Object 1 in the diagram at the right represents a proton moving perpendicularly to a magnetic field of magnitude 0.55T at a speed of 5.6 x 10^3 m/s.

a. Draw and label a vector showing the direction of the force on the proton.
b. Calculate the magnitude of the force.

Object 1 In The Diagram At The Right Represents A Proton Moving Perpendicularly To A Magnetic Field Of

Answers

Answer 1

Answer:

Explanation:

a. The direction of the force on the proton can be determined using the right-hand rule for magnetic fields. If the right hand is oriented such that the fingers point in the direction of the magnetic field (from north to south in this case) and the thumb points in the direction of the proton's velocity (to the right in this case), then the palm of the hand will point in the direction of the force on the proton. Using this rule, we can see that the force on the proton points downward, as shown in the diagram below:

     N

      |

 <----|---->

 |    |    |

 |    |    |

 |____|____|

      |

      S

b. The magnitude of the force on the proton can be calculated using the formula:

F = qvB

where F is the magnitude of the force, q is the charge of the particle, v is its velocity, and B is the magnetic field strength. For a proton, which has a charge of +1.6 x 10^-19 coulombs, the magnitude of the force is:

F = (1.6 x 10^-19 C)(5.6 x 10^3 m/s)(0.55 T) = 4.5 x 10^-14 N

Therefore, the magnitude of the force on the proton is 4.5 x 10^-14 N.


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what is physics-based data analysis models for large datasets ?

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Physics-based data analysis models for large datasets are mathematical and computational methods used to analyze and interpret data from large and complex systems. These models are used to understand the underlying physics of the system and to make predictions about its behavior.


There are several different types of physics-based data analysis models for large datasets, including statistical models, machine learning models, and computational fluid dynamics models. Each of these models uses different techniques and algorithms to analyze and interpret the data.

Statistical models use statistical methods to analyze the data and make predictions about the system. These models are often used to understand the relationship between different variables in the system and to make predictions about future behavior.

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Computational fluid dynamics models use numerical methods to simulate the behavior of fluids and gases in the system. These models are often used to understand the flow of fluids and gases in the system and to make predictions about future behavior.

Overall, physics-based data analysis models for large datasets are important tools for understanding and predicting the behavior of complex systems.

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If an atom has an atomic number of 87 and a mass number of 223, how much is the number of neutrons?.

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The atomic number of francium is 87. This indicates that each francium atom has 87 protons and the equal amount of electrons in its nucleus. Francium has an atomic mass of 223 and 136 neutrons.

Mass is what?

In physics, mass is a quantitative expression of inertia, a basic characteristic of all matter. It essentially refers to a body of matter's resistance to changing its speed or location in response to the applying of a force.

How is mass determined?

A balance is the instrument you'd use to calculate mass. A triple beam balanced or a measuring cylinder may be used in the lab to measure mass, but the traditional balance shown below could help you understand what mass is.

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a car accelerate from rest to a speed of 3600m/s in 20 second what is the acceleration of the car?
Formula and solution pls​

Answers

Answer:

Explanation:

The formula for acceleration is:

a = (v_f - v_i) / t

Where:

a = acceleration

v_f = final velocity

v_i = initial velocity (in this case, 0 m/s since the car started from rest)

t = time

Plugging in the given values, we get:

a = (3600 m/s - 0 m/s) / 20 s

a = 180 m/s^2

Therefore, the acceleration of the car is 180 m/s^2.

What is the magnitude of the magnetic field?

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The strength or intensity of the magnetic field at a given place in space is referred to as its magnitude.

It is measured in teslas (T) or gauss (G) units, depending on the measuring technique employed. Because the magnetic field is a vector quantity, it possesses both magnitude and direction.

The size of the magnetic field is governed by several parameters, including the current or magnetic charge that generates the field, the distance from the source of the field, and the field's direction with regard to the measuring device.

Magnetic field magnitude can be determined using mathematical methods that account for these parameters, such as the Biot-Savart law or Ampere's law.

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A system containing 1 atm of an ideal gas is doubled in temperature and halved in volume. What is the new pressure? 2 atm 1 atm 0.5 atm 4 atm

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The new pressure is 2 atm. So the correct answer is (A).

What is ideal gas law?

The ideal gas law states that PV = nRT, where P is pressure, V is volume, n is the number of moles of gas, R is the gas constant, and T is temperature in Kelvin.

Since the gas is ideal, the number of moles and the gas constant remain constant, so we can write:

[tex]P1V1/T1 = P2V2/T2[/tex]

where P1, V1, and T1 are the initial pressure, volume, and temperature, and P2 and V2 are the final pressure and volume.

We are given that the initial pressure is 1 atm, the final volume is half the initial volume, and the final temperature is double the initial temperature. Since temperature is measured in Kelvin, we need to convert the initial temperature of 273 K to 546 K for the final temperature.

Plugging these values into the equation above, we get:

[tex](1 atm)(V1)/(273 K) = (P2)(V1/2)/(546 K)[/tex]

Simplifying, we get:

[tex]P2 = (1 atm)(273 K)/(V1/2)(546 K)[/tex]

P2 = 2 atm

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What kind of charge does each object have?

A. Both are negatively charged.
B. Both are positively charged.
C. A is positively charged, and B is negatively charged.
D. A is negatively charged, and B is positively charged.

Answers

Answer: The answer is D.

Explanation:

The way A is shooting arrows away means its a negative current. On the other hand B is taking them in making B positive. and that's why the answer is D.

The distribution of the heights of students in a large class is roughly bell-shaped. Moreover, the average height is 68 inches, and approximately 95% of the heights fall between 63 and 73 inches. State the approximate standard deviation of the height distribution to one place of decimal with no units.

Answers

Since approximately 95% of the heights fall between 63 and 73 inches, this means that the range of values within two standard deviations of the mean captures 95% of the data.

What is the average height ?The middle of the range (63, 73), which denotes two standard deviations from the mean, is the mean itself, 68 inches, because the average height is 68 inches. As a result, one standard deviation separates 68 inches from either end of the interval (63 or 73 inches).

Therefore, the standard deviation can be roughly expressed as:

(73 - 68) / 1 5 is the standard deviation.

The height distribution's approximate standard deviation, when rounded to one decimal place, is 5 inches. The real standard deviation can be a little bit different from this figure because this approximation relies on the assumption that the height distribution follows a normal distribution.

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what does the change in the period with respect to the eccentricity tell you about the dependence of the period on the eccentricity?

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When the period of an orbit varies with regard to the eccentricity, it indicates that the period is reliant on the eccentricity and that the period will vary as the eccentricity changes.

The period of an object in orbit around another object is the time it takes for the object to complete one full orbit. The period depends on several factors, including the distance between the two objects and the eccentricity of the orbit.

In general, the period of an orbit is longer for orbits with higher eccentricity. This is because an orbit with higher eccentricity spends more time at its furthest distance from the central object, and therefore has a longer distance to travel to complete one full orbit.

The relationship between the period and eccentricity of an orbit is described by Kepler's laws of planetary motion. Kepler's third law states that the square of the period of an orbit is proportional to the cube of the semi-major axis of the orbit. Since the semi-major axis of an elliptical orbit depends on the eccentricity, this means that the period also depends on the eccentricity.

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The five stages of the allegory of the cave are: (1) the prisoners' initial state of ignorance, (2) the introduction of a new reality, (3) the prisoners' resistance to the new reality, (4) the prisoners' acceptance of the new reality, and (5) the prisoners' transformation and enlightenment.

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the particle, initially at rest, is acted upon only by the electric force and moves from point a to point b along the x axis, increasing its kinetic energy by 1.12×10−18 j . in what direction and through what potential difference vb−va does the particle move?

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Particle moves from point a to point b in direction of increasing electric potential, and potential difference between point a and point b is positive.

Electric force is conservative, so work done by electric force is equal to change in potential energy. We know that ΔK = 1.12×10−18 J, and since the particle is initially at rest, its initial kinetic energy is zero. 1.12×10−18 J = -ΔU or ΔU = -1.12×10−18 J

Since electric force work on particle as it moves from point a to point b, the electric potential at point b is higher than point a. Therefore, particle moves from point a to point b in direction of increasing electric potential.

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Under favorable circumstances, including reaction time, a motor vehicle going 50 mph can be stopped within:A) about 550 feetB) about 229 feetC) about 143 feetD) about 78 feet

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A car traveling at 50 mph can be stopped in roughly 229 feet under ideal conditions, including reaction time.

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Two features of nuclear reactions are the formation of new bonds between carbon molecules in resultant particles and the establishment of molecular links amongst individual atoms (particles) (molecules). The quantity of structures changes despite the fact the number of atoms is the same before and after the chemical transition.

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An object's capacity to keep its balance after being shaken up is referred to as stability. An object's center of gravity plays a major role in determining how stable it is.

Why does gravity have a force?

However, gravity is a force in the broadest sense since it defines the interaction that results when two masses are in close proximity to one another. The warping of spacetime and the motion of things through the stretched spacetime are the primary causes of gravitational effects. It appears as though a force was exerted towards the end, though.

What is the simple explanation of gravity?

According to the theory, every particle of matter pulls toward every other particle with a force that is directly proportional to the product of their masses and inversely proportional to the square of their distance from one another.

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The grandfather paradox alteration is a concept in the field of time travel that explores the consequences of a person traveling back in time and altering events in such a way that it prevents their own existence.

The paradox arises when a person travels back in time and kills their own grandfather before their father or mother is conceived, thereby preventing their own birth. This creates a paradox because if the person never existed, they could not have traveled back in time to alter events in the first place.

The grandfather paradox alteration is often used to explore the potential dangers and implications of time travel, as well as the concept of causality and how it relates to time. It is also used to examine the idea of alternate timelines and how changes in the past can create a different present or future.

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The best long-term solution to the pressing energy problems in the United States is a combination of different strategies that aim to increase the use of renewable energy sources, reduce energy consumption, and improve energy efficiency.

Some of these strategies are:

Transitioning to renewable energy sources: The United States needs to shift its reliance on fossil fuels to renewable energy sources such as wind, solar, hydro, and geothermal. This will not only help to reduce greenhouse gas emissions but also create jobs and stimulate economic growth.

Improving energy efficiency: Another important step is to improve energy efficiency in buildings, industries, and transportation. This can be achieved by using energy-efficient technologies, building design, and better transportation planning.

Investing in research and development: There is a need for more investment in research and development of new energy technologies that can help to address the pressing energy problems. This can include new battery technologies, advanced nuclear power, and carbon capture and storage.

Encouraging behavior change: Another crucial step is to encourage behavior change in individuals and businesses to reduce energy consumption. This can be achieved through education, awareness campaigns, and incentives for energy-efficient behavior.

Overall, the best long-term solution to the pressing energy problems in the United States will require a comprehensive approach that integrates these and other strategies to create a more sustainable and resilient energy system.

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What does storm signal number 1 mean?

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Storm signal number 1 is a form of weather caution issued via the Philippine Atmospheric, Geophysical, and Astronomical Services Administration (PAGASA) to alert the public to the opportunity of a tropical cyclone entering the USA.

When a storm sign number 1 is raised, it method that a tropical cyclone, along with a tropical despair or tropical hurricane, is expected to affect a particular region within the next 36 hours.

The winds related to the cyclone aren't yet strong sufficient to cause widespread harm, but they may be sufficient to disrupt transportation and different outside sports.

Throughout storm sign number 1, the general public is cautioned to be vigilant and take precautions, which include securing loose items and staying indoors if feasible.

Fishermen are recommended to keep away from going out to sea, and small vessels are cautioned to take refuge. PAGASA issues hurricane signal warnings up to a wide variety of five, with better numbers indicating more intense climate situations.

The warnings are a crucial tool for helping the general public to put together for and stay safe throughout tropical cyclones, which could reason extensive damage and loss of life within the Philippines.

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which of these illustrates potential energy due to gravity being converted into kinetic energy?a.a hammer dropped off a roof accelerates as it fallsb.a burning log heats a container of waterc.a rubber band becomes harder to pull as it is stretched fartherd.cell in the body convert food molecules.

Answers

The following illustrates potential energy due to gravity being converted into kinetic energy : a. hammer dropped off a roof accelerates as it falls.

What illustrates potential energy due to gravity being converted into kinetic energy?

Hammer dropped off a roof accelerates as it falls illustrates potential energy due to gravity being converted into kinetic energy. When the hammer is dropped, potential energy due to its position above the ground is converted into kinetic energy, which is the energy of motion, as it falls and accelerates towards ground.

If the rock falls from the cliff, the potential energy will be converted to kinetic energy, as the rock will be moving. When the elastic string in a longbow is released, it will cause the arrow to shoot forward.

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An astronaut who fell into a black hole would be stretched be-
a. the gravity is so strong.
b. the gravity changes dramatically over a short distance.
c. time is slower near the event horizon.
d. black holes rotate rapidly, dragging spacetime with them.

Answers

An astronaut who fell into black hole would be stretched be : b. the gravity changes dramatically over short distance.

What is meant by black hole?

Black hole is a place in space where gravity pulls so much that even light can not get out and the gravity is so strong as the matter has been squeezed into tiny space. This can happen when star is dying. As no light can get out, people can't see black holes and they are invisible.

Black hole is a region of spacetime where gravity is so strong that nothing, including light or electromagnetic waves, has energy to escape its event horizon.

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what is the reading w2 of the scale when the ball is held in this submerged position? assume that none of the water that spills over stays on the scale.

Answers

The reading W2 of the scale when the ball is held in this submerged position is 1.00 N.

As the ball is held up mainly by the rod, the fluid pressure on the bottom of the cylinder is entirely the same as before.

The scale doesn't "know" the ball is there ever.

That's why it still reads 1 N.

Thus, the reading is 1 N

The extra force that is exerted by the ball on the water is equal to the force that the water exerts on the ball, i.e., the weight of the displaced water.

Therefore, the reading does not change.

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Which one of the following properties most fundamentally distinguishes mechanical waves from electromagnetic waves? a. Mechanical waves have crests and troughs. b. Mechanical waves require a medium for propagation. c. Mechanical waves have well-defined wavelengths

Answers

b. Mechanical waves require a medium for propagation.

What are mechanical waves?

Mechanical waves, such as sound waves and ocean waves, require a physical medium, such as a solid, liquid, or gas, for their propagation. This means that they can only travel through a material and cannot exist in a vacuum. On the other hand, electromagnetic waves, such as light and radio waves, do not require a medium for propagation and can travel through a vacuum.

Both mechanical and electromagnetic waves can have crests and troughs and well-defined wavelengths, but the requirement of a medium for propagation is what fundamentally distinguishes them. This property of mechanical waves has important implications for their behavior and interaction with matter, such as the way they can be absorbed, reflected, refracted, or diffracted by different materials.

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Which choice names two ways nonmetallic minerals can be used?A)industrial processes and gemsB)conductors and for industrial purposesC)wiring and gems

Answers

The choice names two ways nonmetallic minerals can be used industrial processes and gems

option A

Non-metallic minerals can be utilized as jewels and in industrial operations. Some non-metallic minerals are highly valuable, well-cut, and fetch a premium on the market. Ruby and tourmaline are two examples. Most non-metallic minerals are employed as raw materials in industrial processes. Due to their weak conductivity, these materials cannot be utilized as ones. Because they lack metallic links inside their lattices, they cannot be utilized for wiring.

Since they are of excellent gem grade, they are best employed in industrial operations and for items of value. Numerous industrial uses exist for calcium carbonate in its different forms. In addition to being utilized as a construction material, limestone also serves as a flux in metallurgy and is used to produce calcium cyanamide and lime.

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What is the uncertainty of a cm ruler?

Answers

The ±0.05 cm means that your measurement may be off by as much as 0.05 cm above or below its true value. This value is called the uncertainty or the precision of the instrument.

In physics, uncertainty refers to the degree of doubt or error that is associated with a measurement or calculation. Uncertainty can arise from a variety of factors, such as limitations of measurement equipment, inherent randomness in physical systems, or the limitations of mathematical models.

Uncertainty is an important concept in physics because it is impossible to make perfectly precise measurements or predictions, and understanding the degree of uncertainty associated with a measurement is critical for evaluating the reliability of experimental results and theoretical models. By accounting for uncertainty, physicists can determine the level of confidence that can be placed in a measurement or calculation and make more accurate predictions and decisions.

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if the solution exhibits a maximum absorbance at 445 nm from the spectrometer, the color of the solution is mostly

Answers

if a solution's maximum absorbance is measured at 445 nm from The hue of the solutions is mostly determined by the visible region of the spectrum Blue

What is the spectrophotometer's maximum absorbance?

The useful absorbance range for the majority of spectrometers and colorimeters is between 0.1 and 1. Values of absorbance more than and similar to 1.0 are excessive. Your solution is overly concentrated if the absorbance readings you are getting are 1.0 or higher.

What shade of light has a wavelength between 450 and 500 nm?

wavelength From 390 to 500 nm, blue light represents visible light. Blue light is divided into blue-violet light and blue-turquoise light (380–450 nm) (450 to 500 nm). Blue light is around yet another of all visible light.

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Why do covalent compounds have low melting and boiling points?
A
Weak VanderWaals force of attraction between molecules.
B
Strong VanderWaals force of attraction between molecules.
C
Large amount of energy required to break the force of attraction.
D
None of the above

Answers

The correct option is c. Covalent compounds have low melting and boiling points due to the large amount of energy required to break the force of attraction.

What is a covalent compound?

A covalent compound is a chemical complex that is bound together by covalent bonds. These compounds are made up of two or more atoms of the same or different elements that share electrons. Water ([tex]H_{2} O[/tex]), carbon dioxide ([tex]CO_{2}[/tex]), methane ([tex]CH_{4}[/tex]), and ammonia are examples of covalent molecules ([tex]NH_{3}[/tex]).

Because of the modest Vander Waals force of attraction between molecules, covalent compounds have low melting and boiling points. As a result, just a little amount of energy is required to break the force of attraction and separate the molecules, resulting in a low melting and boiling point.

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If the torque required to loosen a nut that
is holding a flat tire in place on a car has a
magnitude of 44 N · m, what minimum force
must be exerted by the mechanic at the end
of a 23 cm-long wrench to loosen the nut?
Answer in units of N

Answers

If the torque required to loosen a nut that is holding a flat tire in place on a car has a magnitude of 44 N · m,  191.3 N of minimum force must be exerted by the mechanic at the end of a 23 cm-long wrench to loosen the nut.

The minimum force required to loosen the nut can be found using the formula: force= torque/lever arm,where torque is the torque required to loosen the nut, and the lever arm is the distance between the center of the nut and the point where the force is applied.

In this case, the torques are 44 N.m and the lever arm is 23 cm or 0.23 m. therefore the minimum force required to lose the nut is :

force=44 N.m/0.23 m =191.2 N, so the force minimum force that the mechanic must exert at the end of the 23 cm long wrench to loosen the nut is 191. N

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Applying the process of scientific inquiry to find answers for yourself is called scientific _________.

Answers

Applying the process of scientific inquiry to find answers for yourself is called scientific investigation.

What is the process of Scientific investigation?

This process typically involves the following steps:

Formulating a question or problem to be investigatedConducting background research to gather information and understand the current state of knowledgeDeveloping a hypothesis to make predictions about the outcome of the investigationDesigning and conducting experiments to test the hypothesisAnalyzing the data and forming conclusions based on the evidenceCommunicating the results to others through publications or presentations

Scientific investigation is the process of using systematic and systematic methods to gather evidence, test hypotheses, and form conclusions about natural phenomena. It is a self-directed process where a scientist sets out to answer questions, solve problems, or test theories. By using the scientific method, scientists can ensure that their investigation is systematic, controlled, and reliable, and that their conclusions are based on evidence and data.

Therefore, scientific investigation is the correct answer.

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Two large, charged plates with charge density ±30µC/m^2 face each other with a separation of 5.0 mm. The negative plate is grounded, and defined as 0 potential. Find the electric potential at a location 8.0mm from the negative plate, 3.0mm from the positive plate.

Answers

The potential at the given location is 72.5 V higher than the potential at the negative charged plate.

To find the electric potential at the given location, we need to use the formula for the electric potential due to a charged plate, which is:

V = σ/(2ε₀) * [tex]((1 + d)/\sqrt{d^2 + a^2} )[/tex]

where V is the electric potential, σ is the charge density, ε₀ is the electric constant, d is the distance from the plate, and a is the distance between the plates.

First, we need to find the potential at the negative plate, which is defined as 0. This means that the potential difference between the negative plate and the given location is equal to the potential at the given location. So, we only need to calculate the potential difference between the positive plate and the given location.

Using the formula above, we can calculate the potential at the given location as:

V = ([tex]30 microC/m^{2}[/tex]) / (2ε₀) * [tex]((1 + 8 mm)/\sqrt{8^2 + 5^2} )[/tex] - ([tex]30 microC/m^{2}[/tex]) / (2ε₀) * ([tex](1 + 3 mm)/\sqrt{3^2 + 5^2})[/tex]

where ε₀ is approximately[tex]8.85 * 10^(-12) F/m.[/tex]

Plugging in the numbers and solving, we get:

V ≈ 72.5 V

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How does solar energy work? All energy must have a source; what is the source in this case? How do we take the power of the Sun and turn it into usable energy? What can we do with this energy?

Answers

a) Solar energy works when the sun shines on a solar panel and the PV cells in the panel absorb the energy from the sunshine.

b) The sun is where solar energy comes from.

c) Photovoltaic (PV) cells, which are found in solar panels, are used to collect solar energy and convert it into usable electricity.

d) A variety of appliances may utilize solar energy, and it can be used to generate power.

Photovoltaic (PV) cells, which are found in solar panels, are used to collect solar energy and convert it into usable electricity.

As sunlight reaches the PV cells, it generates an electric field that flows as electricity.

This electricity may be used to power homes, businesses, and other electrical devices, as well as be stored in batteries for later use. The two main types of solar energy systems are photovoltaic and solar thermal.

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What law states that energy cannot be created nor destroyed?

Answers

Answer:

Law of conservation of energy

what is the washer method for calculating volume?

Answers

The washer method for calculating volume uses the formula V = integration sign (πR² - πr²)dx.

Washer method is the method aimed to calculate volume of the solid shape using calculus. Washer is a shape which obtained on rotating the functions around x-axis or y-axis on the graph. The washer formula is derived by firstly calculating the area followed by more further calculations moulding it for volume.

So, the formula is -

V = integration sign (πR² - πr²)dx, where R is the external radius and r is the internal radius. Remember that volume is the capacity of any object or shape to contain it's constituents.

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(Hint: Convert thewaiting times to minutes.)Write and solve an inequality to find the possiblevalues of x so that the rectangle has an area of morethan 130 square units.The rectangle is 5 on the left side and 3x + 2 on the bottom This question is about assembly instructions and operand modes. For each of the following descriptions, give a single x86-64 assembly instruction and operands to implement the described semantics. Example: Copy the low-order 4 bytes of register %rdi into the low-order 4 bytes of register %rdx.movl %edi, %edxa. Load 8 bytes from memory beginning at the address stored in %rdi, into %rax.b. Store the low-order 2 bytes of %rcx into memory 16 bytes past the address stored in %rsi.c. Multiply the 8-byte value in %rax by 8. Do not use mul or imul.d. Multiply the 8-byte value in %rdx by 9, subtract 14, and put the result in %rsi. How can a strong national government affect races to the bottom?a. Oppose higher standards than states facing competition are able tob. organize and structures Interstate commercial bids for Corporationsc. legislatures against competition between states to ensure a strong economyd. protects and enforces regulations against Corporation by using the threat of exit Whats the biggest lie youve ever told someone? And why?(Do 5 sentences please!) what will happen if the variable total has the value 5 when the following code is executed? if total > 8: print('collywobbles')A. the word collywobbles is not printed and processing continues. B. the word collywobbles is not printed, but an error message is. C. the word collywobbles is not printed and an exception is thrown. D. the word collywobbles is printed and then processing continues. what is the main massage of their eyes were watching god film HELPPP PLEASE WILL GIVE BRAINLIEST Which statement describes the most likely message of this passage?At a party, Katerina sees that Tanya is sitting quietly on the couch and not talking to anyone. Katerina asks Tanya if shed like to help her serve the food. Tanya agrees, and they start talking as they work. Soon, Tanya is chatting and laughing with the other guests, and they all agree to meet again the following weekend. Years later, Tanya says that she has never had such a good group of friends. A. Sometimes people just need a little support to be able to flourish.B. People should only be asked to help if theyve offered to first.C. Everyone has moments at parties when they dont know what to say.D. Being shy is a problem that follows people throughout their lives. Explain the multiplicities between the following two classes. Cash Receipt (1..*) ---- (1..1) CustomerThe (1..1) means each cash receipt is from one and only one customer. What is the certifying organization for automotive service technicians Find the domain of the rational expression: x-5/3x-6 A. All real numbers except 0 B. All real numbers except 2 C. All real numbers except 6 D. All real numbers except 5 Fill The Blank! i am going for a walk. this statement is an example of _______. moreover, this concept is seen as the self as a subject- an active, creative, spontaneous person. Who is the name of the lakota man who shot and killed lt. edward casey was let free at trial because the judge considered his actions non-murderous because a state of war existed between the u.s. and the lakota. consider the statement: for all integers a and b, if a is even and b is a multiple of 3, then ab is a multiple of 6. (a) prove the statement. what sort of proof are you using? (b) state the converse. is it true? prove or disprove. Collin did the work to see if 10 is a solution to the equation StartFraction r Over 4 EndFraction = 2.5.StartFraction r Over 4 EndFraction = 2.5. StartFraction 10 Over 4 EndFraction = 2.5. 2.5 = 2.5.Is 10 a solution to the equation?Yes, because 10 and 4 are both even.Yes, because if you substitute 10 for r in the equation and simplify, you find that the equation is true.No, because 10 is not divisable by 4.No, because if you substitute 10 for r in the equation and simplify, you find that the equation is not true.