Question 5 Planet X Planet Y Planet Z Mo 9Mo Ro 2Ro At one point in their individual orbits, three planets, X; Y, & Z, are along the same horizontal line. The gravitational force on Planet X from Planet Z is Fo. The distance from the center of mass of each planet to an adjacent planet is given in terms of Ro, and their respective masses are given in terms of Mo, as shown above. What is the net force on Planet Y, and what reasoning supports this claim? AMo

Answers

Answer 1

The net force on Planet Y because the gravitational force between planet XY and planet YZ is 5F₀.

Full question is in the attachment. Formula to calculate the gravitational force between two objects

F = G × (m₁ × m₂ ÷ r²)

m = the mass of the object (kg)
Mass planet X = m₁ = M₀
Mass planet Y = m₂ = 4M₀
Mass planet Z = m₃ = 9M₀r = the distance between two objects (m)
Distance between X and Y = r₁ = R₀
Distance between Y and Z = r₂ = 2R₀
Distance between X and Z = r₃ = 3R₀F = the gravitational force (Newton)G = Gravitational constant = 6.674 × 10⁻¹¹ (Nm²/kg²)

The direction of the gravitational force between two objects on the first object is from the first object to the second object. The gravitational on planets X and Z

F₀ = G × (m₁ × m₃ ÷ r₃²)

F₀ = G × (M₀ × 9M₀ ÷ (3R₀)²)

F₀ = G × (9M₀² ÷ 9R₀²)

F₀ = G × (M₀²/R₀²)

On planet Y there are two forces

The gravitational force with planet X
F₁ = G × (m₁ × m₂ ÷ r₁²)
F₁ = G × (M₀ × 4M₀ ÷ R₀²)
F₁ = G × (4M₀² ÷ R₀²)
F₁ = 4G × (M₀²/R₀²)
F₁ = 4F₀
The direction from planet Y is to the left.The gravitational force with planet Z
F₂ = G × (m₂ × m₃ ÷ r₂²)
F₂ = G × (4M₀ × 9M₀ ÷ (2R₀)²)
F₂ = G × (36M₀² ÷ 4R₀²)
F₂ = G × (9M₀² ÷ R₀²)
F₂ = 9G × (M₀²/R₀²)
F₂ = 9F₀
The direction from planet Y is to the right.

The net force on planet Y

F = F₂ - F₁

F = 9F₀ - 4F₀

F = 5F₀

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Question 5 Planet X Planet Y Planet Z Mo 9Mo Ro 2Ro At One Point In Their Individual Orbits, Three Planets,

Related Questions

which of these is the correct answer

Answers

Answer:

Option A sponge because at the first sponge was not so heavy than other but when it was dipped in the bucket of water for 30 minutes it absorbed the water as it has many holes in it and the density of water is 1000Kg per metre cube the weight of water and sponge was high

What is the equation that shows the inverse relationship between wavelength and frequency?

Answers

Answer:

V = f * λ           velocity equals frequency * wavelength

If f is increased then λ must decrease for the velocity to remain constant.

Collaborative problem solving involves all of the following except a) a chorus where different individuals sing different notes of a song to create harmony. b) the jigsaw problem where different members of a group contribute to the solution Oc) a consensus-building task where different points of views must be considered d) negotiation tasks where the best possible solution depends upon consideration of different perspectives.

Answers

Yes, option a—a chorus where different people sing different notes of a song to generate harmony—is the right response.

The definition of the term "collaborate" according to Webster's Dictionary is "to work jointly or together, especially in an intellectual pursuit." Therefore, collaborative problem solving (CPS) is basically a cooperative effort to solve difficulties. There are four components to the Xandar task in the CPS task harmonization that PISA has made available. The components of the task require the respondent to work together to create a method for solving problems, put the method into practice, arrive at a solution, and assess the answer. For instance, if parents in a custody battle appear to back and forth on childcare arrangements, it may be a sign that one parent has concerns about

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The half-life of a radioactive substance with the decay rate shown in the graph above is closest to

(A) 3 seconds
(B) 7 seconds
(C) 14 seconds
(D) 18 seconds
(E) 21 seconds

Answers

The half life of the sample is obtained as 21 seconds. Option E.

What is the half life?

We know that the half life is the time that is taken for only half of the radioactive materials that was initially present to remain. We know that the material would have to be radioactive thus it would disintegrate as time passes.

Looking at the graph we can see that the half life can be traced from the graph that has been shown in the image that has been attached to this answer. The half life of the system is 21 seconds.

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What does the II next to an element mean?

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The II next to elements represent the number of atoms which are joined together for forming a molecule.

The Roman numeral (II) if written next to an element then it denotes the oxidation state of the ion.

Let us assume that,

We need to represent the two atoms of an element Nitrogen, we can either denote it by writing NN or we can simply write N2.

Here 2 which is written in the subscript of an atoms denotes that for forming N2 two atoms of Nitrogens are used.

In some places, Roman numerals are also used.

In Chemistry Roman numerals like (I, II. III etc) are used for denoting the charge and the oxidation state of the transition metal ion.

Some common examples are Fe2+ and Fe3+.

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A square metal plate 0.180 m on each side is pivoted about an axis through point O at its center and perpendicular to the plate. (See the figure below (Figure 1) .)

Calculate the net torque about this axis due to the three forces shown in the figure if the magnitudes of the forces are F1 = 17.0 N, F2 = 27.0 N, and F3 = 13.0 N. The plate and all forces are in the plane of the page. (N.m)

the answer 1.73 is incorrect

Answers

The net torque to that axis due to three forces is 2.554 Nm.

How to calculate the net torque?

[tex]F_1[/tex] = forces 1 = 17 N

[tex]F_2[/tex] = forces 2 = 27 N

[tex]F_3[/tex] = forces 3 = 13 N

α = side of metal plate = 0.18 m

Net torque can be calculated by multiple the forces by distance. For the question, the  [tex]F_1[/tex] will be negative because the forces of [tex]F_3[/tex] will move the square metal plate to that side.

Net torque = [tex]-F_1\frac{a}{2} + F_2\frac{a}{2} + F_3 sin(45)\frac{a}{2} + F_3 cos(45)\frac{a}{2}[/tex]

= [tex]-17\frac{0.18}{2} + 27\frac{0.18}{2} + 13sin(45)\frac{0.18}{2} + 13 cos(45)\frac{0.18}{2}[/tex]

= -1.53 + 2.43 + 0.827 + 0.827

= 2.554 Nm.

Thus, the net torque for that three forces shown in the figure is 2.554 Nm.

You question is incomplete, but most probably your full question was

(image attached)

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Where should you place the weight in the boat?

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Making ensuring the weight is positioned above the boat's center of mass is important while loading them onto the boat.

The center of mass is a location within or outside of someone where we believe the entirety of the body's mass to be concentrated. We are aware that a boat will suffer an upward force equivalent to the mass of the fluid it is dislodging while it is hovering over it.

The likelihood of the boat being unbalanced is significantly decreased when the passengers or weight are positioned close to the center of mass of the boat.

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How do you find the gravitational force between two objects with the same mass?

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The formulation for gravitational force does have the variables F, G, m1, m2, and r2.

The product of something like the gravitational constant as well as the masses of both the two items, divided with the square of such distance separating the two objects, would be the equation for the gravitational force among two things.

The formula is given as:

Force = (Multiplication of g, m  ) / square of distance among both the objects.

= F = (G × M × m (mass)) / r²

where,

Force = F

Gravitational Constant = G

Mass of one object = M

Mass of another object = m

Distance = r

Since all of the items in this situation share the same mass, the gravitational force equation is,

F = (G X M X m(mass)) / r² (distance)

Gravitational force was the force utilized by the earth to pull an item toward it. Issacs Newton made the discovery after seeing an apple fall from either the tree.

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When you are playing pool and a moving ball hits a stationary ball and the moving ball stops what happens to the momentum of the moving ball?

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When a moving pool ball hits a stationary ball, some kinetic energy from the moving pool ball is transferred to the stationary ball and it attains momentum.

Both in the case of elastic and inelastic collisions, momentum is preserved. That means the total momentum will always be the same.

Momentum (ρ) is defined as "mass in motion". There are two factors affecting the momentum. Mass(m) and velocity(v).

                       ρ = m×v

So for a stationary object momentum will be 0. When the moving ball hits the stationary ball, it starts moving, because it gets kinetic energy from the moving ball. The total momentum before and after the collision will always be equal.

               mₐ₁× vₐ₁ = mₐ₂×vₐ₂ + m₂ v₂

                 

                     mₐ₁× vₐ₁ is the momentum of ball A before the collision

                     mₐ₂×vₐ₂ is the momentum of ball A after collision

                     m₂ v₂    is the momentum of ball B after  collision.

So the stationary ball begins to move after the collision due to increased kinetic energy and attains some momentum. The total momentum of the system remains the same.

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astronomers detect a gas giant exoplanet orbiting its host star on an eccentric orbit with a semimajor axis of 100 au. this provides evidence for:

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The detection of a gas giant exoplanet orbiting its host star on an eccentric orbit with a semimajor axis of 100 au (astronomical units) could provide evidence for a number of things, depending on the specifics of the system.

Here are a few possibilities:

The presence of a distant, unseen companion: If the gas giant's orbit is highly eccentric (meaning it is more oval-shaped than circular), this could indicate the presence of a companion object, such as another planet or a brown dwarf, that is gravitationally interacting with the gas giant and influencing its orbit.

The influence of other planets: If the gas giant is not the only planet in the system and there are other planets with more modest orbits, their combined gravitational influence could be shaping the gas giant's orbit.

The presence of a primordial disk: A gas giant orbiting at such a great distance from its host star could have formed in a primordial disk of gas and dust that surrounded the star in its early stages of development.

The presence of a "rogue" planet: It is also possible that the gas giant is a "rogue" planet, meaning it is not orbiting a star at all, but rather is floating freely through the galaxy. However, this is less likely given the presence of an eccentric orbit, which suggests the presence of a gravitational influence.

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under what conditions might a pilot expect the possibility of hydroplaning? a. when departing a grooved runway with less than a thousandth of an inch of water. b. when landing on a wet runway that is covered in rubber from previous landings. c. when the adiabatic lapse rate is high, and steam is rising from the landing surface.

Answers

When landing on a wet runway that is covered in rubber from previous landings.

What speed puts you in the greatest risk of hydroplaning?

The majority of auto safety experts concur that hydroplaning would be most likely to happen at speeds greater than 35 mph.As soon when the first droplets land on your windshield, drastically reduce your speed.

Do heavier automobiles hydroplane more frequently?

Vehicle weight: A vehicle has a greater tendency to hydroplane the lighter it is.Asphalt without grooves is more likely to hydroplane than concrete with ribs or grooves.

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Coach Carver has created a new team game for his students to play. It involves sprinting, tagging, and throwing a ball. Each team consists of 30 to 40 students. Which place is the safest to play the game?
a. an outdoor basketball court
b. a gymnasium
c. an empty classroom
d. a football field

Answers

The safest plays to play sprinting, tagging, and throwing the ball is d) a football field

A football/soccer field is a rectangular field surrounded by lines called perimeters. The two long lines are the touch lines and the two short lines are the goal lines. It is divided in half by the midline connecting the midpoints of the two contact lines. The field is 100 yards long, with 10-yard end zones for each team. The field has stripes across the width of the field at 5-yard intervals. The soccer field is 160 feet wide. The games that can be played on the football field are sprinting, throwing the ball, tagging, etc.

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1. How did the rock of the Great Plains and Rocky Mountains form?Choose the claim you can eliminate. ResponsesThey formed as one rock formation, and then something separated them.They formed as one rock formation, and then something separated them.One rock formation formed before the other. Then, the minerals from the older rock became part of the younger rock.One rock formation formed before the other. Then, the minerals from the older rock became part of the younger rock.3What do we still need to know in order to determine why the two rock formations have such similar minerals?Evidence Card E: Rocky Mountains. Photo of the Rocky Mountains. Observations: The large mountains have jagged tops. The chunks of rock vary in size. The rock appears to be light and dark gray. There is a forest at base of the mountains.Evidence Card C: Rock from the Rocky Mountains. Photo of a rose-colored rock with dark veins. Observations: The rock contains visible pink, dark gray, and light brown grains. The grains fit together. The grains have sharp edges. There are no bubbles or fossils in this sample.2Why can we eliminate the claim you selected?

Answers

Rocky Mountains and Great Plains rock came together to form one rock formation, but then something tore it apart. The first claim is true while the second claim needs to be eliminated

What are rocky mountains?

It should be remembered that the Rocky Mountains and the Great Plains are two separate rock formations that did not form simultaneously. The older rock's minerals were not incorporated into the younger rock as a result.

After combining the rock from the Rocky Mountains and the Great Plains to form one formation, something tore it apart. As a result, the second claim must be rejected because it is false.

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How long will it take for a 40.0 gram sample of I 131 half-life 8.040 days to decay to 1 100 its original mass?

Answers

It will decompose to 1/100 of its initial mass in 53.4 days.

How long before half of a sample of 131i decays?

A radioisotope with an 8-day half-life is iodine-131. By emitting beta particles, it decomposes into xenon-131. Any sample of iodine-131 will have lost half of its atoms after eight days, leaving the sample with a composition of 50% iodine-131 and 50% xenon-131.

How is decay rate determined?

The deterioration rate is expressed as a percentage. The decimal equivalent can be obtained by simply reducing the percentage and multiplying it by 100. Therefore, it is possible to determine the decay factor b = 1-r. For instance, the exponential function's decay rate is 25% if the rate of decay is 0.25 and b = 1- 0.25 = 0.75 for the decay factor.

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a man seeking to set a world record wants to tow a 118,000-kg airplane along a runway by pulling horizontally on a cable attached to the airplane. the mass of the man is 93 kg, and the coefficient of static friction between his shoes and the runway is 0.79. what is the greatest acceleration the man can give the airplane? assume that the airplane is on wheels that turn without any frictional resistance.

Answers

The greatest acceleration the man can give the airplane is 6.102*10^-3 m/s^2

What is a frictional force ?

The force produced when two surfaces slide past one another and make contact is known as frictional force. The surface texture of these forces and the amount of force pressing them together have the biggest impact.

Mass of the person

m1 = 93kg

Mass of the air plane

m2 = 118000 kg

Coefficient of static friction between the shoes of the person and floor

μs=0.79

Acceleration due to gravity

g=9.8m/s^2

The maximum force the person can apply on the floor is equal to his weight

F = w = m1∗g

         = 93∗9.8=911.4 N

The maximum frictional force he can get from the floor is the product of coefficient of static friction and normal reaction

Ff = μs∗N

   = μs∗W

   = 0.79 ∗ 911.4 = 720 N

Let's assume that the individual is able to use or apply the entire frictional force in pushing the airplane.

Following that, the relationship can be used to determine the acceleration an air plane created.

Ff = m2 * a

a = Ff/m2

  = 720/118000

  = 6.102*10^-3 m/s^2

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What is the approximate wavelength range of thermal radiation Mcq?

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Thermal radiation has a wavelength range of 7700A to 4106A.A emission if electromagnetic waves by all stuff with a temperature greater that absolute zero is known as thermal radiation.

What roughly is the heat radiation wavelength range?

Thermal electromagnetic radiation is radiation with wavelengths between 0.1 and 100 m that is emitted by all matter that is not at absolute zero.All of the infrared and visible spectrums, as well as some ultraviolet (UV), are included (IR).

What is the heat source's radiative energy's approximate wavelength?

Thermal radiation, or radiation heat transfer, is defined as radiation having wavelengths between 0.1 and 100 m.The entire visible, infrared, and some ultraviolet spectrums are all included in thermal radiation.

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What is the i in the Ohm's law?

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The i in Ohm’s Law is current.

10.A constant force is applied to a ball of mass m. The velocity of the ball changes from ν1 to ν2. The impulse received by the ball is

A. m(ν1 + ν2).

B. m(ν1 - ν2).

C. m(ν1^2 + ν2^2).

D. m(ν1^2 - ν2^2).

Answers

The velocity of the ball changes from ν₁ to ν₂ then the impulse received by the ball is m(ν₂ - ν₁).

What is impulse?

Impulse received by the object can be described as the integral of a force over the time for which it acts. Impulse can be defined as also a vector quantity since the force is a vector parameter.

Impulse can be exerted on an object that produces an equivalent vector change in the linear momentum.

The S.I. unit of impulse can be denoted as N⋅s Newton second and the dimensionally unit of momentum is kg⋅m/s. A resultant force provides acceleration to the object and changes the velocity of an object for as long as it acts.

The change in the linear momentum of an object is equal to the impulse.

I = ΔP = m(ν₂ - ν₁).

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How do you solve a system of equations in Mathematica?

Answers

We first perform an algebraic solution to the equation before using N to obtain a numerical solution. Alternately, we might use NSolve to begin by numerically solving the equation.

What method of equation solving is the simplest?

Systems of equations can be solved using one of three techniques: graphing, substitution, or elimination. To answer a problem by graphing, just plot the given equations on a graph and identify the point(s) where they all intersect.

System of differential equations can Wolfram solve?

The differential equation solving functions of the Wolfram Language can be used to solve a wide variety of differential equation classes, automatically choosing the best techniques without user preprocessing.

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How did sonar change the world?

Answers

Sound Navigation and Ranging is referred to as SONAR. It is a method used to find things, navigate, or communicate below the surface of the water. It makes advantage of the Echo concept.

Why is sonar a valuable tool?

Sound waves are used by sonar to "see" in the water.

Sonar is mainly used by NOAA scientists to create nautical charts, find underwater navigational hazards, find and map things on the bottom like shipwrecks, and map the actual seafloor. Nearby objects that block the sound waves' passage cause them to reflect back off of them. The distance to the item is determined using the timing of the sound wave's transmission and reception, the speed of sound in water, the angle of the echo, and the change in frequency.

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The mass of the particles that a river can transport is proportional to the sixth power of the speed of the river. A certain river normally flows at a speed of 2 miles per hour. What must its speed be in order to transport particles that are 15 times as massive as usual? round your answer to the nearest hundredth.

Answers

Let m and s stand in for mass and speed, respectively. so that,

Its speed must therefore be around 6.58 miles per hour.

m = k

where k is the proportionality constant.

Speed equals 4 miles per hour for a specific river.

m = k

m = 1024k ............ 1

transporting particles with a mass 12 times greater than usual;

12m = k

m = ............. 2

Thus,

= 1024 k

= 12 x 1024

= 12288

12288

s = 6.5750

6.58 miles per hour is s.

Its speed must therefore be around 6.58 miles per hour.

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What does solar and wind have in common?

Answers

In the field of renewable energy, wind and solar energy are major actors. They are free energy sources, limitless, and most of all, they reduce carbon emissions from fossil fuels.

How are wind and sun energy related?

Wind energy is part of solar energy. The earth's atmosphere is heated by the sun, and wind is produced as a result of the earth's rotation around the sun. During the day, the air above the land warms up more quickly than the air above the sea.

Are solar and wind energy equivalent?

Technically, wind energy is a type of solar energy. Hot air rises when the uneven surface of the Earth is heated by the sun's radiation, while cold air settles. The result of this difference in air pressure is wind, which is a kinetic (based on motion) source of energy. A windmill take hold of that kinetic energy.

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Consider the fictional case of the incredible shrinking man. if he shrinks proportionately to 1/10 his original height, his weight will be multiplied by question? 0.1 0.001 0.0001 0.01

Answers

The final weight will be reduced by 0.1 of its original weight.

Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

A mathematical expression is made up of terms(constants and variables) separated by mathematical operators.

A mathematical equation is used to equate two expressions.

Given that, fictional shrinking man shrinks proportionately to 1/10 th of his original height.

Let, weight be W.

W = mg

m = ρ V

Then W = ρ V g

Assume the body to be cylinder of radius r and height h, we can write,

W = π r²ρ g h

So, the initial weight is W = π r²ρ g h

After shrinking W becomes W'.

W' = π r²ρ g h/10

Then, W'/W = (π r²ρ g h/10)/π r²ρ g h = 0.1

Thus, the final weight will be reduced by 0.1 of its original weight.

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the plate area of a parallel-plate capacitor of capacitance c is doubled and the distance between the plates is halved, so that the volume of the dielectric remains the same. the new capacitance of the capacitor is

Answers

The new capacitance of the capacitor is Cf = 4Ci is the correct answer.

What is capacitance?

Capacitance is an electrical property of a material or system that is related to the amount of charge it can store in an electric field. It is measured in Farads (F), which is the ratio of the electric charge stored on a capacitor to the applied voltage. In other words, it is an expression of the ability of an electrical system or component to store energy in the form of an electric field. It is an important factor in the design of electrical systems, and can be used to control the flow of electric current in circuits. It is also used to measure the amount of voltage that a capacitor can sustain before its capacitance decreases.

Using the Capacitance theorem

Given:

Capacitance of Parallel Plate Capacitor = C

Area = 2A

Distance = 1/2d

Volume of the dielectric remains the same.

New Capacitance =?

1.  Initial Capacitance can be written as:

Ci = A ∈0 / d

2.  After putting the desired values of area and distance.

Cf = 2A ∈0 / (d/2)

Cf = 4A ∈0 / d

Cf = 4Ci

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A ship's propeller of diameter 3 m makes 10.6 revolutions in 30
s. What is the angular velocity of the propeller?
a 90.0 rad/s
b 31.8 rad/s
c 2.22 rad/s
d 66.7 rad/s

Answers

Answer:

Approximately [tex]2.22\; {\rm rad\cdot s^{-1}}[/tex].

Explanation:

Each revolution increases the angular displacement of the propeller by [tex]2\,\pi[/tex] radians. Therefore, after [tex]10.6[/tex] revolutions, the angular displacement of the propeller will be [tex](10.6)\, (2\, \pi) = 21.2\,\pi[/tex] radians.

Divide angular displacement by the duration to find the angular velocity of this propeller:

[tex]\begin{aligned}\frac{21.2\, \pi\; {\rm rad}}{30\; {\rm s}} \approx 2.22\; {\rm rad\cdot s^{-1}} \end{aligned}[/tex].

in the double-slit experiment with electrons, suppose that the observer uses a detector to determine through which slit the electron actually passes. does this affect the outcome of the experiment, and why or why not?

Answers

No matter the detector, the pattern on the screen is still non-interference.

In the double-slit experiment, how does the detector operate?

In the double-double slit experiment, photons are momentum entangled and can share information about each other's which-slit paths if one of them is found near any double slit. If a single slit of a double-slit is blocked, it is possible to determine the which-slit path from the simultaneous photon detection.

What impact does observation have on the double-slit test?

In quantum physics, the double-slit experiment serves as a prominent illustration of the observer effect. The measured outcomes of this experiment can alter if quantum phenomena are observed, according to physicists.

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a 3 * 10 to the power -3 kg copper penny drops a distance of 50 m to the ground. if 65 percent of the initial potentia energy goes into increasing the internal energy of the penny, determine the megnitude of that increase.

can some genius explain this to me please?

Answers

Explanation:

The magnitude of the increase is 0.9555J

Explanation

Potential Energy (PE) = mgh mass(m) = 3 * 10 ^ - 3 * kg

, acceleration due to gravity (g) = 9.8m / (s ^ 2) distance(h) = 50m PE = 3 * 10 ^ - 3 * 9.8 * 50 = 1.47J Increase in internal energy = 65% of 1.47J = 0.65 × 1.47J

= 0.9555J

What type of metamorphosis do hive beetles undergo?a. completeb. incompletec. mesocomplete

Answers

Insects can change gradually through progressive metamorphosis or completely through total metamorphosis.

Some insects, including beetles, ants, bees, wasps, butterflies, moths, and bees, develop through a special life cycle known as full metamorphosis. Egg, larva, pupa, and adult are the four separate phases of complete metamorphosis. One type of insect that undergoes complete metamorphosis is the beetle, which includes ladybugs. Butterflies and flies are two examples of common and recognised insects that undergo complete metamorphosis. Beetles, bees, wasps, ants, and fleas are among other insects that undergo complete metamorphosis. Termites, praying mantises, and cockroaches all go through partial metamorphosis. Ants, fleas, and wasps all go through a full metamorphosis. Complete metamorphosis is finally distinguished from other types of growth by the several stages that are produced with each

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if the fundamental frequency of a note is 200 hz, what is the frequency of the third harmonic?

Answers

The second harmonic f₂ is 400 Hz, the third harmonic f₃ is 600 Hz if the fundamental frequency is 200 Hz.

Only at precise vibrational frequencies, sometimes referred to as harmonic frequencies or simply harmonics, do these patterns emerge within the item or instrument. The ensuing disturbance of the medium at any frequency other than a harmonic frequency is erratic and non-repeating.

f₁ = 200hz

The lowest frequency of a periodic waveform is known as the fundamental frequency, also known as just the fundamental. The musical pitch of a note that is heard as the lowest partial existent in music is referred to as the fundamental. The fundamental frequency, or frequency of the difference between adjacent frequencies, in terms of a superposition of sinusoids is the lowest frequency sinusoidal in the total of harmonically linked frequencies. The fundamental, which denotes the lowest frequency counting from zero, is sometimes shortened as f₀. It is more typical to shorten it to f1, the first harmonic, in other instances. The zeroth harmonic in this situation would be 0 Hz.

Therefore, the second harmonic is f₂= 2f₁

f₂ = 2 *200hz = 400hz

f₃ = 3*200hz = 600hz

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Problem 5: Consider the circuit diagram depicted in the figure 0.5 Ω R2 2.5 Ω /2 R 1.5Ω 0.5 Ω 50% Part (a) what equation do you get when you apply the loop rule to the loop abcdergha, in terms of the variables in the figure? Grade= 100% Correct Answer Student Final Submission Feedback Correct! 012 R2+ 112 T3 R3 +32-62 0- 1-(Ti +R2) I2+(R3r2)13 2 Grade Summary Deduction for Final Submissi Deductions for Incorrect Submissions, Hints and Feedback [?] Student Grade-100-0-0-100% 0% 0% on Submission History All Date times are displayed in Central Standard Time Red submission date times indicate late work. Date Time 9:25 PM Answer Hints Feedback 1 Oct 29,2018 0- 1-(Ti +R2) I2+(R3r2)13 2 50% Part (b) If the current through the top branch is 12-0.505 A, what is the current through the bottom, 13, in amps?

Answers

Part(a) The equation for the loop is 0 −1−(R1 +R2)I2+(R3+R2)I3=0

Part(b) The current through the bottom branch 13 is 0.75 A.

(a) This equation is found by applying the loop rule, which states that the sum of voltage drops around a loop is equal to zero. To find the equation, we start at the point, and move clockwise around the loop. At each point, we add the voltage drop of the component connected between that point and the previous point. We then substitute the component values into the equation.

For example, the voltage drop across R1 is equal to I2 * R1. In this equation, I2 and I3 are the currents through R2 and R3 respectively.

(b) To calculate this, we need to use Ohm's Law, which states that the voltage across a resistor is equal to the current through the resistor multiplied by the resistance.

First, we need to calculate the total resistance of the circuit.

       R total = R_1 + (1/2)*R_2 + R_3

                    = 0.5 + (1/2)*2.5 + 0.5

                    = 2.5 Ω

Now, we can use Ohm's Law to calculate the current through the bottom branch.

             I 13 = V/R

                     = (12-0.5)/2.5

                     = 0.75 A

Therefore, the current through the bottom branch 13 is 0.75 A.

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