The expected position of a particle in the n = 8 state in an infinite well is 1.45 units.
The wave function for a particle in the nth state of an infinite potential well of width L is given by:
Ψₙ(x) = √(2/L) sin(nπx/L)
Here,
n = quantum number,
L = width of the well, and,
x = position of the particle.
In given case,
n = 8
∴ Ψ₈(x) = √(2/L) sin(8πx/2)
To find the expected position of a particle in the n = 8 state, we need to calculate the integral:
<x> = ∫ [Ψ₈(x)]² dx
Substituting the expression for Ψ₈(x) and simplifying, we get:
<x> = (L/2) × ∫sin²(8πx/2) dx
Using the identity sin²θ = (1/2)(1-cos(2θ)), we can simplify this to:
<x> = (L/2) × ∫[(1/2)(1-cos(16πx/2)] dx
After Integrating, we will get:
<x> = (L/4) × [2 - (1/16π)sin(16π)]
Now, substituting L = 2, we get:
<x> = 1.45
Therefore, the expected position of a particle in the n = 8 state in an infinite well (for L = 2) is 1.45 units.
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summary of a article“flexible benefits”
Patti is driving her son, Jacob, to college at Prairie View. Patti is driving the legal posted speed limit of sixty-five miles per hour. Steve is on his way to PV, as well, but he is late and is driving a brisk 104 mi/h. Relative to Steve, Patti’s velocity is
Answer:
-39 mph
Explanation:
65 - 104 = -39 mph
SHOW COMPLETE STEPS AND ANSWER IN THIS QUESTION!
(YOU WILL BE MARKED AS BRAINLIST IF YOU ANSWERED WITH COMPLETE STEPS)
Determine how much it would cost to heat a home's water for an hour every day for 60 days using a 2kW immersed rod at a rate of Rs. 1.50 per unit.
Why do you use the word "immersion"?
The act of totally coating something with a substance by dipping it into is called immersion. It could be literal—like diving headfirst into water—or metaphorical—like entirely giving yourself over to a task.
Why do we use immersion?
Answer and justification The resolution of a microscope is improved with immersion oil. It lessens the loss in light brought on by the specimen's refraction (light bending). When light passes through a different material, like a piece of glass
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An full shopping cart with a mass of 100. kg is moving at 5.0 m/s and runs into a stationary shopping cart that is empty (30. kg). After the collision, the full shopping cart is moving at 2.7 m/s. What is the empty shopping cart moving at?
The empty shopping cart is moving at 7.67 m/s.
What is law of conservation of momentum?According to the law of momentum conservation, momentum is only modified by the action of forces as they are outlined by Newton's equations of motion; momentum is never created nor destroyed inside a problem domain.
Total initial momentum = total final momentum
100 kg ×5.0 m/s + 30 kg ×0 m/s = 100 kg ×2.7 m/s + 30 kg ×v
v = (5.0 - 2.7)(100/30) m/s
= 7.67 m/s.
Hence, the empty shopping cart is moving at speed of 7.67 m/s.
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A projectile with mass m is fired with initial horizontal velocity vx from height.
The change that will would have resulted in a greater time for a projectile of mass m fired with an initial horizontal velocity vx from a height h above the ground is increase the height traveled by the projectile to 2h (option D)
The projectile's flight time is determined using the formulas below;
h = v₀t + ½ gt²
Where:
h = height (m)
v₀ = the starting velocity (m/s)
t = time (s)
g = the acceleration due to gravity (9.8m/s²)
v₀ (initial vertical velocity of the projectile) = 0
Hence,
2h = gt²
t = [tex]\sqrt{\frac{2h}{g} }[/tex]
The projectile's mass has no impact on how long it takes to travel if friction caused by air resistance is disregarded.
In the vertical direction, the initial horizontal velocity is not taken into account.
Therefore, increasing the projectile's height to 2h is the only method to lengthen its flight time.
The question is incomplete, it should be:
A projectile with mass m is fired with initial horizontal velocity vx from height h above level ground. Which change would have resulted in a greater time of flight for the projectile? [Neglect friction.]
A. decreasing the mass to m/2
B. decreasing the height to h/2
C. increasing the initial horizontal velocity to 2vx
D. increasing the height to 2h
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Please help, will give brainiest
QUESTION 1.
Element X on Planet Qatar has three known isotopes: X-121 with a relative abundance of 43.2%, X-123 with a relative abundance of 53.1%, and X-129 with a relative abundance of 3.70%. What is the average atomic mass in amu of Element X given this information?
QUESTION 2.
How did Rutherford's experiment change the way scientists had previously viewed atomic structure? How did this pave the way for subsequent changes up to and including the currently accepted quantum mechanical atomic model?
QUESTION 3.
How is percent abundance related to average atomic mass?
a) The relative atomic mass is 122.35
b) The Rutherford model produced the planetary model of the atom and laid the foundation for the Bohr model
c) The percentage abundance shows the most popular isotope.
What is the relative abundance?We need to know that an element must be composed of the isotopes of the element. We have to know also that the isotopes of the element would all have the same atomic number but they would have different mass numbers for each of the elements that are under study.
We need to determine the average atomic mass of the element X as follows;
(121 * 0.432) + (123 * 0.531) * (129 * 0.037)
= 52.27 + 65.31 + 4.77
= 122.35
We can see that the calculation that we have made above has given the relative atomic mass of the isotope to be about 122.35.
Rutherford showed by experiment that at the core of the atom lies the nucleus around which the electrons evolve as planets round the sun hence the name planetary model. The furthered the ideas that led to the Bohr model of the atom.
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Electric charges surround you all the time. Some electric charges, such as lightning, are quite strong. Others are barely noticeable. What happens
when two electrically charged objects get near each other? Circle the response that best matches your thinking.
A. The two objects will be pulled toward each other.
B.The two objects will be pushed away from each other.
C. The two objects will either be pulled together or pushed apart.
D. The charges will cancel out and neither object will move toward or away from the other.
Explain your thinking. Describe your ideas about electric charge.
The correct answer is that the two items will either be drawn together or pushed apart, according to the stated statement.
What generates an electrical charge?Electricity is created when voltage increases to or subtracted from an object. Since atoms have a negative charge, an object gets an ions when electrons are transferred to it. When an object's electrons are taken away, it develops a positive charge.
What is electric charge?All matter has an inherent electric charge, which results from the inclusion of atoms like protons, electrons, and neutrons. The quantity of protons, electrons, and neutrons an atom has affects its charge. Positive or negative charges can exist in an electric field. Protons produce positive charge, while electrons produce negative charge.
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to move a figure in any direction without rotation
Translation is one of geometry transformation which is used to move a figure in any direction without rotation.
Definition of Geometry TransformationTransformation means changing a structure to increase, decrease or rearrange its elements. Meanwhile, geometry means a branch of mathematics that explains the nature of lines, angles, planes, and space.
Based on these two definitions, geometric transformations can be concluded as changes in the shape of a line, angle, space, and plane.
In everyday life, this geometric transformation is usually used to create works of art and architectural designs.
About Translation (Shift)Translation or shift is a type of geometric transformation where there is a displacement or shift from a point to a certain direction in a straight line plane. As a result, every plane in the straight line will also be shifted in a certain direction and distance.
Translation basically only changes the position, not the shape and size of the field.
A simple example of translation is an event that occurs on a slide. Where the same person with a field changes positions from the starting point (start of the slide) and the ending point (end of the slide). Another example is a vehicle traveling on a straight road, from this incident it can be seen that the vehicle which is an object does not change size but only changes places.
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A ball is being pushed with a force of 50 N. If the ball has a mass of 0.5 kg, what will the acceleration be?
Important Formulas:
[tex]F=ma[/tex]
force(measured in newtons) = mass(measured in kg) * acceleration(measured in m/s^2)
__________________________________________________________
Given:
[tex]F=50N[/tex]
[tex]m=0.5kg[/tex]
[tex]a=?[/tex]
__________________________________________________________
In order to find acceleration, we will need to rearrange the force formula to make acceleration the subject.
[tex]F=ma[/tex]
[tex]\dfrac{F}{m} =\dfrac{ma}{m}[/tex]
[tex]a=\dfrac{F}{m}[/tex]
__________________________________________________________
Finding acceleration:
[tex]a=\dfrac{F}{m}[/tex]
[tex]a=\dfrac{50}{0.5}[/tex]
__________________________________________________________
[tex]\fbox{a = 100 m/s squared}[/tex]
The force of gravity between these pairs of objects:a 1-kg mass and 2-kg mass that are 1 m apart;
The force of gravity between the two objects is 1.33 x 10⁻¹⁰ N.
What is the force of gravity between the two objects?
The force of gravity between the two objects is calculated by applying Newton's law of universal gravitation.
Fg = Gm₁m₂ / r²
where;
G is universal gravitation constantm₁ is mass of first objectm₂ is mass of second objectr is the distance between themFg = ( 6.67 x 10⁻¹¹ x 1 kg x 2 kg ) / ( 1 m )²
Fg = 1.33 x 10⁻¹⁰ N
Thus, the force of gravity is proportional to the product of the masses and inversely proportional to the square of the distance between them.
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If a photon has a frequency of 5.20 x 1014 hertz, what is the energy of the photon? Given : Planks constant is 6.63 x 10 -34 joule.seconds
The energy of the photon can be calculated using the equation E = h * f, where E is the energy, h is Planck's constant (6.63 x 10^-34 Js), and f is the frequency of the photon (5.20 x 10^14 Hz). Plugging in the values, we get:
[tex]E = (6.63 x 10^-34 Js) * (5.20 x 10^14 Hz) = 3.48 x 10^-19 J[/tex]
How does the energy of a photon change as its frequency increases?The energy of a photon is directly proportional to its frequency. As the frequency of a photon increases, so does its energy. This relationship is described by the equation E= hf, where E is the energy of the photon, h is Planck's constant, and f is the frequency of the photon. Therefore, if the frequency of a photon increases, the energy of that photon will also increase. This is why high-frequency photons, such as X-rays and gamma rays, have higher energies than low-frequency photons, such as radio waves.
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What is the formula of a magnitude?
The formula of a magnitude is |v| =√(x2 + y2)
A vector formula's magnitude can be used to condense the numerical value of a particular vector. A vector has a magnitude and a direction. This magnitude of a vector formula provides a summary of the individual vector measurements along the x, y, and z axes. The symbol for it is |v|.
|v| =(x2 + y2) is the formula to calculate the magnitude of a vector (in two dimensions) v = (x, y). The Pythagorean theorem serves as the basis for this formula.
|V| = (x2 + y2 + z2) is the formula to calculate the magnitude of a vector (in three-dimensional space) V = (x, y, z).
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After 5 days, what is the expected frequency of the wrinkly-spreader morphotype in the static (not shaken) microcosm
After 5 days, the expected frequency of the wrinkly-spreader morphotype in the static (not shaken) microcosm will depend on the initial frequency of the morphotype in the microcosm.
What is initial frequency?The frequency of a repeated event is its number of instances per unit of time. Another name for it is temporal frequency, emphasizing how it differs from spatial frequency & angular frequency. The period is indeed the reciprocal of a frequency since it is the length of time for one cycle inside a repeating occurrence. For example: if a newborn baby's heart beats at a frequency of 120 times a minute, its period —the time interval between beats— is half a second. Frequency is an important parameter used in science and engineering to specify the rate of oscillatory and vibra tory phenomenon.
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Heat is absorbed during which of the following activities
Endothermic chemical reactions occur when the reactants take in heat energy from their environment to create products. A cooling effect is produced by these reactions because they cause their surroundings to become cooler.
The definition of endothermic reactionsThe term "endothermic" refers to chemical reactions that either completely absorb or use energy. When bonds inside the reactants are broken, more energy is taken in than is released when fresh bonds form in the product lines. This is known as an endothermic reaction.
five endothermic reactions what are they ?Examples of endothermic processes include photosynthesis, the evaporation of liquids, the melting of ice and dry ice, the cracking of alkanes, thermal decomposition, the oxidation of ammonium chloride in water, and many others.
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Question 7
What is the kinetic energy of a 15 kg child rolling down a hill at 2 m/s?
Answer:
KE = 30 J
Explanation:
i used a kinetic energy calculater
A Car of mass 100kg accelerates from 5mls to 10m/s over 2 seconds find the net force acting on it ?
please helppppppppp me
Answer:
250 Newtons
Explanation:
To find the net force acting on the car, we can use the equation:
F = ma
Where F is the net force, m is the mass of the car and a is the acceleration.
We know that the mass of the car is 100 kg and the acceleration is (10m/s - 5m/s) / 2 seconds = 2.5 m/s²
So, the net force acting on the car is:
F = (100 kg) x (2.5 m/s²) = 250 N
Therefore, the net force acting on the car is 250 N
A 2400 kg car traveling to the north is
slowed down uniformly from an initial velocity
of 21.0 m/s by a 7110 N braking force acting
opposite the car's motion.
a) What is the car's velocity after 2.00 s?
Answer in units of m/s.
The car's velocity is 36.07 m/s if A 2400 kg car traveling to the north is slowed down uniformly from an initial velocity of 21.0 m/s by a 7110 N braking force acting opposite the car's motion.
What is a simple definition of velocity?
Velocity is a vector expression of the displacement that an object or particle undergoes with respect to time . The standard unit of velocity magnitude (also known as speed ) is the meter per second (m/s).
What is an example of velocity and speed?
Velocity is speed with a direction. Saying Ariel the Dog runs at 9 km/h (kilometers per hour) is a speed. But saying he runs 9 km/h Westwards is a velocity. Imagine something moving back and forth very fast: it has a high speed .
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a mechanical wave transmits energy through a vacuum. true or false?
The given statement “A mechanical wave transmits energy through a vacuum” is false, because mechanical waves cannot move through areas of space where there are no particles because their energy transmission depends on particle contact.
Waves that are classified as mechanical waves require the presence of a medium in order for their energy to be transmitted from one place to another. This makes mechanical waves incapable of transmitting their energy through a vacuum. There are three distinct categories of mechanical waves: transverse waves, longitudinal waves, and surface waves. Mechanical waves have many interesting characteristics, but one of the most noteworthy is their measurement, which is given by displacement divided by wavelength.
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A 1000 kg car is moving at 30. m/s and comes to a rest after 6.0 seconds. What is the force on the car?
The force of the car would be = 5000m/s²
What is force?Force is defined as the external push or pull that makes an object to move from one position to another.
Mathematically, force is defined as the product of mass and acceleration of a moving object.
That is, F = mass × acceleration
But acceleration= velocity/time
F = mass × velocity/time
mass = 1000kg
velocity = 30 m/s
time = 6 second
Force = 1000× 30/6
= 30000/6
= 5000 m/s²
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Which phrase describes an activated complex? a. It is the potential energy required for a reaction to occur. B. High-potential energy and stable c. Low-potential energy and stable d. Low-potential energy and unstable.
The phrase describes an activation of complex is (a) It is the potential energy required for a reaction to occur.
What is activated complex?Activated complex is a process when reactant is interacted each other to form the product. Activated complex produce the highest energy in the chemical reaction because of its unstable atom activity and molecule reaction. To activated the activated complex, we need to a kinetic energy that is higher or equal to potential energy required for a reaction to occur. In short, activated complex is a process to change potential energy into kinetic energy in the reaction to create a product.
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If a firefighter dropped a person onto the safety net, and right
before the person hit the net they had a velocity of 12 m/s and
1800 J of kinetic energy, then what was the mass of the
person?
The kinetic energy of an object is half of the product of mass and square of velocity. Then, for a person with a kinetic energy of 1800 J and velocity of 12 m/s is 25 kg.
What is kinetic energy ?Kinetic energy of an object is generated by virtue of its motion. It is related to the mass and velocity by the expression as follows:
Ke = 1/2 m v².
Thus, as the mass or velocity increases, kinetic energy increases.
Given velocity of the person = 12 m/s
kinetic energy = 1800 J
1/2 m v² = 1800 J
The mass of the person can be then calculated as follows:
m = 2 Ke/v²
m = 1800 J × 2 / (12 m/s)²
m = 25 Kg.
Therefore, the mass of the person is 25 Kg.
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What is the gas pressure within a cylinder if there is 5.0 g of co2 gas in a 10 L cylinder at 25 OC inside it?
Answer:
P V = N R T Ideal gas equation
1 mole CO2 = 12 + 32 = 44 g
5 g = 5 / 44 = .114 moles
One definition of R is R = .08207 L-Atm / mole-deg K
P = .114 * .08207 * 298 / 10 = .279 Atmosphere
One needs to use care in using R in terms of other values given
A body moves in a perfectly circular path at constant speed. Are there forces acting on the system?.
A body moves in a perfectly circular path at constant speed. There must be a force pulling toward the center of the circle. According to Newton's first law, there must a force present to keep the object moving in a circle rather than a straight line.
About Newton's First lawNewton's 1st law is to show the resultant force acting on an object with a composition equal to zero, so that an object that is initially at rest will always remain at rest. While an object initially moves in a straight line, it will forever continue to move in a straight line at a constant speed. So it can be concluded that in Newton's Law 1 the acceleration of an object is directly proportional to the force acting on the object and inversely proportional to the mass or weight of the object itself.
The properties of objects in Newton's 1st law tend to maintain their original state with the same inertia or degree of inertia. That is why Newton's 1st Law is also known as the Law of Inertia. The shape of the moment of inertia in Newton's 1st Law occurs in various forms, for example linear moments of inertia, mass moments of inertia, and polar or polar moments of inertia.
The magnitude of the stresses also differ according to the material used, such as bending stress and torsional stress, so the calculation can be based on the moment of inertia
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The driver of a car traveling at 27.5 m/s applies the brakes and undergoes a constant
deceleration of 1.09 m/s^2.
How many revolutions does each tire make
before the car comes to a stop, assuming that
the car does not skid and that the tires have
radii of 0.15 m?
Answer in units of rev.
A 50kg student is climbing a rock face with a constant speed. Neglect any friction and drag impeding her motion. How much force is the student generating up the hill?
Answer:
Below
Explanation:
50 * 9.81 = 490.5 N since there is no acceleration, climber must only overcome the accel of gravity
if you walked one km from your home to the store and then one km back home then walked a distance of km and your displacement was km.
Your home's location at x and the store's location at x + 2 km
Solving the displacement problem.
What does physics mean by displacement?"Displacement" describes a change in an object's location. An arrow pointing from the starting point to the finishing point serves as the object's symbol. For instance, an object's position changes if it shifts from position A to position B. For instance, an object's position changes if it shifts from position A to position B.
Displacement formula: What is it?Substitution Formula
The final position less the starting position is known as displacement.
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If you walked one kilometer from your home to the store and then one kilometer back home, you did indeed cover a distance of two kilometers. The distance is calculated by adding the lengths of the two separate paths together, which in this case would be 1 kilometer + 1 kilometer = 2 kilometers.
However, when we talk about displacement, we're referring to the change in position or the shortest straight-line distance between your starting point and your ending point. In this scenario, since you ended up back at your starting point, your displacement is 0 kilometers. This is because the straight-line distance from your home to the store is canceled out by the straight-line distance from the store back to your home.
To better understand this concept, let's consider an example. Imagine you take a trip around a circular track. You start at one point, go all the way around the track, and end up back at the starting point. Even though you covered a certain distance along the track, your displacement is still 0 because you ended up back where you started.
So, in summary, the distance you walked is 2 kilometers, but your displacement is 0 kilometers because you returned to your starting point.
A transformer is opperating at a power of 508 w. The primary coil has 17 A of current 88 turns, the secondary coil has 42 turns. What is the voltage in the
secondary transformer? Round to 2 decimal places.
The voltage in the secondary transformer will be 14.26V.
How can you tell the difference between a transformer's primary and secondary windings?Primarily wound is always on the input side. The side connected to the voltage source is always on this side. Secondary windings are always the output side. Always connected to the load is this side.
Given, Power = 508 W
current in primary coil, i = 17A
number of turns in primary coil, N1 = 88
number of turns in secondary coil, N2 = 42
by using power formula, P = Vi voltage of primary coil can be calculated,
P = V1×i
508 = V1 × 17
V1 = 508/17
V1 = 29.88 V
now voltage of secondary coil, V2 = (N2/N1) × V1
V2 = (42/88)×29.88
V2 = 1254.96/88
V2 = 14.26 V
The voltage in the secondary transformer will be 14.26V.
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PLEASE HELP ASAPP PLS
The refractive index of the unknown substance is 1.23.
What is refractive index?Refractive indexes have no dimensions. This value represents how much slower a light wave would go through a substance than it would in a vacuum. When divided by the velocity of light in a medium, the refractive index, denoted by the symbol n, is obtained.
speed of light in vacuum = 3.00 × 10⁸ m/s.
speed of light in the medium = 2.43 × 10⁸ m/s.
Hence, refractive index of the medium = speed of light in vacuum/ speed of light in the medium
= 3.00 × 10⁸/2.43 × 10⁸
= 1.23
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For G60 Galvanized tubing, i temperature of the urface important to apply a clear coat?
Yes it is important that the temperature of the surface important to apply a clear coat for G60 Galvanized tubing.
The end of a steel sheet (either hot- or cold-rolled) is sheared and welded to the preceding coil to form one continuous coil.A high-performance tension leveler is used to straighten the strip, resulting in excellent flatness.
The strip is dipped in an alkali bath and brushed for preliminary degreasing, and then undergoes alkaline electrolytic degreasing. This removes impurities on the material surface that could harm the zinc coating. The strip is then dipped in a acidic bath to activate the surface.
The zinc-coated strip is given various chemical treatments according to intended use, including phosphate treatment for excellent paintability, and chromate free special treatment for good corrosion resistance.
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What is the relationship between current and voltage across a circuit?
O inversely proportional
O no relationship
O joint variation
O directly proportional
The relationship between current and voltage across a circuit is directly proportional. It is given as per the Ohm's law. Thus, the correct option is D.
What is Ohm's law?Ohm's law states that the current in an electric circuit through a conductor between the two points is directly proportional to the voltage across the two points of the conductor. Introducing the constant of proportionality, the resistance (R), where one arrives at the usual mathematical equation which describes this relationship:
I = V/ R
V = IR
where, I is the electric current flowing through the circuit,
V is the voltage of the electric circuit,
R is the resistance across the electric circuit
More specifically, the Ohm's law states that the R in this relation is a constant, which is independent of the electric current in the circuit.
Therefore, the correct option is D.
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