if an amplifier has an r in = 1 kω, and a coupling capacitor of value 33 μf, the approximate cutoff frequency would be

For quantities like power electric voltage frequency it is more common to see prefixes represent the power of minus 2 and minus 10 because it makes the data more accurate.

When you measure the quantities which are very difficult to measures and at the same time getting high Precision and accuracy we use the concept of using the prefixes to represent the power of -2 and -10.

Usually for frequencies we use the powers of -10 and 4 quantities like power and electric voltage we use the prefixes like the power of -2.

The reason for this is very simple because it makes the data accurate and easy to understand for the person operating on the devices.

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The energy that powers radio galaxies, quasars, and other active galactic nuclei produced is gravitational energy.

The gravity, which transforms the kinetic energy of matter falling toward a central black hole into thermal energy through collisions between the matter particles.

An extremely significant force is gravity. Gravity affects the pathways that everything moving through space takes because every object in space pulls on every other object.

Whole galaxies are held together by it like glue. It maintains planets' orbits.

A particle's kinetic energy, or energy of motion, rises as it approaches a black hole, while its gravitational potential energy gradually decreases.

Hence,  the energy that powers radio galaxies, quasars, and other active galactic nuclei produced is by gravity, which transforms the kinetic energy of matter falling toward a central black hole into thermal energy through collisions between the matter particles.

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Gravitational energy is the source of energy for radio galaxies, quasars, and other active galactic nuclei.

Through collisions between the matter particles, gravity converts the kinetic energy of matter falling toward a central black hole into thermal energy.

Gravity is a very important factor. Every object in space pushes on every other object, which changes the paths that everything traveling through space takes.

It serves as the glue that holds entire galaxies together. It keeps track of planets' orbits.

As a particle gets closer to a black hole, its kinetic energy, or energy of motion, increases but its gravitational potential energy eventually diminishes.

As a result, gravity, which converts the kinetic energy of matter falling toward a central black hole into thermal energy through collisions between the matter particles, is what generates the energy that fuels radio galaxies, quasars, and other active galactic nuclei.

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Answer: C

Explanation:

(Magma composition and cooling rate)

Igneous rocks are formed by cooling magma. The location of the formation of the rock, as well as how fast the magma cools will determine the type of igneous rock. Intrusive rocks form from the cooling of magma deep beneath the earth's surface. Since this occurs below the earth's surface, the magma will cool very slowly.

Answer:

c. Magma composition and cooling rate

Explanation:

Igneous rocks form when magma (molten rock) cools and crystallizes, either at volcanoes on the surface of the Earth or while the melted rock is still inside the crust.

The tension in each cable must be equal to the mass of the cargo multiplied by the acceleration due to gravity, and divided by the number of cables.

In order to determine the tension in each cable required to support the cargo in static equilibrium, we can use Newton's Second Law of Motion.

This law states that the sum of the forces acting on an object must be equal to the object's mass multiplied by its acceleration.
The tension in each cable (T) must be equal to the weight of the cargo (W) divided by the number of cables (n).

So the equation would be:  

T = W/n.
To find the value of T, we can use the formula

W = mg

where m is the mass of the cargo and g is the acceleration due to gravity.

Plugging this into the equation for T, we have:

T = mg/n.

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Answer:

Businesses

Explanation:

I think not sure tho

Ann's speed with sandbags is 400 meters in 5 minutes, or an average of 80 meters per minute.

In everyday use and in kinematics, the speed of an object is the magnitude of the change of its position over time or the magnitude of the change of its position per unit of time; it is thus a scalar quantity.Speed is defined as. The rate of change of position of an object in any direction. Speed is measured as the ratio of distance to the time in which the distance was covered. Speed is a scalar quantity as it has only direction and no magnitude.There are four types of speed which are uniform speed, variable speed, average speed, and instantaneous speed.

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To calculate the increase in system thermal energy for a 3 kg wooden block sliding 5m down a wooden incline at constant velocity, follow these steps:

1. Determine the angle of the incline:

Unfortunately, the angle of the incline is not provided in the question. Let's assume the angle is θ.

2. Calculate the gravitational force acting on the block:

The gravitational force (Fg) can be calculated using the formula

Fg = m * g,

where

m is the mass of the block (3 kg) and

g is the acceleration due to gravity (9.8 m/s²).

So, Fg = 3 kg * 9.8 m/s²

           = 29.4 N.

3. Calculate the component of the gravitational force acting parallel to the incline:

The parallel component of the gravitational force (F_parallel) can be calculated using the formula F_parallel = Fg * sin(θ).

4. Determine the work done by the parallel component of the gravitational force:

The work done (W) can be calculated using the formula

W = F_parallel * d,

where

d is the distance the block slides down the incline (5m).

5. Calculate the increase in system thermal energy:

Since the block is sliding at constant velocity, the work done by the parallel component of the gravitational force is equal to the increase in system thermal energy. So, ΔE_thermal = W.

To find the exact value for the increase in system thermal energy, the angle of the incline (θ) is needed.

However, based on the information provided and the steps outlined above, you can calculate the increase in system thermal energy once the angle is known.

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Answer:

Explanation:

Gather information on the exact place and time of your birth.

Choose a Western birth chart calculator for the simplest approach.

Try a Eastern sidereal calculator for a deeper dive into planetary cycles.

Enter your time and place of birth into the calculator.

Study what each planet means.

The increase in potential energy when a weight lifter raises an 18 kg stone to a height of 20m is 3,528 joules.

To calculate the increase in potential energy, we use the formula: Potential Energy = mass * gravity * height. In this case, the mass of the stone is 18 kg, the acceleration due to gravity is approximately 9.8 m/s^2, and the height is 20m.

Therefore, the potential energy = 18 kg * 9.8 m/s^2 * 20m = 3,528 joules.

Potential energy is the energy an object possesses due to its position in a gravitational field. When the stone is lifted to a higher height, its potential energy increases because it now has the potential to do work if released or if converted into another form of energy, such as kinetic energy. The increase in potential energy is directly proportional to the mass of the object, the acceleration due to gravity, and the height it is lifted.

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Answer:

200 =/-5%.

Explanation:

This method of specifying accuracy seems odd to me. Since it is unclear I will assume that you really mean +/-2% of full scale. I will also assume that you are speaking of an analog meter because digital meters require a percentage and a count to specify accuracy. This makes that real accuracy a bit more complicated.

You are using a 500 volt range. At +/-2% this means +/- 10 volts. If your scale reading is 200 volts you may assume that the “real” value is between 190 volts and 210 volts. If you want to express the error in terms of the reading it would be 200 =/-5%.

Accuracy is expressed in different ways for convenience and marketing reasons. Here is a table to convert the various ways accuracy is expressed.

Answer:

Explanation:

voltmeter reading or measured value \(V_m = 200v\)

Full scale of voltmeter \(V_{ps} = 500v\)

Therefore,

Absolute error = True value - measured value

where

True value \(V_t = V_m{^+_- error\)

Absolute error = \(GAE * V_{ps\)

where

\(GAE = \frac{100-accuracy}{100}\\\\GAE = \frac{100-98}{100}\\\\GAE = 0.02 or 2\%\)

Therefore,

\(Absolute error = 2\% * V_s\\\\Absolute error = \frac{2}{100} * 500\\\\Absolute error = ^+_-10v\)

B) \(\%\) of error reading in A = limiting error

\(= \frac{Absolute error}{V_m} * 100\\\\= \frac{10}{200} * 100\\\\= ^+_-5\%\)

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The kettle with 3kW power taking 3 minutes to boil 500 cm³ of water perform a work of 540 KJ which is equivalent to the energy transferred by the kettle.

Power is the rate of work done by an object. Thus, power is the rate of work done. Work done on a body is equivalent to the energy of the body. Thus power is rate of energy too.

If a force applied on a body results in displacement, it is said to be work done on the body. The ratio of work done to the time is the power of the object.

P = w/t

then w = P t

Given that P = 3 kW for 3 minutes

3 minutes = 180 seconds

Then w = E = 3 × 180 = 540 KJ

Therefore, the energy transferred by the 3kW kettle in 3 minutes is 540 KJ.

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Answer:

Explanation:

The potential energy of a body can be found by using the formula

PE = mgh

where

m is the mass

h is the height

g is the acceleration due to gravity which is 10 m/s²

From the question we have

PE = 66 × 10 × 4.8 = 3168

We have the final answer as

Hope this helps you

The total mass of the protons and neutrons in a potassium-39 nucleus is 6.5307 x 10^-26 kilograms.

The mass of a potassium-39 nucleus can be calculated based on the total mass of its protons and neutrons. Potassium-39 is a stable isotope of potassium with 19 protons and 20 neutrons in its nucleus. The mass of a proton is approximately 1.6726 x 10^-27 kilograms, and the mass of a neutron is approximately 1.6749 x 10^-27 kilograms.

Therefore, the total mass of the protons in a potassium-39 nucleus is 19 x 1.6726 x 10^-27 = 3.18094 x 10^-26 kilograms. The total mass of the neutrons in a potassium-39 nucleus is 20 x 1.6749 x 10^-27 = 3.3498 x 10^-26 kilograms.

The total mass of the protons and neutrons in a potassium-39 nucleus is therefore 3.18094 x 10^-26 + 3.3498 x 10^-26 = 6.5307 x 10^-26 kilograms. This is the expected mass of a potassium-39 nucleus, based on the total mass of its protons and neutrons.

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Given:

The initial height of the ball, h=1.6 m

The initial speed of the ball, u=14 m/s

To find:

a) The time of flight of the ball.

b) The range of the ball.

Explanation:

As the ball is thrown horizontally, the ball will have no vertical component of the initial velocity. The velocity of the ball is completely horizontal.

Thus the vertical component of the initial velocity of the ball is u_y=0 m/s.

The horizontal component of the initial velocity of the ball is u_x=u=14 m/s.

a)

From the equation of motion,

Where g is the acceleration due to gravity and t is the time of flight of the ball.

On substituting the known values,

b)

The range of the ball is given by,

On substituting the known values,

Final answer:

a) The time of flight of the ball is 0.57 s

b) The range of the ball is 7.98 m

Assuming that the small shell is a conductor and in electrostatic equilibrium, the total charge on the inner surface of the small shell will be zero.

In electrostatic equilibrium, charges distribute themselves on the outer surface of a conductor, and the electric field inside a conductor is zero.

As a result, any charges present on the inner surface of the small shell would experience a repulsive force and redistribute themselves until the electric field becomes zero inside the conductor.

Therefore, with the assumption that the small shell is a conductor in electrostatic equilibrium, the total charge on its inner surface would be zero.

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To determine the age of a star cluster, scientists use various methods, including isochron dating [age determination methods]. By analyzing the properties of the stars within the cluster, such as their brightness, color, and composition, astronomers can estimate the cluster's age.

The age estimation of a star cluster is based on the concept of stellar evolution. Stars within a cluster are believed to form around the same time from the same molecular cloud. As they age, stars undergo changes in their properties, such as their luminosity and temperature. By comparing these properties to theoretical models of stellar evolution, astronomers can construct isochrones, which are curves that represent the expected positions of stars at different ages in an Hertzsprung-Russell diagram.

By fitting the observed properties of stars in a cluster to the isochrones, astronomers can determine the age of the cluster. This process involves analyzing the main sequence turn-off point, which is the point where stars start evolving away from the main sequence as they exhaust their nuclear fuel. The position of the main sequence turn-off point provides a crucial indicator of the cluster's age.

In summary, the age of a star cluster can be estimated by studying the properties of its stars and comparing them to theoretical models of stellar evolution, using methods such as isochron dating.

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Answer: The pressure at the bottom : 19600 N/m²

Answer: A) and D)

Explanation:

Katy slows from 6.7 m/s to 2.3 m/s in 2.2 seconds. The acceleration will be 2 \(m/s^{2}\)

initial speed = 6.7 m/s

final speed = 2.3 m/s

time = 2.2 seconds

acceleration = change in speed / time interval

                      = 2.3 - 6.7 / 2.2

                      = -2 \(m/s^{2}\)

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Explanation:

The original acceleration is:

∑F = ma

10 N = (5 kg) a

a = 2 m/s²

If the mass is tripled, the new acceleration is:

∑F = ma

10 N = (15 kg) a

a = 0.67 m/s²

The acceleration is reduced by a factor of 3.

Answer:

1.35 miles per second

Explanation:

1 step it depende the way and hight he is

2 step the mass of the brick it depends

3 if it was triplet the acceleration it would be 1.50

On a cold winter night, a story comes on the news at stations across the northern part of Florida recommending that residents turn on their outside faucets to allow a slow drip of water. It would that be recommended because it prevents the water from bursting the pipes.

Option D is correct.

During freezing temperatures, one of the things that you can do in order to prevent water from freezing and bursting the pipes is to run your faucet because  running water does not freeze as easily as standing water, so letting it drip overnight will help.

The body faces the effects when subjected to freezing temperatures as it the body begins to lose heat faster than it can be produced. Prolonged exposure to cold will eventually use up your body's stored energy. The result is hypothermia, or abnormally low body temperature.

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Therefore, this reaction's internal energy change is -2850 J. This indicates a loss of 2850 J in the system's internal energy.

The definition defined energy as that of the "power to accomplish work" refers to the capacity to apply a force that moves an object. Kinetic energy and potential energy are the two categories of energy. The quantitative characteristic that is transferred to the a body or into a physical process in physics is energy, which is visible in the performance of labor as well as in form of heat and light. Energy is a resource that is conserved; it can only be changed through one form to another and it cannot be produced or destroyed, according to the law of conservation of energy.

According to the formula E = mc2, a body's mass (m) will vary by an amount equal to E/c2 if its energy increases by an amount E (in any form). This equation was developed by Albert Einstein.

Thomas Young coined the term "energy" for the first time in the realm of physics in 1800, but it didn't catch on. Later, Young utilized interference tests to demonstrate that light is indeed a wave.

The equation: can be used to determine the internal energy change for a reaction.

ΔU = Q - W

where U represents the change in internal energy, Q represents heat added to or released from the system, and W represents work performed by or on the system.

Since it is being released into the environment, the heat contributed to the system in this instance is -2290 J, and the work performed by the system is 560 J. Consequently, the internal energy change can be determined as follows:

ΔU = Q - W

ΔU = -2290 J - 560 J

ΔU = -2850 J

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Answer:

B.

Goals are scored by kicking the ball through goalposts.

Explanation:

Answer:

Newton's first law of Inertia.

Explanation:

This explains how a magician is able to remove a tablecloth from under dishes and glasses on the table without disturbing them. Because of the mass of the object, it remains in inertia. The Tablecloth, in this trick, is slippery so that it does not have any real friction with glasses and dishes.

Answer:

90 mAmps

Explanation:

V=IR

V/R = I

9 v / 100 ohm = .09 amps = 90 mAmps

Velocity is the speed and the direction of motion of an object. Velocity is a fundamental concept in kinematics, the branch of classical mechanics that describes the motion of bodies.

A ball is thrown down from the height of 20m with initial speed 5 m/s. Initial velocity u = 5 m/s. Height, h = 20 m. Using the formula, h = ut + 1/2gt² Where, g is acceleration due to gravity = 9.8 m/s², we can calculate t.

20 = 5t + 1/2 × 9.8 × t²20 = 5t + 4.9t²

On solving this quadratic equation, t = 2.01 s (approximately). Therefore, the time taken by the ball to hit the ground is 2.01 s.

Just before it lands, its velocity is given by the formula v = u + gtAt t = 2.01 s, v = 5 + 9.8 × 2.01v = 24.19 m/s (approximately). So, the velocity of the ball just before it lands is 24.19 m/s.

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The angle of the incline is approximately 56.9 degrees.

To determine the angle of the incline, we need to use some basic physics equations related to work, power, and energy.

Firstly, we know that the box is moving up the incline at a constant speed, which means that the net force acting on it must be zero. Since there is no friction, the only force acting on the box is its weight, which is given by:

F = m * g

Where F is the force, m is the mass of the box, and g is the acceleration due to gravity. Substituting the given values, we get:

F = 1000 kg * 9.8 m/s^2

= 9800 N

Next, we need to determine the work done by the motor to move the box up the incline. Since the box is moving at a constant speed, the work done must be equal to the power supplied by the motor multiplied by the time taken. Using the given values, we get:

Work = Power * Time

Work = 30 W * 3600 s

= 108000 J

Finally, we can use the concept of potential energy to relate the work done to the change in height of the box. The potential energy of an object is given by:

PE = m * g * h

Where PE is the potential energy, h is the height above some reference level, and all other variables are as defined above. Since the box is moving up a frictionless incline, its potential energy is increasing by an amount equal to the work done by the motor. Thus, we have:

Work = PE_final - PE_initial

PE_final = m * g * h_final

PE_initial = m * g * h_initial

Substituting the given values, we get:

108000 J = 1000 kg * 9.8 m/s^2 * (h_final - h_initial)

Since the box is moving up the incline, its final height must be greater than its initial height. Dividing both sides by 1000 * 9.8, we get:

h_final - h_initial = 11.02 m

Now, we can use trigonometry to relate the height difference to the angle of the incline. Since the box is moving a horizontal distance of 13 m, we have:

sin(theta) = (h_final - h_initial) / 13

sin(theta) = 11.02 / 13

theta = sin^-1(11.02 / 13)

theta = 56.9 degrees (rounded to one decimal place)

Therefore, the angle of the incline is approximately 56.9 degrees.

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On a foggy night it is usually difficult to see the road when high beam headlights are on because of the scattering of light. The high beam light is the main cause of this issue since the light beams produced by high beam headlights have a wide light cone and are generally too bright for the foggy conditions.

Fog droplets in the air reflect the high beam light, making it impossible for the human eye to see beyond the fog. This is why low beam headlights should be used in foggy conditions

An intense storm of tropical origin that forms over the Pacific Ocean adjacent to the west coast of Mexico would be called a hurricane. Hurricanes are tropical storms that form over warm ocean water. When a storm's sustained winds exceed 74 mph, it is classified as a hurricane.

4. In a valley, you would normally expect pollutants to be most concentrated in the early morning. During the early morning hours.

5.  This layer is characterized by strong vertical air motions, which promote mixing and dispersion of pollutants. As the day progresses and the ground warms up, the mixing layer deepens, and pollutants are dispersed over a larger volume of air.

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As the velocity of a stream carrying a mixture of particles decreases, the heaviest particles will most likely be deposited first. This phenomenon is known as sedimentation.

The process of sedimentation separates particles of different sizes and densities from a mixture by allowing them to settle at different rates due to gravity. The heavier particles settle faster than lighter ones. Therefore, they are the first to be deposited.Sedimentation can occur naturally or artificially. For example, in a river, sedimentation can occur naturally due to changes in water flow and velocity. Artificial sedimentation can be used in water treatment plants to remove impurities from water

The heaviest particles will most likely be deposited first as the velocity of a stream carrying a mixture of particles decreases.Explanation: This is due to the process of sedimentation, which separates particles of different sizes and densities from a mixture by allowing them to settle at different rates due to gravity. The heavier particles settle faster than lighter ones, and hence they are the first to be deposited.

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