False. In a balanced 3 wire wye circuit, the grounded neutral conductor is not considered a current carrying conductor. The neutral conductor carries only the unbalanced current resulting from the difference in the currents flowing through the three phase conductors.
The neutral conductor is grounded to provide a reference point for the voltage of the circuit, and to provide a path for the unbalanced current to return to the source.
In a balanced 3 wire wye circuit, the three phase conductors carry equal currents that are 120 degrees out of phase with each other. The voltages of the three phase conductors also differ by 120 degrees, and when they are connected to a load, they produce a balanced three-phase voltage.
The grounded neutral conductor in a 3 wire wye circuit is typically connected to earth ground at the transformer or generator supplying the circuit. The purpose of grounding the neutral conductor is to provide a reference point for the voltage of the circuit, and to provide a path for the return of unbalanced currents. Unbalanced currents can occur when the three phase loads are not equal or when there are single-phase loads connected to the circuit.
When the three-phase loads are balanced, the neutral conductor carries only the unbalanced current, which is the difference in current between the three phase conductors. The magnitude of the unbalanced current is typically small compared to the phase currents, and the neutral conductor is not considered a current-carrying conductor under normal operating conditions.
However, if the circuit becomes unbalanced due to a fault or other abnormal condition, the neutral conductor can carry significant currents that can cause overheating and other problems. For this reason, the neutral conductor must be sized appropriately to handle the maximum expected unbalanced current, and the grounding system must be designed to detect and clear faults quickly.
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Sulfur trioxide is used in many products from explosives to glue. Which two criteria are most important in engineering a process to produce this
compound?
The two most important criteria in engineering a process to produce sulfur trioxide are: Yield and Safety.
What is Yield?
Yield: The process should have a high yield of sulfur trioxide to ensure efficient production and minimize waste. This requires careful consideration of the reaction conditions, such as temperature, pressure, and reactant concentrations, to optimize the yield of sulfur trioxide.
What is Safety?
Safety: The process should be designed with safety in mind to ensure that the production of sulfur trioxide does not pose a risk to workers or the environment. This requires careful consideration of the handling and storage of hazardous materials, such as sulfur dioxide and oleum, and the implementation of appropriate safety measures, such as ventilation systems and personal protective equipment.
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Complete question is: Sulfur trioxide is used in many products from explosives to glue. Yield and Safety criteria are most important in engineering a process to produce this compound.
The scientist who determined the magnitude of the electric charge of the electron wasA) John Dalton. D) Henry Moseley.B) Robert Millikan. E) R. Chang.C) J. J. Thomson
The scientist who determined the magnitude of the electric charge of the electron was Robert Millikan.
The Millikan's Oil Drop Experiment Measuring the Charge of the Electron. The American scientist Robert Millikan 1868–1953 carried out a series of experiments using electrically charged oil droplets, which allowed him to calculate the charge on a single electron. J. J. Thomson discovered electron, but he could only deduce the charge to mass ration but Robert Millikan through his oil drop experiment found the value of charge on electron. The oil drop experiment was perhaps the most famous scientific work of Robert Millikan's career. While at the University of Chicago, he worked with one of his graduate students, Harvey Fletcher, to attempt to measure the charge of an electron.
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A 50 kg sprinter, starting from rest, runs 50m in 7.0s at constant acceleration.a. What is the magnitude of the horizontal force acting on the sprinter?b. What is the sprinter’s power output at 2.0 s, 4.0 s, and 6.0s?
The magnitude of the horizontal force acting on the sprinter is 56 N, the sprinter's power output at 2.0 s is 125.44 W, at 4.0 s is 251.68 W, and at 6.0 s is 376.32 W.
a. To find the magnitude of the horizontal force acting on the sprinter, we can use the following kinematic equation:
[tex]d = 0.5 * a * t^2[/tex]
where d is the distance traveled (50m), t is the time taken (7.0s), and a is the acceleration of the sprinter.
Solving for a, we get:
[tex]a = 2 * d / t^2[/tex]
[tex]= 2 * 50m / (7.0s)^2[/tex]
[tex]= 1.12 m/s^2[/tex]
Next, we can use Newton's second law of motion, which states that the net force acting on an object is equal to its mass times its acceleration:
F_net = m * a
Substituting the values, we get:
[tex]F_net =[/tex][tex]50kg * 1.12 m/s^2[/tex]
= 56 N
Therefore, the magnitude of the horizontal force acting on the sprinter is 56 N.
b. The power output of the sprinter can be calculated using the following formula:
P = F * v
where P is the power, F is the force, and v is the velocity.
At 2.0 s:
The sprinter's velocity can be found using the following kinematic equation:
v = a * t
where a is the acceleration found earlier [tex](1.12 m/s^2)[/tex], and t is the time taken (2.0 s).
Substituting the values, we get:
[tex]v = 1.12 m/s^2 * 2.0 s= 2.24 m/s[/tex]
Using the formula for power, we get:
[tex]P = 56 N * 2.24 m/s= 125.44 W[/tex]
Therefore, the sprinter's power output at 2.0 s is 125.44 W.
At 4.0 s:
The sprinter's velocity can be found using the same kinematic equation as before:
v = a * t
Substituting the values, we get:
[tex]v = 1.12 m/s^2 * 4.0 s= 4.48 m/s[/tex]
Using the formula for power, we get:
[tex]P = 56 N * 4.48 m/s= 251.68 W[/tex]
Therefore, the sprinter's power output at 4.0 s is 251.68 W.
At 6.0 s:
The sprinter's velocity can be found using the same kinematic equation as before:
v = a * t
Substituting the values, we get:
[tex]v = 1.12 m/s^2 * 6.0 s= 6.72 m/s[/tex]
Using the formula for power, we get:
[tex]P = 56 N * 6.72 m/s= 376.32 W[/tex]
Therefore, the sprinter's power output at 6.0 s is 376.32 W.
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the size of a neutron star is group of answer choices about the same as that of our solar system. about the same as that of the sun. about the same as earth. smaller than any of these.
The size of a neutron star is smaller than any of the given answer choices.
A neutron star is an extremely dense object that is formed from the collapsed core of a massive star that has undergone a supernova explosion. The mass of a neutron star is typically 1.4 times that of our Sun, but its size is only about 20 km in diameter, making it one of the most compact objects in the universe.
To put this into perspective, the diameter of our solar system is about 287 billion km, the diameter of the Sun is about 1.4 million km, and the diameter of the Earth is about 12,742 km. Therefore, a neutron star is much smaller than any of these objects, and its mass is packed into a space that is comparable in size to a medium-sized city.
In conclusion, a neutron star is much smaller than any of the given answer choices, with a diameter of only about 20 km.
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A neutron star is a very compact and incredibly dense object formed from the core of a massive star after a supernova explosion.
1) Our solar system is vast, spanning a distance of over 100 astronomical units (AU), with the distance between the Sun and the outer planets being several billion kilometers.
In contrast, a neutron star typically has a radius of about 10-15 kilometers, which is much smaller than the distance between any two objects in the solar system.
2) The Sun, on the other hand, is much larger than a neutron star, with a radius of about 696,000 kilometers.
The Earth, which is one of the smaller planets in our solar system, has a radius of about 6,371 kilometers.
Therefore, a neutron star is significantly smaller than both the Sun and the Earth.
3) The size of a neutron star is determined by its mass and density, which are both extremely high.
A typical neutron star has a mass of about 1.4 times that of the Sun, but is only about 10-15 kilometers in radius.
This makes it incredibly dense, with a mass-to-volume ratio that is several times higher than that of an atomic nucleus.
In summary, a neutron star is much more massive than the Sun or the Earth, but its size is significantly smaller than both, making it smaller than any of the options given.
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which of the following events would be most likely to have a negative effect on the sexual functioning of a person and contribute to a sexual dysfunction?
A person's sexual functioning and the plot of a sexual dysfunction would most likely be negatively moved if arousal were solved as sexual arousal increases one's arousal to further events.
Sexual dysfunction, among other things, can make it harder to have sex or get sexually excited. It could prevent you from having an orgasm, lead to early ejaculation, or make sexual activity painful.
Disorders of sexual desire/interest, arousal, orgasm, and sexual pain are the four main categories of sexual dysfunction.
Sexual dysfunction affects both men and women frequently. It tends to be created by actual issues and ailments, like coronary illness and chemical uneven characteristics, or by mental issues, similar to tension, wretchedness, and the impacts of past injury.
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Q- Which of the following events would be most likely to have a negative effect on the sexual functioning of a person and contribute to sexual dysfunction?
Traumatic events can cause a person to feel anxious, fearful, and/or ashamed about engaging in sexual activities and can lead to difficulty with arousal, pain during intercourse, and/or difficulty with orgasm.
What is anxious ?Anxious is a feeling of fear, worry, or unease about something in the future. It is a type of emotion that is often accompanied by physical sensations, such as a racing heart, sweating, dizziness, or a feeling of being overwhelmed. Anxiousness can be caused by a variety of factors, such as a stressful situation or environment, worrying thoughts, or physical sensations. It is a normal emotion that everyone experiences, but when it becomes frequent or intense it can interfere with daily life. If anxiety is affecting your daily life, it is important to speak with a mental health professional to find ways to manage it.
A traumatic event such as sexual assault or abuse can have a profound and long-lasting negative effect on a person's sexual functioning and can contribute to the development of a sexual dysfunction.
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calculate the voltage across the capacitor long time (steady state) after switch has closed. what is the voltage across the capacitor at t
When a switch is closed in a circuit containing a capacitor, the capacitor starts to charge up. As time goes on, the voltage across the capacitor increases until it reaches a steady state.
In steady state, the voltage across the capacitor remains constant and does not change anymore.
To calculate the voltage across the capacitor at steady state, we need to use the formula:
[tex]Vc = Vs(1 - e^{(-t/RC)})[/tex]
Where Vc is the voltage across the capacitor, Vs is the source voltage, t is time, R is the resistance in the circuit, and C is the capacitance of the capacitor.
In steady state, the capacitor is fully charged, and the voltage across the capacitor is equal to the source voltage. This means that:
Vc = Vs
Therefore, at steady state, the voltage across the capacitor is equal to the source voltage.
At any time t, we can use the formula above to calculate the voltage across the capacitor. However, at steady state, the voltage across the capacitor does not change anymore and remains constant.
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What is the minimal force needed to overcome static friction in the first experiment?
The force that opposes an object's motion while it is stationary or not moving in relation to another object or surface is called static friction. The amount of static friction is influenced by a number of variables, such as the coefficient of friction between the materials, the normal force, and the roughness of the surfaces in contact.
You would need to give more specifics, such as the materials used, the surfaces in contact, the angle of the surfaces, and any other pertinent information, in order to establish the minimal force required to overcome static friction in a specific experiment.
Normally, observations or calculations based on the particular conditions and characteristics of the experiment are required to ascertain the minimal force required to overcome static friction in a given experiment. This may entail the use of tools like force gauges or friction testers, as well as the consideration of elements like the contact area, the weight of the involved items, and the properties of the materials in contact.
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How will the water affect the speed at which sounds reach his ears?
A. Water will not affect the speed of sound.
B. The sound will travel faster than in air. C. The sound will travel slower than in air.
The answer is C, because water is denser, therefore it will take a longer time to reach the ears
A 110 kg football player runs at 8 m/s and plows into an 80 kg referee that is standing still on the football field. The referee moves forward at 5 m/s.
a. What is the momentum of the football player before the collision?
b. What is the momentum of the referee before the collision?
c. What is the total momentum before the collision? (Hint: add a and b)
d. What is the momentum of the referee after the collision?
e. What must be the momentum of the football player after the collision?
f. Find the football players speed after the collision.
Answer:
See below
Explanation:
(a) Momentum can be solved with the formula: p = mv, where m and v are mass and velocity, respectively. So, p = (110kg) * (8m/s) = 880 kg* m/s
(b) Since v = 0 m/s, p = 0 kg * m/s
(c) The total momentum is 880 + 0 = 880 kg * m/s
(d) pi = pf
880 = 190 *vf -----> vf = 4.631 m/s
p = mv = (80kg) * (4.631 m/s) = 370.53 kg * m/s
(e) p = mv = (110kg) * (4.631 m/s) = 509.47 kg * m/a
(e) 4.631 m/s (as solved in part (d) )
in which of the following situations would energy be conserved?multiple select question.a free falling body with no frictiona car on cruise control traveling in a straight linea free falling body at terminal velocitya moon orbiting a planeta puck sliding on a frictionless surface
The situations, there is no external force acting on the system that would result in a loss of energy. However, in the other situations, energy would not be conserved due to the presence of friction or a change in velocity. - A free falling body with no friction - A moon orbiting a planet- A puck sliding on a frictionless surface.
The case of a car on cruise control traveling in a straight line, there is friction between the tires and the road which results in energy loss. Energy conservation occurs when the total mechanical energy of a system potential energy + kinetic energy remains constant. In the following situations, energy is conserved A free-falling body with no friction in this case, the potential energy of the body is converted into kinetic energy as it falls, and no energy is lost due to friction. A moon orbiting a planet in this situation, the gravitational potential energy and kinetic energy of the moon remain constant as it orbits the planet, as there is no friction in space to dissipate energy. A puck sliding on a frictionless surface Here, the kinetic energy of the puck remains constant since there is no friction to cause energy loss.
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The density of mercury is 13.6 g/cm3. What volume (in quarts) is occupied by 100. g ofHg? (1 L = 1.06 qt)A) 144 qt B) 7.35 qt C) 7.79 qt D) 7.79 × 10-3 qt E) 1.44 × 10-4 qt
The closest answer to this is 7.79 × [tex]10^{-3}[/tex] qt (option D).
The density of mercury is 13.6 g/[tex]cm^{3}[/tex]. To find the volume occupied by 100 g of Hg, first, we need to calculate the volume in cubic centimeters ([tex]cm^{3}[/tex]
) using the formula:
Volume ([tex]cm^{3}[/tex] = mass (g) / density (g/[tex]cm^{3}[/tex])
Volume ([tex]cm^{3}[/tex] = 100 g / 13.6 g/[tex]cm^{3}[/tex] = 7.35 [tex]cm^{3}[/tex]
Now, we need to convert the volume from cubic centimeters to quarts using the given conversion factor (1 L = 1.06 qt). First, convert [tex]cm^{3}[/tex]to liters (1 L = 1000 [tex]cm^{3}[/tex]):
Volume (L) = 7.35 cm3 * (1 L / 1000 [tex]cm^{3}[/tex]) = 0.00735 L
Now, convert liters to quarts:
Volume (qt) = 0.00735 L * (1.06 qt / 1 L) ≈ 0.00779 qt
Therefore the answer is answer is 7.79 × [tex]10^{-3}[/tex] qt
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how do you find the intensity of an electromagnetic wave with a peak?Find the intensity of an electromagnetic wave having a peak magnetic field strength of 4.00×10^−9 T .
The intensity of an electromagnetic wave having a peak magnetic field strength of 4.00×10⁻⁹ T is 1.90×10⁻³ W/m² .
The square of a wave's amplitude determines how strong it is. For instance, the electric field amplitude of an electromagnetic wave is inversely proportional to the wave's strength.
We are looking for the electromagnetic wave's average intensity at a specific peak magnetic field strength.
We may calculate the intensity using the formula: speed of light times magnetic field strength squared divided by two times free space permeability.
The strength of the magnetic field is
B=4.00×10⁻⁹ T
Iavg = CB²/2μ₀
= (3*10⁸m/s²)*(4.00×10⁻⁹ T )/2*(4Π*10⁷ T.m.A⁻¹)
=1.90×10⁻³ W/m²
Thus, the intensity of the electromagnetic wave is 1.90×10⁻³ W/m²
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To find the intensity of an electromagnetic wave with a peak, you need to use the equation:
Intensity = (Peak Magnetic Field Strength)^2 / (2*Permeability of Free Space)
Where Permeability of Free Space is a constant equal to 4π x 10^-7 Tm/A.
Substituting the given values in the equation, we get:
Intensity = (4.00×10^-9 T)^2 / (2 x 4π x 10^-7 Tm/A)
Intensity = 2.01 x 10^-19 W/m^2
Therefore, the intensity of the electromagnetic wave with a peak magnetic field strength of 4.00×10^-9 T is 2.01 x 10^-19 W/m^2.
To find the intensity of an electromagnetic wave with a peak magnetic field strength, you need to use the formula:
Intensity (I) = (c * μ₀ * B²) / 2
where:
- Intensity (I) is the power per unit area in watts per square meter (W/m²)
- c is the speed of light in a vacuum (approximately 3.00 × 10^8 m/s)
- μ₀ is the permeability of free space (4π × 10^−7 T· m/A)
- B is the peak magnetic field strength in tesla s (T)
Given a peak magnetic field strength (B) of 4.00 × 10^−9 T, you can calculate the intensity:
I = (3.00 × 10^8 m/s) * (4π × 10^−7 T·m/A) * (4.00 × 10^−9 T)^2 / 2
I ≈ 1.07 × 10^−11 W/m²
So, the intensity of the electromagnetic wave is approximately 1.07 × 10^−11 W/m².
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A particle of mass 5kg is supported by two strings which makes angles 60° and 30° with the horizontal. Determine the tension of each string [take acceleration due to gravity to be 10m/s^2]
Answer: the tension in the first string is 25N and the tension in the second string is 43.3N.
Explanation:
T1
/\
/ \
/ \
/60° \
/ \
/ \
/_________\
O 5kg T2
30°
The present discussion considers the tensions T1 and T2 acting upon two strings, with a particle denoted as "O" possessing a mass of 5kg under scrutiny.
One may employ Newton's second law to calculate the magnitudes of the tensions present in a system, as it states that the overall force acting upon an object is proportional to the product of its mass and acceleration. In this instance, the particle remains at rest as the net force acting upon it is equal to zero. Henceforth, it follows that the equilibrium of tension in every string is contingent upon the equivocation of the weight of the particle along the corresponding string direction.
By means of trigonometry, it is feasible to ascertain the constituents of the particle's weight with respect to each directional axis.
weight = m * g = 5kg * 10m/s^2 = 50N
weight_x = weight * sin(30°) = 25N
weight_y = weight * sin(60°) = 43.3N
Question 33
The percentage of electrical energy generated for use in the US by nuclear power plants is approximately:
a. 10
b. 20
c. 30
d. 40
The correct answer is c. 30. Approximately 30% of electrical energy generated for use in the US comes from nuclear power plants.
Nuclear power plants currently account for about 20% of the total electricity generated in the United States, according to the United States Energy Information Administration. However, nuclear power plants are capable of producing more than 30% of the total electricity generated in the United States. As of May 2021, nuclear power plants produced 30.1% of the total electricity generated in the United States. This is a slight decrease from the previous year, when nuclear power plants produced 30.3% of the total electricity generated in the United States.
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some thermal energy was transferred to the surroundings while the water was being heated. Explain how this affected the students value for the specific latent heat of vaporisation of water
The specific heat can be calculated by calculating how much the temperature in the water rises.
Effect of temperature changeConsider a scenario where the water's temperature rise is exceedingly rapid. (Used as an example, a 5 degree rise). The metallic block had a lot of energy to begin with, and it transferred a lot of energy as it cooled, leading us to conclude that the specific heat is rather high.We may conclude that the metallic block didn't transfer much heat, indicating that it had low specific heat, if the temperature rise in the water was only a little amount (let's say 2 degrees), leaving all the other experimental variables constant, such as the mass of the water and the block.If you do, imagine If heat is lost during the experiment, then the water's temperature won't rise as much as it should, is that correct? Due to the fact that some heat was lost to the environment and not all of it was transferred to the water, you would naturally deduce that the specific heat must be reduced.For more information on thermal energy kindly visit to
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What happens when winds in cities hit other buildings or the ground?
When winds in cities hit other buildings or the ground, they can create a phenomenon known as wind turbulence. This can cause the wind to become unpredictable and potentially dangerous, particularly in areas where buildings are close together or where there are many tall structures.
The wind may change direction suddenly or even create gusts that can cause damage to buildings or other structures. To mitigate the effects of wind turbulence, architects and engineers design buildings to be more aerodynamic and use materials that can withstand strong winds. Additionally, cities may implement measures such as planting trees and other vegetation to help reduce the impact of wind on buildings and other structures.
When winds in cities hit other buildings or the ground, it causes a phenomenon called the urban heat island effect. This happens because the buildings and ground absorb and re-emit heat, leading to higher temperatures in urban areas compared to rural ones. Additionally, winds can be channeled between buildings, creating stronger gusts and potentially affecting the stability of structures or causing discomfort for pedestrians.
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You release a ball from rest at the top of a ramp and decide to assume that the ball’s acceleration is constant as it speeds up moving down the ramp. You observe the ball at three times while it is on the ramp: tA = 1.5 s, tB = 3.0 s, and tC = 4.5 seconds. Using these observations, you determine ΔvAB (the change in velocity between tA and tB) and ΔvBC (the change in velocity between tB and tC).
Both ΔvAB and ΔvBC are equal to a * 1.5 s, where 'a' is the constant acceleration of the ball as it moves down the ramp.
What is the change in the velocity?Based on the given information, we can determine the changes in velocity of the ball between different time intervals on the ramp.
Let's denote the velocity of the ball at time tA as vA, at time tB as vB, and at time tC as vC.
Since the ball is released from rest at the top of the ramp, its initial velocity vA = 0 m/s.
Using the kinematic equation for constant acceleration:
v = v0 + at
where:
v = final velocityv0 = initial velocitya = accelerationt = timeWe can rearrange the equation to solve for acceleration a:
a = (v - v0) / t
For the time interval between tA and tB:
ΔvAB = vB - vA = a * (tB - tA)
For the time interval between tB and tC:
ΔvBC = vC - vB = a * (tC - tB)
Given the time values:
tA = 1.5 s
tB = 3.0 s
tC = 4.5 s
We can use these time values to calculate the changes in velocity:
ΔvAB = vB - vA = a * (tB - tA) = a * (3.0 s - 1.5 s) = a * 1.5 s
ΔvBC = vC - vB = a * (tC - tB) = a * (4.5 s - 3.0 s) = a * 1.5 s
So, both ΔvAB and ΔvBC are equal to a * 1.5 s, where 'a' is the constant acceleration of the ball as it moves down the ramp. The value of 'a' would need to be determined using additional information or experimental measurements.
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What is the current flowing through an electric circuit if it has 240 volts across it and 80 ohm's of resistance
For a 240-volt circuit with an 80-ohm resistor attached across it: 240 volts divided with 80 ohms equals current (I). 30 amps represents a unit of current (I).
What's the current in the circuit while the power source is 24 volts and the resistance = 12 ohms?So we have the value of v, which is equal to 24 volts, and the number of r. This is equivalent to 12 home, thus we have the value of i, which is equal to 2 ampere. So that's the solution, alternatively you can say that the voltage inside the wiring is 2.
How does Ohm's law be used to compute resistance?Ohm's Law (E = Ar) is a ratio used in electrical circuits to determine the connection among voltage, current, and resistance. The entire formula is E = I × R, where E equals volts, I equals flow (in amp), and R equals resistance.
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Question 63 Marks: 1 Sounds with a frequency of 30 hertz (Hz) are considered very low pitch.Choose one answer. a. True b. False
a. True. Sounds with a frequency of 30 hertz (Hz) are considered very low pitch.
This is because low frequency sounds produce low pitch tones, and 30 Hz falls within the lower end of the human hearing range, which is typically between 20 Hz to 20,000 Hz. These lower frequencies are usually associated with bass notes, such as those in bass guitars and synthesizers.Low-pitched sounds are generally associated with bass sounds and have a slower frequency than higher-pitched sounds. Low-frequency sound waves travel farther than higher frequency sound waves and can be heard even when there is background noise.
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bob is pushing a box across the floor at a constant speed of 1.1m/s m / s , applying a horizontal force whose magnitude is 55n n . alice is pushing an identical box across the floor at a constant speed of 2.2m/s m / s , applying a horizontal force. a) what is the magnitude of the force that alice is applying to the box?
The boxes are identical and they have the same mass. Also, since both boxes are moving at a constant speed, their acceleration is zero. Therefore, the force that Alice is applying to the box is also 55 N.
To find the magnitude of the force that Alice is applying to the box, we need to use the equation: force = mass x acceleration
Since both boxes are identical, they have the same mass. Also, since both boxes are moving at a constant speed, their acceleration is zero. Therefore, the force that Alice is applying to the box is also 55 N.
To find the magnitude of the force Alice is applying, we should first understand that the force applied is proportional to the velocity when the boxes are moving at a constant speed. Since Alice's box moves at 2.2 m/s and Bob's box moves at 1.1 m/s, Alice's box is moving twice as fast as Bob's box.
To maintain this constant speed, the force applied must also be doubled. Since Bob is applying a force of 55 N, Alice must apply a force of 2 times 55 N, which is equal to 110 N. Therefore, the magnitude of the force Alice is applying to the box is 110 N.
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urgent please
A mason dropped a block of weight 30N onto a trolley of mass 6kg when it was moving at a velocity of 2m/s. Determine the velocity of the trolley thereafter if the block remains on it. (2marks) (Take g = 10N/kg)
The velocity of the trolley system with the block in it is 1.33 m/s.
Weight of the block, W = 30 N
Mass of the block, m = W/g
m = 30/10 = 3 kg
Mass of the trolley, M = 6 kg
Initial velocity of the trolley, u = 2 m/s
According to law of conservation of momentum,
In an isolated system, when two objects collide, the combined momentum before and after the collision is constant. Due to the fact that the momentum gained by one object equals the momentum lost by another, this occurs.
So, the momentum of the trolley system before and after dropping the block to it are equal.
Mu = (M + m)v
Therefore, the velocity of the trolley system with the block in it,
v = Mu/(M + m)
v = 6 x 2/(6 + 3)
v = 12/9
v = 1.33 m/s
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(240-3)(310-15(A)(16)What size conductor (75 degrees C) is required for a 70 ampere breaker that supplies a 70 ampere load?
A 4 AWG copper conductor would be suitable for this application.
The first step is to simplify the expression inside the parentheses:
(240-3)(310-15(A)(16)) = (237)(310-240A)
Then, we can use the formula I = P/V to determine the current (I) required for a 70 ampere load, given the power (P) and voltage (V). Assuming a standard voltage of 120V, we get:
I = P/V = 8400W/120V = 70A
Since the breaker and load are both 70A, we need a conductor that can handle at least 70A. To account for potential heat buildup, we will use the 75 degrees C ampacity rating for the conductor.
Consulting a wire ampacity chart, we find that a 4 AWG copper conductor has an ampacity of 85A at 75 degrees C, which is more than enough for the 70A load. Therefore, a 4 AWG copper conductor would be suitable for this application.
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An electron moves in a circular trajectory of radius R0 in a uniform magnetic field of strength B0. What is the new trajectory if the field strength is doubled?
If the strength of the magnetic field is doubled, the electron's trajectory will also change.
The new trajectory of the electron will have a smaller radius, since the magnetic force acting on the electron is proportional to the field strength. This means that the electron will curve more tightly and move in a smaller circle with a new radius of [tex]R_{0}[/tex]/2. This is because the magnetic force experienced by the electron is proportional to the cross product of the velocity and magnetic field vectors, which causes the electron to move in a circular path perpendicular to both vectors. Therefore, as the magnetic field strength increases, the electron's trajectory will become more tightly curved.
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As the interstitial hydrostatic pressure increases, is more or less fluid driven into the lymphatic capillaries?
Answer:
As the interstitial hydrostatic pressure increases, more fluid is driven into the lymphatic capillaries.The lymphatic system plays an important role in regulating the fluid balance in the body by collecting excess interstitial fluid and returning it to the bloodstream.
Lymphatic capillaries are tiny vessels that are present throughout the body and are involved in this process.When the interstitial hydrostatic pressure increases, there is an increased force that pushes fluid out of the blood vessels and into the surrounding tissues. This excess fluid then enters the lymphatic capillaries due to the pressure gradient between the interstitial fluid and the lymphatic vessels. The lymphatic vessels then transport this excess fluid (now called lymph) back into the bloodstream.
Therefore, an increase in interstitial hydrostatic pressure leads to an increased flow of fluid into the lymphatic capillaries, helping to maintain the fluid balance in the body.
The ___ is used to switch the unit between the heating and cooling modes of operation.a. four-way valveb. bi-valvec. two-way valved. switching valve
The answer is a. Four-way valve.
The four-way valve is a component used in HVAC systems that can switch the direction of refrigerant flow. It is used to reverse the cycle of an air conditioner, allowing it to provide both heating and cooling. When the four-way valve is in one position, the refrigerant flows in one direction, providing cooling.
When the valve is switched to the other position, the refrigerant flows in the opposite direction, providing heating. This valve plays a crucial role in the operation of heat pumps, which are capable of both heating and cooling.
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identify the methods below that are used to measure temperature. multiple select question. calculating the temperature based on thermoelectric responses the expansion and contraction of mercury in a glass tube counting the number of atoms using a powerful microscope measuring the wavelengths of electromagnetic energy given off by an object
The area that the flashbulb is focused towards is then illuminated using the light and heat that are produced. As the chemical energy is transformed into both light and heat, creating a powerful and bright light source, this energy transformation is a very effective process.
The methods used to measure temperature from the options you provided are:
1. Calculating the temperature based on thermoelectric responses.
2. The expansion and contraction of mercury in a glass tube.
3. Measuring the wavelengths of electromagnetic energy given off by an object.
A flashbulb's energy transformation entails the translation of chemical energy into electromagnetic energy as well as heat energy in chemical energy.
The flashbulb stores chemical energy, which is then released when the bulb is activated. Then, this energy is transformed into thermal energy, which is the heat produced by the lightbulb, as well as electromagnetic energy, which is the light that the lightbulb emits.
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When the accumulated count exceeds the preset count, the accumulated value is set to zero.A. Accumulated value is set to zerob. preset is set to zeroC reset changes stated. counter done bit is true
When the accumulated count exceeds the preset count in a counter system, the correct response is that the D. counter done bit becomes true.
In this situation, the accumulated value represents the total count that has been recorded, while the preset count serves as a threshold or target value. Once the accumulated count surpasses this threshold, the counter's done bit is set to true, signaling that the desired count has been reached. This done bit is typically used to trigger other actions within a control system or to provide feedback to the operator.
It is important to note that the accumulated value is not reset to zero (A) and the preset value is not set to zero (B) when the accumulated count exceeds the preset count. These values remain unchanged unless the system is manually reset or a specific reset command is given. Furthermore, the reset state itself does not change (C) solely due to the accumulated count surpassing the preset count.
In summary, when the accumulated count exceeds the preset count, the counter done bit becomes true, providing an indication that the desired counting threshold has been reached. This signal can then be used to initiate further actions within the system or provide feedback to the operator. Therefore the correct option is D
The Question was Incomplete, Find the full content below :
When the accumulated count exceeds the preset count,the:
A)accumulated value is set to zero.
B)preset is set to zero.
C)reset changes state.
D)counter done bit is true.
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a 7.0 μf capacitor is connected in series with a 5.0 kω resistor across a 20-v dc source and an open switch. if the switch is closed at t = 0 s, what is the charge on the capacitor at t = 9 ms
The charge on the capacitor at t = 9 ms is approximately 31.8 μC. To find the charge on the 7.0 μF capacitor at t = 9 ms when connected in series with a 5.0 kΩ resistor and a 20-V DC source,
We will use the formula for the charge on a charging capacitor in an RC circuit:
Q(t) = Q_max * (1 - e^(-t/RC))
where Q(t) is the charge at time t, Q_max is the maximum charge on the capacitor, R is the resistance (5.0 kΩ), C is the capacitance (7.0 μF), and t is the time (9 ms).
First, calculate Q_max: Q_max = C * V = 7.0 μF * 20 V = 140 μC.
Next, calculate RC: RC = 5.0 kΩ * 7.0 μF = 35 ms.
Finally, calculate Q(9 ms): Q(9 ms) = 140 μC * (1 - e^(-9 ms / 35 ms)) ≈ 31.8 μC.
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To solve this problem, we can use the formula Q = CV, where Q is the charge on the capacitor, C is the capacitance, and V is the voltage across the capacitor.
Initially, when the switch is open, there is no current flowing through the circuit and the voltage across the capacitor is zero. Therefore, the charge on the capacitor is also zero.
When the switch is closed at t = 0 s, the capacitor starts to charge up through the resistor. The voltage across the capacitor increases gradually and the current flowing through the circuit decreases exponentially with time.
The total resistance in the circuit is the sum of the resistance of the resistor and the capacitive reactance of the capacitor, which is given by Xc = 1/(2πfC), where f is the frequency of the source (which is DC in this case). Using the given values, we get:
Xc = 1/(2π*20*10^6*7.0*10^-6) ≈ 1.1 kΩ
Therefore, the total resistance in the circuit is Rtot = R + Xc = 5.0 kΩ + 1.1 kΩ = 6.1 kΩ
Using Ohm's law, we can calculate the current flowing through the circuit at t = 9 ms:
I = V/Rtot = 20/6100 ≈ 3.28 mA
The charge on the capacitor at t = 9 ms is then given by:
Q = CV = 7.0*10^-6 * 3.28*10^-3 ≈ 22.9 μC
Therefore, the charge on the capacitor at t = 9 ms is approximately 22.9 microcoulombs.
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Question 15
The amount of time required to produce permanent damage to hearing is cut in half with an increase in sound of
a. 3 dB
b. 5 dB
c. 7 dB
d. 9 dB
The correct answer is a. 3 dB. It is important to note that the decibel scale is logarithmic, which means that a 3 dB increase represents a doubling of the sound intensity.
An increase in sound of 3 dB, 5 dB, 7 dB, or 9 dB will all result in the same decrease in the amount of time required to produce permanent damage to hearing. This is because an increase in sound of 3 dB, 5 dB, 7 dB, or 9 dB will result in a doubling of the intensity of the sound, which means that the same amount of damage can be done in half the amount of time. For example, if it would take 8 hours of exposure to a sound at 100 dB to cause permanent hearing damage, it would only take 4 hours of exposure to a sound at 103 dB. Therefore, a 3 dB increase in sound can cause permanent hearing damage in half the time it would take for the original sound level to do so.
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5974 - A sweptwing airplane with weak static directional stability and increased dihedral causes an increase in:- Mach tuck tendency-Dutch roll tendency-Longitudinal stability
The increase in dihedral of a swept-wing airplane with weak static directional stability would cause an increase in both the Mach tuck tendency and the Dutch roll tendency, but would not have a significant effect on longitudinal stability.
Dihedral refers to the angle between the wings and the horizontal plane. Increasing the dihedral angle of a swept-wing airplane would cause the wings to be angled upwards, which can increase the roll stability of the aircraft.
However, it can also cause an increase in the Mach tuck tendency, which is the tendency of an aircraft to pitch nose-down as it approaches the speed of sound. This is because the upward-angled wings can cause a reduction in lift at high speeds, leading to a nose-down pitching moment.
Additionally, an increase in dihedral can also increase the Dutch roll tendency, which is an oscillation in which the aircraft rolls and yaws simultaneously. This can be caused by the wing's dihedral effect and the vertical fin's directional stability.
A swept-wing aircraft with weak static directional stability is already prone to Dutch roll, and an increase in dihedral would exacerbate this tendency.
Longitudinal stability refers to the aircraft's tendency to return to its original pitch attitude after a disturbance. While an increase in dihedral can affect roll stability and Mach tuck tendency, it would not have a significant effect on longitudinal stability.
Longitudinal stability is primarily influenced by the position of the aircraft's center of gravity, the size and position of the horizontal stabilizer, and the wing's angle of incidence.
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