Assume that 3-phase 400 KW Induction Motor (60 Hz, 4160 V, Y- connected) has a full load efficiency of 80% and a lag power factor of 0.8 and it is connected to secondary circuit. If it desired to correct the power factor of the load to lagging power factor of 0.95 by connecting 3 capacitors at the load determine the following [3 Marks] a) The rating of the capacitor bank in KVAr b) The capacitance of each unit if the capacitors connected in delta c) The capacitance of each unit if the capacitors connected in star

A boy spins a top on a table. he can increase the total energy of this

system by spinning the top faster. Option C

This is further explained below.

Generally, The whole end consumption of energy at a certain branch or variable is referred to as "Total Energy."

Total energy is distinguished from Final Energy Intensity by the fact that data pertaining to energy is entered directly; more specifically, the total energy is not stipulated as the product of an activity level and energy intensity.

This means that total energy is not the same as Final Energy Intensity.

In conclusion, On a table, a little child is seen spinning a top. By spinning the top at a quicker rate, he will be able to boost the system's overall energy output. Alternative C

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The resistance of the person is 9200 Ω if a fault in the switch is caused by a householder to receive a mild electric shock with the mean power transfer to the person as 5.75 W and potential difference across the person as 230 V.

The resistance of the person can be calculated using Ohm’s law.

Ohm’s law states that the potential difference across a conductor is directly proportional to the current flowing through it, provided that its temperature and other physical conditions remain constant.

It can be expressed as: V = IR,

where V is the potential difference, I is the current, and R is the resistance of the conductor.

Rearranging the equation, we get: R = V/ I.

Given that the mean power transfer to the person was 5.75 W and the potential difference across the person was 230 V, the current flowing through the person can be calculated using the formula:

P = IV

where P is the power ,V is the potential difference and I is the current flowing through the person

Rearranging the equation, we get: I = P/V

Substituting the given values, we get:

I = 5.75/230 = 0.025 A

Therefore, the resistance of the person can be calculated as:

R = V/I = 230/0.025 = 9200 Ω

Hence, the resistance of the person is 9200 Ω.

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The earth has a curved surface. This statement explains this observation.

Due to the curvature of the Earth's surface, the spacecraft seems to drop beyond the horizon as it travels away from the spectator. An object's apparent descent below the horizon increases with increasing distance. On the open ocean, where there are no other things to serve as a reference point for the spectator, this impact is more obvious.

Because of the spherical form of the Earth, when viewed from a great distance, the surface curves away from the observer's line of sight. Ships, buildings, and other distant objects appear to drop beyond the horizon due to a phenomenon known as the "curvature of the Earth".

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About 1,360 watts per square meter

At Earth's average distance from the Sun (about 150 million kilometers), the average intensity of solar energy reaching the top of the atmosphere directly facing the Sun is about 1,360 watts per square meter, according to measurements made by the most recent NASA satellite missions.

At 0.0804 km altitude the 1% of the mass of the atmosphere lies above and 99% of the mass lies below. Assumptions made are the global mean surface pressure of 1000 hPa is a representative value and the scale height is assumed to be constant throughout the entire atmosphere.

First, we need to calculate the pressure at the desired percentiles (1% and 99%) relative to the surface pressure.

For 1% of the mass lying above, we consider the pressure to be 1% of the surface pressure:

1% of 1000 hPa = 0.01 × 1000 hPa

= 10 hPa.

For 99% of the mass lying below, we consider the pressure to be 99% of the surface pressure:

99% of 1000 hPa = 0.99 × 1000 hPa

= 990 hPa.

Next, we use the exponential relationship between pressure and altitude:

P = P0 × exp(-z/H),

where P is the pressure at a given altitude, P0 is the surface pressure, z is the altitude, and H is the scale height.

To find the altitude z at which the pressure is equal to 10 hPa (1% of the surface pressure), we rearrange the equation:

10 hPa = 1000 hPa × exp(-z/H).

Taking the natural logarithm (ln) of both sides, we have:

ln(10 hPa / 1000 hPa) = -z / H.

ln(0.01) = -z / 8 km.

z = -8 km × ln(0.01).

Evaluating the expression:

z = -8 km × (-4.605)

= 36.84 km.

Therefore, 1% of the mass of the atmosphere lies above an altitude of approximately 36.84 km.

Similarly, to find the altitude z at which the pressure is equal to 990 hPa (99% of the surface pressure), we follow the same procedure:

990 hPa = 1000 hPa × exp(-z/H).

ln(990 hPa / 1000 hPa) = -z / H.

ln(0.99) = -z / 8 km.

z = -8 km × ln(0.99).

Evaluating the expression:

z = -8 km × (-0.01005)

= 0.0804 km.

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This question involves the concepts of turns ratio and power.

a. The voltage in the secondary circuit is "2.17 V".

b. The power drawn by the primary circuit is "2.71 watt".

c. Power supplied to the secondary circuit is "2.71 watt".

From the turns ratio formula we know that:

\(\frac{N_p}{N_s}=\frac{V_p}{V_s}\\\\V_s = \frac{N_sV_p}{N_p}\)

where,

Therefore,

\(V_s=\frac{(20\ turns)(325\ V)}{3000\ turns}\)

\(V_s = 2.17\ V\)

Electrical power is given by the following formula:

\(P_p = I_pV_p\)

where,

Therefore,

\(P_p=(1.25\ A)(2.17\ V)\\\\P_p = 2.71\ watt\)

Since the transformer is perfectly efficient. It means that the total power drawn by the primary circuit is supplied to the secondary circuit.

\(P_s=P_p\\\\P_s=2.71\ watt\)

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a. The total momentum of the system before the collision is 0.027 kg·m/s.

b. The total momentum of the system after the collision is also 0.027 kg·m/s.

c. The velocity of the gum/box combination after the collision is approximately 0.509 m/s.

a. The total momentum of the system before the collision is the sum of the momentum of the gum and the momentum of the box.

Momentum = mass × velocity

For the gum: Momentum_gum = 0.003 kg × 9 m/s = 0.027 kg·m/s

For the box: Momentum_box = 0.05 kg × 0 m/s (since the box is stationary) = 0 kg·m/s

Total momentum before the collision = Momentum_gum + Momentum_box = 0.027 kg·m/s.

b. After the collision, the gum and the box stick together and move as one combined mass. The total momentum of the system after the collision is the momentum of the combined mass.

Combined mass = mass of gum + mass of box = 0.003 kg + 0.05 kg = 0.053 kg

Total momentum after the collision = Combined mass × velocity after collision

c. To find the velocity of the gum/box combination after the collision, we can use the law of conservation of momentum, which states that the total momentum before the collision is equal to the total momentum after the collision.

Total momentum before the collision = Total momentum after the collision

0.027 kg·m/s = 0.053 kg × velocity after collision

Now, solve for the velocity after the collision:

velocity after collision = 0.027 kg·m/s / 0.053 kg ≈ 0.509 m/s.

So, the velocity of the gum/box combination after the collision is approximately 0.509 m/s.

Complete Question: Bob throws a sticky piece of gum at a stationary cardboard box. The gum has a mass of 0.003 kg and the box has a mass of 0.05 kg. The gum hits the box with a speed of 9 m/s, and they stick together and slide forward.

a. What is the total momentum of the system before the collision?

b. What is the total momentum of the system after the collision?

c. What is the velocity of the gum/box combination after the collision?

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The kind of an element which the element described in Problem 25 (Its atomic mass is 3 times that of oxygen.) include the following: E. metal.

A chemical element can be defined as a pure substance that comprises atoms having the same atomic number (number of protons) in its nuclei and as such, it is the primary constituent of matter. Also, a common characteristics for all chemical elements found on the periodic table is mass and volume.

In Chemistry, some examples of a chemical element include the following:

Additionally, the atomic mass of oxygen and titanium are 16 and 48 respectively. This ultimately implies that, titanium is a metallic element (metal) with an atomic mass that is three (3) times greater than that of oxygen.

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Answer:

the gravitational force

Answer:

Technician B is correct by saying that the larger diameter (i.e the conductor's diameter), the less resistance it has.

Explanation:

According to the law of electrical resistance, the resistance of a metallic conductor is proportional to the length of the conductor, but inversely proportional to the cross-sectional area of the conductor.

\(R = p\frac{l}{A}\)

where R is the resistance of the conductor.

p is the intrinsic resistivity of the material with which the conductor is made.

l is the length of the conductor.

A is the cross-sectional area of the conductor.

This law simply means that if we increase the length of a conductor, or reduce the area, the electrical resistance of the conductor will increase, and vice versa.

Technician B is correct by saying that the larger diameter (i.e the conductor's diameter), the less resistance it has.

This is because the area of the conductor is proportional to the cross-sectional area. And the larger the cross-sectional area of a conductor, the lesser its resistance will be.

Main AnswerThe fraction of the block submerged can be calculated as follows;Let Vblock be the volume of the block, and let Vdisp be the volume of the block that is displaced by the liquid.Using Archimedes principle, we can find the fraction, VdispVblock, of the block submerged as follows:VdispVblock=density of the objectdensity of the liquid...Equation (1)

ExplanationWe are given the density of the object and the density of the liquid. We know that the volume of the liquid displaced is equal to the volume of the object that is submerged in the liquid.We can use the following equation to find the volume of the block that is submerged in the liquid:Volume of the block submerged = Vblock x VdispVblock...Equation (2)Since the density of the object is 0.8 g/cm3, and the density of the liquid is 2.7 g/cm3, we can find the fraction, VdispVblock, of the block submerged by substituting the values in equation

(1).Therefore;VdispVblock=0.8 g/cm32.7 g/cm3=0.296...Substituting this value in equation (2), we can find the volume of the block submerged:Volume of the block submerged = Vblock x 0.296...We can also write this as:Vdisp = Vblock x 0.296...Now, we know that the volume of the liquid displaced is equal to the volume of the block that is submerged in the liquid. Therefore, we can write:Vdisp = Vsubmerged = Vblock x 0.296...Hence, the fraction of the block submerged is 0.296 or 29.6%. Therefore, the main answer is as follows;The fraction, VdispVblock, of the block submerged is 0.296 or 29.6%.

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Answer:

The Earth is massive enough that the pull of gravity maintains its roughly spherical shape. Most of its deviation from spherical stems from the centrifugal force caused by rotation around its north-south axis. This force deforms the sphere into an oblate ellipsoid.

The net momentum of the system before the collision is given by the expression: Momentum before = m1v1 + m2v2where m1 and v1 are the mass and velocity of the cue ball respectively and m2 and v2 are the mass and velocity of the eight ball respectively.

Substituting in the given values, we have:Momentum before = (0.6 kg) (3.0 m/s) + (0.55 kg) (2.0 m/s) = 1.80 kg m/s + 1.10 kg m/s = 2.90 kg m/s. The net momentum of the system after the collision is given by the expression:Momentum after = m1v1' + m2v2'where v1' and v2' are the velocities of the cue ball and eight ball respectively after the collision.

Substituting in the given values, we have: Momentum after = (0.6 kg) (2.0 m/s cos 40°) + (0.55 kg) (v2')Momentum after = 1.20 cos 40° kg m/s + (0.55 kg) (v2')Momentum after = 0.92 kg m/s + 0.55 kg v2'Conservation of momentum principle states that the total momentum before the collision must equal the total momentum after the collision: Momentum before = Momentum after2.90 kg m/s = 0.92 kg m/s + 0.55 kg v2'Solving for v2', we get:v2' = (2.90 kg m/s - 0.92 kg m/s) / 0.55 kgv2' = 4.71 m/s.

The north component (y-component) of the momentum of the cue ball after collision is given by the expression:py = m1v1' sin θSubstituting the given values, we have:py = (0.6 kg) (2.0 m/s sin 40°)py = 0.78 kg m/sTherefore, the final velocity of the eight ball is 4.71 m/s.

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The mass of Planet Z can be determined using the formula for the acceleration due to gravity. The free-fall acceleration 1900 km above Planet Z's north pole can be calculated by considering the change in distance from the planet's center.

To calculate the mass of Planet Z, we can use the formula for acceleration due to gravity, which states that the acceleration is directly proportional to the mass and inversely proportional to the square of the distance from the center of the planet. Given that the diameter of Planet Z is 9000 km, we can calculate the radius by dividing the diameter by 2. Using the formula for acceleration due to gravity, we can solve for the mass of the planet.

To determine the free-fall acceleration 1900 km above Planet Z's north pole, we need to consider the change in distance from the planet's center. Since the free-fall acceleration is inversely proportional to the square of the distance, we can calculate the new acceleration by substituting the new distance into the formula. By considering the distance above the planet's north pole, we can find the corresponding free-fall acceleration at that point.

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Power Formula

P = E t.

P = W t.

P = V 2 R.

We can determine the number of patients needed to prevent a type I or type II mistake by using power calculations. Any estimates of sample size in research are sometimes referred to as having "power." In a comparison research, the term "power" strictly refers to the quantity of patients needed to prevent a type II mistake.

This indicates that only 80 out of 100 statistical tests will really find real effects assuming there are any to be found in 100 distinct studies with 80% power. If you don't make sure your study has enough power, it could not even be able to find a real impact.

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The 3 formulas for power are P = E t, P = W t, P = V 2 R.

Power calculations can be used to estimate the number of patients required to avoid a type I or type II error. Any sample size estimations are commonly referred to as having "power" in research. The number of patients required to stop a type II error is the only definition of "power" in a comparison study.

This means that, if there are any meaningful effects to be identified in 100 different studies with 80% power, only 80 out of 100 statistical tests will really detect them. Your study might not even be able to detect a true impact if you don't ensure that it has sufficient power.

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Answer:

Explanation:

Answer:

1.An object at rest has zero velocity - and (in the absence of an unbalanced force) will remain with a zero velocity. Such an object will not change its state of motion (i.e., velocity) unless acted upon by an unbalanced force.

3.Let speed of balls are v

1

and v

2

.

There is no external force acting, momentum will be conserved.

m

1

u

1

+m

2

u

2

=m

1

v

1

+m

2

v

2

⇒m×6−m×6=mv

1

+mv

2

⇒v

1

=−v

2

Coefficient , e=−

u

1

−u

2

v

1

−v

2

⇒

3

1

=−

6+6

v

1

−v

2

⇒v

1

=−2m/sWhen two objects with the same mass collide, Newton's laws tell us that they will accelerate the same amount but in opposite directions.

Collision Forces - 5/5

1. A) Motion will be either created, stopped or changed.

2. D) 5,208 N

3. B) the mass and acceleration of each person

4. C) balanced forces

5. B) 13.125 N to the right

Hope this helps ya out peeps!

One of the best ways to protect yourself from excessive exposure to radiation is to avoid unnecessary exposure. If possible, avoid getting X-rays or other types of radiation when they are not medically necessary. However, if you do need to get an X-ray, make sure it is done by a licensed professional who will take the necessary precautions to limit your exposure.

Radiation can be harmful to the human body, and exposure to excessive radiation can lead to serious health problems such as cancer and radiation sickness. Therefore, it is essential to protect yourself from excessive exposure to radiation.

Finally, increasing your distance from the source of radiation can also help protect you from excessive exposure. The further away you are from the source of radiation, the less exposure you will receive. Therefore, if you work in an environment where you are exposed to radiation, try to keep as much distance between yourself and the source as possible.

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Answer:

1. The first step in this process involves the conversion of sound waves into electrical signals, which are then amplified to produce a stronger signal.

2. The amplified signal is then passed through a series of filters and equalizers to adjust the frequency and tonality of the sound.

3. The final step involves the conversion of the analog signal back to sound waves through the use of a speaker or headphones.

Explanation:

Each step in this process is critical in producing high-quality analog sound recordings and requires careful attention to detail and precision.

I apologize if I did not answer this correctly. If you would like a different answer, please comment and let me know. :)

Answer:

Answer:- Volume of the balloon is 5.78 L.

Solution:- There are 0.24 moles of hydrogen gas in a balloon at 35 degree C and 1.05 atm pressure. It asks to calculate the volume of the balloon.

This problem is based on ideal gas law equation:

P = 1.05 atm, n = 0.24 mole, T = 35 + 273 = 308 K

R =

V = ?

The equation could be rearranged for the volume as:

Let's plug in the values and do the calculations to get the volume of the balloon:

V = 5.78 L

So, the volume of the gas balloon is 5.78 L.

Answer:

the answer is 1, oil and water

Answer:

It is oil and water i took the quiz and got it correct !

Hope this helps you! :D

Answer:

20 N/m

Explanation:

From the question,

The ball-point pen obays hook's law.

From hook's law,

F = ke............................ Equation 1

Where F = Force, k = spring constant, e = compression.

Make k the subject of the equation

k = F/e........................ Equation 2

Given: F = 0.1 N, e = 0.005 m.

Substitute these values into equation 2

k = 0.1/0.005

k = 20 N/m.

Hence the spring constant of the tiny spring is 20 N/m

The distance between P and Q is 11.2 km.

From the figure, we can find that,

∠PQT = 90°- 47°.

a) Consider the right-angled triangle ΔQPT,

tan(PQT) = PT/PQ

tan 43° = 12/PQ

Therefore,

PQ = 12/tan43°

PQ = 12/0.932

PQ = 11.2 km

b) Consider the right-angled triangle ΔPQR,

PQ = 11.2 km

PR = 16 km

Applying Pythagorean theorem,

QR = √(PR²- PQ²)

QR = √(16²- 11.2²)

QR = √130.56

QR = 11.4 km

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Attaching the image file here.

The strength of the magnetic field at the centrer of coil is calculated to be 1.97× 10⁻⁷ Tesla

A magnetic field is a vector field that explains the magnetic impact on moving charges, currents, and magnetic materials. A moving charge in a magnetic field is subjected to a force that is perpendicular to both its own velocity and the magnetic field.

We know that for a circular wire the magnetic field at the center is given by

B= μI/2r

Here, μ= 4π×10⁻⁷

I= current flowing= 0.15A

r= radius of the circular wire

In the given question the wire of length 3m is bent into a circular coil of one turn.

So, the circumference of coil will be equal to the length of the coil.

Length= circumference= 2πr

2πr= 3m        (π≅3.14)

r=  \(\frac{3}{2* 3.14}\)= 0.477 m

Now putting the value of r= 0.477 m in magnetic field formula we get

B= \(\frac{4\pi }{2* 0.477}\)×10⁻⁷

B= 1.97× 10⁻⁷ Tesla

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Answer:

The conservation of energy is a principle where according to which the energy of interacting bodies or particles in a closed system remains constant.

Explanation:

Answer:

a principle stating that energy cannot be created or destroyed, but can be altered from one form to another.

The pattern formed by iron filings around magnets shows the magnetic field lines produced by the magnets.

Magnetic field lines are described as imaginary lines, which depict the strength and direction of the magnetic field.

The iron filings align themselves along the magnetic field lines, which helps to provide a visual representation of the field's direction and shape. The filings tend to concentrate near the poles of the magnets, where the magnetic field is stronger.

This pattern is important as it helps visualize the magnetic field and understand its characteristics, such as the shape, direction, and strength of the magnetic field produced by the magnets.

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Answer + Explanation:

B

She can measure the volume and mass of the marble, the volume and mass of the water, and the mass of the graduated cylinder.

Hope This Helped :D

The average acceleration of the runner will be 1.4 m/\(s^{2}\)

An object is said to be accelerated if there is a change in its velocity. The change in the velocity of an object could be an increase or decrease in speed or a change in the direction of motion.

Acceleration is a vector quantity as it has both magnitude and direction. It is also the second derivative of position with respect to time or it is the first derivative of velocity with respect to time.

Average acceleration refers to the rate at which the velocity changes. We divide the change in velocity by an elapsed time to find out the average acceleration of anything.

given

final speed = 14 m/s

initial speed = 0

time taken = 10 seconds

Average acceleration = change in speed / change in time

                                    = final - initial / time

                                    = 14 - 0 / 10 = 1.4 m/\(s^{2}\)

The average acceleration of the runner will be 1.4 m/\(s^{2}\)

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Answer:

c. a and c

Explanation:

ammeters are connected in series to measure charge/current