Air flows at along a flat surface when it encounters a jet of air issuing from the horizontal wall at point as in Fig. The jet volume flow is per unit depth into the paper. If the jet is approximated as an inviscid line source, ( ) locate the stagnation point on the wall. ( ) How far vertically will the jet flow extend into the stream?

The correct answer is c. 6 hours. Water in wading pools should be completely recirculated every 6 hours to maintain safe and clean water conditions for children. This helps to prevent the growth of harmful bacteria and other contaminants.

Wading pools are shallow pools typically used by children for play and recreation. Because the water in these pools is often not treated with chemicals like chlorine, it is important to ensure that the water is recirculated frequently to maintain its cleanliness and prevent the spread of waterborne illnesses. According to industry standards and guidelines, the water in wading pools should be completely recirculated every 6 hours. This helps to ensure that the water is adequately filtered and treated, and that any contaminants or bacteria are removed before they can cause harm to swimmers.

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245-degree days are accumulated in a seven-day period when the average outside temperature is 30 oF.

To calculate degree days, we need to find the difference between the average outside temperature and the base temperature (usually 65 oF) for each day, and then add up those differences for the period in question.
In this case, let's assume the base temperature is 65 oF. So, for each day, we need to find the difference between 30 oF and 65 oF, which is 35 oF. Then, we add up those differences for the seven-day period:
35 + 35 + 35 + 35 + 35 + 35 + 35 = 245
Therefore, the answer is A) 245.

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245-degree days are accumulated in a seven-day period when the average outside temperature is 30 oF.

To calculate degree days, we first need to determine the base temperature, which is the temperature below which a building needs to be heated.

This value varies depending on the location and building type. For example, a common base temperature for residential buildings in the United States is 65°F.

The degree days for a given day is calculated by subtracting the base temperature from the average temperature for that day.

If the average temperature is below the base temperature, the degree days for that day are considered zero.

For the given problem, the average outside temperature is 30°F. Assuming a base temperature of 65°F, we can calculate the degree days for each of the seven days:

Day 1: 65 - 30 = 35 degree days

Day 2: 65 - 30 = 35 degree days

Day 3: 65 - 30 = 35 degree days

Day 4: 65 - 30 = 35 degree days

Day 5: 65 - 30 = 35 degree days

Day 6: 65 - 30 = 35 degree days

Day 7: 65 - 30 = 35 degree days

To find the total degree days for the seven-day period, we add the degree days for each day:

35 + 35 + 35 + 35 + 35 + 35 + 35 = 245 degree days

Therefore, the answer is A) 245.

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False. The voltage reaches its maximum value 1/4 of a period after the current reaches its maximum value is false.

Bogus. In an air conditioner circuit, the voltage and current are out of stage with one another because of the presence of receptive components like capacitors or inductors. How much time shift between the voltage and current waveforms relies upon the recurrence of the air conditioner signal and the upsides of the circuit components. While the voltage waveform might lead or slack the ongoing waveform, the time contrast between their greatest qualities isn't really 1/4 of a period. It relies upon the particular circuit and the stage point between the voltage and current waveforms. Subsequently, the explanation that the voltage arrives at its most extreme worth 1/4 of a period after the ongoing arrives at its greatest worth isn't by and large obvious.

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The mass of the ice that we would need is 29 g.

Specific heat capacity is the amount of heat energy required to raise the temperature of a substance by one degree Celsius (or one Kelvin) per unit mass of the substance. It is a measure of how much energy is needed to heat a certain amount of a substance. The units for specific heat capacity are usually joules per gram per degree Celsius (J/g°C) or joules per kilogram per degree Celsius (J/kg°C).

Given that;

H= mcdT

Heat lost by water = Heat gained by ice

-(1000 * 1 * (18 - 59)) = m * 79.7 * (18 - 0)

41000 = 1434.6 m

m = 41000 /1434.6

m = 29 g

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The technology that can allow a single ground-based telescope to achieve images as sharp as those from the Hubble Space Telescope is adaptive optics.

Adaptive optics use deformable mirrors to correct for atmospheric distortion, which causes the "twinkling" of stars and blurs images. This technology allows ground-based telescopes to achieve resolutions as good as those of space-based telescopes like Hubble. Other technologies that can also improve ground-based telescope resolution include grazing incidence and interferometry.

Adaptive optics is the technology that allows a single ground-based telescope to achieve images as sharp as those from the Hubble Space Telescope. This technology compensates for the distortion caused by Earth's atmosphere, resulting in clearer and sharper images.

An adaptive optics system's brain is a deformable mirror, which may change shape hundreds or thousands of times per second to instantly correct aberrations caused by atmospheric turbulence.

Since the primary mirrors of ground-based telescopes are frequently enormous and cannot be moved rapidly (even segmented mirrors are massive), the deformable mirror is a separate component placed after the light has already been reflected from the primary mirror.

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According to Ohm's law, the current induced in the frame is given by I = E/R. Thus, the current induced in the frame is: I = (-0.5Bo * L * w/To)/R = -0.5Bo * L * w/(R * To)

To determine the current induced in the frame, we need to use Faraday's law of electromagnetic induction. This law states that the magnitude of the induced electromotive force (EMF) in a closed loop is proportional to the rate of change of the magnetic flux through the loop. In other words, EMF = -dΦ/dt, where Φ is the magnetic flux through the loop.

In this case, the frame is a rectangular loop, so we can calculate the magnetic flux through it by multiplying the magnetic field by the area of the loop. Since the magnetic field varies at a constant rate from 4Bo to 6Bo in a time 8To, we can use the average magnetic field, (4Bo + 6Bo)/2 = 5Bo, to simplify our calculation. The area of the loop is Lw, where L is the length and w is the width.

Thus, the magnetic flux through the loop is given by Φ = Bavg * L * w = 5Bo * L * w.

Next, we need to calculate the rate of change of the magnetic flux, dΦ/dt. Since the magnetic field varies at a constant rate, we can use the formula for average rate of change, ΔΦ/Δt = (Φ2 - Φ1)/(t2 - t1), where Φ2 is the final magnetic flux (when the field is 6Bo), Φ1 is the initial magnetic flux (when the field is 4Bo), t2 is the final time (8To), and t1 is the initial time (0).

Plugging in the values, we get:

ΔΦ/Δt = (6Bo * L * w - 4Bo * L * w)/(8To - 0) = 0.5Bo * L * w/To

Finally, we can use Faraday's law to find the induced EMF, E = -dΦ/dt. However, we still need to account for the resistance of the frame. According to Ohm's law, the current induced in the frame is given by I = E/R.

Thus, the current induced in the frame is:

I = (-0.5Bo * L * w/To)/R = -0.5Bo * L * w/(R * To)

Note that the negative sign indicates that the induced current flows in the opposite direction to the changing magnetic field.

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A. If the collision is perfectly inelastic then it follows the equation,

            m1v1 + m2v2 = (m1 + m2)(v3)

Substituting,

          (1250 kg)(32 m/s) + (875 kg)(25 m/s) = (1250 kg + 875 kg)(v3)

The value of v3 from the equation is 29.12 m/s.

B. The kinetic energy is calculated through the equation,

             KE = 0.5mv²

Using this equation to solve for the total kinetic energies before and after the collision,

   Before collision:

        KE = 0.5(1250 kg)(32 m/s)² + (0.5)(875 kg)(25 m/s)²

            KE = 913437.5 J

   After collision:

          KE = (0.5)(1250 kg + 875 kg)(29.12 m/s)²

                KE = 900972.8 J

The difference is equal to 12464.7 J

After a landfill site is closed, it should be covered with at least 2 feet of compacted soil having a low permeability, graded to shed rainwater, melting snow, and surface water. So, the correct answer is c. 2 feet.

This cover is intended to minimize the infiltration of water into the landfill and prevent the release of contaminants into the surrounding environment. The compacted soil used as a cover is typically selected for its low permeability, which helps to reduce the amount of water that can penetrate through the cover and come into contact with the waste materials in the landfill. This helps to prevent leachate, which is the liquid that is generated from the decomposition of waste, from seeping out of the landfill and contaminating nearby soil and groundwater.

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The potential energy of the painting has increased by 2354.4 J.

The potential energy of an object depends on its position and mass. In this case, the painter has climbed 3.0 m up a ladder, which means the painter's potential energy has increased.

The potential energy gained by the painter can be calculated using the formula PE = mgh, where PE is potential energy, m is the mass of the painter, g is the acceleration due to gravity (9.81 m/s²), and h is the height climbed.

Therefore, the potential energy gained by the painter can be calculated as follows:
PE = mgh
PE = (80 kg)(9.81 m/s²)(3.0 m)
PE = 2354.4 J
The painter's potential energy has increased by 2354.4 J.

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The value of the capacitance is approximately 1.9 μF,is  A) 1.95 μF.

In an LRC series circuit, the phase angle (θ) is related to the inductive reactance (XL), resistive component (R), and capacitive reactance (XC) by the following formula:

tan(θ) = (XL - XC) / R

Given that the phase angle is 40.0°, inductive reactance is 200 Ω, and resistance is 200 Ω, we can calculate the capacitive reactance:

tan(40.0°) = (200 - XC) / 200
XC = 200 - (200 * tan(40.0°))
XC ≈ 83.9 Ω

Now, we can use the capacitive reactance formula to find the capacitance (C):

XC = 1 / (2πfC)

Where f is the frequency, which is 1000 Hz in this case. Rearranging the formula to solve for C:

C = 1 / (2πfXC)
C ≈ 1 / (2π * 1000 * 83.9)
C ≈ 1.9 × 10⁻⁶ F

Thus, the value of the capacitance is approximately 1.9 μF, Therefore the correct option is closest to option A) 1.95 μF.

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The electric field intensity 10 cm away from the wire is 22.5 kV/m. The total flux through a closed surface around the wire is 0.45 Nm²/C. The electric force acting on an electron 10 cm away from the wire is 2.97 x 10⁻¹⁷ N.

The electric field intensity at a distance r from an infinitely long wire with charge density λ is given by the formula E = λ/ (2πε₀r), where ε₀ is the electric constant (8.85 x 10⁻¹² Nm²/C²). Substituting the given values, we get

E = (5 x 10⁻⁶ C/m) / (2π x 8.85 x 10⁻¹² Nm²/C² x 0.1 m)

   = 22.5 kV/m.

The total flux through a closed surface around the wire is given by the formula Φ = q/ε₀, where q is the total charge enclosed by the surface. In this case, the charge enclosed by a cylindrical surface with radius 0.1 m and length 2 m is q = λ x length = (5 x 10⁻⁶ C/m) x 2 m = 1 x 10⁻⁵ C. Substituting this value and ε₀ into the formula, we get

Φ = (1 x 10⁻⁵C) / (8.85 x 10⁻¹² Nm²/C²)

   = 0.45 Nm²/C.

The electric force acting on an electron placed 10 cm away from the wire is given by the formula F = qE, where q is the charge of the electron (-1.6 x 10⁻¹⁹ C) and E is the electric field intensity at that point. Substituting the given values, we get F = (-1.6 x 10⁻¹⁹ C) x (22.5 x 10³ V/m) = 2.97 x 10⁻¹⁷ N. Since the electron has a negative charge, the force is attractive and directed towards the wire.

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The de Broglie wavelength of the emitted alpha particle is approximately 1.332 x[tex]10^{-14}[/tex] meters.

During alpha decay, a uranium-238 atom emits an alpha particle (4He nucleus) with a mass of 4.0015 amu. To calculate the de Broglie wavelength of the emitted particle traveling at 15,000 km/s, you can use the following equation:
λ = h / (m * v)
where λ is the de Broglie wavelength, h is the Planck constant (6.626 x [tex]10^{-34}[/tex]Js), m is the mass of the particle in kilograms, and v is the velocity in meters per second.
First, convert the mass from amu to kilograms: 1 amu = 1.66054 x [tex]10^{-27}[/tex] kg
m = 4.0015 amu * (1.66054 x[tex]10^{-27}[/tex] kg/amu) ≈ 6.644 x [tex]10^{-27}[/tex]kg
Next, convert the velocity from km/s to m/s: 1 km = 1,000 m
v = 15,000 km/s * (1,000 m/km) = 1.5 x [tex]10^{7}[/tex]  m/s
Now, you can calculate the de Broglie wavelength:
λ = (6.626 x  [tex]10^{-34}[/tex] Js) / (6.644 x [tex]10^{-27}[/tex] kg * 1.5 x [tex]10^{7}[/tex] m/s)
λ ≈ 1.332 x [tex]10^{-14}[/tex] m

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Although protons repel each other because each one has a positive charge, protons are stable in a nucleus because of b. the strong force.

The stability of protons in a nucleus can be attributed to the strong force, which is one of the four fundamental forces of nature. The strong force is an attractive force that acts between nucleons (protons and neutrons) in a nucleus, counteracting the repulsive force between protons due to their positive charges. This force is extremely powerful and is responsible for binding protons and neutrons together to form the nucleus of an atom.

Neutrons do not have a net charge, but they do have a mass that is comparable to that of a proton. Therefore, the presence of neutrons in the nucleus can also contribute to the attractive forces that hold the nucleus together. The electrons, which have a counterbalancing negative charge, do not play a significant role in stabilizing protons in a nucleus. Electrons are located outside of the nucleus in electron shells and are involved in chemical bonding between atoms, but their presence does not affect the strong force that holds the nucleus together. Therefore, the correct answer is option b.

The Question was Incomplete, Find the full content below :

although protons repel each other because each one has a positive charge, protons are stable in a nucleus because of group of answer choices

a. the gravitational force.

b. the strong force.

c. the electrons, which have a counterbalancing negative charge.

d. neutrons getting between protons, separating the protons from each other.

e. the weak force.

f. the neutrons, which have a counterbalancing negative charge.

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The type of well that is considered least likely to become contaminated is a drilled well. This is because drilled wells are created by drilling a hole deep into the ground, typically hundreds of feet, and are lined with materials such as steel or PVC.

This lining helps to prevent contaminants from seeping into the well from the surrounding soil and groundwater. In contrast, bored and dug wells are often shallower and do not have the same level of protection from contamination. Driven wells, which are constructed by driving a pipe into the ground, can also be susceptible to contamination if the surrounding soil is not properly sealed. Overall, drilled wells are considered the safest option for providing clean and safe drinking water. However, it is still important to regularly test and maintain all types of wells to ensure that they remain free from contaminants.

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To solve this problem, we'll use the following terms: work-energy theorem, potential energy, kinetic energy, and conservation of energy. So, the speed of the 8.00-kg block after moving 2.00 m is 5.42 m/s.

First, let's find the total work done on the 8.00-kg block. In this frictionless system, the only force acting on the 8.00-kg block is tension in the rope, and it's equal to the gravitational force acting on the 6.00-kg block. So, work done = force x distance.

Work done = (6.00 kg * 9.81 m/s²) * 2.00 m = 117.72 J

Now, let's use the work-energy theorem to find the speed of the 8.00-kg block after moving 2.00 m. The work-energy theorem states that work done on an object is equal to the change in its kinetic energy. Since the system starts from rest, the initial kinetic energy is zero.

Final kinetic energy = work done = 117.72 J

To find the speed, use the formula for kinetic energy: KE = 0.5 * m * v², where m is the mass and v is the velocity of the 8.00-kg block.

117.72 J = 0.5 * 8.00 kg * v²

Solving for v, we get:

v² = (117.72 J) / (0.5 * 8.00 kg) = 29.43 m²/s²
v = √29.43 m²/s² = 5.42 m/s

So, the speed of the 8.00-kg block after moving 2.00 m is 5.42 m/s.

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Given that the bottom plate of the capacitor is being charged positively with current I, the radius of the plates is R, and the distance between the plates is small compared to the radius, we can find the magnetic field midway between the plates and at a distance of R 2 from the axis using Ampère's law.

Consider an Ampere s loop with a radius   R 2 The loop encloses the current I. Apply Amperes law I enclosed, where B is the magnetic field, dl is the differential length element of the loop, and μ₀ is the permeability of free space. Due to symmetry, B is constant along the loop, so the integral simplifies to B  2π  R 2 μ₀ I Solve for B  μ₀ I π  R The magnetic field midway between the plates and at a distance of R 2 from the axis is closest to μ₀  I  π  R.

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A. The image is 26 cm to the right of the lens and is inverted. B. The image is 22.5 cm to the right of the lens and is inverted. The image is 14 cm to the left of the lens and is upright. This can be determined by using the ray tracing method.

A lens is an optical device that refracts light in order to form an image, either on a surface or in a device such as a camera or microscope. It is made of a material such as glass or plastic that has a curved surface on one or both sides.

A) The image is 26 cm to the right of the lens and is inverted. This can be determined by using the ray tracing method. A ray of light from the object parallel to the optical axis passes through the focal point on the right side of the lens, and a ray of light from the object passing through the center of the lens will be focused at the focal point on the left side of the lens. The image is then located 26 cm to the right of the lens, which is the sum of the focal length (11 cm) and the object distance (15 cm). The image is inverted because the rays of light are converging.

B) The image is 22.5 cm to the right of the lens and is inverted. This can be determined by using the ray tracing method. A ray of light from the object parallel to the optical axis passes through the focal point on the left side of the lens, and a ray of light from the object passing through the center of the lens will be focused at the focal point on the right side of the lens. The image is then located 22.5 cm to the right of the lens, which is the difference between the object distance (31 cm) and the focal length (4.5 cm). The image is inverted because the rays of light are converging.

C) The image is 14 cm to the left of the lens and is upright. This can be determined by using the ray tracing method. A ray of light from the object parallel to the optical axis passes through the focal point on the left side of the lens, and a ray of light from the object passing through the center of the lens will be focused at the focal point on the left side of the lens. The image is then located 14 cm to the left of the lens, which is the difference between the object distance (28 cm) and the focal length (14 cm). The image is upright because the rays of light are diverging.

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Given that the volume of an object is doubled while its mass remains the same, we can analyze its effect on density using the formula:

Density = Mass / Volume

Since the mass remains constant and the volume doubles, the new density can be calculated as follows:

New Density = Mass / (2 * Volume)

Now, let's compare the new density with the original density:

New Density / Original Density = (Mass / (2 * Volume)) / (Mass / Volume)

After simplifying, we get:

New Density / Original Density = 1/2

So, the new density is half of the original density.

Therefore, the correct answer is: A) be half.

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If the volume of an object were doubled while its mass remained the same, its density would: A) be half. Density is calculated as mass divided by volume (density = mass/volume)

The density of an object is defined as its mass per unit volume. Therefore, if the volume of an object were doubled while its mass remained the same, its density would be reduced by half. This is because the mass remains constant while the volume is increased, so the same amount of mass is now spread out over a larger volume, resulting in a lower density. Therefore, the correct answer is A) be half. It is important to note that density is an intensive property, which means that it does not depend on the size or amount of the substance. This means that if we have two objects of the same material with different volumes, their densities will be the same as long as their masses are proportional to their volumes. Furthermore, the concept of density is widely used in science and engineering. It is used to describe the properties of materials, to determine the purity of substances, and to solve problems related to buoyancy and fluid mechanics. Understanding the relationship between mass, volume, and density is essential for many fields of study and practical applications.

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To improve the accuracy of global warming predictions, a combination of all of these options may be necessary. Better computer models can help simulate and predict climate patterns more accurately, while a deeper understanding of ocean dynamics and the carbon cycle can provide more precise data for these models to use.

Additionally, a better understanding of gas exchange can help researchers more accurately track the levels of greenhouse gases in the atmosphere, which can further improve predictions. Overall, it is important to continually work towards refining our understanding of climate patterns and the factors that contribute to global warming in order to make more accurate predictions for the future.

To improve the accuracy of global warming predictions, a combination of factors is needed, including: a) better computer models, b) more understanding of ocean dynamics, c) more knowledge of the carbon cycle, and d) a better understanding of gas exchange. These elements contribute to a comprehensive understanding of the warming process, enabling more accurate predictions for future climate changes.

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The direction of the disk's angular velocity depends on the direction of rotation and the position of the point on the disk. At any given point on the disk, the direction of the angular velocity is perpendicular to the plane of the disk and tangent to the circular path of that point. E) It varies from point to point on the disk.

To determine the direction of the disk's angular velocity, we can use the right-hand rule. The right-hand rule states that if you curl the fingers of your right hand in the direction of rotation, your thumb will point in the direction of the angular velocity vector.

1. Imagine the disk rotating in a specific direction (e.g., clockwise or counterclockwise).
2. Place your right hand over the disk with your fingers pointing in the direction of rotation.
3. Curl your fingers in the direction of rotation.
4. Observe the direction in which your thumb is pointing.

If the disk is rotating clockwise, your thumb will point into the paper (away from you), so the answer would be C) into the paper (away from you). If the disk is rotating counterclockwise, your thumb will point out of the paper (toward you), and the answer would be D) out of the paper (toward you). The direction of the disk's angular velocity does not vary from point to point on the disk, as it is determined by the overall direction of rotation.

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The amount of radiation damage in human exposure to ionizing radiation is measured in terms of sieverts (Sv). Option d is correct.

Sieverts are the internationally recognized units for measuring the health effects of ionizing radiation on the human body. The sievert takes into account the type of radiation, the dose of radiation, and the sensitivity of the affected tissue or organ.

The other options listed (grays, relative biological effectiveness, and rads) are also used to measure radiation, but they are more commonly used to describe the amount of radiation absorbed or the biological effectiveness of a specific type of radiation. The sievert is the preferred unit for radiation exposure measurement and is used to establish exposure limits and guidelines for radiation protection. Option d is correct.

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The disposal of used tires is indeed an issue due to their non-biodegradable nature and the large volume they occupy in landfills. However, shredded tires can provide various environmentally friendly and practical solutions.

Option A, using shredded tires as a source of heat for homes, is not the most common or efficient use of this material. Instead, options B, C, and D offer more feasible alternatives.
Option B, using shredded tires as fuel for industries, is a viable option. The high energy content of tires makes them suitable for use as a supplementary fuel in industries such as cement manufacturing, where they can replace traditional fossil fuels like coal.
Option C, using shredded tires as an asphalt additive to reduce pavement cracking, is another effective solution. The incorporation of shredded tires in asphalt mixtures enhances the durability and resistance of the pavement, minimizing the formation of cracks and prolonging its lifespan.
Option D, using shredded tires as supplemental fuel for incinerators, is a practical choice. In waste-to-energy incineration plants, the high calorific value of tires contributes to the generation of heat and electricity, reducing the demand for conventional energy sources.
In summary, while shredded tires may not be suitable as a direct source of heat for homes, they can serve as a valuable resource in industries, asphalt mixtures, and waste-to-energy incineration plants, addressing the disposal problem and providing sustainable alternatives to traditional materials and fuels.

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Answer:

1.78 m/s

Explanation:

We again have to use the inelastic collision formula, which is m1*v1 + m2*v2 = (m1+m2)*vf. The question gives us m1 = 80kg, v1 = 4 m/s, and m2 = 100kg. Plugging this into the equation gets us: 80 * 4 = (80 + 100) * vf. Solving for vf, we get: vf = 320/180 = 1.78 m/s.

Answer:

v = 1.78 m/s

Explanation:

Momentum of the fisherman before = mass of the fisherman x velocity of the fisherman

= 80 kg x 4 m/s

= 320 kg·m/s

Momentum of the boat before = mass of the boat x velocity of the boat

= 100 kg x 0 m/s

= 0 kg·m/s

Total momentum before = Momentum of the fisherman before + Momentum of the boat before

= 320 kg·m/s + 0 kg·m/s

= 320 kg·m/s

Total mass after = mass of the fisherman + mass of the boat

= 80 kg + 100 kg

= 180 kg

Total momentum before = Total momentum after

320 kg·m/s = 180 kg x v

v = 320 kg·m/s / 180 kg

v = 1.78 m/s

When a mass hangs from the ceiling by a string and the mass is doubled, the travel time for a wave pulse traveling from the mass to the ceiling and back does not decrease by any factor.

The travel time for a wave pulse traveling from the mass to the ceiling and back depends on the length of the string and the gravitational force acting on the mass. If the mass is doubled, the gravitational force acting on it will also double. This will cause the string to stretch and become slightly longer, resulting in a longer travel time for the wave pulse. Therefore, the travel time will not decrease by any factor, but will actually increase slightly due to the increased gravitational force and stretching of the string.

When a mass hangs from the ceiling by a string and the mass is doubled, the travel time for a wave pulse traveling from the mass to the ceiling and back does not decrease by any factor. This is because the wave speed on the string depends only on the tension in the string and its linear mass density, and not on the mass of the object hanging from it. Therefore, doubling the mass does not affect the travel time of the wave pulse.

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The 7.5 water treatment plant processed approximately 6,997,333 cubic feet of water during its one week of operation.

To determine the cubic feet of water processed by a 7.5 water treatment plant operating at its maximum capacity for one week, we need to use the following formula:

Cubic feet of water = flow rate (gallons per minute) × time (minutes) ÷ 7.48

First, we need to convert the capacity of the plant to gallons per minute. Since there are 60 minutes in an hour and 24 hours in a day, the plant operates for a total of:

7 days × 24 hours per day × 60 minutes per hour = 10,080 minutes

So, the flow rate of the plant is:

7.5 million gallons per day ÷ 24 hours per day ÷ 60 minutes per hour = 5,208.3 gallons per minute

Using the formula, we get:

Cubic feet of water = 5,208.3 gallons per minute × 10,080 minutes ÷ 7.48 = 6,997,333 cubic feet

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The correct option is c. slow sand filterThe type of filter that is recommended for use in small communities and rural places is the slow sand filter.

This is because slow sand filters are effective at removing contaminants from water sources that are not heavily polluted and they do not require electricity or expensive equipment to operate, making them a cost-effective solution for these areas.

The type of filter recommended for use in small communities and rural places is: Slow sand filters are suitable for small communities and rural areas because they require less maintenance, have lower operating costs, and do not require chemicals for operation.

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The displacement of the vehicle during the 9.0 s it takes to pass the car is 198.0 m or 1.98 x 10² m as requested.

We can use the kinematic equation for displacement with constant acceleration:

Δx = v_iΔt + 1/2aΔt^2

where Δx is the displacement, v_i is the initial velocity, a is the acceleration, and Δt is the time interval.

In this problem, v_i = 63 km/h = 17.5 m/s [E] (since the vehicle is traveling due east), a = 1.0 m/s^2 [E], and Δt = 9.0 s.

Plugging these values into the equation, we get:

Δx = (17.5 m/s) (9.0 s) + 1/2 (1.0 m/s^2) (9.0 s)^2

Δx = 157.5 m + 40.5 m

Δx = 198.0 m

Therefore, the displacement of the vehicle during the 9.0 s it takes to pass the car is 198.0 m.

Expressing this answer in the requested format (a.b x 10c), we have:

1.98 x 10² m

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True. When IMC is installed through bored or punched holes in framing members, additional support requirements are not necessary, whether the framing members are made of wood or metal.

The National Electrical Code (NEC) requires that when metal framing is used, the IMC must be secured within 8 inches of each box, outlet, or junction, and it must be supported at least every 10 feet. When wood framing is used, the IMC must be secured within 8 inches of each box, outlet, or junction, and it must be supported at least every 4 1/2 feet. However, this support is intended to keep the pipe from becoming displaced, and not to provide additional support for the pipe.

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the light reflected from the water's surface will be completely polarized at an angle of reflection of approximately 53.1°.

The angle of reflection at which light will be completely polarized depends on the angle of incidence and the index of refraction of the medium the light is reflecting from. In this case, the scuba diver is observing light reflecting from the surface of water, which has an index of refraction of 1.333.
For light reflecting from a surface at a certain angle of incidence, the angle of reflection at which the light is completely polarized can be calculated using the Brewster's angle equation:
tan θp = n2/n1
where θp is the Brewster's angle (the angle of reflection at which the light is completely polarized), n1 is the index of refraction of the incident medium (air in this case), and n2 is the index of refraction of the reflecting medium (water in this case).
Plugging in the values, we get:
tan θp = 1.333/1
θp = tan^-1 (1.333)
θp ≈ 53.1°
Therefore, the light reflected from the water's surface will be completely polarized at an angle of reflection of approximately 53.1°.

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