A mass weighing 4 pounds is attached to a spring whose spring constant is 25 lb/ft. what is the period of simple harmonic motion?

Answer:

10 hours

Explanation:

The gravitational force of Earth on the satellite, given that the satellite is launched into orbit 30000 km above sea level is 1.63×10³ N

The gravitaional force between two objects can be obtained by using the following formula:

F = GM₁M₂ / r²

Where

The following data were obtained from he question:

The gravitaional force can be obtained as shown below:

F = GM₁M₂ / r²

F = (6.673×10¯¹¹ × 5.4×10³ × 6.0×10²⁴) / (36400000)²

F = 1.63×10³ N

Thus, the gravitational force is 1.63×10³ N

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Answer:

The black lines represent the energy absorbed by the electrons.

Explanation:

Atoms emit lights when they are excited. These lights are of particular wavelengths that match with different colors. A series of colored lines appear along with spaces in the middle of the two colors. The middle of the colors is filled with dark spaces. Each spectral line of an element represents a specific characteristic of the element. These colored lines appearing in the form of series are termed to be the atomic spectrum of the element. Identification of the elements is done through the line of the spectrum they possess.

Answer:

(B) The black lines represent the energy absorbed by the electrons.

Explanation:

True, the inventor lee de forest developed a vacuum tube capable of detecting and amplifying radio signals.

Lee De Forest was an American inventor who made significant contributions to the development of radio technology in the early 20th century. One of his most important inventions was the vacuum tube, which revolutionized the way that radio signals were detected and amplified. Before De Forest's vacuum tube, radio communication was limited by the weak signals that could be picked up by the primitive detectors of the time. However, De Forest's vacuum tube allowed for much greater amplification of these signals, making long-distance radio communication possible for the first time. This breakthrough was critical for the development of modern telecommunications, and De Forest's vacuum tube remains an important part of radio technology to this day.

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Answer:

Given Mas (m) =63kg

velocity (v) =4.3m/s

momentum (p) =?

p=mv

63kgx4.3m/s

270.9kg.m/s

the momentum =270.9kg.m /s

If a ball of mass 0.63 kilograms is moving at 4.3 meters/seconds, then the momentum of the ball would be 2.709-kilogram meters/second.

It can be defined as the product of the mass and the speed of the particle, it represents the combined effect of mass and the speed of any particle.

Momentum = mass of the object × velocity of the object

As given in the problem we have to calculate the momentum of the ball if it has a mass of 0.63 kilograms and moving with a speed of  4.3 meters/seconds,

The momentum of the ball = 0.63× 4.3

                                             =2.709 kilogram meters/second

Thus, the momentum of the ball comes out to be 2.709-kilogram meters/second.

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The work done on the Puck by the applied force from the most positive to the most negative is c, b, a respectively.

According to Newton's second law of motion, the force applied to an object is directly proportional to the product of mass and acceleration of the object.

F = ma

\(F= \frac{mv}{t}\)

The force applied to an object increases with increases in the velocity of the object.

In the given diagram, the resultant velocity of the puck is calculated as follows;

Figure a:

\(\Delta v = v_f -v_i\\\\\Delta v = 5 - 6 = - 1 \ m/s\)

Figure b:

\(v = \sqrt{4^2 + 3^2} \\\\v = 5 \ m/s\)

Figure c:

\(\Delta v = 4 - (-2)\\\\\Delta v = 6 \ m/s\)

Thus, the work done on the Puck by the applied force from the most positive to the most negative is c, b, a respectively.

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Let's calculate the values based on the given information:

The area of the wooden block can be calculated by multiplying the length and width of one of its faces:

Area = Length * Width

Area = 40 cm * 20 cm

Area = 800 cm²

To convert to square inches, we can use the conversion factor 1 inch = 2.54 cm:

Area in square inches = Area in square centimeters / (2.54 cm/inch)²

Area in square inches = 800 cm² / (2.54 cm/inch)²

Area in square inches ≈ 124.03 in²

The volume of the wooden block can be calculated by multiplying its length, width, and height:

Volume = Length * Width * Height

Volume = 40 cm * 20 cm * 10 cm

Volume = 8000 cm³

To convert to cubic inches, we can use the conversion factor 1 inch = 2.54 cm:

Volume in cubic inches = Volume in cubic centimeters / (2.54 cm/inch)³

Volume in cubic inches = 8000 cm³ / (2.54 cm/inch)³

Volume in cubic inches ≈ 488.19 in³

The density of the wooden block can be calculated by dividing its mass by its volume:

Density = Mass / Volume

Density = 5 kg / 8000 cm³

To convert to grams per cubic centimeter (g/cm³), we can use the conversion factor 1 kg = 1000 g:

Density in g/cm³ = Density in kg/cm³ * 1000 g/kg

Density in g/cm³ = (5 kg / 8000 cm³) * 1000 g/kg

Density in g/cm³ ≈ 0.625 g/cm³

To convert to pounds per cubic inch (lb/in³), we can use the conversion factor 1 kg = 2.20462 lb and 1 inch = 2.54 cm:

Density in lb/in³ = Density in kg/cm³ * (2.20462 lb/kg) / (2.54 cm/inch)³

Density in lb/in³ = (5 kg / 8000 cm³) * (2.20462 lb/kg) / (2.54 cm/inch)³

Density in lb/in³ ≈ 0.036 lb/in³

Pressure is defined as force divided by area. In this case, we need more information to calculate the pressure. If the block is subjected to a specific force, we can divide that force by the appropriate surface area to find the pressure.

The pressure on the top surface of the wooden block depends on the force applied to it. Without information about the applied force, we cannot calculate the pressure.

Similarly, the pressure on the bottom surface of the wooden block depends on the force applied to it. Without information about the applied force, we cannot calculate the pressure.

The force on the top surface of the wooden block depends on the pressure applied and the surface area. Without information about the pressure or force applied, we cannot calculate the force.

The force on the bottom surface of the wooden block depends on the pressure applied and the surface area. Without information about the pressure or force applied, we cannot calculate the force.

Without the values for forces on the top and bottom surfaces, we cannot determine the difference between them.

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1. The area of the wooden block can be calculated using the formula for the surface area of a rectangular prism: SA = 2(lw + lh + wh), where l, w, and h are the length, width, and height of the block, respectively. Using the given dimensions, we can find the surface area in cm²:

SA = 2(40 × 20 + 40 × 10 + 20 × 10)

SA = 2(800 + 400 + 200)

SA = 2(1400)

SA = 2800 cm²

To convert cm² to in², we can use the conversion factor 1 in² = 6.45 cm². So, the area in in² is:

2800 ÷ 6.45 = 434.96 in² (rounded to two decimal places)

2. The volume of the wooden block can be calculated using the formula for the volume of a rectangular prism: V = lwh. Using the given dimensions, we can find the volume in cm³:

V = 40 × 20 × 10

V = 8000 cm³

To convert cm³ to in³, we can use the conversion factor 1 in³ = 16.39 cm³. So, the volume in in³ is:

8000 ÷ 16.39 = 487.61 in³ (rounded to two decimal places)

3. The density of the wooden block can be calculated using the formula: density = mass/volume. The mass of the block is given as 5 kg. To convert this to grams, we can use the conversion factor 1 kg = 1000 g. So, the mass in grams is:

5 kg × 1000 g/kg = 5000 g

Using the volume calculated in part 2, we can find the density in g/cm³:

density = 5000 g/8000 cm³

density = 0.625 g/cm³

To convert g/cm³ to lb/in³, we can use the conversion factor 1 g/cm³ = 0.0361 lb/in³. So, the density in lb/in³ is:

0.625 g/cm³ × 0.0361 lb/in³/g/cm³ = 0.0226 lb/in³

4. The pressure on the wooden block is given by the formula: pressure = force/area. To find the pressure, we need to know the force acting on the block. Since the block is simply resting on the tabletop, the force acting on it is due to its weight. Using the formula for weight: w = mg, where w is weight, m is mass, and g is the acceleration due to gravity (9.8 m/s²).

To find the weight in newtons (N), we can use the conversion factor 1 kg = 9.8 N. So, the weight of the block is:

5 kg × 9.8 N/kg = 49 N

Using the area of the block's base (40 cm × 20 cm = 800 cm²), we can find the pressure in N/cm²:

pressure = 49 N/800 cm²

pressure = 0.06125 N/cm²

To convert N/cm² to psi, we can use the conversion factor 1 psi = 6894.76 N/m². So, the pressure in psi is:

0.06125 N/cm² × (1 m²/10,000 cm²) × (1 psi/6894.76 N/m²) = 0.0089 psi (rounded to four decimal places)

5. The pressure on the top surface of the wooden block is the same as the pressure calculated in part 4: 0.06125 N/cm² or 0.0089 psi.

6. To find the pressure on the bottom surface of the block, we can use the formula: pressure = force/area. Since the bottom surface has the same area as the top surface, the pressure will also be the same: 0.06125 N/cm² or 0.0089 psi.

7. The force acting on the top surface of the wooden block is simply its weight, which we calculated to be 49 N in part 4.

8. The force acting on the bottom surface of the wooden block is also its weight, which we calculated to be 49 N in part 4.

9. The force on the bottom surface is equal in magnitude to the force on the top surface.

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Answer:

Acceleration of the train is -3 m/s²

Explanation:

Since it stops,

final velocity (v) = 0 m/s

time (t) = 25 seconds

initial velocity(u) = 75 m/s

Now,

accelereation = (v-u)/t

or, a = (0-75)/25

or, a = -75/25

so, a = -3 m/s²

Answer:

P = 4707.692 watts

Explanation:

To find work:

Work = Force * Displacement

W= 255 N * 48 m

W = 12240 J

now we can find power:

Power = Work / Time

P = 12240 J / 2.6 s

P = 4707.692 watts

The boy can get as close as 1.25 meters from the right end of the beam without it falling over.

What is Torque?

Torque is a measure of the twisting force that causes rotation or angular acceleration of an object. It is often referred to as the moment of force or the turning effect of force. Mathematically, torque is defined as the cross product of the force vector and the lever arm vector, where the lever arm is the perpendicular distance from the point .

To solve this problem, we need to find the point at which the torque due to the boy's weight is equal and opposite to the torque due to the weight of the beam. This will be the point at which the beam is in equilibrium and will not fall over.

First, we can calculate the weight of the beam using the formula:

weight = mass x gravity

where the mass is 44 kg and gravity is 9.8 m/s^2 (acceleration due to gravity)

weight of beam = 44 kg x 9.8 m/s^2 = 431.2 N

Next, we can calculate the torque due to the weight of the beam about the left post. Since the beam is symmetric, this torque will be halfway between the two posts, or 2.6 m from the left post. The torque is given by:

torque = force x distance

torque due to beam = 431.2 N x 2.6 m = 1121.1 Nm

Now, we can consider the torque due to the boy's weight. Let's assume that the boy's weight can be considered as acting at the midpoint of his position on the beam. If he is x meters from the right end of the beam, then his position on the beam is 2.6 + x meters from the left post. The torque due to his weight is then:

torque due to boy = force x distance

torque due to boy = 24 kg x 9.8 m/s^2 x (2.6 + x) m = 235.2 (2.6 + x) Nm

For the beam to be in equilibrium, the torque due to the boy's weight must be equal and opposite to the torque due to the weight of the beam:

235.2 (2.6 + x) = 1121.1

Solving for x, we get:

x = (1121.1 - 235.2 x 2.6) / 235.2 = 1.25 m

Therefore, the boy can get as close as 1.25 meters from the right end of the beam without it falling over.

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

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

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

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Two small objects of mass m0 and a rotating platform of radius R and rotational inertia Ip about its center compose a single system. Graphs represents the angular displacement of the system as a function of time for the system in experiment 1 is parabola with mouth open up.

Angular displacement is a vector quantity, which means that angular displacement has a size and a direction associated with it. The direction is important for later mathematical processes, but the definition is a bit confusing.

It is the angle made by a body while moving in a circular path. Before we go any further into the topic, we have to understand what is meant by rotational motion. When a rigid body is rotating about its own axis, the motion ceases to become a particle. It is so because in a circular path velocity and acceleration can change at any time. The rotation of rigid bodies or bodies which will remain constant throughout the duration of rotation, over a fixed axis is called rotational motion.

The angle made by the body from its point of rest at any point in the rotational motion is the angular displacement.

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Answer:

Negative neuroplasticity. Environmental factors that decrease cognitive reserve, inhibits neuronal connections and causes sparse neuronal connections. The result if that over time the brain becomes less efficient.A lot of the ways in which our brain function degrades that we typically think of as part of “just getting old” is really negative neuroplastic change. As people grow older, they unknowingly contribute to their brain's decline by not using and challenging it as much. For example, a person retires from work.Both positive neuroplasticity and negative neuroplasticity refer to the actual morphological and neurochemical changes that occur in the nervous system and brain between neurons in response to adapting to environmental demands or press (Figure 1; Vance & Crowe, 2006; Vance, Roberson, McGuiness, & Fazeli, 2010).

Answer:

Explanation:

Angle of refraction is the angle made by refracted ray with the normal at the point of incidence . In this figure , refracted ray has been shown by line having arrow-head . Normal has been shown by broken line .

We observe that in figure D , angle made by refracted ray with normal is greatest . So figure D is the answer.

The  image where the angle of refraction is the greatest is the image D

The angle of refraction is the angle that the refracted ray made with the x-axis.

The higher the angle between the refracted ray and the x-axis, the higher the angle of refraction and vice versa.

From the given diagram, we can see that the  image where the angle of refraction is the greatest is the image D

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Answer:

Explanation:

Retrograde motion in astronomy is, in general, orbital or rotational motion of an object in the direction opposite the rotation of its primary, that is, the central object (right figure). It may also describe other motions such as precession or nutation of an object's rotational axis. Prograde or direct motion is more normal motion in the same direction as the primary rotates. However, "retrograde" and "prograde" can also refer to an object other than the primary if so described. The direction of rotation is determined by an inertial frame of reference, such as distant fixed stars.

Retrograde motion occurs when a planet far from another planet and from which it is seen rotates at lower speed, creating the impression that it is "retrograding" with respect to the other planet.

Early astronomers get confused as they viewed the motion in the sky because they tried to explain it in terms of the geocentric theory.

Let suppose that we have a planetary system formed by a star and two planets rotating uniformly around the star. Besides, we assume that both planets are rotating at different velocities, and that planet A is more far away from the star than planet B, then the velocity of the planet A relative to planet B is:

\(\vec v_{A/B} = \vec {v}_{A}- \vec {v}_{B}\) (1)

A retrograde motion of planet A occurs when \(\|\vec v_{A/B}\|\ne 0\) and if \(\|\vec v_{A}\| < \|v_{B}\|\) at least. In other words, retrograde motion exists when speed of planet A is less than speed of planet B, creating the impression that planet A is "retrograding" with respect to planet B.  This question is easy to solve and to explain by considering the star as an inertial framework, base of the heliocentrical model.

Early astronomers were confused and unable to explain the phenomenon due to their adherence to geocentrical model, which assumed the Earth was the center of the solar system.

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Hello!

Answer:

When a gas gets hot it should go up because of the pressure.

Explanation:

Hope this helps!

A) The football player (71.5 kg that gliding across very smooth ice at 2.20 m/s) speed afterward if the ball is thrown at 13.5 m/s relative to the ground = 2.112 m/s.

B) The player's speed afterward if the ball is thrown at 13.5 m/s relative to the player = 2.101 m/s.

When the player throws the ball forward, there will be an equal and opposite reaction on the player due to the conservation of momentum.

The player's speed afterward can be calculated using the formula for the conservation of momentum:
m₁v₁ + m₂v₂ =  m₁v₁' + m₂v₂'
Where

m₁ and m₂ are the masses of the player and the ball

v₁ and v₂ are their initial velocities, and

v₁' and v₂' are their final velocities.
Hence,
(71.5 kg)(2.20 m/s) + (0.450 kg)(0) =

(71.5 kg)(v1') + (0.450 kg)(13.5 m/s)  
v₁' = (157.3 - 6.075)/71.5

= 2.112 m/s
Therefore, the player's speed afterward is 2.112 m/s.

If the ball is thrown at 13.5 m/s relative to the player, then the ball's velocity relative to the ground will be the sum of the player's velocity and the ball's velocity relative to the player:
v₂' = v₁ + v₂' - v₁
v₂' = 2.20 m/s + 13.5 m/s

= 15.7 m/s
Hence,

v₁' = (71.5 kg)(2.20 m/s) + (0.450 kg)(0)

= (71.5 kg)(v1') + (0.450 kg)(15.7 m/s)
v₁' = (157.3 - 7.065)/71.5

= 2.101 m/s
Therefore, the player's speed afterward is 2.101 m/s.

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Racial formations are defined as the social historical concepts by which radial identities are created lived out, transformed, and destroyed.

Race is the way of separating groups of people based on social and biological aspects. It is the process through which a specific group of people is defined as race.

Racial formations explain the definition of specific race identities. It examines the race as a dynamic social construct with structural barriers ideology etc.

This theory gives attempt to determine the difference between people based on how they live rather than how they look. Hence, in the racial formations essay reading, race is defined as a socio-historical concept.

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When rays of light actually intersect, they form a real image. A real image is an image that can be projected onto a screen because it is formed by the actual intersection of light rays.

The real image is always inverted and smaller in size than the object being imaged. The distance between the real image and the lens or mirror that forms it is dependent on the distance between the object and the lens or mirror. Real images are formed by concave mirrors and convex lenses when the object is placed beyond the focal point, as well as by convex mirrors and concave lenses when the object is placed within the focal point.

Real images are used in many applications such as in microscopes, telescopes, and cameras. In these devices, the real image is projected onto a surface such as film or an electronic sensor, which captures the image and converts it into an electrical signal.

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The given problem involves calculating the definite integral of a function f(x) over a specific range. The function f(x) is defined differently for different values of x, and the final result of the definite integral \(1^2\)₁ f(x) dx, where x ≤ n, is -cos(n) - (-cos(1)) + 3cos(T) - 3cos(n) + infinity.

To calculate the definite integral 1²₁ f(x) dx, where x ≤ n, we need to evaluate the integral of the given function f(x) over the specified range. The function f(x) has different definitions depending on the value of x. For x ≤ n, the function is sin(x), and for x > n, the function is -3sin(x). Additionally, the function is defined as 2x for values of x greater than a certain threshold T.

To solve this problem, we need to consider the different intervals of the range separately. First, we integrate sin(x) over the interval 1 to n. The integral of sin(x) is -cos(x), so the value of this part of the integral becomes -cos(n) - (-cos(1)).

Next, we need to integrate -3sin(x) over the interval n to T. The integral of -3sin(x) is 3cos(x), so this part of the integral becomes 3cos(T) - 3cos(n).

Lastly, we integrate 2x over the interval T to infinity. The integral of 2x is \(x^2\), so this part of the integral becomes infinity.

Combining these three parts, the final result of the definite integral \(1^2\)₁ f(x) dx, where x ≤ n, is -cos(n) - (-cos(1)) + 3cos(T) - 3cos(n) + infinity.

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The magnitude of the ball's change in velocity is 2 m/s. The direction of the change in velocity is downwards.

In physics, magnitude is a measure of the size or intensity of a physical quantity, such as length, mass, temperature, pressure, or energy. Magnitude is often expressed as a numerical value, and is usually related to the physical property being measured. For example, the magnitude of a length measurement is the length itself, while the magnitude of a temperature measurement is the temperature reading. Magnitude is also used to describe the size of a star or other astronomical object, such as a planet. It is typically expressed as a number on a logarithmic scale, where a lower number indicates a brighter object and a higher number indicates a dimmer object.

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The direction of the magnetic force acting on the wire in part b due to the applied magnetic field is: downward, or towards the ground.

This is because the magnetic field, which is produced by the current flowing through the wire, is always oriented in a circle around the wire. Therefore, the magnetic force is also oriented in a circle, with the downward direction pointing towards the ground.

To understand this further, consider the right-hand rule, which states that if you wrap your right hand around the wire, then your thumb will point in the direction of the magnetic force.

To sum up, the direction of the magnetic force acting on the wire in part b due to the applied magnetic field is downward, or towards the ground. This can be understood by considering the right-hand rule, which states that if you wrap your right hand around the wire, then your thumb will point in the direction of the magnetic force.

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Answer:

D. All lunar eclipses reoccur.

Explanation:

Every Saros cycle (19 eclipse years)

Saro was described by Edmond Halley arround the year 1691, which is a period of 223 synodic which can be interepreted as "repitition" it is used by the scientist for eclipse prediction either for the sun or moon eclipse. It is 18years and 11days and some hours.

It should be noted that with this All lunar eclipses reoccur.

The following statements is true regarding dermatomes is O Dermatomes overlap at their edges by as much as 50%

Dermatomes are sensory areas of the skin that are innervated by a specific spinal nerve. While each dermatome provides sensory input from a specific area of the skin to a specific spinal nerve, the edges of the dermatomes may overlap by as much as 50%. This means that a given area of skin may be innervated by more than one spinal nerve. Dermatomes are used to assess spinal nerve damage and can be used to assess the level of damage to the nerve. This is important in order to provide sensory input from a broad area of the skin to a specific spinal nerve. Dermatomes are not used to assess spinal nerve damage, but rather to provide sensory information from the skin to the spinal nerve.

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Answer:

(b) 2

Explanation:

A newton-meter per second is a unit of both power and energy (option d).

The unit of a newton-meter per second represents the rate at which work is done or energy is transferred. Work and energy are related concepts, and power is the measure of how quickly work is done or energy is transferred.

In physics, work is defined as the transfer of energy that occurs when a force acts on an object and displaces it. The unit of work and energy is the joule (J), which is equal to a newton-meter (N·m). This means that one newton-meter is equivalent to one joule.

Power, on the other hand, is the rate at which work is done or energy is transferred. It is defined as the amount of work done or energy transferred per unit time. The unit of power is the watt (W), which is equal to one joule per second (J/s). Therefore, a newton-meter per second is equivalent to a watt, making it a unit of power.

In conclusion, a newton-meter per second is a unit of both power and energy, as it represents the transfer of energy or work done per unit time.

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One of the four mentioned is not a plate boundary is b. insurgent.

Plate tectonics is the theory that explains the movement of Earth's lithosphere, which is composed of large plates that glide over the mantle. The plates are separated by three types of plate boundaries: divergent, convergent, and transform. Transform boundary is where two plates slide past one another in opposite directions, either horizontally or diagonally. The San Andreas Fault is a well-known example of a transform boundary. Divergent boundaries are where two plates pull away from each other and new crust is created.

The Mid-Atlantic Ridge is an example of a divergent boundary and convergent boundary is where two plates move towards each other and one plate gets consumed or goes under the other. The Himalayas were created as a result of the collision of two convergent plates, the term insurgent is not used in plate tectonics. The correct term that describes the three main types of plate boundaries is not insurgent but instead transform, divergent, and convergent boundaries. So the correct answer is b. insurgent.

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