In a parallel circuit, a 50 ohm hairdryer has 2.4 amps of current flowing through it.
how much current is flowing through a light bulb which is in parallel with the
hairdryer?

The term that best describes the distance at which a patient cannot clearly see any object closer than 74.0 cm is the near point or near-point distance.

The near point or near-point distance is the closest distance at which an individual can focus on an object without experiencing any blurriness or loss of clarity. In this case, the measurement indicates that the patient cannot clearly see any object that lies closer than 74.0 cm to their eye.

The near point is a measure of the near vision or the ability to focus on objects at close distances. It varies from person to person and can change with age or certain eye conditions. When the near point distance increases, it indicates a decrease in near vision capability.

The near point is typically measured during an eye examination using a handheld near vision chart or other specialized equipment. By determining the distance at which a patient can no longer focus clearly, eye care professionals can assess their near vision and prescribe appropriate corrective measures if necessary, such as reading glasses or contact lenses.

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Answer:

t=1.87s

b. 9.74

Explanation:

First to find time set an equation for angular velocity:

\(w_{2}=w_{1}+\alpha t\\0=10.4-5.55t\\-10.4=-5.55t\\1.87=t\)

Now to find the angle:

\(x=x+wt+\frac{\alpha}{2} t^2\\x=10.4*1.87-\frac{5.55}{2} 1.87^2\\x=9.74\)

Answer:

1.

2.

Explanation:

1. KE = 1/2mv^2

= 1/2 (12)×5^2

= 6× 25

KE = 150j

2. KE = 1/2 mv^2

100j = 1/2m(5)^2

2(100j) = m×25

m = 200÷ 25

m = 8 kg

hope it helps

Answer:

D. Output force

Explanation:

The input force is the effort used to run the machine and this results in an output force.

a) The isocost curve equation is G = (20000 - 100C)/500. b) The isocost curve equation is G = (30000 - 100c)/500. c) The isocost curve equation is G = (20000 - 100C)/375. d)  The isocost curve equation is G = (20000 - 120C)/500.

To draw the isocost curve showing the different combinations of gas and coal, we need to use the cost per unit values for coal and gas, as well as the given expenditure (TC) and the changes in expenditure or prices.

Let's denote the quantity of coal as C and the quantity of gas as G. The cost per unit of coal is 100, and the cost per unit of gas is 500.

(a) Initial expenditure (TC) of 20000:

To find the combinations of gas and coal that can be purchased with an initial expenditure of 20000, we can use the following isocost equation

TC = 100C + 500G

We can rearrange the equation to solve for G in terms of C

G = (TC - 100C) / 500

Now we can plot the isocost curve with TC = 20000 using the equation above.

(b) Expenditure (TC) increases by 50%

If the expenditure increases by 50%, the new expenditure (TC_new) becomes 1.5 × TC = 1.5 × 20000 = 30000.

We can use the same isocost equation as before, but with the new expenditure value:

TC_new = 100C + 500G

Rearranging the equation to solve for G

G = (TC_new - 100C) / 500

Now we can plot the isocost curve with TC_new = 30000.

(c) Gas price reduced by 25%:

If the gas price is reduced by 25%, the new cost per unit of gas (Gas_new) becomes 0.75 × 500 = 375.

We can use the original isocost equation, but with the new cost per unit value:

TC = 100C + 375G

Rearranging the equation to solve for G

G = (TC - 100C) / 375

Now we can plot the isocost curve with the reduced gas price.

(d) Coal price rises by 20%

If the coal price rises by 20%, the new cost per unit of coal (Coal_new) becomes 1.2 × 100 = 120.

We can use the original isocost equation, but with the new cost per unit value:

TC = 120C + 500G

Rearranging the equation to solve for G:

G = (TC - 120C) / 500

Now we can plot the isocost curve with the increased coal price.

By plotting these isocost curves on a graph with G on the y-axis and C on the x-axis, we can visualize the different combinations of gas and coal that can be purchased at the given expenditures or price changes.

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Answer:

Male Mountain Bluebirds are entirely bright blue above and duller blue-gray below, but this bird has hints of chestnut coloration on his underparts, reminiscent of Eastern and Western Bluebirds. His appearance matches descriptions of hybrids between Mountain Bluebirds and Eastern or Western Bluebirds. These mixed pairs have been recorded multiple times. Their offspring are also usually fertile, evidenced by successful nestings of hybrid adults with pure individuals.

Historical reports of mixed pairs have been most common between Mountain and Eastern Bluebirds, which are more closely related to each other than either is to Western Bluebirds. Many of these reports have come from where the ranges of Mountain and Eastern Bluebirds overlap — in the southern prairie provinces of Canada and the northern Great Plains states of the U.S. However, mixed pairs have been recorded in Nebraska, eastern Minnesota, and even southern Ontario, aided by the wanderlust of Mountain Bluebirds.

Explanation:

To estimate the Coulomb charging energy for a metallic sphere embedded in silicon, we can use the formula for the electrostatic energy of a charged capacitor. The charging energy, also known as the electrostatic energy or the electrostatic potential energy, is given by:
E = (1/2) * Q^2 / C
Where:
E is the charging energy,
Q is the charge on the metallic sphere, and
C is the capacitance of the system.

For a metallic sphere embedded in silicon, the capacitance can be approximated by the parallel plate capacitor formula:
C = ε0 * A / d
Where:
C is the capacitance,
ε0 is the vacuum permittivity (8.854 x 10^-12 F/m),
A is the surface area of the metallic sphere (4πr^2, where r is the radius), and d is the distance between the metallic sphere and the surrounding medium (in this case, silicon).
To estimate the charging energy, we need to know the charge on the metallic sphere. Without that information, we cannot provide a specific value for the Coulomb charging energy. The charging energy depends on the magnitude of the charge, which can vary depending on the system and the charging process.
If you have the charge value for the metallic sphere, please provide it so that we can calculate the charging energy.

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The impulse of a bullet is the product of the force and the time for which it is applied to the object. The impulse of a bullet can be calculated using the equation.The impulse of the bullet is 0.8 Ns.

 Impulse = Force x Time.The given question states that a 0.001 kg bullet is fired with a velocity of 800 m/s into a soft wood of mass 1 kg, resting on a smooth surface. To calculate the impulse of the bullet, we need to determine the force applied to the wood by the bullet during the time of impact.First, let us find the initial momentum of the bullet, which is:Initial momentum = mass x velocity = 0.001 kg x 800 m/s = 0.8 kg m/sWhen the bullet hits the wood, it comes to rest. Therefore, the final velocity of the bullet is 0 m/s. To find the force exerted on the wood, we can use the law of conservation of momentum.

The total momentum of the system before the collision is equal to the total momentum of the system after the collision, which is:Initial momentum of bullet = Final momentum of bullet + Momentum of wood0.8 kg m/s = 0 + (mass of wood) x (final velocity of wood)We know that the mass of wood is 1 kg and the final velocity of wood is unknown. Solving for final velocity of wood gives:Final velocity of wood = 0.8 m/sSo, the change in velocity of the wood is:Δv = final velocity - initial velocity = 0.8 m/s - 0 m/s = 0.8 m/sThe time of impact can be calculated using the equation:Time = Δv / aWhere, a is the acceleration of the wood, which can be found using the equation:F = maF = mΔv / tTherefore,a = F / m = (mΔv / t) / m = Δv / tSubstituting the given values, we get:a = 0.8 m/s / 0.001 s = 800 m/s²The time of impact is:Time = Δv / a = 0.8 m/s / 800 m/s² = 0.001 sTherefore, the force exerted on the wood by the bullet is:F = ma = 1 kg x 800 m/s² = 800 NThe impulse of the bullet can be calculated using the equation:Impulse = Force x Time= 800 N x 0.001 s= 0.8 NsAnswer: The impulse of the bullet is 0.8 Ns.

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Answer:

Acute exposure to the vacuum of space: No, you won't freeze (or explode) ... Upon sudden decompression in vacuum, expansion of air in a person's lungs is likely to cause lung rupture and death unless that air is immediately exhaled.

Explanation:

Answer:

Its A

Explanation:

To reduce the strength of an electromagnet, Juan must  reduced the number of loops in the wire.

The strength of an electromagnetic is the effect or force that an electromagnet exerts in a given field.

The strength of an induced emf in a given magnetic field is given by;

emf = NBA/t

where;

Decrease in number of turns of the wire, reduces the strength of the magnetic field.

Thus, to reduce the strength of an electromagnet, Juan must  reduced the number of loops in the wire.

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The true statements are:Jupiter's Great Red Spot is in the southern hemisphere.The fastest wind speed recorded in our solar system is on Neptune.

Among the given statements, only two are true. Jupiter's Great Red Spot, a massive storm, is indeed located in the southern hemisphere of the planet. The Great Red Spot is a prominent feature on Jupiter, visible as a giant swirling storm system. On the other hand, the fastest wind speed recorded in our solar system, reaching speeds of up to 2,100 kilometers per hour (1,300 miles per hour), is found on Neptune.

The strong winds on Neptune contribute to its dynamic atmosphere and the formation of features like the Great Dark Spot. The remaining statements about Pluto, Saturn's moon Enceladus, and Uranus are not true according to our current understanding.

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Explanation:

The equivalent resistance of the circuit is 0.67 ohms. The current through the circuit is 7.46 amps.

1/Req = 1/R1 + 1/R2 + 1/R3 + ...

In this case, we have three resistors connected in parallel, so:

1/Req = 1/R1 + 1/R2 + 1/R3

1/Req = 1/2.00 + 1/2.00 + 1/2.00

1/Req = 1.5

Req = 0.67 ohms

the equivalent resistance of the circuit is 0.67 ohms.

I = V/R

In this case, the voltage is 5V and the resistance is 0.67 ohms, so:

I = 5/0.67

I = 7.46 amps

Resistance is the measure of an object's ability to impede the flow of electric current through it. It is measured in ohms (Ω). Resistance is determined by the physical properties of an object, such as its dimensions, material, and temperature. When electric current flows through a conductor, it encounters resistance that slows down its flow. This resistance is caused by the collisions between electrons and the atoms in the conductor. The greater the number of collisions, the higher the resistance.

Resistance can be affected by changes in the physical properties of the conductor, such as length, cross-sectional area, or temperature. A longer or narrower conductor will have higher resistance, while a wider conductor will have lower resistance. The resistance of most materials increases with temperature. Understanding resistance is important for designing and operating electrical circuits. By controlling the resistance of a circuit, engineers can ensure that the correct amount of current flows to power the devices connected to it.

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The other way to name pm−→−pm→ is "vector pm." A vector is a mathematical object that has both magnitude (size) and direction. Vectors are denoted with an arrow over a letter (e.g., pm →).

Vectors can be added together, and they can be multiplied by scalars (numbers). They are used in a variety of fields, including physics, engineering, and computer science.

Vectors can be described using different notations. For example, pm−→−pm→ can also be written as vector pm.

Similarly, pw−→−pw→ can be written as vector pw, mp−→−mp→ can be written as vector mp, and pt−→−pt→ can be written as vector pt

Another way to name pm−→−pm→ is "vector pm." This is a common notation used to describe vectors in mathematics and physics. Similarly, pw−→−pw→ can be written as vector pw, mp−→−mp→ can be written as vector mp, and pt−→−pt→ can be written as vector pt.

Vectors are an important concept in mathematics and physics. They are used to describe physical quantities that have both magnitude (size) and direction.

Vectors can be described using different notations. One common notation is to use an arrow over a letter to indicate that it represents a vector.

For example, pm−→−pm→ can be written as vector pm. Similarly, pw−→−pw→ can be written as vector pw, mp−→−mp→ can be written as vector mp, and pt−→−pt→ can be written as vector pt.

Using vector notation can help to simplify calculations and make them easier to understand. For example, when working with forces in physics, it is often easier to work with vectors than with scalars.

Vectors can be added together to find the resultant force, and their direction can be used to determine the direction of the force.

Overall, vectors are an important concept in mathematics and physics. They are used to describe physical quantities that have both magnitude and direction.

Vectors can be described using different notations, including arrow notation. This notation can help to simplify calculations and make them easier to understand.

Vectors are an important concept in mathematics and physics that can be described using different notations. One common notation is to use an arrow over a letter to indicate that it represents a vector. For example, pm−→−pm→ can be written as vector pm. Similarly, pw−→−pw→ can be written as vector pw, mp−→−mp→ can be written as vector mp, and pt−→−pt→ can be written as vector pt. Using vector notation can help to simplify calculations and make them easier to understand.

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The velocity of the two-block system at the top of the ramp is half the initial velocity of the second block. However, the force due to gravity exerted on both blocks as they travel up the ramp is not relevant to the conservation of momentum because it is a conservative force that does not affect the total momentum of the system.

The total momentum of the system before the collision is equal to the momentum of the second block, which is given by:

p = mv0

where m is the mass of each block, and v0 is the initial velocity of the second block.

After the collision, the two blocks move together with an unknown velocity vr. The total momentum of the system after the collision is:

p' = (2m)vr

where 2m is the total mass of the two blocks, and vr is the final velocity of the system.

The conservation of momentum states that the total momentum of an isolated system remains constant, provided no external forces act on it. Therefore, the total momentum of the system before the collision is equal to the total momentum of the system after the collision:

p = p'

Substituting the expressions for p and p' gives:

mv0 = (2m)vr

Simplifying gives:

vr = v0/2

The velocity of the system can be measured to confirm that the conservation of momentum applies to the system.

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Answer:

Explanation:

Given,

We need to find the wavelength of sound wave :

We know that ,

where,

on substituting the values we get :

\(\dashrightarrow \sf \: 220 = \dfrac{680}{\lambda} \\ \\ \dashrightarrow \sf \: \lambda = \frac{680}{220} \\ \\ \dashrightarrow \sf \:\lambda = 3.0909 \: m\\ \)

Hence,

Answer:

El mango llega al suelo a una velocidad de 329.982 metros por segundo.

Explanation:

El mango experimenta un movimiento de caída libre, es decir, un movimiento uniformemente acelerado debido a la gravedad terrestre, despreciando los efectos de la viscosidad del aire y la rotación planetaria. Entonces, la velocidad final del mango, es decir, la velocidad con la que llega al suelo, se puede determinar mediante la siguiente fórmula cinemática:

\(v = v_{o}+g\cdot t\) (1)

Donde:

\(v_{o}\) - Velocidad inicial, en metros por segundo.

\(v\) - Velocidad final, en metros por segundo.

\(g\) - Aceleración gravitacional, en metros por segundo al cuadrado.

\(t\) - Tiempo, en segundos.

Si sabemos que \(v_{o} = -75\,\frac{m}{s}\), \(g = -9.807\,\frac{m}{s^{2}}\) y \(t = 26\,s\), entonces la velocidad final del mango es:

\(v = v_{o}+g\cdot t\)

\(v = -75\,\frac{m}{s}+\left(-9.807\,\frac{m}{s} \right)\cdot (26\,s)\)

\(v = -329.982\,\frac{m}{s}\)

El mango llega al suelo a una velocidad de 329.982 metros por segundo.

Answer:

Ecliptic

Explanation:

You asked for the term that is used to describe Earth going around the sun

The ecliptic is the path the sun, moon, and planets take across the sky as seen from Earth. It best defines the plane of the Earth's orbit around the sun. The imaginary line can best be visualized in the days just before full moon.

Hope it helped

The Debye approximation is a model used to describe the thermodynamic properties of a solid as a function of temperature.

It assumes that the vibrations of the atoms in the solid can be treated as phonons, which are quantized units of sound energy. The Debye model is based on the assumption that the density of phonon states is constant and that the speed of sound is independent of frequency.

(a) The partition function Z is given by:

Z = e^(-E/kT) + e^(-(E + ħω)/kT) + e^(-(E + 2ħω)/kT) + ...

where E is the ground state energy and ω is the angular frequency of the phonon modes. In the Debye approximation, the sum over all possible phonon modes is replaced by an integral:

Z = V(4π/3)(kT/ħω_D)^3 ∫0^(ω_D/kT) x^2/(e^x - 1)dx

where V is the volume of the solid and ω_D is the Debye frequency, which is a characteristic frequency of the solid.

(b) The mean energy Ē can be obtained by taking the derivative of the partition function with respect to temperature:

Ē = - (∂ ln Z)/(∂β)

where β = 1/kT. Using the Debye approximation for Z, we can show that:

Ē = (3/2)kT + 9Nħω_D/8e^(βħω_D) - (9Nħω_D/8)

where N is the number of atoms in the solid.

(c) The entropy S can be obtained from the partition function:

S = -k(∂ ln Z)/(∂T) + k ln Z

Using the Debye approximation for Z, we can show that:

S = (3/2)Nk + (9Nħω_D/8kT)e^(βħω_D)/(e^(βħω_D) - 1) - Nk ln (V/N(4π/3)(kT/ħω_D)^3)

where the first term is the classical entropy contribution, the second term is the vibrational entropy contribution, and the third term is the configurational entropy contribution.

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We know, formula of capacitance in parallel plate capacitor is given by :

\(C = \dfrac{\epsilon_o A}{d}\)

Here, \(\epsilon_o = 8.85 \times 10^{-12} \ F.m^{-1}\)

So,

\(A = \dfrac{Cd}{\epsilon_o}\\\\A = \dfrac{1.11 \times 10^{-9}\times 8.89 \times 10^{-7}}{8.85\times 10^{-12}}\\\\A = 1.11 \times 10^{-4}\ m^2 \ or \ 1.11 \ cm^2\)

Hence, this is the required solution.

Answer:

7.09797297 • 10^-7

Explanation:

You just follow the formula:

C = εA/d

ε = 8.85 • 10^-12

A = 8.89 • 10^-7

D = 1.11• 10 ^-9

So:

C = (8.85 • 10^-12)(8.89• 10^-4)/1.11 • 10 ^-9 = 7.09797297 • 10^-7

Good Luck!  :)

Explanation:

The units of pressure is called derived units because it is simply derived from base unit which is distance and a derived unit which is force, which is derived from acceleration, a derived unit as well, and mass, a base unit. As we all know, work is defined as the force x distance. Thus making work a derived unit.

Answer:

120 hours

Explanation:

(a) The frequency of oscillation of the rodent is approximately 0.444 Hz.

(b) For critically damped motion, the damping constant (b) should be approximately 1.788 kg/s.

To find the frequency of oscillation of the rodent, we can use the equation for the angular frequency of a mass-spring system:

ω = sqrt(k / m)

where:

ω is the angular frequency,

k is the force constant (spring constant),

m is the mass of the rodent.

Given:

m = 0.320 kg

k = 2.50 N/m

Plugging in the values:

ω = sqrt(2.50 N/m / 0.320 kg)

ω = sqrt(7.8125 N/kg)

ω ≈ 2.793 rad/s

To find the frequency, we can convert the angular frequency to regular frequency:

f= ω / (2π)

f ≈ 2.793 rad/s / (2π) ≈ 0.444 Hz

Therefore, the frequency of oscillation of the rodent is approximately 0.444 Hz.

To determine the value of the damping constant (b) for critically damped motion, we can use the following formula:

b_critical = 2 * sqrt(k * m)

Given:

k = 2.50 N/m

m = 0.320 kg

Plugging in the values:

b_critical = 2 * sqrt(2.50 N/m * 0.320 kg)

b_critical = 2 * sqrt(0.8 N kg/s²)

b_critical ≈ 2 * 0.894 kg/s

b_critical ≈ 1.788 kg/s

Therefore, for the motion to be critically damped, the value of the damping constant (b) should be approximately 1.788 kg/s.

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Answer:

B. square root of 72 is irrational.

D. Square root of 23 is irrational

Explanation:

square root of 72 and 23 is not a perfect square, therfore not rational

The magnetic flux through a surface is given by the formula:

Φ = B * A * cos(ϕ), the magnetic flux through the surface is approximately 0.00209 Weber.

The magnetic flux through a surface is given by the formula:

Φ = B * A * cos(ϕ)

where Φ is the magnetic flux, B is the magnetic field, A is the area of the surface, and ϕ is the angle between the magnetic field and the normal to the surface.

Given that the magnetic field has a magnitude of 0.0616 T, the radius of the circular surface is 0.214 m, and the angle ϕ is 27.7 degrees, we can calculate the magnetic flux.

First, we need to calculate the area of the circular surface:

A = π * r²

Substituting the given radius value into the equation, we have:

A = π * (0.214 m)²

Next, we can calculate the magnetic flux:

Φ = (0.0616 T) * (π * (0.214 m)²) * cos(27.7°)

Evaluating this expression, we find:

Φ = 0.0616 T * 0.0456 m² * 0.891

Finally, we can calculate the magnetic flux:

Φ ≈ 0.00209 Wb

Therefore, the magnetic flux through the surface is approximately 0.00209 Weber.


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Answer: d

Explanation: divide it by 4

Induced electric and magnetic fields produce stronger electric fields through electromagnetic induction.

When a magnetic field changes in strength or direction, it induces an electric field in the surrounding space. This phenomenon is known as electromagnetic induction. Similarly, when an electric field changes in strength or direction, it induces a magnetic field. These induced fields can interact with the original fields, leading to an amplification or strengthening effect.

When an induced magnetic field interacts with an original electric field, the resulting electric field becomes stronger. This occurs because the induced magnetic field adds to the original magnetic field, causing a larger change in magnetic flux. According to Faraday's law of electromagnetic induction, this change in magnetic flux induces a stronger electric field.

To understand this concept, consider a scenario where a magnet moves towards a coil of wire. As the magnet approaches the coil, the changing magnetic field induces an electric field in the wire. This induced electric field creates a potential difference or voltage across the coil. The greater the rate of change of the magnetic field, the stronger the induced electric field and the resulting voltage.

In summary, induced electric and magnetic fields can produce stronger electric fields. This is due to the interaction and amplification of the original fields through electromagnetic induction.

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Answer:

50 kmph

Explanation:

300 / 6 = 50