A The northward component of vector A is equal in magnitude to the southward component of vector it. Also, the eastward component of vector is the same as the eastward component of B. Select ALL of the statements below that must always be correct, based on the information given View Available Hint(s) The magnitude of vector A is equal to the magnitude of vector Vector is perpendicular to vector 3. Vector A is in the opposite direction to vector B □ Vector A is parallel to Vector i The magnitude of vector A is twice the magnitude of vector B Submit Previous Answers X Incorrect; Try Again; 5 attempts remaining Next > Provide Feedback

An industrial load consumes 100 kw at 0.8 pf lagging. if an ammeter in the transmission line indicates that the load current is 200 a rms, the load voltage is 625 volts.

We are provided with information about an industrial load, specifically its power consumption, power factor, and current. Our goal is to determine the load voltage. First, we calculate the apparent power (S) using the formula S = P / PF, where P is the power and PF is the power factor. The power is given as 100 kW (kilowatts), and the power factor is stated as 0.8 (lagging). Dividing 100 kW by 0.8 gives us an apparent power of 125 kVA (kilovolt-amperes). Next, we utilize the relationship between apparent power, voltage, and current. The apparent power (S) is given by the formula S = V * I, where V represents voltage and I represents current. Rearranging the formula, we find V = S / I.

Plugging in the values we have, we substitute 125 kVA for S and 200 A (amperes) for I. Dividing 125 kVA by 200 A, we calculate the load voltage to be 625 V (volts). Therefore, based on the given power consumption of 100 kW at a power factor of 0.8 lagging and an ammeter reading of 200 A rms, we conclude that the load voltage is 625 volts.

Learn more about load voltage here:

https://brainly.com/question/26170633

#SPJ11

When hot tea is mixed to chilled coke, tea loses heat and coke gains heat. Thus, tea cools down but coke gets heated. Because it is liquid and liquid does not totally cool down to the ambient temperature, it and the iced drink will eventually reach the same temperature.

Answer:

F = M a = Ff     force of friction

Ff = μ M g = μ W         where M g = weight of glass

The problem gives the kinetic friction as a force (Ff) in Newtons

μ = Ff / W = .175 / .500 = .35

The partial pressures of CO₂ and CH₄ in the mixture are 2.94 kPa and 197.06 kPa, respectively. The apparent mixture molecular weight is 58.4 g/mol.

The partial pressure of a gas in a mixture is the pressure that the gas would exert if it alone occupied the same volume as the mixture at the same temperature. The partial pressure of a gas is proportional to its mole fraction, which is the fraction of the total number of moles in the mixture that are of that gas.

Using the ideal gas law, the total number of moles of the gas mixture can be calculated as:

n = (m_CO₂/M_CO₂) + (m_CH₄/M_CH₄)

where m is the mass and M is the molar mass.

Substituting the values given in the problem, we get:

n = (1 kg/44.01 g/mol) + (3 kg/16.04 g/mol) = 0.0681 mol

The mole fraction of CO₂ is:

X_CO₂ = (m_CO₂/M_CO₂) / n = 0.0147

Similarly, the mole fraction of CH₄ is:

X_CH₄ = (m_CH₄/M_CH₄) / n = 0.9853

The partial pressure of CO₂ is:

P_CO₂ = X_CO₂ * P_total = 0.0147 * 200 kPa = 2.94 kPa

The partial pressure of CH₄ is:

P_CH₄ = X_CH₄ * P_total = 0.9853 * 200 kPa = 197.06 kPa

The apparent mixture molecular weight can be calculated as:

M_apparent = m_total / n

where m_total is the total mass of the mixture.

Substituting the values given in the problem, we get:

M_apparent = (1 kg + 3 kg) / 0.0681 mol = 58.4 g/mol

To know more about ideal gas law click on below link:

https://brainly.com/question/28257995#

#SPJ11

Answer:

\(\triangle \phi=461.5rad\)

Explanation:

From the question we are told that:

Silt width \(w=0.15=>0.1510^{-3}\)

Wavelength \(\lambda=462nm=462*10^{-9}\)

Angle \(\theta=26.9\)

Generally the equation for Phase difference is mathematically given by

\(\triangle \phi=\frac{2 \pi}{\lambda}(\frac{wsin\theta }{2})\)

\(\triangle \phi=\frac{2 \pi}{462*10^{-9}}(\frac{0.1510^{-3}*sin 26.9 }{2})\)

\(\triangle \phi=461.5rad\)

\(\triangle \phi=146.89\pi\)

A thermal energy transfer portfolio would be an excellent way for students to showcase their knowledge and understanding of this important scientific concept.

Thermal energy transfer is the energy transfer between two or more objects that have different temperatures. This energy transfer can take place in three different ways: conduction, convection, and radiation. A portfolio is a collection of documents or pieces of work that demonstrate a person's skills, abilities, and achievements in a particular area.

Therefore, a thermal energy transfer portfolio would be a collection of documents or pieces of work that demonstrate a person's skills, abilities, and achievements related to thermal energy transfer. This portfolio could include lab reports, experimental data, diagrams, and explanations of the various ways thermal energy can be transferred.

For example, a student's thermal energy transfer portfolio might include:

1. A lab report detailing an experiment they conducted to measure the rate of heat transfer through different materials using conduction.

2. A diagram showing the process of heat transfer through convection in a fluid, such as air or water.

3. A written explanation of the concept of radiation and how it relates to thermal energy transfer.

4. A spreadsheet of data showing the temperature changes in a system as heat is transferred through it.

For more such questions on thermal energy:

https://brainly.com/question/19666326

#SPJ8

The graph that corresponds to 0.1 s in one complete cycle is graph D.

option D is the correct answer.

The period of a wave is the time for a particle on a medium to make one complete vibrational cycle. Period, being a time, is measured in units of time such as seconds, hours, days or years.

Also, the period of a wave is the amount of time it takes for a wave to complete one wave cycle or wavelength.

From the given parameter, the coil rotates 10 times in one second. The period of the coil is calculated as;

Period = 1 s / 10

Period = 0.1 s

From the graphs, the only option that has one complete cycle in one second is option D.

Check option D, half cycle is 0.05 s and one full cycle is 0.1 s.

Learn more about period here: https://brainly.com/question/29813582

#SPJ1

Answer:

Explanation:

In projectile,

Maximum height = \(\frac{u^{2}sin^{2} \theta }{2g}\) and range = \(\frac{u^{2}sin2\theta }{g}\)

u = velocity of the body

\(\theta\) = angle of launch

g = acceleration due to gravity

If the range equals the maximum height in an ideal projectile launch on a horizontal plane, this means;

\(\frac{u^{2}sin^{2} \theta }{2g} = \frac{u^{2}sin2\theta }{g}\)

since \(sin2\theta = 2sin\theta cos\theta\)

\(\frac{u^{2}sin^{2} \theta }{2g} = \frac{u^{2}2sin\theta cos\theta }{g}\\\frac{sin\theta}{2} =2cos\theta \\sin\theta = 4cos\theta\\\frac{sin\theta}{cos\theta} = 4\\tan\theta = 4\\\theta = tan^{-1} \\4\theta = 75.9^{0}\)

The angle at which the range equals the maximum height in an ideal projectile launch on a horizontal plane is approximately 76°

Potential and kinetic energy are at play when we talk about Newton's second law of motion through the various positions in relation to the bodies involved.

This law states that force is equal to the rate of change of momentum and is denoted as F = mv where m is mass and v is velocity.

Potential energy is the energy is possessed by a body by virtue of its position while kinetic energy is possessed by a body by virtue of its motion. Both forms of energy are influenced by forces and are equal to the total momentum.

Read more about Newton's second law of motion here https://brainly.com/question/2009830

#SPJ1

The magnitude of the magnetic force per meter (in nm) exerted on each wire is 3.74 * 10^-3 N/m or 3.74v 8 10 ^6 N/nm.

Magnetic force, enchantment or repulsion that arises between electrically charged debris due to their movement. it's miles the basic pressure accountable for such outcomes as the movement of electric cars and the appeal of magnets for iron.

Magnetic pressure is a compass, a motor, the magnets that keep stuff at the fridge, educate tracks, and new curler coasters. All transferring prices supply upward push to a magnetic subject and the costs that flow thru its regions, revel in a force.

Two items containing charge with the equal path of motion have a magnetic enchantment pressure between them. in addition, gadgets with price transferring in contrary instructions have a repulsive force between them. In our article on magnetic fields we found out how transferring rate surrounds itself with a magnetic field.

explanation is given in the image below.

Force per unit length between two wires ,

F/l = μοI₁I₂/2πd

     = 4π * 10^-7 *67 *67 / 2π (24 * 10^-2)

     = 2 * 10 ^-7 * 67 *67/24 *10 ^ -2

     = 4489/12 * 10^-5

     =  3.74 * 10 ^-3 N/m

Learn more about magnetic force here:-https://brainly.com/question/2279150

#SPJ4

Answer:

Explanation:

Answer:

mass is the amount of "matter" in an object. weight is the force exerted on an object by gravity

Explanation:

Dynamic programming is a programming technique used to optimize the solution of a problem by breaking it down into smaller subproblems and solving each subproblem only once, storing the results in + for future use.

This technique can be applied to find the first x prime numbers. Below is the main answer to the problem:

Algorithm to find the first x prime numbers using dynamic programming:

Declare an array named primes of size x. The elements of this array will be the first x prime numbers. Initialize it to zero.

Create a function is Prime(n) that takes an integer n as input and returns true if n is a prime number and false if it is not.

Iterate through the numbers from 2 to infinity using a loop. For each number, do the following:

If the number is greater than x, stop the loop.

If the number is not prime, continue the loop to the next number.

If the number is prime, add it to the array primes and increase the counter by 1.

If the counter equals x, stop the loop.

After the loop is done, return the array primes.

End of the algorithm. The output of the algorithm is the first x prime numbers.

Dynamic programming is a technique that uses memoization to solve optimization problems in a more efficient manner. It is particularly useful for problems that can be broken down into smaller subproblems that can be solved independently. This is true for the problem of finding the first x prime numbers. We can use dynamic programming to create an algorithm that will find the first x prime numbers more efficiently than brute force methods. To do this, we need to store the results of the subproblems in memory so that we don't have to compute them again. This is where memoization comes in. We create a table to store the results of each subproblem as we solve it. Then, when we encounter the same subproblem again, we can look up the result in the table instead of computing it again. This saves us a lot of time and makes our algorithm much more efficient.

Dynamic programming is a powerful technique that can be used to solve a wide range of problems. By breaking a problem down into smaller subproblems and storing the results in memory, we can solve the problem more efficiently and effectively.

To know more about Algorithm visit:

brainly.com/question/28724722

#SPJ11

Explanation:

TRUE

Your eyes detect electromagnetic waves that are roughly the size of a virus. Your brain interprets the various energies of visible light as different colors, ranging from red to violet. ... On the other end of the spectrum are gamma rays, with wavelengths billions of times smaller than those of visible light

Answer:

Two or more capacitors are said to be connected in parallel if each one of them is connected across the same two points. In a parallel combination of capacitors potential difference across each capacitor is same but each capacitor will store different charge.

What does your model look like and the one it's being compared to?

Answer:

you should prolly put the model

Explanation:

Given that the time between when the marathon runner changes her velocity and the finish line is t, the acceleration of the runner approaching the finish line is 0.22/t m/s² .

The acceleration of a body is the change in the velocity of a body with time.

Acceleration is a vector quantity as it takes into account the change in velocity as well as the change in the direction of the body.

Hence, a body is accelerating if either or both of these two conditions apply:

Mathematically;

The change in velocity of a body = Final velocity - initial velocity

Change in velocity of the runner = 4.17 - 3.95

Change in velocity of the runner = 0.22 m/s

Time taken for this change = t

Hence;

acceleration = 0.22/t m/s²

Learn more about acceleration at: https://brainly.com/question/460763

#SPJ1

The intensity of 1 MeV gamma-rays incident on a thin slab of water required to give an absorption rate of 1 rad/sec is approximately \(6.25 * 10^{13} MeV/sec\).

To calculate the radiation intensity, we need to convert the absorption rate of 1 rad/sec to the dose rate in Gray/sec, and then to the radiation intensity in MeV/sec. Since 1 rad/sec is equivalent to an absorption rate of 0.01 Gy/sec, we have:

0.01 Gy/sec = (energy absorbed per second) / (mass of material x 1 sec)

For water, the mass per unit volume is \(1 gram/cm^3\) or \(1000 kg/m^3\). Therefore, we have:

\(0.01 Gy/sec = (energy absorbed per second) / (1000 kg * 1 m^2 * 1 sec)\)

Solving for the energy absorbed per second, we get:

energy absorbed per second = 0.01 Gy/sec x 1000 kg = 10 J/sec

The energy of 1 MeV gamma-rays is equal to \(1.6 * 10^{-13} J\). Therefore, the radiation intensity required to deposit 10 J of energy per second in the water is:

\(intensity = (10 J/sec) / (1.6 *10^{-13} J/MeV) = 6.25 *10^{13} MeV/sec\)

Therefore, the intensity of 1 MeV gamma-rays incident on a thin slab of water required to give an absorption rate of 1 rad/sec is approximately \(6.25 * 10^{13} MeV/sec\).

Learn more about intensity :

https://brainly.com/question/29634224

#SPJ4

Electrostatic precipitators use electrical charges to attract and trap pollutants, such as dust particles, sulfur dioxide, and smoke particles.

This technology works by using high voltage to ionize the pollutant particles, which changes their electrical charge and results in an attractive electrical force that is directed to metal plates or tubes, known as collectors.

Once the particles reach the collector, they build up and can be removed from the air. This technology is usually used to control emissions of particles that are too small to be blocked by traditional mechanical filters, such as those found in large power plants and fossil fuel facilities.

Because electrostatic precipitators are so efficient and powerful, they are now frequently used in many industries where air pollution control is needed. With proper maintenance and upkeep, this technology can be very effective in reducing air pollution, and keeping the surrounding air clean.

know more about Electrostatic precipitators here

https://brainly.com/question/28024062#

#SPJ11

The theory that explains how our eyes collect light instead of emitting invisible intelligence-gathering probes was proposed by Alhazen, also known as Ibn al-Haytham, an Arab scientist during the Islamic Golden Age.

The theory in question was put forward by Alhazen, an influential Arab scientist who lived during the 10th and 11th centuries. Alhazen, also known as Ibn al-Haytham, made significant contributions to the understanding of optics and vision.

One of Alhazen's major works, "Kitab al-Manazir" (The Book of Optics), presented his theories on vision and light. In this book, he argued against the prevailing belief that the eyes emitted invisible rays to perceive objects. Instead, Alhazen proposed that vision occurs when light reflects off objects and enters the eyes, where it is then collected by the visual system.

Alhazen's work challenged the previous theories of vision put forth by ancient Greek philosophers, such as Euclid and Ptolemy. His emphasis on empirical observations and experimental methods marked a significant shift in scientific thinking.

Alhazen's theory of vision, which highlighted the passive nature of the eyes in collecting light rather than emitting rays, laid the foundation for our modern understanding of how light interacts with the visual system and how we perceive the world around us.

Learn more about light  here:

https://brainly.com/question/30223248

#SPJ11

Answer:

Radio pulsars and Recycled pulsars

Answer:

The tissues in a multicellular organism requires a circulatory system in other to deliver oxygen and food to the tissues while also removing carbon dioxide and metabolic wastes due the complexity of these activities

Explanation:

Multicellular organisms are organisms that are made of more than one cell. the more cells an organism has the more complex certain activities might be for the organism hence the tissues in a multicellular organism requires a circulatory system in other to deliver oxygen and food to the tissues while also removing carbon dioxide and metabolic wastes

Answer:

the cart will have an acceleration of 1,25 m.s‐²

Answer:13,3 m/s

Explanation:We can use the Torricelli equation:

v^2=v0^2+2ah

the initial velocity is 0

v0^2=0

so:

v^2=0+2*9,8*9

v^2=176,4

v=13,3 (approx)

Answer:

For me i think the answer will be 13.72m/s

Answer:

First one: False. Second one: decrease. Third one: decreased

Explanation:

For the first one, potato chips will make the floor more slippery than just regular tile. Second one, if the force holding the 2 things together decreases, the friction will decrease as well. For the third one, if water is over the floor, it makes it even more slippery.

Hope this helps!

Answer:

1:False 2:Decrease 3:Decrease

Answer:

a) Strings of guitar (being played)

b) Heart-beat in a healthy person

c) Motion of an apple falling from a tree

Explanation:

a) The motion of the string of a guitar being played is the only motion involving simple harmonic motion.

b) All the other motions are circular motion except the heart beat in a healthy person, which is periodic.

c) The motion of an apply falling from a tree is the only motion under the complete influence of gravity from the onset till the end.