Una placa cuadrada de cobre que mide 4 cm por lado a 20°C se calienta hasta 120°C. Cuál es el incremento del área de la placa de cobre?

Answer:

\(\huge\boxed{\sf Circumstellar\ discs }\)

Explanation:

Astronomers discovered matter made up of gas, dust or asteroids etc. around nearby stars. This matter is called circumstellar disc (due to it being ring-shaped). These circumstellar discs are materials out of which planets form.

\(\rule[225]{225}{2}\)

Hope this helped!

Hi there!

Recall the equation for electric potential energy for point charges:
\(\boxed{U = \frac{1}{4\pi \epsilon_0} \frac{q_1q_2}{r}}\)

U = Electric potential energy (J)

ε₀ = Permittivity of Free Space (8.85 × 10⁻¹² C/Vm)

q₁, q₂: Charges (C)
r = distance between charges (m)

Solving for r:
3 - (-3) = 6m

Now, plug in the values:

\(U = \frac{1}{4\pi \epsilon_0} \frac{(.00001)(.00001)}{6} = \boxed{1.498 J}\)

The maximum tension the string can withstand is approximately 50.265 Newtons.

To find the maximum tension the string can withstand, we can use the centripetal force equation:

F = \((m * v^2) / r\)

where F is the tension in the string, m is the mass, v is the linear velocity, and r is the radius of the circular path.

First, we need to find the linear velocity (v) of the mass. The linear velocity is given by the formula:

v = (2πr) / T

where T is the period of revolution.

Given that the period of revolution is 0.25 seconds and the radius of the circular path is 40 cm (0.4 m), we can calculate the linear velocity:

v = (2π * 0.4 m) / 0.25 s

v ≈ 10.053 m/s

Now, we can substitute the values into the centripetal force equation:

F =\((m * v^2) / r\)

Given that the mass is 200 grams (0.2 kg) and the radius is 40 cm (0.4 m), we can calculate the maximum tension:

F = \((0.2 kg * (10.053 m/s)^2) / 0.4 m\)

F ≈ 50.265 N

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If the acceleration of the rock is around 10 m/s2 downwards, then the distance fallen by the rock during a 1 second time interval is largest during the first second of falling.

The acceleration of the rock is around 10 m/s2 downwards, which means that the speed of the rock increases by 10 m/s every second. Therefore, the distance fallen by the rock during a 1-second time interval is largest during the first second of falling.

This is because during the first second, the rock starts from rest and accelerates to a speed of 10 m/s, covering a distance of 5 meters. The distance fallen by the rock during the second second will be larger than during the first second, but the increase in distance will be less than the increase during the first second, as the rock has already gained some speed.

Therefore, the distance fallen by the rock is not always the same throughout the fall, and it is largest during the first second of falling.

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The given paraboloid coordinate system (u, v, ϕ) with x = u.v cosϕ,

y = u.v sinϕ , z = 1/2 (u2 - v2) is orthogonal. The gradient is ∇f = (∂f/∂u) e_u + (∂f/∂v) e_v + (∂f/∂ϕ) e_ϕ ; divergent is ∇²f = ∇ · (∇f) ; curl is (∇ x) and laplacian is  (∇²).

We can prove that the paraboloid coordinate system (u, v, ϕ) is orthogonal, by computing the dot products of the basis vectors. The basis vectors in this coordinate system are given by:

e_u = (∂x/∂u, ∂y/∂u, ∂z/∂u) = (v cosϕ, v sinϕ, u)

e_v = (∂x/∂v, ∂y/∂v, ∂z/∂v) = (u cosϕ, u sinϕ, -v)

e_ϕ = (∂x/∂ϕ, ∂y/∂ϕ, ∂z/∂ϕ) = (-u.v sinϕ, u.v cosϕ, 0)

By Taking the dot products, we find that e_u · e_v = 0, e_v · e_ϕ = 0, and e_ϕ · e_u = 0. This proves that the basis vectors are mutually perpendicular, and therefore, the coordinate system is orthogonal.

Next, we can calculate the gradient (∇) in this coordinate system. The gradient of a scalar function f(u, v, ϕ) is given by:

∇f = (∂f/∂u) e_u + (∂f/∂v) e_v + (∂f/∂ϕ) e_ϕ

The divergence (∇ ·) and curl (∇ x) can be computed using the standard formulas in terms of the basis vectors. Finally, the Laplacian (∇²) can be obtained by taking the divergence of the gradient:

∇²f = ∇ · (∇f)

Thus, By evaluating these operations in the given coordinate system using the appropriate partial derivatives, we can determine the gradient, divergent, curl, and Laplacian for any scalar function in the (u, v, ϕ) coordinates.

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Answer:

Velocity

Explanation:

Objects in motion usually have a speed which is scalar or velocity which is a vector.

A scalar quantity is one with magnitude but has no directional attribute.

A vector quantity is one with both magnitude and directional attribute.

Speed is a scalar quantity that describes the magnitude of motion a body accrues.

Velocity is a vector quantity that describes both the magnitude of motion and the direction of motion in a body.

Answer:

0.5*10uF * 16*16 =0.0128

Explanation:

I have no explanation just like my soul.

Answer:

As much I know the gravity on moon is 1.62m/s२.

Answer:

Explanation:

Let mass of cart be m₁ and m₂

m₁ + m₂ = 1.5 kg

At the time of release , their momentum will be conserved

m₁ v ₁ = m₂ v₂

m₁ v ₁ = (1.5 - m₁ ) x 2 v₁

m₁ = 3 - 2m₁

3m₁ = 3

m₁ = 1 kg

m₂ = .5 kg

Answer:

'brightness' and 'place' (?)

Explanation:

You can tell the distance in both simple and complicated ways; for instance, some methods like using luminosity don't work for all stars*

quote for better understanding:

"Farther methods are usually based on identifying what type of star a given star is, and estimating its luminosity .."

"..We then measure its apparent brightness (how bright it looks)* and do some math to figure out how far away it is."

(more detailed quote):

"By knowing the actual brightness and comparing it to the apparent brightness seen from Earth (that is, by looking at how dim the star has become once its light reaches Earth), they can determine the distance to the star."

Alternatively by observing the position of the star or its place a similar technique is used:

quote:

"Earth orbits the Sun, so it is in a slightly different position in January than in July. Nearby stars will seem to slightly shift in position in our sky relative to far-away stars."

In conclusion-- luminosity is commonly how astronomers know that stars are not all the same distance away from us.

Answer:

The answer is 1760 J

Explanation:

Given:

m = 55 kg

v = 8 m/s

Unknown:

KE or kinetic energy of the rock

Formula and solution:

KE = 1/2 mv²

KE = 1/2 (55kg) (8 m/s)²

1/2 of 55kg = 55 ÷ 2 = 27.5kg

8² or 8×8 = 64 m²/s²

KE = (27.5kg) (64 m²/s²)

Final Answer:

KE = 1 760kg.m²/s² or simplify as 1760 J

Answer:

Explanation:

Density=mass÷volume

=45÷3

=15

A heat pump used to heat a house runs about one third of the time. The house is losing heat at an average rate of 25,000 kJ/h. If the COP of the heat pump is 2.2,the power the heat pump draws when running is approximately 3,156.57 kW.

The coefficient of performance (COP) of a heat pump is defined as the ratio of the heat output to the work input. In this case, the COP is given as 2.2, which means that for every unit of work input, the heat pump produces 2.2 units of heat output.

We know that the house is losing heat at an average rate of 25,000 kJ/h. Since the heat pump runs for one-third of the time, we can calculate the heat produced by the heat pump in one hour.

Heat produced by heat pump = COP * Work input

Heat produced by heat pump = 2.2 * Work input

Since the heat produced by the heat pump is equal to the heat lost by the house, we have:

25,000 kJ/h = 2.2 * Work input

Now, we can solve for the work input:

Work input = 25,000 kJ/h / 2.2

Work input ≈ 11,363.64 kJ/h

To determine the power the heat pump draws when running, we need to convert the work input to kilowatts (kW).

1 kilowatt (kW) = 3.6 megajoules per hour (MJ/h)

Work input (kW) = Work input (kJ/h) / 3.6

Work input (kW) ≈ 11,363.64 kJ/h / 3.6

Work input (kW) ≈ 3,156.57 kW

Therefore, the power the heat pump draws when running is approximately 3,156.57 kW.

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Spatial pulse length is defined as the time from onset of systole to the time peak systole occurs.

This time period is an important factor in the diagnosis and treatment of cardiovascular diseases. It is typically measured using an echocardiogram or an electrocardiogram. During this time period, the heart contracts and relaxes, producing a wave of blood that is sent throughout the body.

The time spent in systole is used to measure the efficiency of the heart’s pumping ability. The spatial pulse length helps to determine the amount of blood that is being pumped, the amount of pressure that is being generated and the amount of energy that is being expended in order to push the blood through the body.

The length of the spatial pulse can also be used to assess the health of the heart and how well it is functioning. Knowing this information can be beneficial for medical professionals in determining the best course of treatment for a patient.

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Answer:

Do it yourself

Explanation:

gsh

Answer: cool and dim :)

Explanation:

Answer:

Explanation:

Here we are given sound moving in air at 43.2 m/s and that has a frequency of 2.11 hz and we need o calculate the Wavelength.

Using formula:

\( \\ \: \: \longrightarrow \: \: \:{ \underline{ \boxed{ \sf Frequency = \dfrac{Wave \: speed}{Wave \: length}}}} \\ \)

Where,

On Substituting the values, we get:

\(\\ \sf \: \: \: \longrightarrow \: \: \: 2.11 = \dfrac{43.2}{Wave \: Length} \\ \\ \\ \sf \: \: \: \longrightarrow \: \: \:Wave\: Length = \frac{43.2}{2.11} \\ \\ \\ \sf \: \: \: \longrightarrow \: \: \:{ \pink{ \underline{Wave \:Length = 20.47 m}} }\\ \\ \)

Hence,

\(\large\boxed{\bold{Formula: λ= \frac{v}{f}}}\)

In this question all the values are given so we'll simply have to substitute the values and solve.

Let's solve!

We'll have to divide the velocity or speed by the frequency.

Substitute the values according to the formula.

\( λ= \frac{43.2}{2.11}\)

Calculator answer:

\(\bold{λ= 20.47393365 \: m}\)

Now, we can round off to the nearest hundredth.

The value in the thousandths place is smaller than 5 so we won't have to round up.

Final answer:

\(\large\boxed{\bold{λ= 20.47 \:m}}\)

Therefore, the wavelength is 20.47 meter.

Answer: Option A

The direction of the flow of the object in space can be calculated by unit vector of the velocity field.

The given velocity field is V = (y-1)i + (x)j. Let's assume a unit vector, u in the direction of the flow, then the direction of the flow is the same as the direction of the vector, u.

To find the direction of the vector u, we can use the following formula: u = V/|V|

where |V| is the magnitude of the vector V. Since V = (y-1)i + (x)j, we have |V| = sqrt((y - 1)² + x²)

Hence, the unit vector, u in the direction of the flow is given by: u = V / |V| = ((y-1)i + (x)j) / sqrt((y - 1)² + x²)

Therefore, the direction of the flow is given by the unit vector u = ((y-1)i + (x)j) / sqrt((y - 1)² + x²).

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As the object distance becomes larger, the image distance approaches the focal length of the lens, while the object distance approaches infinity.

In optics, the relationship between object distance (u), image distance (v), and focal length (f) is given by the lens equation, 1/f = 1/v + 1/u. When the object distance becomes much larger than the focal length, i.e., u >> f, the image distance v approaches the focal length f. This means that the image is formed at a distance from the lens that is approximately equal to the focal length. On the other hand, as the object distance approaches infinity, the image distance approaches the same value as the focal length. This phenomenon is known as the "far point" of the lens and is used to correct for certain types of vision problems, such as nearsightedness.

Therefore, As the object distance becomes larger, the image distance approaches the focal length of the lens, while the object distance approaches infinity.

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A student ties a lead cube to an oval-shaped block to prevent it from floating and immerses it in water density as part of a study to identify the sort of wood it is composed of.

The term "density" (also known as "volumetric mass density" or "specific mass") refers to a substance's mass per unit of volume. Although the Latin letter D may also be used, the sign most frequently used for density is (the lower case Greek letter rho).

According to legend, Archimedes shouted "Eureka!" as he rushed through the Sicilian streets. ("I've discovered it!") He had figured out what density was. Everyone has spent a significant amount of time in water during their life. The second thing Archimedes noticed was that he felt lighter floating.

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The capacitance of the system with 9.9 cm diameter circular plates separated by 0.75 is 0.0247 Farads (F).

The capacitance (C) of a parallel plate capacitor can be calculated using the formula:

C = (ε₀ * κ * A) / d

where:

ε₀ = 8.85 × 10⁻¹²  C^2/(N * m^2) is the vacuum permittivity constant,

κ = 80 is the dielectric constant of water (and milk in this case, since they have the same dielectric constant),

A = π * r^2 is the area of one of the circular plates (where r is the radius of the plate),

d = 0.75 cm = 0.0075 m is the separation between the plates.

First, let's find the radius (r) of the circular plates:

r = diameter / 2

r = 9.9 cm / 2 = 0.0495 m

Now, we can calculate the area (A) of one of the plates:

A = π * (0.0495 m)^2 = 0.007661 m²

Now, we can plug these values into the capacitance formula:

C = (8.85 × 10^(-12) C^2/(N * m^2) * 80 * 0.007661 m²) / 0.0075 m

C ≈ 0.0247 F

So, the capacitance of the system is approximately 0.0247 Farads (F).

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Answer:

The final velocity of her partner is approximately -1.04 m/s or 1.04 m/s in the opposite direction to her direction of motion

Explanation:

The given parameters are;

The mass of the man, m₁ = 65 kg

The mass of the woman, m₂ = 45 kg

Taking the relative initial velocity of the man and the woman as 0 m/s, we have;

The initial velocity of the man, v₁₁ = 0 m/s

The initial velocity of the man, v₁₂ = 0 m/s

The final velocity of the woman, v₂₂ = 1.5 m/s

The final velocity of the man = v₂₁

Therefore, we have, by the conservation of momentum principle;

The total initial momentum = The total final momentum

Which gives;

m₁ × v₁₁ + m₂ × v₁₂ = m₁ × v₂₁ + m₂ × v₂₂

Substituting the known values;

65 × 0 + 45 × 0 = 65 × v₂₁ + 45 × 1.5

∴ 65 × v₂₁ + 45 × 1.5 = 0

45 × 1.5 = - 65 × v₂₁

v₂₁ = 45 × 1.5/(-65) ≈ -1.04 m/s

The final velocity of the man, her partner = v₂₁ ≈ -1.04 m/s.

A 60-m long wire is coiled so that it makes a coil containing 140 square loops, one on top of each other. if the wire carries a current of 21 a, the magnetic dipole moment of the coil will be 0.24 Am2

Dipole moment = i * A

Area = ?

given total length of the wire = 60 m number of square loops = 140total length of the wire  =  n * ( circumference of one loop) circumference of one loop = total length of the wire   / n  = 60 / 140 = 0.429 m circumference of one loop  = 4 * (side of the square )                                  0.429 = 4 * a a = \(0.107 m\)

Area of  loop = \(a^{2}\)=  \((0.107)^{2}\)  = \(0.01145 m^{2}\)

Dipole moment = i * A  = 21 * 0.01145 = 0.24 A  \(m^{2}\)

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The magnitude of the average acceleration of the ball during its contact with the wall is  68000 m/s².

When the ball collides with the wall, it experiences a change in momentum. The time interval during which the ball is in contact with the wall is 3.95 ms, or 0.00395 s. Using the principle of conservation of momentum,

We  use the average acceleration formula to find the acceleration of the ball during the collision.Initial momentum of the ball before collision = m₁v₁ = (0.0515 kg)(27.0 m/s) = 1.3905 kg⋅m/s. Final momentum of the ball after collision = m₂v₂ = (0.0515 kg)(-19.0 m/s) = -0.9785 kg⋅m/s

According to the conservation of momentum, the initial momentum is equal to the final momentum, so:m₁v₁ = m₂v₂

1.3905 kg⋅m/s = -0.9785 kg⋅m/s  Solving for the mass, we get: = 0.0515 kg

Using the average acceleration formula: a = Δv/Δt = (v₂ - v₁)/Δt = (-19.0 m/s - 27.0 m/s)/0.00395 s = -16455.7 m/s² Since the acceleration is in the opposite direction to the initial velocity, we take the magnitude to be: |a| = 16455.7 m/s² ≈ 68000 m/s².

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To fit a second-order regression model, you need to have a dataset with independent and dependent variables. Once you have the dataset, you can follow these steps:

1. Specify the second-order regression model: The second-order model can be represented as y = β₀ + β₁x + β₂x² + ɛ, where y is the dependent variable, x is the independent variable, β₀, β₁, and β₂ are the coefficients to be estimated, and ɛ is the error term.

2. Estimate the coefficients: Using a regression analysis method, such as ordinary least squares (OLS), estimate the coefficients β₀, β₁, and β₂ that minimize the sum of squared residuals.

3. Calculate the fitted values: Once the coefficients are estimated, calculate the fitted values by substituting the independent variable values into the second-order model equation.

4. Calculate the residuals: Compute the residuals by subtracting the observed dependent variable values from the corresponding fitted values.

5. Plot residuals against fitted values: Create a scatter plot with the fitted values on the x-axis and the residuals on the y-axis.

Now, to evaluate how well the second-order model fits the data, examine the scatter plot of residuals against the fitted values. A well-fitting model would exhibit a random scatter of residuals around zero, indicating that the model captures the variation in the data reasonably well. However, if the plot displays any discernible patterns or systematic deviations from zero, it suggests that the model may be inadequate in explaining the data. In summary, the second-order model's fit can be assessed by inspecting the scatter plot of residuals against fitted values. A good fit is indicated by random scatter around zero, while any patterns or systematic deviations suggest a poor fit. It is crucial to interpret the plot with context and domain knowledge to draw meaningful conclusions about the appropriateness of the second-order model for the data at hand.

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The corresponding range of hydrogen ion concentrations for the pH readings of 3.1 to 4.1 in wines is approximately 0.000794328 to 0.00007943.

The pH scale measures the acidity or alkalinity of a substance. A pH value below 7 is considered acidic, while a pH value above 7 is alkaline. In this case, the pH readings for wines vary from 3.1 to 4.1. To find the corresponding range of hydrogen ion concentrations, we can use the formula:


For the lower pH value of 3.1, the corresponding hydrogen ion concentration is:
Hydrogen ion concentration = 0.000794328

For the higher pH value of 4.1, the corresponding hydrogen ion concentration is:
Hydrogen ion concentration =  0.00007943

Therefore, the corresponding range of hydrogen ion concentrations for the pH readings of 3.1 to 4.1 in wines is approximately 0.000794328 to 0.00007943.

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Answer:

The difference in the concentration of a substance between two areas is called the concentration gradient . The bigger the difference, the steeper the concentration gradient and the faster the molecules of a substance will diffuse. The direction of diffusion is said to be 'down' or 'with' the concentration gradient.

Explanation: