. Find the magnitude and direction of the magnetic force on an electron.
The magnitude of the magnetic force on a proton is 1.68 ✕ 10^−16 N, directed towards the negative y-direction. The magnitude of the magnetic force on an electron is also 1.68 ✕ 10^−16 N, but directed towards the positive y-direction.
Begin by using the formula for the magnetic force on a charged particle moving in a magnetic field:
F = q * v * B * sin(θ)
where F is the magnetic force, q is the charge of the particle, v is the velocity of the particle, B is the magnetic field strength, and θ is the angle between the velocity vector and the magnetic field vector.
For a proton, the charge is +e, where e is the elementary charge (1.6 ✕ 10^−19 C). The velocity of the proton is given as 3.99 ✕ 10^5 m/s in the positive x-direction. The magnetic field strength is 2.93 ✕ 10^−8 T in the positive z-direction.
The angle θ between the velocity vector and the magnetic field vector is 90 degrees since the velocity is perpendicular to the magnetic field.
Substituting the values into the formula, we get:
F_proton = (+e) * (3.99 ✕ 10^5 m/s) * (2.93 ✕ 10^−8 T) * sin(90°)
F_proton ≈ 1.68 ✕ 10^−16 N
Since the proton has a positive charge, the magnetic force is directed opposite to the direction of electron flow, which is in the negative y-direction.
Repeat the steps for an electron, but note that the charge is -e. The direction of the force on an electron will be opposite to that of a proton.
F_electron = (-e) * (3.99 ✕ 10^5 m/s) * (2.93 ✕ 10^−8 T) * sin(90°)
F_electron ≈ -1.68 ✕ 10^−16 N
The force on an electron is also 1.68 ✕ 10^−16 N, but directed towards the positive y-direction.
Remember to consider the proper units and take into account the directions of charge, velocity, and magnetic field when calculating the magnetic force on a charged particle.
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A motorcycle stoop is at a traffic light, when the light turns green, the motorcycle accelerates to a speed of 78 km/h over a distance of 50 m. What is the average acceleration of the motorcycle over this distance?
The average acceleration of the motorcycle over the given distance is approximately 9.39 m/s².
To calculate the average acceleration of the motorcycle, we can use the formula:
Average acceleration = (final velocity - initial velocity) / time
First, let's convert the final velocity from km/h to m/s since the distance is given in meters. We know that 1 km/h is equal to 0.2778 m/s.
Converting the final velocity:
Final velocity = 78 km/h * 0.2778 m/s = 21.67 m/s
Since the motorcycle starts from rest (initial velocity is zero), the formula becomes:
Average acceleration = (21.67 m/s - 0 m/s) / time
To find the time taken to reach this velocity, we need to use the formula for average speed:
Average speed = total distance/time
Rearranging the formula:
time = total distance / average speed
Plugging in the values:
time = 50 m / 21.67 m/s ≈ 2.31 seconds
Now we can calculate the average acceleration:
Average acceleration = (21.67 m/s - 0 m/s) / 2.31 s ≈ 9.39 m/s²
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A wire loop in the shape of a circle spins in a uniform magnetic field. How does the torque on the loop change if the radius of the wire is doubled at the same time that the current flowing through the wire is quadrupled?
a. It increases by a factor of 2
b. It increases by a factor of 4
c. It increases by a factor of 8
d. t increases by a factor of 16
e. None of the above
The torque on the loop increases by a factor of 16.
option D.
What is the torque on wire loop?The torque on a wire loop in a magnetic field is given by the equation:
τ = NIABsinθ
Where;
τ is the torqueN is the number of turns in the wire loopI is the current flowing through the wireA is the area of the loopB is the magnetic field strengthθ is the angle between the magnetic field and the normal to the loopIf the radius of the wire is doubled, then the area of the loop becomes four times larger.
Also, if the current flowing through the wire is quadrupled, then the torque becomes four times larger.
The torque on the loop increases by a factor of 4 x 4 = 16.
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List the octal and hexadecimal numbers from 16 to 32. using A and B for the last two digits, list the numbers from 8 to 28 in base 12
The correct answer is :
In octal,
Decimal 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32
Octal 20 21 22 23 24 25 26 27 30 31 32 33 34 35 36 37 40
Hexadecimal 10 11 12 13 14 15 16 17 18 19 1A 1A 1C 1D 1E 1F 20
Decimal 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28
Base13 8 9 A B C 10 11 12 13 14 15 16 17 18 19 1A 1B 1C 20 21 22
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the long-term average weather for a region is called
Answer:
Climate.
Explanation:
Weather can be defined as the atmospheric conditions of a particular area over a short period of time.
The elements of weather include precipitation, wind, temperature, atmospheric pressure, relative humidity, cloud, and wind speed.
The long-term average weather for a region is called climate.
This ultimately implies that, when the average atmospheric conditions prevailing in a specific region persists for a very long period of time, it is known as climate.
PLEASE ANSWER ALL PARTS TO THE QUESTIONS.
1. Why does the GI tract have a plexus in the muscalaris and nerves in the mucosa? What physiological functions of the tract are supported by these anatomical structures? Think about your answer in the context of Hirschsprung’s disease, a congenital disorder of the colon that involves a defect in the myenteric plexus. What symptom or problem do you imagine the disease would cause?
3. How and why does vomiting too often, for example for sufferers of bulimia, damage the digestive system? Why are the stomach’s gastric secretions harmful, but the oral secretions are not?
3. Name any two of the major types of chemical substances that are broken down in chemical digestion. For each substance, name an enzyme that breaks them down and what final product is actually absorbed by the body for use or storage.
4. Explain how enzymes assist the process of absorption.
5. Name at least two concrete, positive steps you can take to avoid contracting gastroenteritis (in other words, DOs not DON’Ts).
The GI tract has a plexus in the muscalaris, submucosal plexus, and nerves in the mucosa.
What is a GI tract problem?Hirschsprung disease (HD) is a congenital condition defined by the lack of ganglion cells (GC) at the Meissner's plexus (submucosa) and Auerbach's plexus (muscularized) of the terminal rectum.
Vomiting and extensive laxative use can cause digestive system disruption, resulting in stomach bleeding and regurgitation. By vomiting frequently, the esophagus relaxes, allowing stomach contents to ascend up into the pharynx and mouth.
Pepsin, for example, is a protein-degrading enzyme. Another enzyme that breaks down lipids is stomach lipase.
Stomach enzymes are essential for breaking down the food you consume. These proteins hasten molecular processes that convert nutrients into substances that can be absorbed by your digestive system.
Handwashing with detergent reduces the chance of gastroenteritis by up to 47%. Of course, avoiding tainted meals that may contain harmful germs and parasites is essential.
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A 0.05 kg bullet strikes a 1.3 kg box and displaces it by a height of 4.5 m. After hitting
the box, the bullet becomes embedded and remains inside the box. Find the velocity of the bullet-block system after it's hit.
(a) 6.76 m/s
(b) 5 m/s
(c) 9.39 m/s
(d) 7.67 m/s
Now use the above velocity (of the bullet-block system) to find the bullet's velocity before it hit the box.
(e) 196.76 m/s
(f) 100.07 m/s
(g) 209.39 m/s
(h) 253.53 m/s
Answer:
Explanation:
The answer is **(c) 9.39 m/s** for the velocity of the bullet-block system after it's hit, and **(g) 209.39 m/s** for the bullet's velocity before it hit the box.
The velocity of the bullet-block system after it's hit can be found using the conservation of energy. The potential energy of the box before it was hit is mgh, where m is the mass of the box, g is the acceleration due to gravity, and h is the height that the box was displaced. After the bullet hits the box, the potential energy of the box is zero, but the kinetic energy of the bullet-block system is mv^2/2, where m is the total mass of the bullet-block system and v is the velocity of the bullet-block system. Setting these two expressions equal to each other, we get:
```
mgh = mv^2/2
```
Solving for v, we get:
```
v = sqrt(2mgh)
```
In this case, we have:
* m = 0.05 kg + 1.3 kg = 1.35 kg
* g = 9.8 m/s^2
* h = 4.5 m
So, the velocity of the bullet-block system after it's hit is:
```
v = sqrt(2 * 1.35 kg * 9.8 m/s^2 * 4.5 m) = 9.39 m/s
```
The velocity of the bullet before it hit the box can be found using the conservation of momentum. The momentum of the bullet before it hit the box is mv, where m is the mass of the bullet and v is the velocity of the bullet. After the bullet hits the box, the momentum of the bullet-block system is (m + M)v, where M is the mass of the box and v is the velocity of the bullet-block system. Setting these two expressions equal to each other, we get:
```
mv = (m + M)v
```
Solving for v, we get:
```
v = mv/(m + M)
```
In this case, we have:
* m = 0.05 kg
* M = 1.3 kg
* v = 9.39 m/s
So, the velocity of the bullet before it hit the box is:
```
v = 0.05 kg * 9.39 m/s / (0.05 kg + 1.3 kg) = 209.39 m/s
```
The velocity of the bullet-block system after the collision is approximately a) 6.76 m/s, and the bullet's velocity before it hit the box is approximately e) 196.76 m/s.
To solve this problem, we can apply the principle of conservation of momentum and the principle of conservation of mechanical energy.
First, let's calculate the velocity of the bullet-block system after the collision. We can use the principle of conservation of momentum, which states that the total momentum before the collision is equal to the total momentum after the collision.
Let m1 be the mass of the bullet (0.05 kg) and m2 be the mass of the box (1.3 kg). Let v1 be the velocity of the bullet before the collision (which we need to find) and v2 be the velocity of the bullet-block system after the collision.
Using the conservation of momentum:
m1 * v1 = (m1 + m2) * v2
0.05 kg * v1 = (0.05 kg + 1.3 kg) * v2
0.05 kg * v1 = 1.35 kg * v2
Now, let's calculate the velocity of the bullet-block system (v2). Since the system goes up by a height of 4.5 m, we can use the principle of conservation of mechanical energy.
m1 * v1^2 = (m1 + m2) * v2^2 + m2 * g * h
0.05 kg * v1^2 = 1.35 kg * v2^2 + 1.3 kg * 9.8 m/s^2 * 4.5 m
Now, we can substitute the value of v2 from the momentum equation into the energy equation and solve for v1.
By solving these equations, we find that v1 is approximately 196.76 m/s.
Therefore, the bullet's velocity before it hit the box is approximately 196.76 m/s. (e) 196.76 m/s
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The United States uses only 10% of the world's energy.
True
False
Answer:
False
Explanation:
17%
the answer to your question is false
What factors would create an ideal circuit?
An ideal circuit is a theoretical representation of an electrical circuit, where all components are perfect and all parameters such as resistance, capacitance, and inductance are zero.
The ideal circuit also has no energy losses, making it an ideal electrical system. To create an ideal circuit, the following factors must be considered:
1. Perfectly Conductive Wires: The wires and other conductors used in the circuit should be perfect conductors, which means the resistance should be zero. This will ensure that no energy is lost in the form of heat.
2. Zero Inductance: Inductance is a property of a circuit which causes a voltage drop when current flows through it. The ideal circuit should have no inductance so that the current can flow freely.
3. Zero Capacitance: Capacitance is a property in which electric charge builds up when current passes through it. To create an ideal circuit, the capacitance should be zero.
4. Zero Impedance: Impedance is the opposition to the flow of current in an electrical circuit. The ideal circuit should have zero impedance so that the current can flow freely.
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By using a machine an effort of ten newtons moved through a distance of 14metres to raise a load of 180N to height of 5metres. How many times has the machine made work easier?
Answer: 6.4 times.
Explanation:
First, remember the definition of work as:
W = F*d
where W is work, F is force and d is distance.
The work applied when using the machine is:
W = 10N*14m = 140J
The work that you would apply if you did not use the machine is:
W' = 180N*5m = 900J.
The ratio W'/W is = 900J/140J = 6.4
This means that the machine has made 6.4 times the work easier. (you needed 6.4 times less work to do the task
PLEASE HELP ME WITH THIS ONE QUESTION
The color orange has a wavelength of 590 nm. What is the energy of an orange photon? (h = 6.626 x 10^-19, 1 eV = 1.6 x 10^-19 J)
Answer:
The correct answer is - 2.10 eV.
Explanation:
To calculate the energy of a photon of a specific wavelength light, the following formula can be used:
E = h * c / λ = h * f ,
where,
E = energy of a photon.
h = Planck constant,
c = speed of light,
λ = wavelength of a photon,
f = frequency of a photon.
Putting the given value of orange photon:
E = h * c / λ
= (6.626 x 10^-19)*(3*10^8)/590
= 3.36685738E-19 or 2.1014 eV
A charge of 87.6 pC is uniformly distributed on the surface of a thin sheet of insulating material that has a total area of 65.2 cm^2. A Gaussian surface encloses a portion of the sheet of charge. If the flux through the Gaussian surface is 9.20 N⋅m^2/C, what area of the sheet is enclosed by the Gaussian surface?
Answer:
60.8 cm²
Explanation:
The charge density, σ on the surface is σ = Q/A where q = charge = 87.6 pC = 87.6 × 10⁻¹² C and A = area = 65.2 cm² = 65.2 × 10⁻⁴ m².
σ = Q/A = 87.6 × 10⁻¹² C/65.2 × 10⁻⁴ m² = 1.34 × 10⁻⁸ C/m²
Now, the charge through the Gaussian surface is q = σA' where A' is the charge in the Gaussian surface.
Since the flux, Ф = 9.20 Nm²/C and Ф = q/ε₀ for a closed Gaussian surface
So, q = ε₀Ф = σA'
ε₀Ф = σA'
making A' the area of the Gaussian surface the subject of the formula, we have
A' = ε₀Ф/σ
A' = 8.854 × 10⁻¹² F/m × 9.20 Nm²/C ÷ 1.34 × 10⁻⁸ C/m²
A' = 81.4568/1.34 × 10⁻⁴ m²
A' = 60.79 × 10⁻⁴ m²
A' ≅ 60.8 cm²
The flux through the Gaussian surface is 9.20 N⋅m^2/C then the surface area of the Gaussian Sheet is 60.76 square cm.
Charge and Charge DensityA certain amount of electrons in excess or defect is called a charge. Charge density is the amount of charge distributed over per unit of volume.
Given that, for a thin sheet of insulating material, the charge Q is 87.6 pC and surface area A is 65.2 square cm. Then the charge density for a thin sheet is given below.
\(\sigma = \dfrac {Q}{A}\)
\(\sigma = \dfrac {87.6\times 10^{-12}}{65;.2\times 10^{-4}}\)
\(\sigma = 1.34\times 10^{-8} \;\rm C/m^2\)
Thus the charge density for a thin sheet of insulating material is \(1.34\times 10^{-8} \;\rm C/m^2\).
Now, the flux through the Gaussian surface is 9.20 N⋅m^2/C. The charge over the Gaussian Surface is given as below.
\(Q' = \sigma A'\)
Where Q' is the charge at the Gaussian Surface, A' is the surface area of the Gaussian surface and \(\sigma\) is the charge density.
For the closed Gaussian Surface, Flux is given below.
\(\phi = \dfrac {Q'}{\epsilon_\circ}\)
Hence the charge can be written as,
\(Q' = \phi\epsilon_\circ\)
So the charge can be given as below.
\(Q' = \phi\epsilon_\circ = \sigma A'\)
Then the surface area of the Gaussian surface is given below.
\(A' = \dfrac {\phi\epsilon_\circ}{\sigma}\)
Substituting the values in the above equation,
\(A' = \dfrac {9.20 \times 8.85\times 10^{-12}}{1.38\times 10^{-8}}\)
\(A' =0.006076\;\rm m^2\)
\(A' = 60.76 \;\rm cm^2\)
Hence we can conclude that the area of the Gaussian Surface is 60.76 square cm.
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Given the following information, what is the magnitude of the sum of the three
vectors?
Vector A: [13, 8, 0]
Vector B: [13, 0, 8]
Vector C: [0, 1, 8]
Express your answer to two decimals
Answer:
31.84
Explanation:
To find the magnitude of the sum of the three vectors, first, we need to add the vectors component-wise. Then, we can find the magnitude of the resulting vector.
Add the vectors component-wise:
Vector A + Vector B + Vector C = [13+13+0, 8+0+1, 0+8+8] = [26, 9, 16]
Find the magnitude of the resulting vector:
The magnitude of a vector [x, y, z] is given by the formula:
magnitude = sqrt(x^2 + y^2 + z^2)
Plugging in the values from the resulting vector:
magnitude = sqrt(26^2 + 9^2 + 16^2)
magnitude = sqrt(676 + 81 + 256)
magnitude = sqrt(1013)
magnitude ≈ 31.84
The magnitude of the sum of the three vectors is approximately 31.84.
Hope this helps!
22 Humans see different colors of
the visible light spectrum because
A. the wavelength of light is
reflected by what it is hitting and
directed back into the eye.
B. the wavelength of light is
refracted by what it is hitting and
directed back into the eye.
C. the wavelength of light is
diffracted by what it is hitting
and directed back into the eye.
D. the wavelength of light is
absorbed by what it is hitting and
directed back into the eye.
Answer:
A. the wavelength of light is reflected by what it is hitting and directed back into the eye.
Explanation:
A spherical balloon has a radius of 7.15 m and is filled with helium. How large a cargo can it lift, assuming that the skin and structure of the balloon have a mass of 930 kg? Neglect the buoyant force on the cargo volume itself.
Answer:
m = 876.71 kg
Explanation:
This is an exercise of Archimedes' principle, which states that the thrust on a body is equal to the weight of the dislodged liquid
B = ρ g V
therefore the load that the balloon can lift is
B - W_structure - w_load = 0
w_load = B - W_structure
The volume of the balloon is
v = 4/3 π r³
let's substitute
w_carga = rho g 4/3 π r³ - m_structure g
the air density at T = 25ºc is ρ = 1.18 kg / m³
let's calculate
w_load = 1.18 9.8 4/3 π 7.15³ - 930 9.8
w_load = 17705,77 - 9114
w_ load = 8591.77 N
this corresponds to a mass of
w_load = m g
m = w_load / g
m = 8591.77 / 9.8
m = 876.71 kg
(I) A car slows down from 28 m????s to rest in a distance of 88 m. What was its acceleration, assumed constant?
Answer:
The value is \(a = - 4.45 m/s^2\)
Explanation:
From the question we are told that
The initial speed is \(u = 28 \ m/s\) at a distance of \(s_1 = 0 \ m\)
The final speed is \(v = 0 \ m/s\) at a distance of \(s_2 = 88 \ m\)
Generally from the kinematic equation we have that
\(v^2 = u^2 +2as\)
=> \(a = \frac{v^2 - u^2 }{ 2(s_2 - s_1 )}\)
=> \(a = \frac{0 - 28^2 }{ 2(88 - 0 )}\)
=> \(a = - 4.45 m/s^2\)
The negative sign shows that it is decelerating
There are only about 118 known elements. How is it possible that all matter in the universe is made up of just over 100 elements?
Explanation:
Not all elements is viable to form a chemical coumpound, so the 18, is not part of it
ellus
Three horizontal forces are pulling on a
ring, at rest. F1 is 12.0 N at a 0° angle, and
F2 is 18.0 N at a 90° direction. What is the
x-component of F3?
Answer:
Explanation:
Three forces are in equilibrium .
Let us represent forces in vector form ie in the form of i and j .
F₁ is acting along positive x axis ( at a 0° angle )
F₁ = 12 i
F₂ is acting along positive y axis ( at a 90° direction)
F₂ = 18 j
Suppose F₃ is represented by X i + Y j
Total of three forces is zero .
F₁ + F₂ + F₃ = 0
12 i + 18 j + F₃ = 0
F₃ = - 12i - 18 j
So x - component of F₃ = - 12 i
X - component of F₃ is equal to 12 N in magnitude and is acting in negative x direction ie at 180° direction .
similarly y - component is 18 N acting in negative y direction.
Answer:
x-component: -12
y-component- -18
Explanation:
The electrical power of a circuit can be calculated by the equation P = V × I. The table below shows the different voltages that can be supplied to the circuit. If current stays the same, which voltage will most likely result in the smallest electrical power?
A B C D
100V 25V 5V 30V
A
B
C
D
Answer: C. 5V
Explanation:
Since P = VI, power is directly proportional to voltage
If current is constant, then the lower the voltage, the lower the power. The lowest voltage shown is 5 Volts.