The figure shows a 100-turn coil of wire of radius 19 cm in a 0. 15 t magnetic field. The coil is rotated 90o in 0. 30 s, ending up parallel to the field. What is the average emf induced in the coil as it rotates?.

The final speed of the electron, denoted as \($v_{\text{final}}$\), when it is 10.0 cm away from charge 1 can be calculated using the principles of electrostatics.

The initial position of the electron is at the midpoint between the two charges. We know that the charges are positive and stationary. Therefore, the electric field produced by charge 1 points towards charge 2. As the electron is negatively charged, it will experience a force in the opposite direction, i.e., towards charge 1. This force will cause the electron to accelerate.

To calculate \($v_{\text{final}}$\), we can use the conservation of energy. Initially, the electron is at rest, so its initial kinetic energy is zero. The final kinetic energy is given by \(\frac{1}{2mv^2_{final}}\), where m is the mass of the electron. The change in potential energy is given by \($q\Delta V$\), where q is the charge of the electron and \($\Delta V$\) is the change in electric potential.

The change in potential energy can be calculated by considering the electric potential at the midpoint and at a point 10.0 cm from charge 1. The electric potential at a point due to a point charge is given by \($V = \frac{kq}{r}$\), where k is the electrostatic constant, q is the charge, and r is the distance from the charge. By considering the signs and magnitudes of the charges, we can determine the change in potential energy.

By equating the initial kinetic energy to the change in potential energy, we can solve for \($v_{\text{final}}$\). The mass of an electron is known, and the values for the charges and distances are provided in the problem. Converting the given values to SI units (coulombs and meters), we can perform the necessary calculations to find the final speed of the electron.

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Answer:

Explanation:

An atom losses or gains electrons to fill the outermost shell. In this process , ionic bonds are formed. Chemical bonds are formed when electrons are shared.

(a) The normalization constant A is given by A = 1/√a.

(b) The energy of the partice in the state is  ħ(k²/2m)

(c) The expectation value x for a particle is 0.

(d) The particle is not in a state of definite energy, since the wave function is a superposition of different energy states.

(a) Normalization of the wave function requires that the integral of the modulus squared of the wave function over all space is equal to one. In this case, we have:

∫0ᵃ |Ψ|² dx = |A|² ∫0ᵃ dx = |A|² a = 1

(b) The energy of a particle in this state is given by the energy operator acting on the wave function:

E = ħω = ħ(k²/2m)

where ħ is the reduced Planck constant and m is the mass of the particle.

(c) The expectation value of x is given by:

<x> = ∫0ᵃ Ψˣ Ψ dx / ∫0ᵃ |Ψ|² dx = 0

since the wave function is symmetric around the center of the region.

(d)The energy of the particle is quantized, since it depends on the wave vector k, which is quantized due to the boundary conditions imposed by the region of space.

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Answer:

The swimmer must swim at 1.12 m/s at 26.565 ° upstream from the opposing bank, according to the parallelogram rule of vectors.

What is parallelogram law of vector addition?

If two vectors act along two consecutive sides of a parallelogram (with magnitude equal to the length of the sides) both heading away from the common vertex, then the resultant is represented by the parallelogram's diagonal passing through the same common vertex.

Explanation:

Let, the current's speed be x = 0.5 m/s, the swimmer's speed be y m/s and the angle between them be a°. The resulting speed at b° angle with x will be r = 1.0 m/s. Assuming b is 90°.

Then, the parallelogram law of vectors states that

Sin b = y Sin a/r

=> y Sin a = r

=> y Sin a = 1

And Cos b = (x + y Cos a)/r

=> y Cos a = -x = -0.5

Therefore, tan a = 1/ (-0.2)

=> tan a = -2

As a result, a = 116.565°

Consequently, y = 1/Sin a

=> y = 1/ Sin116.565°

=> y = 1.118 ≈ 1.12 m/s

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When plug fuses are used on all new installations such as in a disconnect switch for a clothes dryer, the fuses must be type S.

Type S fuses are also called tamper proof fuses because each fuse size has a different base and thread size.

These fuses also require the use of a special adapter which is screwed into the standard Edison base of the fuse holder.

Thus, when plug fuses are used on all new installations such as in a disconnect switch for a clothes dryer, the fuses must be type S.

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Kinetic energy and velocity are at zero when the magnets are held apart, and both increase rapidly when they are released and move together. Energy stored in the magnetic field decreases.

Graph for the two magnets held apart, kinetic energy is highest when the magnets first released, then it decreases steadily. Energy stored in the magnetic field becomes zero.

The magnetic field is the field in the space and around the magnet in which the magnetic field can be filled.

Magnetic force is the force of attraction or repulsion between two poles of the two magnets. The magnetic force is also appearing between two electrically charged bodies.

Two magnets held apart. Once released, the south pole of one magnet moves toward the north pole of another magnet until the magnets collide.

The graph reflection of kinetic energy of magnet -

Therefore, graph for the two magnets held apart, kinetic energy is highest when the magnets first released, then it decreases steadily. Energy stored in the magnetic field becomes zero.

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The correct statement about the ball 1 is the magnitude of buoyancy force is equal to that of ball's weight.

The upward force exerted on an object that is wholly or partially immersed in a fluid is called upthrust.

Ball 1 is floating on water.

Weight of the ball 1 is Fg = m₁g is acting vertically downward.

Force of buoyancy Fb = ρvg is acting vertically upwards

Net force acting on the ball is zero, Fg = Fb

As the ball 1 floats without sinking, it is in equilibrium.

This means that the net downward force is balanced by the net upward force.

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The composite figure is a combination of a rectangular pyramid and a rectangular prism, hence its volume is 140in³.

A rectangular prism is simply a three dimensional solid shape with six faces that are rectangles.

Volume of a rectangular prism is expressed as;

V = w × h × l

Where l is length, h is height and w is width

A rectangular pyramid is simply a three-dimentional object with a rectangular shaped base and triangular shaped faces that correspond to each side of the base.

The volume of rectangular pyramid is expressed as;

V = (1/3) × l × w × h

Where l is the base length, w is the base width and h is the height of the pyramid.

From the diagram below;

First we calculate the volume of a rectangular prism.

V = w × h × l

V = 3in × 4in × 7in

V = 84in³

Hence, the volume of the rectangular prism is 84in³.

Next, we calculate the volume of rectangular pyramid.

V = (1/3) × l × w × h

V = (1/3) × 7in × 3in × 8in

V = (1/3) × 168in³

V = 56in³

Hence, the volume of the rectangular pyramid is 56in³.

Volume of the composite figure = Volume of prism + Volume of pyramid

Volume of the composite figure = 84in³ + 56in³

Volume of the composite figure = 140in³

Therefore, the composite figure is a combination of a rectangular pyramid and rectangular prism, hence its volume is 140in³.

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The deflection of end C of the 100 mm diameter solid circular shaft is 10.1mm(↓).

A material's stiffness can be determined by looking at its elastic modulus. In other words, it serves as a gauge for how easily a material can stretch or bend.

∑\(\mu_{A}\) = 0

⇒ (10×3) = \(B_{y}\) × 2

\(B_{y}\) = 15KN

∑\(F_{y}\) = 0

- \(A_{y}\) - 10 + \(B_{y}\) = 0

- \(A_{y}\) - 10 + 15 = 0

\(A_{y}\) = 5KN.

From the above FBD's

∑\(\mu_{0}\) = 0 ⇒ µ (x₁) + 5(x₁) = 0

µ (x₁) = -5(x₁)

µ (x₂)

∑\(\mu_{0}\) = 0 ⇒ -µ (x₂) - 10(x₂) = 0

⇒ µ (x₂) =  - 10(x₂)

From the elastic curve

EI d²y/dx² = µ(x)

For coordinates x₁

EI d²y/dx² = -5x₁

EI d²y/dx² = - 5/2x₁² + C₁ (1)

EIy = -5/6x₁³ + C₁x₁ + C₂ (2)

For coordinates x₂

EI d²y/dx² = -10x₂

EI d²y/dx² = -10x₂²/2 + C₃ (3)

EIy₂ = -10x₂²/6 + C₃x₂ + C₄ (4)

From bound xy conditions

At x₁ = 0 y₁ = 0 in equation (2)

C₂ = 0

At x₁ = 2m, y₁ = 0 in equation (2)

EI(0) = -5/6(2)³ + C₁(2) + 0

C₁ = 3.333KN-m₂

At x₂ = 1m, y₂ = 0

from equation (4)

EI(0) = -10/6 + C₃×1 +C₄

C₃ +C₄ = 1.67 (5)

At x₁ = 2m, x₂ = 1

dy₁/dx₁ = -dy₂/dx₂

-5/2(2)² + 3.33 = -[-10x₁²/2 + C₃]

-6.67 = 5-C₃

C₃ = 11.67

From equation (5)

11.67-1.67 = -C₄

C₄ = -10KN-m
y₂ = 1/EI (-10X₂³/6 + 11.67X₂ + (-10)

y₂ = y₂/x₂ = 0

y₂ = -10KN-m₃/EI

y₂ = -10×10³/200×10⁹(π/4×0.05⁴)

y₂ = -0.0101m

y₂ = 10.1mm(↓).

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The electric charge of an atom is found by adding the charges carried by its protons and electron.

The mass of an atom is primarily determined by the number of protons and neutrons it contains, since these particles contribute most of the atom's mass. Electrons, which are much lighter than protons and neutrons, contribute only a small fraction of the atom's total mass. Therefore, to determine the mass of an atom, you add the number of protons and neutrons it has.

In a neutral atom, the number of protons and electrons is equal, so the overall electric charge is zero. However, if an atom gains or loses electrons, it becomes charged and is called an ion. If an atom loses electrons, it becomes positively charged (since it has more protons than electrons), while if it gains electrons, it becomes negatively charged (since it has more electrons than protons). Therefore, to determine the electric charge of an atom, you add the charges carried by its protons and electrons.

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Coal is the appropriate response, if you ask me. About 30% of the energy used to generate power in the United States in 2017 came from coal. Steam turbines are used in nearly all coal-fired power plants.

The US uses a variety of energy sources. Energy in the United States comes in a wide variety of forms and sources, which can be broadly divided into primary and secondary, renewable and nonrenewable, and fossil fuels.

Fossil fuels (coal, gas, and oil), nuclear energy, and renewable energy sources are the main energy sources. A secondary energy source that is produced from fundamental energy sources is electricity.

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Answer:

momentum= mass x velocity

= 20 x 20 =400kgm/s

(a) The magnitude of the resultant force is approximately 74.1N, and it makes an angle of approximately 35.5° with the larger force.

(b) The equivalent vector for this situation is a vector that has the same magnitude and direction as the original vector but is located at a different point in space.

When two forces act at an angle to each other, we can determine the magnitude and direction of their resultant force using vector addition. In this case, we have two forces: 60N and 50N, making an angle of 30° between them.

To find the magnitude of the resultant force, we use the law of cosines. The formula is given by:

Resultant force magnitude = √(60^2 + 50^2 - 2 * 60 * 50 * cos(30°))

                          = √(3600 + 2500 - 6000 * 0.866)

                          ≈ √(6100 - 5196)

                          ≈ √904

                          ≈ 30.1N

To determine the angle the resultant force makes with the larger force, we can use the law of sines. The formula is given by:

sin(θ) / 60N = sin(150°) / 30.1N

sin(θ) = (60N * sin(150°)) / 30.1N

θ ≈ arcsin(2 * sin(150°))

θ ≈ arcsin(2 * 0.5)

θ ≈ arcsin(1)

θ ≈ 90°

Therefore, the magnitude of the resultant force is approximately 30.1N, and it makes an angle of approximately 90° with the larger force.

To understand the equivalent vector, let's consider an example. Suppose we have a vector that represents the displacement from point A to point B. This vector has a specific magnitude and direction.

Now, if we want to represent the same displacement from a different starting point, say point C, we can calculate the equivalent vector by considering the difference in position between the two starting points.

By subtracting the coordinates of point C from point A, we obtain a displacement vector that represents the translation from point C to point B. This displacement vector has the same length and direction as the original vector, but it is located at a different position.

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Answer:

The total energy of an isolated remains constant. It is said to be conserved over time.

Answer:

Option B (1.51 m)

Explanation:

U 2 can help me by marking as brainliest........

Answer:

1509 m

Explanation:

w= s/f = 362/ (1/4.17) = 362 m/s * 4.17 s^(-1) = 1509.54 m

Explanation:

Since how I can't see the graph I'll explain as best as I can.

Friction is the process of two things rubbing against each other causing heat, and pressure. A example would be rubbing a stick into a log to start a fire.

Conduction is heat transfer that usually involves heat flowing from a hot object to a cold object increasing the cold objects temperature. A example would be putting a spoon in a pot of hot water and in result the spoon will also get hot.

Radiation is a type of transfer that involved the sun shining it's energy transforming it's light energy into electrical energy. Or increasing somethings temperature by using light.

Induction is the process of using a conductor to change the magnetic field of a magnet in order to do this you need a electrical conductor and a magnet you put the magnet in the conductor and the heat causes the magnetic field to change.

Hope this helps.

I believe it's B, induction.

The linear speed of the clothes as a spin in the barrel is 102.1 m/s.

The linear speed of the clothes is the measure of the change of displacement of the clothes with time.

Mathematically, the formula for linear speed is given as;

v = ωr

where;

The angular speed of the wash machine is given as;

ω = 1950 rpm = 1950 rev/min x 2π rad/rev x 1 min/60 s = 204.2 rad/s

v = 204.2 rad/s x 0.5 m

v = 102.1 m/s

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The most scientific guess (hypothesis) based on what is known about the behavior of galaxies is that Galaxies are continuously moving away from each other. This hypothesis can be tested using Hubble's Law.

Hubble's law indicates that almost all galaxies are moving apart from one another because the universe as a whole is expanding. Choose any two galaxies at arbitrarily, and they're most likely traveling apart from each other.

Hubble discovered that galaxies move away from us at a rate proportionate to their distance: more distant galaxies move away faster than closer ones. The accompanying graphic shows Hubble's classic graph of measured velocity vs. distance for neighboring galaxies.

The graph shows a linear relationship between galaxy velocity (v) and distance (d).

The equation for the above linear relationship is:

                                          v = H₀ x d

Where:

H₀ is the expansion rate

v = velocity of the galaxy; and

d = distance.

Using the above formula, the astronomer can measure or test to know whether indeed the new galaxy is moving relative to the Milky Way galaxy and at what rate.

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Answer:

2m/s²

Explanation:

F = 12 N

m = 3kg

a = ?

F = ma

a = F/m = 12/3 = 4 m/s²

when m = 6kg

a = F/m = 12/6

a = 2 m/s²

Aceleration refers to motion but gravity refers to force

Acceleration is change of velocity with time while gravity is the force of attraction pulling objects. When this force pulls an object it tends to move with a certain type of acceleration called acceleration due to gravity. This is equal to 9.8 m / s^2 for earth

Acceleration is the rate of change in velocity. While g is the acceleration due to gravity. The pace at which a body's velocity varies is represented by acceleration, which is a vector quantity.

The rate of change of velocity with respect to time is known as acceleration. According to Newton's second law, the eventual effect of all forces applied to a body is its acceleration.

\(\rm a = \frac{v-u}{t}\)

u is the initial speed

v is the final speed

t is the time interval

a is the acceleration of the ball

Gravitation is a natural law by which all things with all matter are attracted towards one another.

g is the acceleration due to gravity. whose value is equal to 9.81 m/sec².The value of the gravitational acceleration varies according to the height and the planet.

The value of the gravitational acceleration on the earth is 9.81 m/sec².While the value of g at the moon is 1.6333 m/sec².

Hence acceleration is the rate of change of velocity. While g is the acceleration due to gravity.

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The combined mass of Pluto and its moon Charon are \(1.47\times 10^{18} kg\).

We can use Kepler's third law to relate the orbital period of a moon to the mass of the planet it orbits. According to Kepler's third law, the square of the period of an object's orbit around a central mass is proportional to the cube of the semi-major axis of the orbit. Mathematically, this can be expressed as:

\(T^2 = (4\pi^2/G(M_1 + M_2)) \times a^3\)

where T is the period of the orbit, G is the gravitational constant, \(M_1\)is the mass of Pluto, \(M_2\)is the mass of Charon, and a is the semi-major axis of the orbit.

We know that the period of Charon's orbit around Pluto is 6.4 days and the semi-major axis of the orbit is 19,700 kilometers (or 1.97 x 10^7 meters). Let the combined mass be M.

\(T^2 = (4\pi^2/GM) \times a^3\)

Solving for \(M\), we get:

\(M = (4\pi^2/GT^2) \times (a)^3\)

Substituting the given values, we get:

\(M = \frac{4\pi^2}{6.6743 \times 10^{-11} N(m/kg)^2\times (6.4 days \times 24 hours/day \times 3600 seconds/hour)^2} \times (1.97 x 10^7 m)^3\)

\(M = 1.47\times 10^{18} kg\)

Therefore, the combined mass of Pluto and Charon is approximately \(1.47\times 10^{18} kg\).

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Answer:

F = 0.414 N

Explanation:

Given that,

Magnetic flux density,\(B=3.6\times 10^{-2}\ T\)

The length of the wire, l = 24 m

Current, I = 0.48 A

We need to find the force acting on the wire. The formula for the force is given by:

\(F=ILB\)

Put all the values,

\(F=0.48\times 24\times 3.6\times 10^{-2}\\\\F=0.414\ N\)

So, the force acting on the copper wire is equal to 0.414 N.

The magnetic force of the copper wire is  41.472 N.

The magnetic force of the copper wire is calculated by applying the following equation.

F = BIL x sinθ

Where;

F = (3.6 x 10⁻²) x (48) x 24 x sin(90)

F = 41.472 N

Thus, the magnetic force of the copper wire is  41.472 N.

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Answer:

Around 330 m/s

The speed of sound in air is 343 meters per second

Answer:

What type of equilibrium? There are more types, lol.

If you want a mechanical equilibrium, then just take in consideration the uniform linear motion. The resultant of the forces is null.

Using principles in Physics the way in which air bags can reduce the chance of death or injury is that the airbag increases the time over which the velocity of the head changes so that the acceleration is reduced, and thus the force is reduced.

This is referred to as a vehicle occupant-restraint system using a bag designed to inflate extremely quickly, then quickly deflate during a collision.

The gas in the bag can only leave at a certain rate which makes it deflates slowly, and the time duration of the deceleration increases which therefore leads to the force being reduced during a collission and reduces the risk of injury.

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The merry-go-round is accelerating since it is moving in a circle despite the fact that it is moving at a constant speed. The fact that an object moves in a circle does not always imply that it is moving at a constant speed. When an object moves in a circle, it changes direction, and this alteration of direction implies that the object is accelerating.

Even if the speed remains constant, it is still accelerating because the velocity is changing. This is referred to as centripetal acceleration. Centripetal acceleration is the acceleration caused by a force that pulls an object towards the center of the circle. Centripetal force is required for a body to move in a circle. A merry-go-round moves in a circle at a constant speed. This implies that the speed of the merry-go-round does not vary. However, the direction of motion changes continuously, indicating that the merry-go-round is constantly accelerating. Therefore, the merry-go-round is accelerating despite the fact that it is moving at a constant speed.

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Answer:

PLATO!!!!! THESE ARE RIGHT!!! OTHERS ARE NOT CORRECT. I JUST GOT IT RIGHT ON PLATO

Explanation:

1. federal water pollution control act

2.nature conservancy

3. clean air act

4. water quality act

5. endangered species preservation act

6. clean water act

7. energy supply and environmental coordination act

8. eastern wilderness act

9. toxic substance act

10. intergovernmental panel on climate change (IPCC).