A very long, straight wire carries a constant current. The magnetic field a distance d from the wire and far from its ends varies with distance d according to
A) d^-3
B) d
C) d^2
D) d^-1
E) d^-2

The force that causes dust and particles to clump together is known as the cohesive force.

The force that causes dust and particles to clump together is known as the cohesive force. Cohesive forces are attractive forces between the molecules of the particles. These forces arise due to the presence of intermolecular forces such as Van der Waals forces, hydrogen bonds, and dipole-dipole interactions. When these cohesive forces are stronger than the forces keeping the particles apart, the particles come together and stick to each other, forming clumps or aggregates. In the case of the formation of larger objects, such as planets or moons, the gravitational force also plays a role in pulling together smaller clumps of material to form larger bodies.

But scientists have long been baffled by precisely how dust particles adhere to one another. Electrostatic forces would create clumps the size of pebbles, much to how dust bunnies develop under a couch.

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The equivalent resistance between points A and B in the diagram is 22 Ω

We shall begin by obtaining the equivalent resistance in parallel (i,e the three 6 Ω resistor). Details below:

1/Rₜ = 1/R₁ + 1/R₂ + 1/R₃

1/Rₜ = 1/6 + 1/6 + 1/6

1/Rₜ = 3/6

1/Rₜ = 1/2

Rₜ = 2 Ω

Finally, we shall determine the equivalent resistance between A and B (i.e series arrangement). Details below:

R = R₁ + R₂ + R₃ + R₄ + R₅ + R₆ + R₇ + R₈ + R₉ + R₁₀ + R₁₁

R = 2 + 2 + 2 + 2 + 2 + 2 + 2 + 2 + 2 + 2 + 2

R = 22Ω

Thus, we can conclude that the equivalent resistance is 22 Ω

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Answer:

(b) 2

Explanation:

The maximum value of a short circuit current from line-to-neutral grounded will depend on various factors such as the voltage level of the electrical system.

The impedance of the circuit, the available fault current, and the protective devices that are in place to limit the current.In a typical residential or commercial electrical system in the United States, the maximum short circuit current from line-to-neutral grounded is typically around 10,000 to 20,000 amps for a 120/240 volt system. However, in larger industrial or utility systems with higher voltage levels, the short circuit current can be much higher and can exceed several hundred thousand amps.It is important to note that short circuit currents can cause significant damage to electrical equipment and can pose a serious safety hazard to people who come into contact with the electrical system.

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Answer:

trying to push a rock that never moves

Explanation:

Answer:

La energía mareomotriz se produce gracias al movimiento generado por las mareas, esta energía es aprovechada por turbinas, las cuales a su vez mueven la mecánica de un alternador que genera energía eléctrica, finalmente este último esta conectado con una central en tierra que distribuye la energía hacia la comunidad.    

The beam of light travels in a straight line, with electromagnetic waves oscillating transversely. The speed of light is constant, and the wavelength and frequency of light waves determine its color and other properties.

The beam of light consists of electromagnetic waves traveling in a straight line. These waves oscillate perpendicular to the direction of propagation, creating a transverse wave. Light waves travel at a constant speed in a vacuum, which is approximately 299,792 kilometers per second (or about 186,282 miles per second). This speed is often denoted as "c" and is a fundamental constant in physics.Light waves exhibit characteristics such as wavelength and frequency. Wavelength refers to the distance between successive wave crests or troughs, while frequency is the number of wave cycles passing through a point in one second. The speed of light is related to its wavelength and frequency through the equation c = λν, where c represents the speed, λ is the wavelength, and ν is the frequency.

Different colors of light are characterized by their wavelengths, with shorter wavelengths corresponding to higher frequencies and vice versa. For example, red light has a longer wavelength and lower frequency compared to blue light.

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Answer:

effort effort effort effort effort effort

The magnitude of the change in potential energy of the block-spring system when it travels from its lowest vertical position to its highest vertical position is mg(l₁ + l₀ + x - l₂)

The gravitational potential energy of the block is given by mgh, where m is the mass of the block, g is the acceleration due to gravity and h is the height of the block from the reference line. Let us assume that the block moves from its lowest position, l₂ to its highest position, l₁ and that the elongation of the spring in this position is x.

The total length of the spring when it is elongated by x is given by (l₀ + x)

Therefore, the gravitational potential energy of the block when it is at its lowest position, l₂ is given by mgl₂

And, the gravitational potential energy of the block when it is at its highest position, l₁ is given by mg(l₁ + l₀ + x)

Therefore, the change in potential energy of the block-spring system when it travels from its lowest vertical position to its highest vertical position is given by:

mg(l₁ + l₀ + x) - mgl₂

= mg(l₁ + l₀ + x - l₂)

The magnitude of the change in potential energy of the block-spring system when it travels from its lowest vertical position to its highest vertical position is mg(l₁ + l₀ + x - l₂).

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If earth were 2 times farther from the sun, the intensity will be decreased by a factor of 2.25.

Intensity is the power per unit area. it is a physical quantity. Brightness refers to how the human visual system perceives light and is not a physical quantity.

In direct sunlight, the measured lux can reach 130,000 40 when the sun is at the zenith (straight up). On most sunny days (without direct light), the illuminance is typically 10,000 to 25,000 lux. On cloudy days, the incident light can only reach 1000 lux, and at dusk, it is 10 lux 40.

we know that the intensity of sunlight at the earth's surface is given by

I = P/4πr²

P is the power radiated by the sun

r is the distance between the earth and the sun.

if the earth were 1.5 times farther away hence

I' =  P/4π(1.5)r²

   = 1/2.25 × (P/4πr²)

I' = 1/2.25

So, the intensity will be decreased by a factor of 2.25

here note that P remains constant and intensity is simply proportional to 1/r²

Hence, the intensity will be decreased by a factor of 2.25

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Angular momentum and linear momentum are two physical concepts that have some similarities and differences. They are both measures of motion, but they describe different types of motion.

Similarities:

Differences:

The term angular momentum and linear momentum are similar in that they are both conserved and vector quantities, but they differ in that angular momentum describes rotational motion and linear momentum describes translational motion.

In summary, angular momentum depends on both mass and distance from the axis of rotation, while linear momentum depends only on mass and velocity.

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Astronomers are interested in building observatories capable of detecting neutrinos, cosmic rays, and gravitational waves because these are not forms of light, they can provide information about the objects that emit them that light cannot.

Astronomers study the heavens at X-ray wavelengths using satellites and earth-orbiting observatories. Because X-rays and gamma rays are absorbed high in the Earth's atmosphere, instruments to observe this radiation must be placed in orbit above the atmosphere.

 Astronomy relies on electromagnetic radiation to help us see the universe. It allows us to see (visual light) on Earth. Pulsars, for example, emit X-rays but not visible light, which is how we know they exist. Neutrinos are also made up of energy, but they are made up of radioactive decay.

This enables scientists to measure them despite the fact that they can pass through almost anything without being noticed. Gravitational waves are disturbances caused by the curvature of space that expand at a specific rhythm or "force" that travels at the speed of time. Because they can all be measured without being light, they are ideal for being found in space to create more knowledge about the universe.

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Answer:

Explanation:

Given:

E₁ = E₂ = E₃ = 1.5 V

I₁ = 2 A

I₂ = 0.5 A

_________

I₃ - ?

Current strength in the common circuit:

I₁ = 2 V

The lamps are connected in parallel.

I₁ = I₂ + I₃

Ammeter 3 read:

I₃ = I₁ - I₂ = 2V - 0.5V = 1.5 V

Answer:1.5

Explanation:

The fraction is f = 84.196 % which is equivalent to 84%

We know that the value of acceleration due to gravity is

g = 9.8m/s^2

y₀ = 1 m

x = 10 m

and the time taken is not given

thus time taken = t sec

A₀ = π 1.5²

Thus the equation becomes;

y = y₀ + ut + 1/2 gt²

⇒ 0 = y₀ - 1/2 gt²

⇒ t = \(\sqrt{\frac{2y.}{g} }\)

After substituting the values we get

⇒ t = 0.45152 seconds

Thus x = x₀ + vt

10 = 0 + 0.45152 v

On further solving we get

v = 22.14741 m/s

From continuity equation we get

Av = A₀v₀

On substituting the values we get

⇒ A = 1.11706 cm^2

Thus the fraction is given by

f = ( A₀ - A ) / A₀ X 100 %

After substituting the values we get

f = 84.196 % which is equivalent to 84%

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Answer:

a type of chemical element whose properties are intermediate between those of metals and nonmetals.

Answer:

this happens when the input force is greater than the output force

HOPE IT HELPED YOU...

Answer:

you are making an observation that uses numbers.

Explanation:

To find the percentage relative density of the air, we need to calculate the vapor pressure and the saturation vapor pressure at the given temperature.

Given:

Average air temperature = 30°C

Dew point = 8°C

STP of water vapor at 30°C = 15.6 mmHg

Vapor pressure at 8°C = 9.5 mmHg

The vapor pressure at the given temperature is 9.5 mmHg, and the saturation vapor pressure at the average air temperature of 30°C is 15.6 mmHg.

To calculate the percentage relative density of the air, we use the formula:

Percentage Relative Density = (Vapor Pressure / Saturation Vapor Pressure) * 100

Substituting the values:

Percentage Relative Density = (9.5 mmHg / 15.6 mmHg) * 100

Calculating the value:

Percentage Relative Density = 60.8974358974359%

Therefore, the percentage relative density of the air is approximately 60.90%.

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Answer:

Instruction, admonition, nurture 

Explanation:

The kinetic energy of the child at the bottom of the incline is 106.62 J.

The given parameters:

The vertical height of fall of the child from the top of the incline is calculated as;

\(sin(20) = \frac{h}{2} \\\\h = 2 \times sin(20)\\\\h = 0.68 \ m\)

The gravitational potential energy of the child at the top of the incline is calculated as;

\(P.E = mgh\\\\P.E = 16 \times 9.8 \times 0.68\\\\P.E = 106.62 \ J\)

Thus, based on the principle of conservation of mechanical energy, the kinetic energy of the child at the bottom of the incline is 106.62 J since no energy is lost to friction.

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Answer:

Explanation: velocity = distance/time

velocity (v) = 11.1m/s

time =9 sec

distance =velocity x time

distance = 11.1 x 9 =99.9m

Answer:  Acceleration of the runner =1.23 m/s²

               The distance covered by the runner will be 99.9 m

Explanation: Given,

Velocity=11.1 m/s²

Time= 9 seconds

Acceleration=?

Acceleration  = Velocity/Time

Acceleration = 11.1 / 9

Acceleration = 1.23 m/s²

The distance covered by the runner= 11.1 m/s² × 9 seconds

The distance covered by the runner= 99.9 m

The equilibrium height to which the wire CD will rise is given by the expression h = μ₀I² / 2π λg

A region in which the force of magnetism acts is known as the magnetic field, and it surrounds magnetic materials or a moving electric charge. Moving magnetic dipoles and electric charges produce a magnetic field, which acts as a force field on other nearby magnetic dipoles and moving charges.

Magnetic field at a distance h produced by a current carrying wire

B = μ₀I/ 2πh

Magnetic force due to the present current carrying wire can be calculated by the formula

F = B I  L

And we also know that F = mg

On equating these mg = B I L

( μ₀I/ 2πh ) I = ( m/ I ) g = λg

thus we get the value of h as

h = μ₀I² / 2π λg

Thus, the equilibrium height to which the wire CD will rise is given by the expression h = μ₀I² / 2π λg .

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The surface charge density on the disks is, \(4.3910^{-5} C/m^2\). The surface charge density on the glass is, σ = \(-4.39\times 10^{-5} C/m^2\).

We can solve this problem using the capacitance equation for a parallel plate capacitor with a dielectric material between the plates:

C = εA/d

where C is the capacitance, ε is the permittivity of the dielectric material, A is the area of the plates, and d is the distance between the plates.

The potential difference V between the plates is related to the charge Q on the plates and the capacitance C by:

V = Q/C

The capacitance of the parallel plate capacitor is:

C = εA/d = \((4.78.85\times 10^{-12} \text{ F/m})\times \dfrac{\pi (0.025 m)^2}{0.00061 m}\)

\(= 4.22 \times 10^{-11} F\)

The charge on each plate is:

Q = CV

\(= (4.22\times 10^{-11} F)(1300 V)\\\\ = 5.48\times10^{-8} C\)

The surface charge density on each disk is:

\(\sigma = Q/A\\\\ = 2\dfrac{Q}{\pi r^2}\\\\ = \dfrac{2(5.4810^{-8} C)}{\pi (0.025 m)^2}\\\\ = 4.3910^{-5} C/m^2\)

The surface charge density on the Pyrex glass is equal and opposite to the surface charge density on the disks. This is because the total charge on the system must be conserved. Therefore, the surface charge density on the Pyrex glass is:

σ = \(-4.39\times 10^{-5} C/m^2\)

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Answer:

Explanation:

Call the bike on the right A

Call the bike on the left B

The car begins it's time when it passes A

4 minutes later, it passes B.

But B has moved in 4 minutes and that is the key to the problem.

How far has B moved.

t = 4 minutes = 4/60 hours = 1/15 of an hour.

d = ?

rate = 30 km / hr

d = r * t

d = 30 km/hr * 1/15 hours = 2 km

The distance between the bikes is 5 km.

So the car has traveled 5 - 2 = 3 km

d = 3 km

r = ?

t = 4 minutes = 1/15 hour

r = d/t = 3/(1/15)= 3 / 0.066666666  = 45 km/hr.

The solution to this equation depends on the specific values of m, c, and k. It can be solved analytically or numerically to determine the behavior of the oscillator over time.

The given question is incomplete and lacks the necessary information to provide a specific answer. It is unclear what information is provided about the damped harmonic oscillator. To answer the question accurately, I would need additional details, such as the equation of motion for the damped harmonic oscillator, the damping constant, and the initial conditions.

However, I can provide a general explanation of a damped harmonic oscillator. In a damped harmonic oscillator, the damping force is proportional to the velocity of the oscillator. This force opposes the motion of the oscillator, causing it to gradually lose energy and decrease in amplitude over time.

To analyze the behavior of a damped harmonic oscillator, we need to consider the equation of motion. Typically, the equation is expressed as:
\(m * d^2x/dt^2 + c * dx/dt + k * x = 0\)

where m is the mass of the oscillator, c is the damping constant, k is the spring constant, x is the displacement from the equilibrium position, and t is time.

The solution to this equation depends on the specific values of m, c, and k. It can be solved analytically or numerically to determine the behavior of the oscillator over time.

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Explanation:

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5 meters per second

11.1845 miles per hour

50/10=5

Answer:

80%

Explanation:

Answer:

Explanation:

The force acting on an object given it's mass and acceleration can be found by using the formula

force = mass × acceleration

From the question we have

force = 4.6 × 9.2

We have the final answer as

Hope this helps you

Answer:

40 meters

Explanation:

To solve this, we will use the motion formula \(v^{2} =u^{2} +2as\), where v is the final speed, u is the initial speed, a is the acceleration, and s is the distance. We know:

u= 20m/s

a= - 5m/s^2 (note the minus sign because we are decelerating)

v= 0m/s (our final speed will be 0 because we want to come to a stop)

Now plug in these values into the formula:

\(v^{2} =u^{2} +2as\)

\(0^{2} =20^{2} +2(-5)s\)

\(0 =400-10s\)

\(10s=400\)

\(s=40\\\)