A freight train traveling at a speed of 18.0 m/s begins braking. The train's acceleration while breaking is -0.33 m/s^2. What is the train's speed after 23.0 seconds?

Answers

Answer 1

Answer:

The train's speed after 23.0 seconds of braking is approximately 9.41 m/s.

Explanation:

Using the kinematic equation:

v_f = v_i + a*t

where:

v_f = final velocity (what we are trying to find)

v_i = initial velocity (18.0 m/s)

a = acceleration (-0.33 m/s^2)

t = time (23.0 s)

Plugging in the values:

v_f = 18.0 m/s + (-0.33 m/s^2)*(23.0 s)

v_f = 9.41 m/s


Related Questions

Akito pushes a wheelbarrow with 800 W of power. How much work is required to get the wheelbarrow across the yard in 12 s? Round your answer to the nearest whole number.

Answers

It requires 9600 joules of work to get the wheelbarrow across the yard in 12 seconds. Rounded to the nearest whole number, the answer is 9600 J.

How is power related to work and time?

Power is the rate at which work is done or energy is transferred, and it is measured in watts (W). Work is the amount of energy required to move an object, and it is measured in joules (J). Time is the duration over which work is done, and it is measured in seconds (s). Power is calculated by dividing the amount of work done by the time taken to do it, or by multiplying force by velocity. Mathematically, we can represent the relationship between power, work, and time as: Power = Work / Time

We can use the formula: Work = Power x Time

To find the work required, we can plug in the given values:

Work = 800 W x 12 s

Work = 9600 J

Therefore, it requires 9600 joules of work to get the wheelbarrow across the yard in 12 seconds. Rounded to the nearest whole number, the answer is 9600 J.

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what is the frequency of a 7.43 x 10-5 m wave

Answers

The frequency of a [tex]7.43 * 10^(-5)[/tex] m wave is approximately [tex]4.04 * 10^(12)[/tex] Hz.

The frequency of a wave is the number of complete wave cycles that pass a given point in one second, and it is measured in hertz (Hz). To calculate the frequency of a wave, we can use the formula:

frequency = wave speed / wavelength

where the wave speed is wave speed, and the wavelength is distance between two points of the wave.

In this case, we are given the wavelength of the wave, which is [tex]7.43 * 10^(-5)[/tex]meters. However, we are not given the wave speed, so we cannot calculate the frequency directly. If we assume that the wave is an electromagnetic wave, then we can use the speed of light as the wave speed, which is approximately [tex]3 * 10^8[/tex] meters per second.

Put values:

frequency = [tex](3 * 10^8 m/s) / (7.43 * 10^-5 m)[/tex]

frequency = [tex]4.04 * 10^(12)[/tex] Hz

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a scuba diver has been deep underwater and suddenly rises to the surface too fast. why does the divers get decompression sickness?

Answers

The divers get decompression sickness as the pressure decreases too fast and nitrogen gas in the blood forms bubbles.

Decompression sickness which is also referred to as diver's disease, is a medical condition which is caused by dissolved gases emerging from solution as bubbles, inside the body issues, during decompression.

When a diver ascends too quickly, it can lead to forming bubbles in the blood, which in turn can damage tissues and eventually lead to nerve damage. If bubbles develop in the brain during certain instances of extreme impact, it can also result in paralysis or even death of the diver.

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Two similar spheres A and B, have charges of +2 * 10 ^ -6 * C and + 1 * 10 ^ -6* C The of the electrostatic force on A due to B is 2.4 Newtons. What is the magnitude of electrostatic force on B due to A. Why ?

Show work please and explain.

Answers

The magnitude of electrostatic force on B due to A is  0.24 N

How do we calculate?

We can calculate the magnitude of the electrostatic force on sphere A due to sphere B  using the Coulomb's law:

Force at AB = (kq_Aq_B)/r^2

F_AB = (9 x 10^9 N m^2/C^2) * (+2 x 10^-6 C) * (+1 x 10^-6 C) / r^2

F_AB = 18 N / r^2

We are also have that the Force at AB = 2.4 N, hence we calculate for r

2.4 N = 18 N / r^2

r^2 = 18 N / 2.4 N

r^2 = 7.5 m^2

r = √(7.5) m

The force on sphere B due to sphere A using Coulomb's law:

F_BA = (kq_Aq_B)/r^2

F_BA = (9 x 10^9 N m^2/C^2) * (+2 x 10^-6 C) * (+1 x 10^-6 C) / (7.5 m^2)

F_BA = 0.24 N

The  reason for this result is because of the law of Coulomb which  states that the electrostatic force between two charged objects is directly proportional to the product of their charges and inversely proportional to the square of the distance between their centers.

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a certain screw jack has a pitch of 0.1cm and the diameter of the wheel to which the turning effect det up is 50cm. if the efficiency of the jack screw is 40%. what must be the force applied to lift a load of 25,000N?

Answers

A force of approximately 39.77 N must be applied to lift a load of 25,000 N, given the specified pitch of the screw jack and the efficiency of 40%.

The pitch of a screw jack is the distance traveled by the load for each revolution of the screw. In this case, the pitch is given as 0.1 cm, which means that for each complete turn of the screw, the load is lifted by 0.1 cm. The diameter of the wheel to which the turning effect is set up is given as 50 cm, which means that the circumference of the wheel is 50 cm x pi = 157.08 cm.

The efficiency of the jack screw is given as 40%, which means that the actual force required to lift the load is 1/0.4 = 2.5 times the ideal force. Therefore, the ideal force required to lift the load of 25,000 N is:

Ideal force = Load / Mechanical Advantage

The mechanical advantage of a screw jack is given by the formula:

Mechanical Advantage = circumference of wheel / pitch of screw

Substituting :

Mechanical Advantage = 157.08 cm / 0.1 cm = 1570.8

Ideal force = 25,000 N / 1570.8

Ideal force = 15.91 N (to two decimal places)

The actual force required to lift the load is 2.5 times the ideal force:

Actual force = 2.5 x 15.91 N

Actual force = 39.77 N (to two decimal places)

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The energy required to begin nuclear fusion in a protostar comes from: A. the wind from nearby stars. B. the pressure from the interstellar medium. C. the gravitational potential energy of the protostar. D. the kinetic energy of the protostar.

Answers

The energy required to begin nuclear fusion in a protostar comes from  C. the gravitational potential energy of the protostar.

What is nuclear fusion?

Atomic nuclei join together to form a heavier nucleus during nuclear fusion, which releases a significant quantity of energy. A reaction known as nuclear fusion occurs when two or more atomic nuclei fuse to create new atomic and subatomic particles. Energy is released or absorbed depending on how much mass there is between the reactants and products.

Natural nuclear fusion occurs in stars, such as the Sun, when hydrogen nuclei combine to generate helium and release energy that powers the Sun's light and heats the Earth. Although fusion has also been utilized to create nuclear weapons, work is still being done to harness fusion energy for the production of electricity.

Therefore, option C is c orrect.

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Two pieces of silk have an electric charge after being rubbed on a piece of amber. What will happen when the two silk pieces are brought close together?A.They will repel one anotherB.They will attract one anotherC.They will transfer their electrons from one to the otherD.They will not affect one another

Answers

Answer:

B. They will attract one another

Explanation:

When two pieces of silk that have acquired an electric charge are brought close together, they will either attract or repel each other, depending on the nature of the charges.

If the two pieces of silk have the same type of charge (both positive or both negative), they will repel each other. This is because like charges repel each other.

On the other hand, if the two pieces of silk have opposite charges (one positive and one negative), they will attract each other. This is because opposite charges attract each other.

Therefore, the answer is B. They will attract one another if they have opposite charges, and they will repel each other if they have the same charge.

What is an ionic bond? Explain with an example?

Answers

A bond that is formed by a positively charged ion to a negatively charged ion is termed as an ionic bond. An example is sodium chloride.

When two atoms with great difference in electronegativities forms a bond, the electrons are completely transferred between the atoms and are ionized. These positive and negative charged ions forms a bond purely based on the electrostatic force of attraction. Such a compound is called an ionic compound.

Usually an electropositive metal in 1st and 2nd group of periodic table  reacts with non-metals in 16th and 17th group to form ionic compounds. Lets consider the example of sodium chloride.

The electronic configuration of sodium is 2, 11, 1

Electronic configuration of chlorine is 2, 8, 7

Sodium is an electropositive metal and it has a tendency to lose electron to complete octet electronic configuration. Chlorine on the other hand is an electronegative non- metal, tends to lose electrons. So the sodium when reacting with chlorine loses its outer electron and become Na⁺ and the chlorine gains the electron and become Cl⁻.

So an electrostatic force of attraction is formed between the ions and form the compound Na⁺Cl⁻.

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are there differences in the physical apprearance in each stage of an individual what are these

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It's important to remember that not all individuals will experience the same physical changes at the same rate, and some may experience different changes due to genetics, lifestyle, and other factors.

Yes, there are differences in the physical appearance of an individual in each stage of their development. Here are some of the physical differences that typically occur at different stages:

Infancy: Infants are typically small in size and have a rounded head with soft spots (fontanels) that allow for skull growth. They have little to no hair and their skin is soft and delicate. They also have a weak neck that needs support.Childhood: Children grow rapidly during childhood, and their physical appearance changes considerably. They develop more muscle mass, their bones grow longer, and their facial features become more defined. Children also develop more hair and their skin becomes less delicate.Adolescence: Adolescence is marked by significant physical changes, including the development of secondary sexual characteristics such as breasts and pubic hair in girls, and facial hair and deepening of the voice in boys. Adolescents also grow taller and their bodies become more muscular.Adulthood: In adulthood, physical changes continue to occur but at a slower rate. Skin starts to lose elasticity, wrinkles and age spots may appear. Hair may start to thin or turn gray. The body also begins to lose muscle mass and bone density.Old age: As individuals age, they may experience a variety of physical changes such as reduced mobility, decreased flexibility, and a loss of hearing and vision. Skin continues to lose elasticity, and wrinkles and age spots become more pronounced. Hair may become thin or fall out entirely, and bones may become more brittle, leading to an increased risk of fractures.

It's important to remember that not all individuals will experience the same physical changes at the same rate, and some may experience different changes due to genetics, lifestyle, and other factors.

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A siren is located due west of your position. the sound is transmitted to your ear by:

a air vibrating in a north-south direction only.

b air vibrating in a west-east direction only.

c gaie vibrating in a vertical direction only.

d air moving continuously westward only. ​

Answers

A siren is located due west of your position. the sound is transmitted to your ear by air vibrating in a west-east direction. Thus, the correct option is B.

What are Sound waves?

A sound wave is the pattern of disturbance which is caused by the movement of energy which is traveling through a medium such as air, water or any other liquid or solid matter as it propagates away from the main source of the sound. Sound waves are created by the vibrations of object and produce pressure waves, for example, a ringing cellphone and a bell.

A siren which is located due west of the position, the sound will be transmitted to the ear by air which is vibrating away form the siren that is in a west-east direction.

Therefore, the correct option is B.

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how many grams is a kilo

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A kilo is a commonly used unit of measurement for mass, which is equivalent to 1,000 grams. The term "kilo" comes from the Greek word "khilioi," meaning "thousand."

In the metric system, the gram is the base unit of mass, with all other units of mass derived from it. The prefix "kilo" is used to indicate that the quantity being measured is 1,000 times larger than the base unit.

Therefore, one kilogram (kg) is equal to 1,000 grams (g). This relationship between kilograms and grams is often used in a wide range of applications, from measuring the weight of everyday objects to determining the mass of larger objects such as vehicles, animals, or building materials.

Understanding the relationship between kilograms and grams is essential for performing accurate measurements and calculations involving mass, particularly in scientific and industrial settings where precise measurements are critical.

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how many square feet in a yard

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There are 9 square feet in a yard.

A yard is a unit of measurement in the Imperial system that is used to measure length or distance. It is equal to three feet or 36 inches. However, when it comes to measuring an area, we have to multiply the length and width to get the area in square feet.

Therefore, a square yard has an area of 9 square feet. This conversion is commonly used in measuring the size of a lawn or garden. Knowing how many square feet are in a yard is essential for homeowners who want to buy sod, fertilizer, or other lawn care products.

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FILL IN THE BLANK. a test that is ___________ actually measures what it is supposed to measure (for example, a test designed to measure intelligence actually measures intelligence and not socioeconomic status).

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A valid test captures the data that it is intended to capture (for example, a test designed to measure intelligence actually measures intelligence and not socioeconomic status).

What does intelligence actually mean?

Intelligence, which has developed in lifeforms to adapt to various surroundings for their survival and reproduction, may be described as the capacity to solve complicated issues or make judgments that benefit the actor.

Why is it so hard to categorize intelligence?

It's challenging to define an abstract term like intelligence. We can all agree that it is a measure of some mental capacity, yet the term "mental capacity" can refer to a wide variety of things.

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Find the magnitude of the sum of a 15 km displacement and 25 km displacement when the angle between them is 90 degree

Answers

The magnitude of the sum of the 15 km displacement and the 25 km displacement when the angle between them is 90 degree is 29.0 km.

What is magnitude?

Magnitude is a measure of the size or intensity of a physical quantity. It can be used to describe the size of earthquakes, stars, and other objects in the physical world. Magnitude is often expressed using logarithmic scales, which allow for more precise measurements of large and small quantities. For example, the Richter scale is used to measure the magnitude of earthquakes, and the magnitude of stars is measured using the stellar magnitude system.

The magnitude of the sum of two displacements can be calculated using the Pythagorean theorem. Here, the two displacements form the legs of a right triangle, with the hypotenuse being the resultant displacement.

The magnitude of the resultant displacement is given by:

Resultant Displacement = √(15 km)² + (25 km)²

Resultant Displacement = √(225 km² + 625 km²)

Resultant Displacement = √850 km²

Resultant Displacement = 29.0 km

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when an airplane is flying at a constant speed relative to the ground, is it correct to say that the mach number of this airplane is also constant?

Answers

The aircraft's Mach number will fluctuate. This is so because the Mach number is based on the sound speed.

What is Mach number?

In fluid dynamics, the Mach number is a dimensionless variable that measures the ratio of flow velocity to the local sound speed past a boundary.

In order to approximate treating a flow as an incompressible flow, the Mach number is usually used. The medium might be either a liquid or a gas.

The ratio of an object's speed to the sound speed in a certain medium is known as its Mach number. Therefore, Mach 1 is the speed of sound, which on an average day at sea level is approximately 761 mph.

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a point charge is surrounded by a spherical gaussian surface of radius r. if the sphere is replaced by a cube of side r, will £e be larger, smaller, or the same? ex

Answers

The electric flux through the cube will be the same as the flux through the spherical gaussian surface, provided that the cube is large enough to contain the entire sphere.

For a point charge, the electric flux density is proportional to 1/r^2, where r is the distance from the charge. The total flux through a spherical gaussian surface of radius r is given by the product of the flux density and the surface area of the sphere, which is proportional to r^2.

Similarly, the total flux through a cube of side r that encloses the same point charge is also proportional to r^2, as long as the cube is large enough to contain the entire sphere.

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--The complete question is, A point charge is surrounded by a spherical gaussian surface of radius r. if the sphere is replaced by a cube of side r, will electric flux be larger, smaller, or the same?--

by how many orders of magnitude does density vary for metals

Answers

The density of metals can vary by orders of magnitude, meaning the difference between the densest and least dense metals can be multiple times greater than the difference between the densest and least dense other materials.

For example, the densest metal is osmium, which has a density of 22.6 g/cm3. The least dense metal is lithium, which has a density of 0.53 g/cm3. The difference between these two metals is approximately 42 times greater than the difference between the densest and least dense non-metals. The density of metals also varies based on their atomic structure, with heavier atoms having a greater density than lighter atoms. Additionally, the density of metals can be affected by temperature, with higher temperatures leading to lower densities.

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If the temperature is constant, what change in volume would cause the pressure of an enclosed gas to be reduced to one quarter of its original value?

Answers

Answer:

Explanation:

From ideal gas equation PV=nRT

n is the number of moles, R is the gas constant = 0.0821 atm•L/mol•K

Since temperature is constant, P1V1=P2V2

P1V1=P1/4*V2

V2=4V1

Volume of the gas must be increased 4 times

an object has two forces acting on it. one force with a magnitude of 10 n acts in a northerly direction. the other force with a magnitude of 10 n acts in an easterly direction. what is the magnitude of the net force acting on this object?

Answers

Answer:

0 N

Explanation:

Draw a force diagram to show in which directions the forces are acting.

Fnet= Fnorth + F east

0= Fnorth+ F east

F north=F east

10N = 10N

the forces cancel out.

what is the tension in the string number 1 if m1 = 6.0 kg and m2 = 2.0 kg ?

Answers

The tension in the string connecting the two masses is 26.16 N when m1 = 6.0 kg and m2 = 2.0 kg.

In this issue, we have two masses associated by a string. We are given the mass of each article (m1 = 6.0 kg and m2 = 2.0 kg) and requested to find the pressure in the string associating them.

To take care of this issue, we can utilize the idea of Newton's Subsequent Regulation, which expresses that the net power following up on an item is equivalent to its mass times its speed increase. For this situation, the two masses are associated by a string, so they are both advancing rapidly at a similar rate.

We can utilize the condition F = ma*ma, where F is the net power, m is the joined mass of the two items, and an is their speed increase. Since the items are associated by a string, the strain in the string gives the net power.

Utilizing this condition, we can observe that the strain in the string is equivalent to (m1 + m2) * a. The speed increase can be found utilizing the condition a = (m1 - m2) * g/(m1 + m2), where g is the speed increase because of gravity [tex](9.81 m/s^2).[/tex]

Connecting the given qualities, we get:

a =[tex](6.0 kg - 2.0 kg) * 9.81 m/s^2/(6.0 kg + 2.0 kg) = 3.27 m/s^2[/tex]

Pressure = [tex](6.0 kg + 2.0 kg) * 3.27 m/s^2[/tex]= 26.16 N.

Accordingly, the pressure in the string associating the two masses is 26.16 N.

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thermal energy is transferred between objects only when they have different ______.

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Thermal energy is transferred between objects only when they have different temperatures.

The movement of atoms and molecules within a substance is a form of energy known as thermal energy.

When two objects are in contact, or even in proximity, the atoms and molecules in the hotter object collide with those in the colder object.

Because of these effects, a portion of the kinetic energy from the more sizzling object is moved to the colder object, raising the temperature of the previous and bringing down the temperature of the last option.

A material's thermal conductivity — an estimation of how well it moves heat — decides how rapidly heat is moved between various sorts of materials.

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the difference between the approved reimbursement and what the physician is charging is called the:

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The difference between the approved reimbursement and what the physician is charging is called: adjustment.

Reimbursement Approval is defined as the approval, agreement, determination, or decision recommending and otherwise approving the Merchandise for use and/or establishing the Product's prices that can be reimbursed in regulatory cities and counties.

Most companies' laws require the bills and the justification for the outlay to be submitted. You can submit bills for reimbursement, and the business finance department will endorse them based on your qualifications.

Reimbursement is profit paid to an employee, customer, or some other party to cover a business expense, general liability, taxes, or other costs. Out-of-pocket expenses, such as travel and food, are included in business expense reimbursements.

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miguel is investigating a fire that took place a few days ago. miguel wants to collect evidence from any accelerants. how long does it usually take for petroleum-based accelerants to evaporate? a) several days. b) several weeks. c) several hours

Answers

Option A) is correct. It can take several hours to several days for petroleum-based accelerant to fully evaporate from a surface.

The rate at which a petroleum-based accelerant evaporates can depend on a variety of factors such as the temperature, humidity, wind, and the type of accelerant used. Generally, it can take several hours to several days for petroleum-based accelerants to fully evaporate from a surface.

In a fire investigation, it is important to collect samples of any accelerants as soon as possible to avoid the risk of the accelerants evaporating and leaving no trace. If the accelerant is not collected within the appropriate time frame, it could potentially compromise the investigation.

Miguel should be aware of the environmental conditions and any factors that may influence the evaporation rate of the accelerant. He should take care to collect evidence in a timely manner and follow proper protocols to preserve any potential evidence. It is also recommended that Miguel consult with experts in the field to determine the best course of action in collecting and analyzing evidence related to the fire.

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Answer: A

Explanation:

what is the net force definition?

Answers

Answer:

Explanation: The Net force is the some of all forces that act upon an object

High-frequency signals are often transmitted along a coaxial cable, such as the one shown in the figure (Figure 1) . For example, the cable TV hookup coming into your home is a coaxial cable. The signal is carried on a wire of radius R1 while the outer conductor of radius R2 is grounded (i.e., at V=0V). An insulating material fills the space between them, and an insulating plastic coating goes around the outside.1) Find an expression for the capacitance per meter of a coaxial cable. Assume that the insulating material between the cylinders is air.Express your answer in terms of the given quantities and constants ? and ?0.2) Evaluate the capacitance per meter of a cable havingR1=0.20mm and R2=4.3mm.Express your answer using two significant figures.

Answers

The capacitance per meter of a cable having R₁=0.20 mm and R₂=4.3 mm is 2.2 pF/m (using two significant figures).

What is Capacitance?

Capacitance is a property of an electrical circuit that describes its ability to store electrical charge. It is defined as the ratio of the amount of electric charge stored in a capacitor to the voltage applied across it. The unit of capacitance is the farad (F), which is defined as the amount of capacitance that stores one coulomb of charge when one volt is applied across it.

The capacitance per meter of a coaxial cable can be found using the formula:

C = (2πε₀/ln(R₂/R₁)) * (1/d)

where ε₀ is the permittivity of free space [tex]\mathrm{ (8.85 \times 10^{-12} F/m)}[/tex] , ln is the natural logarithm, R₁ is the radius of the inner wire, R₂ is the radius of the outer conductor, and d is the distance between the two conductors.

Since air is the insulating material between the cylinders, we can assume that its relative permittivity is equal to 1. Therefore, the capacitance per meter of a coaxial cable becomes:

C = (2πε₀/ln(R₂/R₁))

Substituting the given values of R₁ and R₂, we get:

C = (2πε₀/ln(4.3 mm/0.20 mm)) = 2.2 pF/m

Therefore, the capacitance per meter of a cable having R₁=0.20 mm and R₂=4.3 mm is 2.2 pF/m (using two significant figures).

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Which quantum number determines the energy of an electron in a hydrogen atom?
(a) n
(b) E
(c) ml
(d) I
(e) n and I.

Answers

"The quantum number which determines the energy of an electron in a hydrogen atom is n." Correct option is A.

The primary, azimuthal, magnetic, and spin quantum numbers are the four types of quantum numbers.

The only factor that affects an electron's energy in a hydrogen particle is its primary quantum number. The energy of the electron is determined by the primary quantum number n value that best represents the energy state of an electron in a hydrogen atom.

The primary energy state that the electron occupies is represented by the principal quantum number. Energy levels are pre-determined lengths from an atom's nucleus.

Only one electron can be found in a molecule of hydrogen (1 e). As a result, the principal quantum number is the only one that accurately describes the quantum number that defines the energy of an electron in this atom. The sign for the main quantum number is n. So, the correct option is A.

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PLEASE ANSWERRRRRRRR

Answers

Bill made the saturated solution

What is the solubility?

Solubility is the maximum amount of a solute that can dissolve in a given amount of solvent at a specified temperature and pressure. It is often expressed in units of grams of solute per 100 grams of solvent or in moles of solute per liter of solution.

The solubility of a substance depends on several factors, including the nature of the solute and solvent, the temperature and pressure of the system, and the presence of other dissolved substances or impurities. In general, as the temperature of a solution increases, the solubility of solids in the solution also increases, while the solubility of gases decreases.

The solubility of NaCl at 80 degrees is  40 g

The solubility of KNO3 at 80 degrees is 50 g

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what is units for joules?

Answers

The work performed by a force of one newton acting through one meter is equivalent to one joule, a unit of work or energy in the International System of Units (SI). James Prescott Joule, an English physicist, inspired the name.

The fundamental SI unit of energy is called a joule, or J. One joule is equal to one kgm²/s², or the kinetic energy of a kilograms mass travelling at one meter per second. As an alternative, it is the amount of work that is performed on an object when a force of one newton operates over a distance of one meter in the direction of the object's motion (1 joule equals 1 newton meter or Nm). The system bears James Prescott Joule's name. Because it is a person's name, the symbol's first letter is capitalised (J instead of j). The term is, however, written in lowercase when it is written out.

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what is pressure of atmosphere?

Answers

The pressure of the atmosphere, also known as atmospheric pressure, is the force per unit area exerted by the weight of the Earth's atmosphere above a given point.

It is typically measured in units of pascals (Pa) or millimeters of mercury (mmHg). At sea level, the average atmospheric pressure is about 101,325 Pa or 760 mmHg, which is commonly referred to as one standard atmosphere (1 atm). Atmospheric pressure decreases with altitude due to the decreasing weight of the atmosphere above. Changes in atmospheric pressure can affect weather patterns and can have significant impacts on human and animal health.

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Two disks, A and B, are initially at rest at the left end of a track, as shown above. Disk B is more massive than disk A. The track has a horizontal section and then curves upward at the right end. The disks are each pushed to the right over a distance x0
by identical constant horizontal forces of magnitude F
. There is negligible friction between the track and the disks.

The figure presents two graphs, both in the first quadrant. For both graphs, the horizontal axis is labeled Position, the vertical axis is labeled Velocity, and the origin is labeled O. The graph on the left is labeled Graph 1. The graph is a curve that begins at the origin and extends upward and to the right, with a slope that is steeper near the origin and less steep at the upper right end of the curve. The second graph is labeled Graph 2. The graph is a straight line that begins at the origin and extends upward and to the right.

(a) Which of the graphs shown above correctly models the velocity of disk A as a function of position as it is being pushed by the force? Justify your answer.

(b) After sliding across the horizontal portion of the track, both disks slide partway up the curved section of the track. Identify which disk, if either, reaches a greater maximum height. If both disks reach the same maximum height, state this explicitly.

(c) In a clear, coherent paragraph-length response, justify your answer to part (b).

(d) Consider the case where friction is not negligible and the coefficient of kinetic friction between each disk and the track is the same. The disks are again pushed by the same force over the same distance, and each disk slides partway up the ramp. Identify which disk, if either, would reach a greater maximum height than the other in this case. If both disks reach the same maximum height in this case, state this explicitly. Briefly justify your answer.

Answers

The velocity vs displacement curve will be a parabolic graph and the height attained by object B will be lesser than object A.

What is Velocity?

Velocity is the change in displacement of an object with the change in time. It is a vector quantity because it has both magnitude and direction. The SI unit of velocity is meter per second (m/s).

u = 0

x₀ = Distance travessed by both the discs

F= constant

f = 0

a) (F-f) = ma

a = F/ m

v² = u² + 20x

v² = 0 + (2F/m)x

v = [tex]\sqrt{(2f/m)x}[/tex]

v v/s x curve will be similar to parabolic graph of v² = (2f/ m)x

b) Energy would be conserved for both.

Since, velocity gained by both is same as Vi = [tex]\sqrt{(F/m)Xo}[/tex]

-mgh = 1/2mvf² - 1 mvi² = - 1 mvi²

mgh = 1/2mvi² = FXo/2m  (Since, vf = 0)

So, h = (FXo/ 2mg)

Since, mb > ma

Hb < Ha

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