If a planet is in a circular orbit 1 astronomical unit (AU) away from a black hole of 1 solar mass, it will experience a strong gravitational force due to the black hole's massive gravitational field.
The gravitational force exerted by the black hole on the planet will be balanced by the centrifugal force required to keep the planet in its circular orbit.
The speed of the planet in this orbit can be calculated using the formula:
v = √(GM/r)
where G is the gravitational constant, M is the mass of the black hole, and r is the distance of the planet from the black hole.
Plugging in the values, we get:
v = √((6.67 × 10^-11 m^3/kg s^2) × (1.99 × 10^30 kg) / (1.5 × 10^11 m))
v = 29.78 km/s
Therefore, the planet in this scenario would be orbiting the black hole at a speed of approximately 29.78 km/s.
It is important to note that at this distance, the planet is outside the event horizon of the black hole and is not in immediate danger of being swallowed by the black hole.
However, the strong gravitational field of the black hole will affect the planet's orbit and may cause it to process over time.
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the rate of ventricular conduction is best determined by the _______________________ on an ecg
The rate of ventricular conduction is best determined by the QRS complex on an ECG:
An electrocardiogram (ECG) is a non-invasive test that records the electrical activity of the heart over time using electrodes placed on the skin.
The QRS complex is one of the components of the ECG waveform.
It represents the depolarization of the ventricles, which is the electrical activity that causes the ventricles to contract and pump blood out of the heart.
The duration of the QRS complex can be measured in milliseconds (ms) using calipers or a ruler on the ECG tracing.
The QRS complex duration should be less than 0.12 seconds (120 ms) in a normal ECG.
The heart rate or the rate of ventricular conduction can be determined by measuring the time interval between successive QRS complexes.
This time interval is called the R-R interval, and it represents the time it takes for the ventricles to depolarize and contract again.
The heart rate can be calculated by dividing 60 seconds by the R-R interval in seconds. For example, if the R-R interval is 0.8 seconds, the heart rate would be 75 beats per minute (60/0.8=75).
In addition to the QRS complex, other components of the ECG waveform can also be used to determine the heart rate, such as the P wave (which represents the depolarization of the atria) and the T wave (which represents the repolarization of the ventricles).
However, the QRS complex is considered the most reliable and accurate indicator of the rate of ventricular conduction.
Overall, the QRS complex on an ECG is the best indicator of the rate of ventricular conduction because it represents the electrical activity that causes the ventricles to contract and pump blood out of the heart.
By measuring the duration and timing of successive QRS complexes, the heart rate or the rate of ventricular conduction can be accurately determined.
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Ch7 Questions Momentum
1. What is the relationship between velocity and momentum? Give an example
2.
Which has a greater mass, a heavy truck at rest or a rolling skateboard?
3.
Which has greater momentum?
3. Distinguish between impact force and impulse.
4. When the force of impact on an object is extended in time, does the impulse increase or decrease?
5. Distinguish between impulse and momentum.
6. If the time of impact in a collision is extended by four times, how much does the force of impact change
7. What does it mean to say momentum is conserved?
8. Distinguish between elastic and inelastic collisions.
9. In terms of impulse and momentum why are air bags in automobiles a good idea?
OBRABIA
10. You can't throw a raw egg into a wall without breaking it, but you throw it at the same speed at sagging sheet without breaking it.
Explain.
Answer:1. Momentum is directly proportional to velocity. If an object has a higher velocity, it will have a greater momentum. For example, a truck moving at a high speed has a greater momentum than a skateboard moving at a slow speed.
2. The heavy truck at rest has a greater mass than the rolling skateboard.
3. The object with the greater velocity will have greater momentum. For example, a car traveling at 60 mph has greater momentum than a bicycle traveling at 10 mph.
4. When the force of impact is extended in time, the impulse increases.
5. Momentum is the product of mass and velocity, while impulse is the change in momentum over time.
6. If the time of impact in a collision is extended by four times, the force of impact decreases by four times.
7. Conservation of momentum means that in a closed system, the total momentum before a collision is equal to the total momentum after the collision.
8. In elastic collisions, both momentum and kinetic energy are conserved, while in inelastic collisions, only momentum is conserved.
9. Air bags in automobiles are a good idea because they increase the time over which the force of impact is applied to the occupant, reducing the impulse and therefore reducing the risk of injury.
10. The sagging sheet is able to absorb the egg's impact force over a longer period of time than the wall, which causes the egg to break upon impact with the wall. The longer time of impact reduces the impulse, making it less likely for the egg to break.
Explanation:
Two large, horizontal metal plates are separated by 0.020m. A small plastic sphere is suspended halfway between them and experiences an electric force of 2.5x10^-15N that just balances the force of gravity on it.
a. What is the potential difference between the plates, if the charge on the plastic sphere is +7.6x10^-19C?
b. Calculate the mass of the plastic sphere.
(a) The potential difference between the plates is approximately 8.97 Volts.
(b) The mass of the plastic sphere is approximately 1.94x10^-17 kg.
What is the potential difference?To calculate the potential difference between the plates, we can use the formula for electric force:
Electric force (F_e) = Charge (q) * Electric field (E)
The electric field (E) between the plates is given by:
Electric field (E) = Voltage (V) / Distance (d)
where;
d is the distance between the plates.Setting the electric force equal to the force of gravity (F_g) on the sphere, we have:
Charge (q) * Electric field (E) = Mass (m) * Acceleration due to gravity (g)
Solving for the electric field (E), we get:
Electric field (E) = (Mass (m) * Acceleration due to gravity (g)) / Charge (q)
Since the electric force (F_e) is given as 2.5x10^-15N and the charge (q) on the plastic sphere is +7.6x10^-19C, we can substitute these values into the equation:
2.5x10^-15N = (Mass (m) * 9.8 m/s^2) / 7.6x10^-19C
Solving for mass (m), we get:
Mass (m) = (2.5x10^-15N * 7.6x10^-19C) / (9.8 m/s^2)
Mass (m) ≈ 1.94x10^-17 kg
b. Now that we know the mass of the plastic sphere is 1.94x10^-17 kg, we can calculate the potential difference (V) between the plates using the formula for electric field:
Electric field (E) = Voltage (V) / Distance (d)
Solving for voltage (V), we get:
Voltage (V) = Electric field (E) * Distance (d)
We already know the distance between the plates (d) is 0.020 m, and we can use the electric field (E) that we calculated in part a, which is approximately:
Electric field (E) ≈ (2.5x10^-15N * 7.6x10^-19C) / (1.94x10^-17 kg * 9.8 m/s^2)
Plugging in the values, we can now calculate the potential difference (V):
Voltage (V) ≈ 8.97 V
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your success as a businessperson is connected closely to your ability to convince others to
Your success as a businessperson is indeed closely connected to your ability to convince others.
In any business, success often depends on the ability to persuade others , whether it's convincing investors to invest in your company, convincing customers to buy your products or services, or convincing employees to work towards a common goal.
Effective persuasion requires a combination of strong communication skills, the ability to understand and address the needs and concerns of your audience, and the ability to build trust and credibility.
Some specific techniques for effective persuasion include:
1) Tailoring your message to your audience: To be effective, your message needs to resonate with your audience.
This means taking the time to understand their needs, interests, and concerns, and tailoring your message accordingly.
2) Providing evidence and examples: People are often more convinced by evidence and examples than by abstract arguments. By providing concrete evidence and examples to support your message, you can make it more compelling and convincing.
3) Building trust and credibility: People are more likely to be convinced by someone they trust and respect.
Building trust and credibility can involve being transparent and honest, demonstrating expertise and knowledge, and being consistent and reliable.
4) Using storytelling: Stories can be a powerful way to persuade people, as they can help to create an emotional connection and engage people's imaginations.
By telling stories that illustrate your message, you can make it more memorable and persuasive.
Overall, the ability to persuade others is a critical skill for success in business, and mastering the art of persuasion can help you to achieve your goals and build strong relationships with customers, investors, and employees.
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Question 60 Marks: 1 A thin sheet of paper will stop a beta particle.Choose one answer. a. True b. False
The given statement "A thin sheet of paper will stop a beta particle" is a false statement because A high-energy electron or positron known as a beta particle is unlikely to be stopped by a thin sheet of paper.
A beta particle, also known as a beta ray or beta radiation (symbol ), is a highly energetic, swiftly moving electron or positron that is released during the radioactive disintegration of an atomic nucleus. Compared to alpha particles, beta particles are more invasive, although they can be prevented by substances with greater atomic numbers, such as aluminium or lead. In most cases, a thin sheet of paper is insufficient to stop beta particles.To know more about beta
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3. A sine wave has an RMS amplitude of 2.0 V. What is the peak to peak voltage of the wave
The peak voltage of a sine wave is equal to the RMS amplitude multiplied by the square root of 2. Therefore, the peak voltage of this sine wave is:
Peak voltage = 2.0 V x √2 = 2.0 V x 1.414 = 2.828 V
The peak-to-peak voltage of a sine wave is twice the peak voltage. Therefore, the peak-to-peak voltage of this sine wave is:
Peak-to-peak voltage = 2 x 2.828 V = 5.656 V
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____ blank friction includes all cases in which the frictional force is sufficient to prevent relative motion between surfaces
Static friction includes all cases in which the frictional force is sufficient to prevent relative motion between surfaces.
Static friction is the force that prevents an object from moving when a force is applied to it. It occurs when the force applied is not strong enough to overcome the frictional force between the two surfaces. In other words, the static frictional force is equal and opposite to the force applied, resulting in no net movement of the object.
Static friction is a crucial force in many situations, such as in keeping objects stationary on a slope or in the tires of a car on a road. Once the applied force exceeds the static frictional force, kinetic (or sliding) friction takes over, and the object starts to move.
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Terminal Rating(110-14(C)(1): What size THHN conductor is required for an air-conditioning unit if the nameplate requires a conductor ampacity of 34 ampere? Terminals of all the equipment and circuit breakers are rated 75 degrees C.
To determine the required THHN conductor size for an air-conditioning unit with a conductor ampacity of 34 amperes and terminals rated at 75 degrees Celsius,
Please follow these steps:
1. Refer to the National Electrical Code (NEC) table 310.15(B)(16) for allowable ampacities of insulated conductors rated up to and including 2000 Volts.
2. Locate the column for the 75-degree Celsius terminal rating, as specified by your equipment and circuit breakers.
3. Find the conductor size that has an ampacity equal to or greater than 34 amperes in the 75-degree Celsius column.
Following these steps, you will find that the appropriate THHN conductor size for your air-conditioning unit is 8 AWG, as it has an allowable ampacity of 50 amperes in the 75-degree Celsius column, which is sufficient for the required 34 amperes.
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The amount of deformation a material experiences due to an applied force is called
The amount of deformation a material experiences due to an applied force is called strain.
The amount of deformation a material experiences due to an applied force is called strain. Strain is a measure of the degree to which a material is stretched or compressed under a given load, and it is typically expressed as a ratio of the change in length or shape of the material to its original length or shape.
Strain can be categorized into several types, including tensile strain, compressive strain, shear strain, and volumetric strain, depending on the type of deformation that occurs.
Tensile strain occurs when a material is stretched along its length, while compressive strain occurs when a material is compressed or shortened along its length.
Shear strain occurs when a material is subjected to a parallel force that causes it to slide or twist along a plane, while volumetric strain occurs when a material experiences a change in volume due to pressure.
Overall, the concept of strain is important in materials science and engineering, as it helps to describe the behavior of materials under different types of loads and can be used to design and optimize materials for specific applications.
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(382-56) Receptacle type tap connectors for nonmetallic extensions shall be of the _____.
Receptacle type tap connectors for nonmetallic extensions shall be of the twist-lock type.
The National Electrical Code (NEC) requires that receptacle-type tap connectors used with nonmetallic extensions, such as cords or cables, be of the twist-lock type. This is to ensure a secure connection between the plug and receptacle, as well as to prevent accidental disconnection. Twist-lock connectors have a locking mechanism that requires the plug to be twisted and locked into place before it can be energized.
This provides a more reliable and safe connection compared to standard plug connectors that can easily be pulled out or accidentally disconnected. The NEC provides guidelines and requirements for electrical installations to promote safety and minimize the risk of electrical hazards.
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Question 4 (1 point)
Which of the following adjusts the transparency or translucence of a shape or a layer?
Texture
Both the Opacity and Fill options control a layer's transparency. That is, they control how much the currently selected layer allows other layers below it in the document to show through.
What is Opacity?In most digital design or image editing applications, the Opacity tool can be used to change the transparency or translucency of a form or layer.
Opacity regulates how transparent or opaque an object or layer is. The object or layer becomes more opaque and less transparent with a higher opacity value, whereas the opposite is true with a lower opacity setting.
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Question 66 Marks: 1 It is estimated that at any given time, there is/are _____ times more water stored underground than in all the surface streams and lakes.
Choose one answer. a. 5 times as much b. 20 to 30 times as much c. one-half as much d. one-tenth as much
It is estimated that there is b. 20 to 30 times as much more water stored underground than in all the surface streams and lakes.
This significant amount of water is found in aquifers, which are underground layers of rock, sand, and gravel that hold water. These underground reservoirs play a crucial role in providing freshwater to communities, agriculture, and industries worldwide.
Surface water, on the other hand, consists of lakes, rivers, and streams, which are visible and more commonly utilized sources of water. While both underground and surface water sources are essential for sustaining life on Earth, it's crucial to understand the vast difference in their quantities to efficiently manage and protect these valuable resources. It is estimated that there is b. 20 to 30 times as much more water stored underground than in all the surface streams and lakes.
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True or FalseIn the emergency heat mode, the auxiliary heat source becomes the primary heat source and the compressor is disabled.
True. In the emergency heat mode, the auxiliary heat source (such as electric resistance coils) becomes the primary heat source and the compressor is disabled.
This mode is typically used when the regular heat pump system is malfunctioning or unable to keep up with extreme cold temperatures. When a heat pump is used in conjunction with gas or oil auxiliary heating, the heat pump coil must be placed downstream the furnace.
The heat pump coil is situated underneath the furnace for a reason.
This is because the heat pump coil needs to be able to extract heat from air that has already been heated by the auxiliary heat source rather than air that is drawn into the boiler from the outside.
If the heat pump coil was positioned on the downstream side of the furnace, the efficiency and performance of the heat pump system would be reduced.
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Magnetic flux equals magnetic field times area times cosine angle. true or false
Answer: Yes True.
Explanation:
According to the statement, φ=BAcos(theta)
.It represents the relationship between magnetic flux φ with magnetic field B and area A. and angle theta between magnetic field and area A.
you are driving along a highway at 35.0 m/s when you hear the siren of a police car approaching you from behind and you perceive the frequency as 1,374 hz. you are relieved that he is in pursuit of a different speeder when he continues past you, but now you perceive the frequency as 1,330 hz. what is the speed of the police car? the speed of sound in air is 343m/s.
As per the given conditions, the speed of the police car is 315.89 m/s.
To solve this problem, we can use the Doppler effect equation:
f' = f * (v +/- [tex]v_{obs}[/tex]) / (v +/- [tex]v_{source}[/tex])
Where:f = frequency of the sound wave emitted by the police car (in Hz)
f' = perceived frequency of the sound wave by the driver (in Hz)
v = speed of sound in air (343 m/s)
v +/- [tex]v_{obs}[/tex] = speed of the observer (the driver) (35.0 m/s)
[tex]v_{source}[/tex] = speed of the source (the police car) (unknown)
Using the first observation:
1,374 = f * (343 + 35) / (343 + v_source)
[tex]v_{source}[/tex] = 308.63 m/s
Using the second observation:
1,330 = f * (343 + 35) / (343 +[tex]v_{source}[/tex])
[tex]v_{source}[/tex] = 323.15 m/s
Taking the average of these two speeds gives:
[tex]v_{source}[/tex] = (308.63 + 323.15) / 2 = 315.89 m/s
Therefore, the speed of the police car is 315.89 m/s.
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How would you best describe the behavior of the wave in the diagrams when it reaches the boundary between the big particles and the small particles?
When a wave reaches the boundary between media with different properties, several behaviors may occur:
What happens when two waves reaches a boundary?Reflection: A portion of the wave may bounce back into the original medium, following the law of reflection, which states that the angle of incidence is equal to the angle of reflection. This occurs when the wave encounters a medium with a higher density or different refractive index, causing the wave to change direction and reflect back.
Refraction: Another portion of the wave may continue to propagate into the new medium, but change direction due to a change in speed and wavelength. This bending of the wave is called refraction, and it occurs when the wave enters a medium with a different density or refractive index.
Transmission: The remaining portion of the wave may continue to propagate through the new medium without changing direction, if the properties of the two media are such that the wave is not significantly affected.
The specific behavior of the wave at the boundary between big particles and small particles would depend on various factors, such as the angle of incidence, the properties of the media (e.g., density, refractive index), and the characteristics of the wave (e.g., frequency, wavelength).
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(390-8) When an outlet from an underfloor raceway is discontinued, the circuit conductors supplying the outlet _____.
When an outlet from an Underfloor raceway is discontinued, the circuit conductors supplying the outlet must be disconnected, isolated, and insulated from any possible contact with other conductors. This ensures safety and prevents potential short circuits or other electrical hazards. The underfloor raceway is a system used in commercial buildings to distribute electrical power and data cabling underneath the raised floor. It typically consists of metal or plastic conduit channels installed below the floor surface, providing a concealed pathway for routing electrical conductors.
The circuit conductors supplying power to that outlet are disconnected and terminated properly. This may involve removing the outlet box, disconnecting the conductors from the circuit breaker or fuse panel, and properly capping or terminating the conductors to ensure they are safely and securely isolated from the electrical system. Following local electrical codes and best practices is essential to ensure the safe and efficient operation of the electrical system.
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You and your friend both own a piece of gold of the same weight. But you live on earth, and your friend lives on a planet that has a surface gravity of 1.63m/s^2. Compared to your piece of gold, your friends piece of gold has
Compared to your piece of gold, your friend's piece of gold would weigh more on their planet due to the higher surface gravity.
The weight of an object is directly proportional to the force of gravity acting on it. Therefore, since the gravity on your friend's planet is higher than on Earth, their piece of gold would weigh more. However, the actual mass of both pieces of gold would remain the same regardless of the gravitational force acting upon them. On Earth, the force of gravity is 9.81m/s^2, which means that it pulls objects towards the planet with a greater force than the planet with 1.63m/s^2 surface gravity. Therefore, your friend's piece of gold will be heavier because it is being pulled with a greater force.
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If an organism is classified in the animal kingdom, then it MUST
If an organism is classified in the animal kingdom, then it must Identify traits common to all animals and traits that can be used to distinguish groups of related animals.
Give a brief account on animal kingdom.The animal kingdom is the taxonomic kingdom that includes all animals, living or extinct. All animals on earth can be found in the taxonomic classification of the animal kingdom. Animals are classified into various subcategories to further define them, named as division, class, order, family, genus and species. Each classification is physically, anatomically or behaviorally in some way Similarities narrow as one moves down through divisions, classes, etc. until a unique species is defined.
We need to identify traits that are common to all animals and traits that can be used to distinguish between related animal groups. Animal classification systems group animals based on anatomy, morphology, evolutionary history, developmental traits, and genetic makeup.
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The complete question is as follows:
Complete the given sentence.
If an organism is classified in the animal kingdom, then it MUST_______.
Question 6
Which one of the following is least penetrating?
a. Alpha rays
b. Beta rays
c. Gamma rays
d. x-rays
Answer:
a) Alpha rays because an alpha ray involves a Helium nucleus - with an atomic number of two and a mass number of 4
Beta rays would be next which involve an electron which is thousands of times less massive than an alpha ray
A straight bar magnet is initially 4 cm long, with the north pole on the right and the
south pole on the left. If you cut the magnet in half, the right half will
A) no longer contain any poles. B) contain only a north pole.
C) contain only a south pole.
D) contain a north pole on the right and a south pole on the left.
A straight bar magnet is initially 4 cm long. If you cut the magnet in half, the right half will no longer contain any poles.
Option A is correct.
The length of the bar magnet 4cm, assuming we cut into a portion of the right half will have same shafts. By splitting the bar magnet in half, two smaller but still complete magnets with north and south poles are produced. Each piece of a magnet remains a complete magnet with two poles regardless of how small they are cut, even down to the microscopic level.
Therefore, magnets always have two poles. There is no such thing as a unipole.
For what reason is a bar magnet?A magnet made of ferromagnets is called a bar magnet. The magnet's magnetism is derived from ferromagnetic materials. As the name recommends, a Bar Magnet is a rectangular piece of the Magnet which, as different Magnets when suspended openly, adjusts itself along the Attractive field of the earth.
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What characteristics should a good sample for melting point determination have?
A good sample for melting point determination should have the following characteristics: purity, uniformity, and appropriate size. These characteristics ensure accurate and consistent results in the melting point determination process.
A good sample for melting point determination should have several important characteristics. Firstly, it should be pure, as any impurities can significantly alter the melting point. Secondly, it should be representative of the substance being tested, meaning that it should be a good representation of the entire batch or sample. Thirdly, it should be of sufficient quantity to ensure accurate results and should also be in a form that is easy to handle and manipulate during testing.
Finally, it should be well-prepared and free from any external factors that may influence the melting points determination, such as moisture or contamination.
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1 degree of visual angle = ... letter spaces in typical texts
On average, 1 degree of visual angle corresponds to about 4 letter spaces in typical texts. However, this can vary depending on factors such as font size, spacing, and individual differences in visual acuity.
Visual angle subunits are minutes and seconds of arc: 1 degree = 60 min of arc (or arcmin) and 1 arcmin = 60 s of arc (or arcsec). Components used to calculate visual angle (θ) include the size of the stimulus object (S0) at a specified viewing distance (D0).The visual angle of the image on the retina can be calculated by measuring the angle subtended by the object outside of the eye. Visual angle is the angle a viewed object subtends at the eye, usually stated in degrees of arc. It also is called the object's angular size.
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(240)(240-6(A)) Standard sized circuit breakers and fuses include 25, 90, and 350 ampere.(True/False)
The statement, "Standard sized circuit breakers and fuses include 25, 90, and 350 ampere" is true
Tell the statement is true or not that Standard sized circuit breakers and fuses include 25, 90, and 350 ampere ?The statement, "Standard sized circuit breakers and fuses include 25, 90, and 350 ampere" is true. Standard breakers come in various sizes to protect electrical circuits from damage due to excessive current. Common sizes include 25, 90, and 350 ampere, among others. These breakers help to maintain the safe operation of electrical systems.
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(310-15(B)(3)(a)(2)The ampacity of a conductor can be different along the length of the conductor. The higher calculated ampacity can be used if the length of the lower ampacity is no more than 10 feet or no more than 10 percent of the length of the circuit conductors.(True/False)
True, A conductor's ampacity can vary throughout its length due to factors such as ambient temperature, the number of conductors in a cable, and insulation type.
The National Electric Code (NEC) allows for the use of greater ampacity if the length of the lower ampacity portion is no longer than 10 feet or 10% of the length of the circuit conductors, whichever is shorter.
This provision is predicated on the idea that the heat created by the higher ampacity part will be dispersed across the length of the lower ampacity segment, resulting in no overheating or conductor damage.
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why do you think your "air-hole" is the same as your "food-hole"?
That hole provides three main roles: 1 for living two for speaking, and a third for swallowing. It fulfils three roles. When he swallows, his lip closes the hole of the palate in the rear his his mouth, settling the fleshly valves in the top part of the throat.
Is there a breath opening or a food hole?The throat serves as where those pathways of air and nutrients meet. When one breathes in through the nose or word, the air that comes in always goes through the pharynx. As you might expect, swallowing is a vital element of survival; it allows us to eat and drink.
Do air and meals go through a comparable hole?Our breathing tube, our windpipe or the trachea is not separate from what we use to swallow, the stomach. Air, food, and fluids all travel together down the throat till the windpipe splits apart, exactly around the apple of Adam. Normally, the epiglottis prevents food and water from passing down the windpipe.
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19.) A person consumes a snack containing 14 food calories (14 kcal). What is the power this food produces if it is to be "burned off" due to exercise in 6 hours? (1 cal = 4.186 J)
A.) 2.7 W
B.) 9763 W
C.) 0.6 W
D.) 0.0027 W
To solve this problem, we need to convert the food calories to joules and then use the formula P = E/t, where P is power, E is energy, and t is time.
First, we need to convert 14 food calories to joules:
14 kcal x 4.186 kJ/kcal = 58.604 kJ
Next, we need to convert 6 hours to seconds:
6 hours x 3600 seconds/hour = 21,600 seconds
Now we can plug in the values:
P = 58.604 kJ / 21,600 s = 2.7 W
Therefore, the answer is A.) 2.7 W.
To answer this question, we need to convert the food calories (kcal) into joules, and then divide by the time in seconds to get the power in watts.
1. Convert 14 kcal to joules: 14 kcal * 4.186 kJ/kcal = 58.604 kJ
2. Convert 6 hours to seconds: 6 hours * 60 min/hour * 60 sec/min = 21,600 seconds
3. Calculate the power in watts: 58.604 kJ / 21,600 seconds = 0.00271 kW or 2.71 W
Your answer: A.) 2.7 W
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What speed would a 0.4 kg football have to be thrown to have a momentum of 8 kg * m/s?
Answer:
Explanation:
p = m * v
where m is the mass of the object and v is its velocity/speed.
In this case, we are given the momentum (p) and the mass (m) of the football. We can rearrange the formula to solve for v:
v = p / m
Substituting the given values, we get:
v = 8 kg * m/s / 0.4 kg
v = 20 m/s
if an object achieved an angular acceleration of 40 rad/s2 due to a torque of 46 nm, what was the object's moment of inertia (in kg.m2?
Using the equation I = /, where is the torque applied to the item and is the consequent angular acceleration, one may calculate the moment of inertia of a given object.
I = 46 Nm / 40 rad/s², which can be written as I = 1.15 kg.m², is the result of substituting the provided numbers into the formula. A result of this is that the object's moment of inertia is 1.15 kg/m². The distribution of mass within the object and its shape both affect the moment of inertia, which is a measurement of an object's resistance to rotational motion. The stiff body spinning about a fixed axis is covered by the formula presented here.
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For capacitors in series that have different capacitances, which one (if any) has the greatest potential difference across it?
When capacitors are connected in series, the potential difference across each capacitor is different. The capacitor with the smallest capacitance will have the greatest potential difference across it.
This is because the total charge on each capacitor is the same, but the smaller capacitor will store less charge and thus experience a larger voltage drop. In other words, the voltage drop across each capacitor is proportional to its capacitance, and the capacitor with the smallest capacitance will experience the greatest voltage drop. So, the answer to your question is that the capacitor with the smallest capacitance has the greatest potential difference across it.
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