How would you choose a Gaussian surface for a particular charge distribution?

The terminal speed of the falling rubber sphere is approximately 2.43 m/s.

Terminal speed is the constant velocity that a falling object eventually reaches when the resistance of the medium through which it is falling (such as air or water) prevents further acceleration.

[tex]v = \sqrt{\dfrac{2 \times m \times g}{\rho \times A \times C_d}}[/tex]

where ρ is the density of air, v is the velocity of the sphere, A is the cross-sectional area of the sphere, and [tex]C_d[/tex] is the drag coefficient.

The mass of the sphere can be calculated from its density and volume:

[tex]m = \dfrac{4}{3} \times \pi \times r^3 \times\rho[/tex]

where r is the radius of the sphere.

Mass = [tex]m = \dfrac{4}{3} \times \pi \times (0.08 m)^3 \times 1.08 \times \dfrac{1 kg}{1000 g}[/tex]

Mass =  = 0.144 kg

Area is,

[tex]A = \pi \times r^2\\ = \pi \times (0.08)^2 \\= 0.0201 m^2[/tex]

The terminal velocity is,

[tex]v = \sqrt{\dfrac{2 \times 0.144 \times 9.81}{1.20\times 0.0201 \times 0.500}}[/tex]

= 2.43 m/s

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A mirror receives a light beam at a 45 degree angle. The light beam takes the form of a straight line. As a result, choice (C) is accurate.

When a beam of light strikes a mirror at an angle, the reflected beam follows the law of reflection, which states that the angle of reflection is equal to the angle of incidence, and both angles are measured with respect to the normal (a line perpendicular to the surface of the mirror) at the point of incidence.

In this case, since the beam of light strikes the mirror at an angle of 45 degrees, the angle of reflection is also 45 degrees, as shown in the diagram below:-

       /|

     /  |

   /    |

 /      |

/________|  <--- Mirror surface

|       /

|     /

|   /

| /

As a result of the law of reflection, the reflected beam of light will form a symmetrical angle with the incident beam, as shown in the diagram below:-

     /|

   /  |

 /    |

/      |

|     /

|   /

| /

|/

This reflected beam will continue to travel in a straight line away from the mirror, and will not change shape. Therefore, the correct answer is option C: "A straight line".

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Answer:

Explanation:

Q=278*126.85*900=31,737,870J

The temperature at which the wing is 3 cm shorter than its initial length is 19°C - 54°C = -35°C.

A normal temperature is between 36 and 37 degrees Celsius, though this varies depending on your age, what you've been doing, the time of day, and the method used to take the reading. Colds, the flu, and COVID-19 are examples of viral respiratory illnesses that can raise a person's temperature.

The thermal expansion coefficient of aluminum is approximately 22.2 × 10⁻⁶ per degree Celsius (or 22.2 × 10⁻⁶/°C).

The change in length of the wing, ΔL, is given by:

ΔL = α L ΔT

We know that the original length of the wing is 25 m, and the change in length is 3 cm, which is 0.03 m.

So, we have:

0.03 m = (22.2 × 10⁻⁶/°C) × (25 m) × ΔT

Solving for ΔT, we get:

ΔT = 0.03 m / ((22.2 × 10⁻⁶/°C) × (25 m))

ΔT ≈ 54°C

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The average speed of the particle during one oscillation is 2 times the product of the amplitude and frequency of the simple harmonic motion.

The average speed of a particle undergoing simple harmonic motion in one oscillation can be found by using the formula for the average speed, which is the total distance traveled divided by the total time taken. In one complete oscillation, the particle starts from the equilibrium position, moves to the maximum displacement in one direction, returns to the equilibrium position, and then moves to the maximum displacement in the other direction before returning to the equilibrium position again. This completes one oscillation.

The total distance traveled by the particle in one complete oscillation is twice the amplitude of the motion, which is given in the problem. Therefore, the total distance traveled is 2A, where A is the amplitude of the simple harmonic motion.

The total time taken for one complete oscillation is the period of the motion, which is the time taken for the particle to complete one oscillation. The period is given by the formula T = 1/f, where f is the frequency of the motion.

Therefore, the average speed of the particle during one oscillation is:

average speed = (total distance traveled) / (total time taken)

= (2A) / (T)

= (2A) / (1/f)

= 2Af

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Answer:

The greater the MASS of a moving object, the GREATER KINETIC ENERGY it has.

Explanation:

Anytime matter is in motion it has kinetic energy. The faster an object moves, the more kinetic energy it has. The more mass an object has, the more kinetic energy it has.

Move perfect mirror to the right by 86.2 nm to produce minimum power at detector and minimum power is 0.225 mW.

To create an interferometer using a 50-50 beam splitter and two mirrors, we can split a laser beam into two paths using the beam splitter, bounce one path off a perfect mirror, and the other off a mirror that does not reflect all light.

In this setup, interference between the two paths of the laser light can produce a pattern of constructive and destructive interference, which can be detected at a detector.

If the detected power is initially at its maximum, we can move the perfect mirror to the right to produce a minimum power at the detector. This is because moving the mirror changes the path length difference between the two paths of the laser light, and this can change the interference pattern.

To determine how much we need to move the perfect mirror, we can use the fact that the detected power is maximum when the two paths of the laser light are in phase, and minimum when they are out of phase. When only the vertical arm is blocked, the power measured at the detector is 2.25 mw, and when only the horizontal arm is blocked, the power measured at the detector is 2.025 mw.

The power detected at the detector is given by:

P = [tex](1/2) * P_in * (1 +- cos(Δφ))[/tex]

where[tex]P_in[/tex] is the incident power, Δφ is the phase difference between the two paths of the laser light, and the ± sign depends on which path is blocked.

When the power is maximum, the phase difference is an integer multiple of 2π, i.e., Δφ = [tex]2\pi n[/tex]. When the power is minimum, the phase difference is an odd multiple of π, i.e., Δφ = [tex](2n+1)\pi /2.[/tex]

We can solve for the phase difference in terms of the incident power and the measured powers:

Δφ = [tex]arccos[(4P_min/P_in) - 1][/tex]

where [tex]P_min[/tex] is the minimum power detected at the detector, which is 2.025 mw.

Plugging in the values, we get:

Δφ = [tex]arccos[(4*2.025/9) - 1] = 2.18 radians[/tex]

To produce a minimum power at the detector, we need to change the phase difference to [tex](2n+1)\pi /2[/tex]. This means we need to move the perfect mirror by a distance Δx such that:

Δφ = [tex](2n+1)\pi /2 = 1.57, 4.71, 7.85, ...[/tex]

We can use the wavelength of the laser to determine the distance Δx:

Δx = Δφ * λ / [tex]2\pi[/tex]

lambda: wavelength of laser = 300 nm

Put values:

Δx = 86.2 nm

So we need to move the perfect mirror to the right by 86.2 nm to produce a minimum power at the detector, and the minimum power at the detector is 0.225 mW.

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For these paces, one hour is equivalent to 3.27 miles or 5.26 kilometers for women and 3.8 miles or 6.1 kilometers for males in terms of distance.

The ratio of the total distance travelled by the body to the amount of time it took to complete that distance can be used to calculate average speed.

Formula for the average speed of a moving object with a range of speeds. The minute the minutes cancel, giving us kilometres per hour, and the speed would be 6 kilometres per hour; it then asks us to compare.

A student's average speed while walking would be 9 km/h if they covered a distance of 3 km in 20 minutes.

Therefore, to convert it to kilometres per hour, we can do so by simply converting our minutes into hours and remembering that there are 60 minutes in an hour.

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In thermodynamic equilibrium, the different forms of energy in a system, including vibrational energy, must be in balance. Therefore, if nitrogen is in thermodynamic equilibrium, its vibrational energy will be in balance with its other forms of energy.

The vibrational temperature of a gas is related to the average vibrational energy of its molecules. In the case of nitrogen, which is a diatomic gas, its molecules have multiple modes of vibration, including stretching and bending vibrations. The vibrational temperature of nitrogen can be calculated from the Boltzmann distribution, which relates the temperature of the gas to the relative populations of its energy states.

The vibrational temperature of nitrogen at room temperature is around 335 K. This is significantly higher than its translational temperature, which is around 300 K. The reason for this is that the vibrational energy of nitrogen molecules is not the same as their translational energy. While translational energy is associated with the motion of the molecule as a whole, vibrational energy is associated with the internal motion of the atoms within the molecule.

The vibrational temperature of a gas is not necessarily the same as its translational temperature, because the two forms of energy are not directly related. In a gas that is not in thermal equilibrium, the vibrational and translational temperatures can be different. However, in a gas that is in thermodynamic equilibrium, the different forms of energy will be in balance, and the vibrational temperature will be related to the translational temperature through the equipartition theorem.

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Answer:

Weight on Mars =  55.5 Newtons

Approximately 37.72% of weight on earth

Explanation:

Mass of an object is unchanged throughout the universe

Therefore mass on Mars = mass on Earth = 15kg

Weight = mass x freefall acceleration

Weight on Earth = 15 kg x 9.81 m/s² = 147.15 Newtons (N)
Weight on Mars = 15 x 3.7 m/s² = 55.5 N

Therefore weight on Mars/ weight on earth = 55.5 N/147.15N

≈ 0.3772

= 37.72 % of weight on earth

Charge is a fundamental physical property of matter that describes the degree to which it interacts with electromagnetic fields. It is an intrinsic property of subatomic particles, such as protons and electrons, that gives rise to electric and magnetic forces.

The basic unit of charge is the Coulomb (C), named after the French physicist Charles-Augustin de Coulomb, who first quantified the electric force between charged objects. A single proton or electron has a charge of approximately 1.6 x 10⁻¹⁹ Coulombs.

Rubbing the acetate strip with tissue paper transfers electrons from the tissue paper to the strip, giving the strip a negative charge.

When the negatively charged acetate strip is brought near a slow stream of running water, the water is attracted to the strip and bends towards it. This is because the water is polar, meaning it has a positive end and a negative end, and the negative end is attracted to the negatively charged acetate strip.

Predicted: When a charged vinyl strip is brought near the slow stream of water, the water should be attracted to the strip and bend towards it. This is because the vinyl strip is typically charged positively when rubbed with woolen cloth, so it will attract the negative end of the polar water molecules.

Rubbing the vinyl strip with a woolen cloth transfers electrons from the woolen cloth to the strip, giving it a positive charge. When the positively charged vinyl strip is brought near the slow stream of water, the water is indeed attracted to the strip and bends towards it, just as predicted.

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The first image shows a speed - time relation in which the speed is zero and the the object is not moving. The second graph shows a constant velocity and the third one shows an increasing velocity with time.

A speed - time graph represents the change in speed of an object with respect to the time. The speed can be increasing with time or decreasing. Speed of an object is dependent on the path through which it is moving and the mass, frictional force etc.

Here, the first image shows no no values for the y - axis and and thus, the image is not moving. The second graph shows a parallel line which is showing there is no change in speed with the time. This indicates that the object is moving with a constant speed.

The graph C plots an increasing speed with respect to time. The straight line diagonal to the x, y axis indicates the increasing speed.

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Answer:

To calculate the direction of the vector v⃗ = (x, y) , use the formula θ = arctan(y/x) , where θ is the smallest angle the vector forms with the horizontal axis, and x and y are the components of the resultant vector.

Senior citizens should perform balance exercises because it reduces the chances of falls, hence option B is correct.

The ability to maintain balance, however, deteriorates with age, and poor balance is a key contributor to falls in older persons.

A fall can cause serious injuries, including fractures, which can lead to chronic pain, reduced quality of life, disability, or even death.

Seniors' mobility will significantly improve if their exercise regimen is increased.

Therefore, being solid and steady can improve your general confidence, ease various health concerns, and lessen your danger of falling.

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at the velocity of 60 degree angle above the horizontal should the ball be thrown so that the runner will catch it just before it hits the ground

For the person to be able to catch the ball, the horizontal component of velocity of the ball should be same as the speed of the person, i.e.,

v 0 cosθ= 2v 0

​  or cosθ= 21

​  or θ=60 ∘ .

Velocity is the directional speed of an object in motion as an indication of its rate of change in position as observed from a particular frame of reference and as measured by a particular standard of time.

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Jacob reports that as he varies the charge on the left particle, he observes that the force between the two particles changes.

Specifically, when the charge on the left particle is positive, the force between the two particles is attractive, and when the charge on the left particle is negative, the force between the two particles is repulsive. This is because opposite charges attract and like charges repel. As the magnitude of the charge on the left particle increases, the force between the two particles increases as well. The force of attraction is strongest when the charges on both particles are the same, and the force of repulsion is strongest when the charges on the particles are opposite.

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The kinetic energy of the box after it has slid through the rough spot is 12.5 J.

The initial kinetic energy of the box is 12 J.

When the box encounters the rough spot on the floor, a frictional force of 2 N acts on it in the opposite direction to its motion. The work done by this frictional force is:

work done by friction = force x distance x cos(theta)

where "theta" is the angle between the force and the displacement, which is 180 degrees in this case (since the force is opposite to the direction of motion). Therefore, cos(theta) = -1.

Plugging in the values, we get:

work done by friction = 2 N x 0.25 m x (-1) = -0.5 J

Since the work done by the frictional force is negative, it reduces the kinetic energy of the box. Therefore, the final kinetic energy of the box is:

final kinetic energy = initial kinetic energy - work done by friction

final kinetic energy = 12 J - (-0.5 J) = 12.5 J

Therefore, the kinetic energy of the box after it has slid through the rough spot is 12.5 J.

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The volumetric average fluid velocity (m/s) through the valve of ball valve having energy loss as 240 j/kg is 15.5 m/s.

When energy is converted from one form to another, or moved from one place to another, or from one system to another there's energy loss. This means that when energy is converted to a different form, some of the input energy is turned into a largely disordered form of energy, like heat.

Flow rate is the volume of fluid per unit time flowing past a point through the area A. Then the shadowed cylinder of fluid flows once point P in a invariant pipe in time t. The volume of the cylinder is announcement and the average haste is v =d / t so that the inflow rate is Q = announcement/ t = Av.

Energy loss is given as 240 J/kg

So to find the volumetric average velocity we have,

Energy loss = 1/2 V² J/kg

240 = 1/2 V² J/kg

V = [tex]\sqrt{240}[/tex]

V = 15.49 ≈ 15.5 m/s

Therefore,  the volumetric average fluid velocity  is V = 15.49 ≈ 15.5 m/s.

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A motorcycle traveling at 87.3 mi/hr for 0.85 hours, the acceleration of the motorcycle is 38.47 miles per hour squared (mi/[tex]hr^2[/tex]) if the final- velocity of a motorcycle is 120 mi/hr.

The acceleration of the motorcycle= (final velocity - initial velocity) / time

(initial velocity=at the beginning of the time interval, final velocity= velocity at the end of the time interval, time= the duration of the interval)

Here, initial velocity =87.3 mi/hr, the final velocity = 120 mi/hr, and the time interval = 0.85 hours.

acceleration = (120 mi/hr - 87.3 mi/hr) / 0.85 hours

acceleration = 32.7 mi/hr / 0.85 hours

acceleration = 38.47 mi/[tex]hr^2[/tex]

Hence, the acceleration of the motorcycle is 38.47 miles per hour squared  (mi/[tex]hr^2[/tex]) if the final velocity is 120 mi/hr.

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a) When an identical resistor is added in series with the first resistor and the cell, the current through the resistors will remain the same as A amps.

When an identical resistor is added in series with the first resistor and the cell, the current through the resistors will remain the same as A amps.

This is because in a series circuit, the same current flows through each component. The total resistance of the circuit increases when a resistor is added in series, but the voltage across the resistors remains the same as the voltage across the cell.

According to Ohm's law, V = IR, where V is voltage, I is current, and R is resistance.

Since the voltage is constant and the resistance has increased, the current through the resistors must remain the same to satisfy Ohm's law. Therefore, the current through the second resistor will also be A amps.

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The force that represents the tension force on the box is A because it is in the direction of the attached rope.

Tension is defined as the force transmitted through a rope, string or wire when pulled by forces acting from opposite sides.

Tension force is described as the pulling force transmitted axially by the means of a string, a rope, chain, or similar object, or by each end of a rod, truss member, or similar three-dimensional object.

For the given diagram, the tension force is the force pulling the box upwards preventing downward motion of the box.

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If speed of particle triples, the kinetic energy will be times six (6).

Kinetic energy is the energy possessed by an object because of its motion, equal (nonrelativistically) to one half the mass of the body times the square of its speed.

The kinetic energy of a moving object is directly proportional to its mass and directly proportional to the square of its velocity.

This means that an object with twice the mass and equal speed will have twice the kinetic energy while an object with equal mass and twice the speed will have quadruple the kinetic energy.

Therefore, an object with triple speed will have times six kinetic energy.

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Answer:

Resonance is a phenomenon that occurs when the frequency at which an external force is applied to an object is equal to the natural frequency of vibration of that object.

In physics, resonance is a common occurrence in mechanical, electrical, and acoustical systems.

To find the time it will take to travel a certain distance at a certain speed, you can use the formula:

time = distance/speed

In this case, the distance is 90km and the speed is 30km/m.

So, time = 90km / 30km/m = 3m

Answer:

It will take 3 hours to get to the island 90km from the coast in a boat that travels 30km/m.

Answer:

The value of Time Will be

[tex]9minutes[/tex]

Explanation:

Greetings!!!

Distance (s)= 90km

Speed(V)= 30km/m

Time(t)= ?

But before that how did I know Time is required

So, from the given word problem it says "How long will it take" which means it's indicating the time period.

Firstly, recall speed-distance equation

Substitute known variables into the equation

Solve for time

divide both sides of the equation by 30km/m

[tex] \frac{30km/m(t)}{30km/m} = \frac{90km}{30km/m} [/tex]

divide

[tex]t = 3m[/tex]

If you have any questions tag me on comments.

Hope it helps!!!

The way that an electromagnetic-wave in space never dials back is predictable with the law of preservation of energy, as it keeps a steady energy as it goes through space.

The explanation that makes sense of how the way that an electromagnetic wave in space never dials back is steady with the law of protection of energy is: "Assuming light dialed back, its energy would diminish, subsequently abusing the law of preservation of energy."

The speed of light, or any electromagnetic, still up in the air by the properties of the medium through which it is voyaging. In a vacuum, the speed of light is consistent and doesn't dial back.

This is reliable with the law of preservation of energy, which expresses that energy can't be made or annihilated, just changed starting with one structure then onto the next.

If an electromagnetic wave were to slow down, its energy would have to go somewhere. It would either be converted to another form of energy or lost entirely. This would violate the law of conservation of energy.

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If the plates of a capacitor are pulled apart using insulating handles while the capacitor remains connected to the battery, the distance between the plates will increase. This will result in a decrease in the capacitance of the capacitor.

The capacitance of a capacitor is directly proportional to the area of the plates and inversely proportional to the distance between the plates. When the plates are pulled apart, the distance between them increases, so the capacitance decreases.

However, the energy stored in the capacitor is given by the formula: E = (1/2)CV^2, where C is the capacitance of the capacitor and V is the voltage across the capacitor. Since the battery is still connected, the voltage across the capacitor remains constant. Therefore, the energy stored in the capacitor will decrease as the capacitance decreases.

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The electrostatic force exerted on the electron will be in the direction of the electric field, which is from the positive plate to the negative plate. Since the electron is negatively charged, it will be attracted to the positively charged plate, so the force on the electron will be in the direction from the negative plate to the positive plate.

The electrostatic force, also known as the Coulomb force, is the force that exists between electrically charged particles. It is a fundamental force of nature that governs the behavior of charged particles, such as electrons and protons.

The electrostatic force is responsible for many natural phenomena, such as the attraction and repulsion of magnets, the electric shock felt after rubbing a balloon on hair, and the behavior of lightning. It is also used in a wide range of technologies.

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The actual temperature distribution will depend on the specific geometry and material properties of the axisymmetric shape

Based on the given assumptions of steady-state, one-dimensional heat conduction, constant properties, and no internal heat generation, we can expect the temperature distribution to have the following characteristics:

The temperature will vary only in the radial direction, perpendicular to the axisymmetric shape.

The temperature gradient in the radial direction will be constant, assuming that the thermal conductivity of the material is also constant

The temperature distribution will be symmetric about the axis of the shape.

The temperature at the center of the shape will be higher than the temperature at the outer surface.

Based on these characteristics, we can sketch the temperature distribution as follows:

             -------------

            /             \

          /                 \

        /                     \

       |                       |

       |           T1          |

       |                       |

        \                     /

          \                 /

            \             /

              -------------

                 R1

In this sketch, T1 is the temperature at the center of the shape, which is the highest temperature. R1 is the outer radius of the shape, and the temperature at the outer surface is assumed to be the lowest temperature. The temperature decreases linearly with increasing radial distance, and the temperature gradient is constant throughout the shape.

This sketch provides a general idea of what the temperature distribution might look like under the given assumptions.

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