A 3. 2 kg cannon ball at rest is fired from a cannon. The cannon ball leaves the cannon with a speed of 6. 0 m/s. Determine the force provided by the cannon if it


takes 0. 55 seconds to launch the cannon ball


0 10,6 N


0 27,8 N


0 34 9 N


0 159 N

The height from which the assassin shot the target= 580.10 feet  

To find the height from which the assassin shot the target, we can use the following formula:

Height = (Distance × tan(Angle)) + Target Height

Where:
- Height is the height from which the assassin shot the target
- Distance is the horizontal distance between the assassin and the target (294 feet)
- Angle is the angle between the horizontal line and the line of sight (63 degrees)
- Target Height is the height of the target (3.1 feet)

First, calculate the height difference using the distance and angle:

Height Difference = 294 × tan(63 degrees)
Height Difference ≈ 577.00 feet

Now, add the target height to find the total height from which the assassin shot:

Height = Height Difference + Target Height
Height = 577.00 + 3.1
Height ≈ 580.10 feet

The assassin shot the target from a height of approximately 580.10 feet.

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Assuming the light ray enters the glass from air at an angle, it will bend towards the normal (an imaginary line perpendicular to the surface of the glass) as it enters the glass due to the decrease in speed.

Once inside the glass, the light ray will continue to travel in a straight line until it reaches the other side of the glass. As it exits the glass and enters air again, it will bend away from the normal due to the increase in speed.

Overall, the path of the light ray will be bent twice, once when it enters the glass and again when it exits the glass, due to the change in the speed of light in the two different media.

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The recommended RPM for turning a 1.00" diameter mild steel workpiece using an HSS cutting tool would be approximately 400 RPM.

To calculate the RPM for turning a 1.00" diameter workpiece made of mild steel using an HSS (high-speed steel) cutting tool, you can use the following formula:

RPM = (Cutting Speed x 4) / Workpiece Diameter

For mild steel, the recommended cutting speed with HSS tools is approximately 100 surface feet per minute (SFM). Using this value and the given workpiece diameter, we can calculate the RPM:

RPM = (100 SFM x 4) / 1.00" Diameter

RPM = 400 / 1.00

RPM ≈ 400

So, the recommended RPM for turning a 1.00" diameter mild steel workpiece using an HSS cutting tool would be approximately 400 RPM.

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During dilemma, a person may experience conflicting thoughts and emotions, uncertainty, anxiety, and stress. Two alternative solutions you implemented to solve the dilemma are the Pros and cons list and Seeking advice.

They may struggle to make a decision, as each option has its pros and cons. To solve a dilemma, one can consider alternative solutions, weigh their potential outcomes, and decide which one aligns better with their values, beliefs, and goals. Here are two examples of alternative solutions:

Pros and cons list: One way to solve a dilemma is by making a list of pros and cons for each option. This can help to clarify the potential benefits and drawbacks of each choice, which can help in making a more informed decision.

Seeking advice: Another way to solve a dilemma is to seek advice from a trusted friend, family member, or professional. Talking through the situation with someone else can help to gain a different perspective and see the situation from a new angle.

Ultimately, the solution to a dilemma will depend on the specific situation and the individual's unique circumstances. It's important to take the time to consider all options and their potential outcomes before making a decision.

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Sound waves carry energy parallel to the motion of the wave, while light waves carry energy perpendicular to it.

We know that light is electromagnetic wave and also we have to know that light is a transverse wave. The implication of that is that the direction of the wave motion is parallel to that of the disturbance that is causing the wave.

Light waves have higher intensity than sound waves and can cause more damage. The human eye is much more sensitive to light than the human ear is to sound.

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Answer:

D is  the answer
Sound waves carry energy parallel to the motion of the wave, while light waves carry energy perpendicular to it.

Explanation:

0.45 m far is the spring compressed if 150 N force is used in a spring has a spring constant of 330 N/m

Define spring constant

The stiffness of the spring is quantified by the spring constant, k. For various materials and springs, it varies. The spring becomes stiffer and more challenging to stretch as the spring constant increases.

It is used to assess the stability or instability of a spring and, consequently, the system it is meant to serve. Its expression is given by the formula k = - F/x, which reworks Hooke's Law. where x is the displacement caused by the spring, given in N/m, and k is the spring constant.

Force = spring constant * extension

150 = 330 * extension

Extension  = 150/330

Extension = 0.45 m

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The other force acting on the mass has x- and y-components of 5.27 N and 11.4 N respectively.

Force is the action of one body on another body, which causes it to accelerate, deform, or change direction. It is a vector quantity, meaning it has both magnitude and direction. Forces can be either contact forces, such as friction, or non-contact forces, such as gravity, electric and magnetic forces.

The acceleration of the mass can be broken down into its x- and y-components.
The x-component of the acceleration is:
ax = 5.48 cos(38.0°) = 4.28 m/s2
The y-component of the acceleration is:
ay = 5.48 sin(38.0°) = 3.51 m/s2
The x-component of the force is known and is given as 8.63 N.
The net force acting on the mass can be calculated using the equation:
Fnet = ma
The net force in the x-direction is:
Fnetx = m * ax = 3.25 * 4.28 = 13.9 N
The net force in the y-direction is:
Fnety = m * ay = 3.25 * 3.51 = 11.4 N
The remaining force in the x-direction is:
Fx = Fnetx - 8.63 = 13.9 - 8.63 = 5.27 N
The remaining force in the y-direction is:
Fy = Fnety = 11.4 N
Therefore, the other force acting on the mass has x- and y-components of 5.27 N and 11.4 N respectively.

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At t=0 a grinding wheel has an angular velocity, the wheel turned through a total angle of approximately: 501.21 radians between t=0 and the time it stopped.

To find the total angle through which the wheel turned between t=0 and the time it stopped, we need to consider two parts: the angle covered during constant angular acceleration, and the angle covered while coasting to a stop.

1. During constant angular acceleration:
At t=0, the angular velocity is 21.0 rad/s, and the angular acceleration is 26.0 rad/s². The circuit breaker trips at t=2.10 s. Using the equation θ1 = ω0t + 0.5αt², we can find the angle covered during this time:

θ1 = (21.0 rad/s)(2.10 s) + 0.5(26.0 rad/s²)(2.10 s)²
θ1 ≈ 63.21 rad

2. While coasting to a stop:
After the circuit breaker trips, the wheel turns through an angle of 438 rad as it coasts to a stop at constant angular acceleration. This means θ2 = 438 rad.

To find the total angle through which the wheel turned, simply add θ1 and θ2:

Total angle = θ1 + θ2 = 63.21 rad + 438 rad ≈ 501.21 rad

Therefore, the wheel turned through a total angle of approximately 501.21 radians between t=0 and the time it stopped.

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The fusion of hydrogen would yield more energy than the fission of uranium.

In the fusion process, hydrogen atoms combine to form helium, releasing an enormous amount of energy in the process. This is the process that powers the sun and other stars.

On the other hand, in the fission process, heavy atomic nuclei, such as uranium or plutonium, are split into smaller nuclei, releasing energy.

While fission is used to generate electricity in nuclear power plants, the amount of energy released per reaction is lower than that of fusion.

Fusion reactions have the potential to produce far more energy than fission reactions, but currently, scientists are still working on finding a way to make fusion reactors commercially viable.

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suppose you have a straight wire that has a resistance of 5 ohms and a length of 11 meters, attached to a battery. The U is 5 volts, to the nearest 0.01.

Using the given information, we can determine the current flowing through the wire when the maximum force is experienced. The formula for the force on a wire in a magnetic field is:

F = B * I * L * sin(theta)

Where F is the force, B is the magnetic field strength, I is the current, L is the length of the wire, and theta is the angle between the magnetic field and the current. In this case, the maximum force occurs when sin(theta) = 1 (i.e., when the angle is 90 degrees).

Given F = 11 N, B = 7 T, and L = 11 m, we can solve for I:

11 N = 7 T * I * 11 m
I = 11 N / (7 T * 11 m)
I = 1 A

Now that we know the current, we can use Ohm's Law (V = I * R) to find the battery voltage, where V is the voltage, I is the current, and R is the resistance:

V = 1 A * 5 Ohms
V = 5

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An example of vertical motion in Galileo description is dropping a feather and a rock from the same height.

Through his observations employing a telescope that he designed and built himself, Galileo arrived at the conclusion that the Sun was the center of our solar system, thereby rejecting the orthodox notion held then that Earth was at the universe's epicenter. The theory of heliocentrism forward by him incited opposition and consternation from Roman Catholic Church which firmly believed in geocentrism as being valid astronomy.

In one of his well-known experiments, Galileo proposed that a feather and rock would fall to earth equally fast because of gravity if we disregard air resistance. Comparable acceleration resulting from gravitational pull, with an approximate value of 9.8 meters per second squared (m/s^2) close to the Earth's surface, explains why both objects display identical conduct.

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Shutting down a nuclear reactor can take anywhere from a few minutes to several hours, depending on the type of reactor and the circumstances surrounding the shutdown.

In a normal shutdown, it typically takes a few hours to fully cool down the reactor and bring it to a safe, stable state.

However, in an emergency situation such as a reactor malfunction or natural disaster, the shutdown process may need to be accelerated to prevent a catastrophic event.

In such cases, emergency cooling systems and other safety measures may be employed to shut down the reactor as quickly as possible.

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Approximately 4.188 kg of water is used to cool the engine.

To determine the mass of water used to cool the engine, we need to use the specific heat capacity of water and the formula for heat transfer.

We can assume that the engine and water in it initially had a temperature of 35°C and cooled to 10°C. The temperature difference is ΔT = 35°C - 10°C = 25°C.

The formula for heat transfer is Q = mcΔT, where Q is the heat transferred, m is the mass of the substance, c is its specific heat capacity, and ΔT is the change in temperature.

We are given Q = 4.4x [tex]10^{6}[/tex] J and the mass of the engine, so we need to find c for water.

The specific heat capacity of water is 4.18 J/g°C. We can rearrange the formula to solve for the mass of water: m = Q / cΔT. Plugging in the values, we get:

m = 4.4x [tex]10^{6}[/tex] J / (4.18 J/g°C x 25°C) = 4188 g or 4.188 kg

Therefore, approximately 4.188 kg of water is used to cool the engine.

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net force 20

it's balanced because they are both of the same magnitude

A) Johann Winckelmann assisted Anton Raphael Mengs with the iconography of his ceiling fresco, Parnasus, in the Villa Albani.

The person who assisted Anton Raphael Mengs with the iconography of his ceiling fresco, Parnassus, in the Villa Albani was Johann Joachim Winckelmann. Winckelmann was a German art historian and archaeologist who was highly influential in the development of neoclassicism. He was a friend and collaborator of Mengs, and he provided guidance on the classical iconography and symbolism used in the Parnassus fresco.

The fresco depicts the classical god Apollo surrounded by the Muses, who are engaged in various artistic pursuits, such as poetry, music, and dance. Winckelmann's knowledge of classical art and literature was instrumental in shaping the iconography of the fresco, which remains one of the most important examples of neoclassical art.

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Yes, the drawing is to scale an accurate scale model. The artist shows how the diameters compare as well as the distances from the Sun in AU's. The correct answer is C) Yes, the drawing is to scale.

The artist shows how the diameters compare as well as the distances from the Sun in AU's. However, it is important to note that neither the distances from the Sun nor the size of the planets are drawn to scale. Both are too small according to actual distances and diameters.

Overall, the model accurately represents the relative distances of each planet from the Sun, but it is not an accurate representation of the actual distances and sizes of the planets in our solar system. Since the model uses AU's to represent distances between the planets and the Sun, it provides an accurate representation of the relative distances within the solar system. The correct answer is C) Yes, the drawing is to scale.

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12.7 ms−1 is the velocity of the glider

Define velocity.

When an object is moving, its velocity is the rate at which it is changing position as seen from a specific point of view and as measured by a specific unit of time.

Velocity can be defined as the rate at which something moves in a specific direction. as the speed of a car driving north on a highway or the speed at which a rocket takes off.

Given,

Horizontal speed ∣→vh∣ =12.5 ms−1

t=Distance/Speed ⇒

t=6.00/12.5= 0.48s

Vertical speed

∣→vv∣=1.00/0.48=2.083 ms−1

∣→v∣=√(12.52)+(2.083)2

      = 12.7 ms−1

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We have detected planets in the habitable zone s not evidence against the discussion of the Fermi Paradox. Option B is correct.

The fp discussion refers to the Fermi Paradox, which is the apparent contradiction between the high probability of the existence of extraterrestrial civilizations and the lack of evidence for, or contact with, such civilizations. The presence of exoplanets in the habitable zone is actually evidence supporting the discussion of the Fermi Paradox, which asks why we haven't detected any signs of intelligent extraterrestrial life despite the high probability of its existence.

As the inability to observe exoplanets around most stars does not necessarily imply a contradiction with the Fermi Paradox. In fact, this limitation can be accounted for by understanding our observational capabilities and taking into account non-detections in our analysis. Option B is correct.

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The actual answer may differ depending on the true values of those variables.

The approximate velocity of the object at 5 seconds can be determined using the following steps:

1. Identify the given information: You are asked to find the velocity of the object at a specific time (5 seconds).

2. Determine the equation needed:

To find the velocity at a certain time, you will need to use the equation:

 v = u + at,

where

v is the final velocity,

u is the initial velocity,

a is the acceleration, and

t is the time.

3. Gather necessary data: To use the equation, you need to know the initial velocity (u) and the acceleration (a) of the object. This information is not provided in your question,

so it is not possible to give an exact answer. However, I will assume some values for u and a to provide an example calculation.

4. Example calculation: Let's assume the initial velocity (u) is 0 m/s and the acceleration (a) is 2 m/s². Plug these values, along with the given time (t = 5 seconds), into the equation:

v = u + at

v = 0 + (2 × 5)

v = 0 + 10

v = 10 m/s

In this example, the approximate velocity of the object at 5 seconds is 10 m/s. Note that this answer is based on the assumed values for initial velocity and acceleration,

So the actual answer may differ depending on the true values of those variables.

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A blower door assembly is a device used to test the airtightness of buildings. It consists of a fan, a frame that fits into a doorway, and various instruments for measuring airflow and pressure.

One of the key components of a blower door assembly is a pressure measuring instrument, which is used to determine the difference in air pressure between the inside and outside of the building.

The pressure measuring instrument used in a blower door assembly is typically a manometer. A manometer is a device that measures pressure by comparing the pressure of a fluid, such as mercury or water, in a vertical column to a reference pressure. In a blower door assembly, the manometer is connected to hoses that are attached to the fan and the frame. The fan blows air out of the building, creating a pressure differential between the inside and outside. The manometer measures the pressure difference and displays it on a digital or analog readout.

The pressure measurement is an important aspect of the blower door test, as it can help identify areas where air leakage is occurring. By measuring the pressure difference between the inside and outside of the building, the blower door assembly can help identify areas where the air is escaping or entering the building. This information can be used to improve the energy efficiency of the building by sealing air leaks and reducing energy consumption.

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Ginny is a first-year student. She never studied art history in high school, but he is now. She makes a valiant effort to record every word the instructor says when taking notes. She ought to outline or summarise instead.

For instance, when we scan a phone book for a number before dialling, the number is momentarily stored in our memory for a little period of time before disappearing once the action is complete.

Because they enable us to combine several ideas into a single, simple word, they can be wonderful mnemonic tools. For energy, being able to recall the rainbow's hues.

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The ball will be 246.12 meters away from the starting point at 12 seconds after it is kicked and the greatest height reached by the ball is approximately 20.81 meters.

A. To find where the ball will be at 12 seconds after it is kicked, we need to first break down the initial velocity into its horizontal and vertical components.

The horizontal component, Vx, can be found using the equation Vx = Vcos(theta), where V is the initial velocity (25 m/s) and theta is the angle of the kick (35 degrees).

Vx = 25 m/s * cos(35)

Vx = 20.51 m/s

The vertical component, Vy, can be found using the equation Vy = Vsin(theta).

Vy = 25 m/s * sin(35)

Vy = 14.26 m/s

We can then use the equation of motion to find the horizontal displacement, dx, after 12 seconds:

dx = Vx * t

dx = 20.51 m/s * 12 s

dx = 246.12 m

Therefore, the ball will be 246.12 meters away from the starting point at 12 seconds after it is kicked.

B. To find the greatest height reached by the ball, we can use the vertical component of the initial velocity, Vy, and the acceleration due to gravity, g, which is approximately 9.8 m/s².

We can use the following kinematic equation:

[tex]Vy^2 = V0y^2 + 2gh[/tex]

where V0y is the initial vertical velocity (14.26 m/s) and h is the maximum height reached by the ball.

We can rearrange the equation to solve for h:

[tex]h = (Vy^2 - V0y^2) / 2g[/tex]

[tex]h = (0 - 14.26^2) / (2 \times -9.8)[/tex]

h = 20.81 m

Therefore, the greatest height reached by the ball is approximately 20.81 meters.

Summary: To find the position of the ball after 12 seconds and its maximum height, we first calculated the horizontal and vertical components of the initial velocity. Using the horizontal component, we calculated the horizontal displacement after 12 seconds.

Using the vertical component and the acceleration due to gravity, we calculated the maximum height reached by the ball. The ball will be 246.12 meters away from the starting point 12 seconds after it is kicked and it will reach a maximum height of approximately 20.81 meters.

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The two intrinsic properties are used in the Hertzsprung-Russell (HR) diagram, which is a graphical representation of the relationship between a star's luminosity and temperature. The HR diagram is a powerful tool for understanding the evolution and properties of stars, and it is widely used in astronomy.

The two most important intrinsic properties used to classify stars are:

1. Luminosity: Luminosity is the total amount of energy emitted by a star per unit time. It is a measure of the star's intrinsic brightness and is related to its size and temperature. Luminosity is usually expressed in units of watts or solar luminosities.

2. Spectral type: Spectral type is a classification system based on the star's spectrum, which is a measure of the star's temperature and chemical composition. The spectral type is determined by the presence or absence of certain spectral lines in the star's spectrum, and it is usually classified using the letters O, B, A, F, G, K, and M, with O stars being the hottest and M stars being the coolest. The spectral type is also related to the star's color and surface temperature.

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The experiment involves comparing the temperatures of two thermometers placed in different atmospheric compositions and exposed to radiant energy. The goal is to track the amount of radiant energy absorbed by each atmosphere over a period of 30 minutes.

Part B of the experiment involves performing the actual experiment by following the given directions.:

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The part of the scapula that articulates with the clavicle is called the acromion process. The acromion process is a bony projection located at the lateral end of the scapula, and it forms a joint called the acromioclavicular joint (AC joint) with the medial end of the clavicle. This joint allows for movement and stability between the scapula and the clavicle, contributing to the overall mobility of the shoulder.

In addition to the acromion process, there is another part of the scapula that articulates with the clavicle. It is called the lateral end of the clavicle. The lateral end of the clavicle forms a joint called the sternoclavicular joint with the medial end of the clavicle. This joint connects the clavicle to the sternum and allows for movement and stability of the shoulder girdle.

To summarize, the scapula articulates with the clavicle at two different joints: the acromioclavicular joint (AC joint) formed by the acromion process of the scapula and the medial end of the clavicle, and the sternoclavicular joint formed by the lateral end of the clavicle and the sternum. These joints play a crucial role in shoulder movement and stability.

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Answer:

The archerfish is a type of fish well known for its ability to catch resting insects by spitting a jet of water at them.

Explanation:

This wave represents the second harmonic. The wavelength of this wave is 54.0 cm. The number of nodes in the wave pattern is 3. The tension in the string is approximately 94.1 N.

(a) This wave represents the second harmonic. In the second harmonic, there is one full wavelength between the two fixed ends of the string.

(b) To determine the wavelength, use the formula for the length of the string in terms of the harmonic number and wavelength: L = n * (λ/2). In this case, L = 54.0 cm, and n = 2 (second harmonic). Solve for λ:

54.0 cm = 2 * (λ/2)
λ = 54.0 cm

The wavelength of this wave is 54.0 cm.

(c) The number of nodes in the wave pattern is 3. In a standing wave, there are always (n+1) nodes, where n is the harmonic number. Here, n = 2:

Nodes = 2 + 1 = 3

(d) To determine the tension in the string, use the formula for the wave speed: v = √(T/μ), where T is the tension, μ is the linear mass density, and v is the wave speed. You can also use the formula v = fλ, where f is the frequency and λ is the wavelength.

First, find the wave speed:

v = fλ
v = 261.6 Hz * 0.54 m (convert 54.0 cm to meters)
v = 141.264 m/s

Now, solve for the tension using the wave speed formula:

141.264 m/s = √(T / 0.00472 kg/m)
(141.264 m/s)² = T / 0.00472 kg/m
T = (141.264 m/s)² * 0.00472 kg/m
T ≈ 94.1 N

The tension in the string is approximately 94.1 N.

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One benefit of using a computer simulation attached to controls such as a steering wheel, brakes, and gas pedal for learning to drive is C: It can show what happens when the driver turns a corner.

This model allows novice drivers to practice and understand the dynamics of turning corners in a safe, controlled environment. By sensing the forces applied to the controls, the simulation can accurately replicate how a real car would respond, enabling learners to develop proper steering, braking, and acceleration techniques.

Additionally, the simulation can be customized to present various road conditions and scenarios, helping drivers gain experience and confidence before hitting the road. While this model does not directly address options A, B, and D, it focuses on enhancing a driver's overall understanding and ability to maneuver a vehicle safely and effectively. The correct option is C: It can show what happens when the driver turns a corner.

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Then  it takes 0.375 seconds for the bullet to reach the target.

To determine the time required for the bullet to reach the target, we can use the formula t = d/v, where t is time, d is distance, and v is velocity. In this case, the distance is 300 meters and the velocity is 800 m/s.

Substituting these values into the formula, we get:

t = 300/800
t = 0.375 seconds


It is important to note that this calculation assumes that there is no air resistance acting on the bullet. In reality, air resistance would cause the bullet to slow down over time, so the actual time required for the bullet to reach the target may be slightly longer than calculated.

Additionally, it is crucial to always follow proper firearm safety protocols and regulations when handling firearms.

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The average current during the lightning strike is approximately 12,500 amperes (A). It's important to note that lightning strikes involve extremely high currents and voltages, making them potentially dangerous and capable of causing significant damage.

When a lightning strike occurs, it involves a rapid discharge of electrical energy between a cloud and the ground. The statement you provided indicates that 2.5 coulombs (C) of charge flows from the cloud to the ground in 0.20 milliseconds (ms).

To calculate the average current during this time interval, we can use the formula:

Average current (I) = Charge (Q) / Time (t)

In this case, the charge is 2.5 C, and the time is 0.20 ms (which is equivalent to 0.20 x [tex]10^{(-3)[/tex] seconds). Plugging these values into the formula, we get:

I = 2.5 C / (0.20 x [tex]10^{(-3)[/tex] s)

I = 2.5 C / 2 x [tex]10^{(-4)[/tex]s

I = 12,500 A

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