Diffraction Limit: a) How far away can a human eye distinguish two car headlights 2.0m apart? Consider only diffraction effects and assume an eye pupil diameter of 6 mm and a wavelength of 560 nm.b) What is the minimum angular separation an eye could resolve when viewing two stars, considering only diffraction effects?c) In reality, the minimum angular separation is about 1′ of arc. Why is it not equal to your answer in part b)?

Answer:

(Question) A city gets its electricity from a dam, where water is stored in a reservoir. How does the water provide the city with its power?

(Answer) Potential energy in the water becomes kinetic energy as it moves through turbines, which turn kinetic energy into mechanical energy that spins a generator, which changes mechanical energy into electricity.

(Question) An acorn rolls off a roof and falls to the ground. Which statement best describes the change in energy?

(Answer) The acorn’s potential energy decreases as its kinetic energy increases.

(Question) An airplane carries 320 passengers from Phoenix to Los Angeles flying at an average speed of 490 miles per hour. On the return flight, the plane carries 164 passengers and travels at the same average speed. What happens to the plane’s kinetic energy?

(Answer) On the return flight, the plane has less kinetic energy.

(Question) A racehorse is running at 42 miles per hour, equivalent to 18.8 meters per second. The horse and its jockey have a combined mass of 512 kilograms. How much kinetic energy do they have?

(Answer) 90,480.6 J

(Question) Which object has kinetic energy?

(Answer) balloon rising in the sky

(Question) Mr. Starr pushed a cart full of groceries to his car. After emptying the cart, he pushed it back to the store. He pushed the cart at a speed of 2 meters per second each way. Which is the best prediction?

(Answer) When it was empty, the cart had less kinetic energy.

(Question) A student fires a toy rocket into the sky. When does the rocket have the most potential energy?

(Answer) when the rocket reaches its highest point

(Question) What is the best description of one billiard ball hitting a second billiard ball?

(Answer) Most of the kinetic energy in the first ball is transferred to the second ball.

(Question) A roller-coaster car is at the top of a hill. The car and its passengers have a combined mass of 1,088 kilograms. If the hill is 62 meters tall, how much potential energy does the car have?

(Answer) 661,068.8 J

(Question) A roller-coaster is at the top of a 62-meter hill. The car and its passengers have a total mass of 1,088 kilograms. By the time the car reaches the bottom of the hill, its speed is 74 miles per hour (33 meters per second). How much kinetic energy does the car have at the bottom of the hill?

(Answer) 592,416 J

(Question) A diagram is drawn showing a swing set with a swing pulled backward prior to release. The diagram shows how the swing will move forward and then backward after it is initially released. At which point in the diagram is all of the energy gravitational potential energy?

(Answer) when the swing is pulled back prior to release

(Question) essay

(Answer) good luck

(Question) essay

(Answer) good luck

Explanation:

I just did this assignment UwU

The force Jane push on Mary is 10N. And the acceleration of mary is 1.82m/s² and acceleration for Jane is 2.86m/s²

Newton third law of motion states that If an object A exerts a force on object B, then object B must exert a force of equal magnitude and opposite direction back on object A. It can also be defined as , action and reaction are equal but opposite in direction.

For example if a man of weight 100N sits on a bench, the force the bench will have on the man is also 100N.

Similarly, if Mary pushes Jane with a force 10N, therefore Jane will also push Mary with a force 10N in the opposite direction.

From F = ma

the acceleration of mary = F/m

= 10/5.5 = 1.82m/s²

the acceleration of Jane =F/m

= 10/3.5 = 2.86m/s²

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A vector's resolution is the splitting of a single vector into two or more vectors in different directions that together produce the same effect as a single vector. Component vectors are the vectors formed after splitting.

In general, we divide a vector into three components:

example:

For vector resolution, a vector can be resolved into many different vectors. Consider the following example: Take two numbers, say 4 and 6, and add them together to get 10. Furthermore, 10 is now broken or resolved. However, the number 10 can also be broken down into many other numbers, such as -10 = 5 + 5; 10 = 3 + 7, and so on.

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Based on the information provided, the lighter object is further away from the fulcrum than the heavier object.

In physics and mechanics, torque refers to the rotational equivalent of linear force and also referred to as the moment of force. It represents the capability of a force to produce change in the rotational motion of the body. The moment of inertia of a rigid body refers to a quantity that determines the torque needed for a desired angular acceleration about a rotational axis. Hence, based on these concepts, on a seesaw, the torque of each child about the pivot point is the product of the child's weight and the distance of the child from the pivot or fulcrum. In an experiment, in order to produce equal torque on either side of the fulcrum, lighter object is further away from the fulcrum than the heavier object.

Note: The question is incomplete. The complete question probably is: Gizmo shows a see-saw, which is a type of lever. The mass of object A is 1.0 kg and the mass of object B is 2.0 kg. Experiment with the Gizmo shows how you can balance a heavy object with a light object. What is said about the distances of each object from the fulcrum.

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Moving a magnet against stronger magnetic force transfers more energy to magnetic field : true .

Moving an object against stronger magnetic force transfers more energy to the magnetic field and magnetic forces are stronger closer to the magnets. The potential energy of the system is increased because, now it has an extra force to expel the magnet.

If a magnet is moved against the magnetic force of a stronger magnet, then the motion will make the magnetic field lines to be compressed and this would cause an increase in potential energy as the magnetic force lines will now be compressed.

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The light emanating from galaxies behind it is bent or distorted by it.

When a massive mass of matter, such as a group of galaxies, produces a gravitational field that bends and magnifies light from distant galaxies that are in front of it but in the same line of sight, the result can be a gravitational lens.

It has the same effect as gazing through a very large magnifying lens. Astronomers can gain more insight into the mass and dark matter content of the foreground galaxies thanks to the gravitational lensing theory. As implied by the name, dark matter is dark. Astronomers can only study it by seeing how its gravity affects things that are visible to us.

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The final velocity of the object after the collision is  -12 kg*m/s. This is an inelastic collision because some kinetic energy is lost during the collision.

An inelastic collision occurs when there is a loss of kinetic energy. While the system's momentum is conserved in an inelastic collision, kinetic energy is not. This is due to the transfer of some kinetic energy to something else.

The total momentum before the collision is (4.0 kg)(10m/s) + (1.0 kg)(5.0 m/s) = 45 kg*m/s.

The total momentum after the collision is (1.0 kg)(v) + (4.0 kg)(8.0 m/s) = 0

where v is the speed of the 1.0 kg object after the collision.

Solving for v, we find that v = -12 kg*m/s                                          

Therefore, the speed of the 1.0 kg object after the collision is  -12 kg*m/s .

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Sodium is present as a solid pellet which on exposure turn liquid present in group 1 and period 3 ,addition of one proton and electron changes it to sodium anion and addition of two neutrons changes the mass number and loss of an electron forms sodium cation and sodium with 1 valence electron is neutral atom.

An atom is defined as the smallest unit of matter which forms an element. Every form of matter whether solid,liquid , gas consists of atoms . Each atom has a nucleus which is composed of protons and neutrons and shells in which the electrons revolve.

Atoms of the same element are similar as they have number of sub- atomic particles which on combination do not alter the chemical properties of the substances.

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The correct solution is D. Gases that are released by volcanoes on lo and get ionized are abundant in the area.

Io, the Solar System's fourth-largest moon, is also the densest, possesses the planet's strongest surface gravity, and has the least water (as determined by its atomic ratio) of any known celestial object. It was discovered in 1610 by Galileo Galilei and was given the name Io after the mythical character of Io, a priest of Hera who subsequently evolved into one of Zeus's lovers.

An orbit is the path an one object takes as it travels around another. An object that circles the earth is called a satellite. A natural satellite that resembles the Earth or the luna prospect. Many planets include moons as satellites in its orbit. Another possibility is a man-made satellite, like the International Space Station.

The planets, asteroids, comets, and other astronomical objects in the solar system all orbit the sun. Most objects in the solar system move along or extremely close to a hypothetical flat surface. This fictitious plane is known as the ecliptic plane.

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The correct Question is :

Why is the radiation so intense in the region that traces Io's orbit around Jupiter (the Io torus)?

A) Io's gravity allows this region to capture huge numbers of charged particles from the solar wind.

B) An orbital resonance between Io, Europa, and Ganymede makes the radiation intense.

C) Jupiter's strong magnetic field makes the radiation intense everywhere, and the region around Io is no different than any other region.

D) The region is full of gases that become ionized after they are released from volcanoes on lo.

If Lee pushes horizontally with a force of 78N on a 29kg mass for 16m across a floor. The amount of work Lee did is: 1,248J.

Given data:

Mass of the object , m = 29kg

Force, F = 78N

Displacement, d = 16m

Now let find the amount of work using this formula

Work = F × dcosθ

Let plug in the formula

Work = 78 × 16cosθ

Work = 1,248J

Therefore we can conclude that the work done is 1,248J.

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Nature and nurture both play a role in how people develop. Nature refers to the genetic or inherited traits we are born with, and nurture refers to the environment and experiences that shape us as we grow up. Together, these two components make up the basis for human development.

The electromagnetic energy that is produced when a projectile electron slams into a metal target is called bremsstrahlung radiation.

This radiation is produced when an accelerated charged particle, such as an electron, is decelerated by the Coulomb force of an atomic nucleus. As the electron slows down, it emits electromagnetic radiation in the form of X-rays or gamma rays. The intensity and frequency of the bremsstrahlung radiation depends on the energy of the incident electron and the atomic number of the target material. Bremsstrahlung radiation is a continuous spectrum of electromagnetic radiation, meaning that it consists of a range of frequencies rather than a single frequency.

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The electromagnetic energy that is produced when a projectile electron slams into a metal target is called bremsstrahlung radiation.

When a projectile electron slams into a metal target, the kinetic energy of the electron is transformed into electromagnetic energy. The electromagnetic energy is called bremsstrahlung radiation. This radiation is produced when an accelerated charged particle, such as an electron, is decelerated by the Coulomb force of an atomic nucleus. As the electron slows down, it emits electromagnetic radiation in the form of X-rays or gamma rays. The intensity and frequency of the bremsstrahlung radiation depends on the energy of the incident electron and the atomic number of the target material. Bremsstrahlung radiation is a continuous spectrum of electromagnetic radiation, meaning that it consists of a range of frequencies rather than a single frequency. It is produced when an electron is moving at a high speed and it is moving just in an company to be as fast as they can. in the process they lose energy in a constant phase.

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Answer: 4.214 N

Explanation: Given Mass = .43kg

Weight  = mxa ...........(On earth a= 9.8 m/s2)

so .43X 9.8 = 4.214 N

as SI unit of weight if N

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Q = mL, which is the necessary specific latent heat of the fusion equation, is the formula for the specific latent heat of fusion.

Consequently, we can state that a material's particular latent heat (L) is: The quantity (Q) of heat energy that is released or absorbed per mass (m) during a phase shift is measured. It is described by the equation Q = mL.

Ice melts at a constant temperature of 0 °C (32 °F), and the liquid water that is created by the latent heat of fusion is also at this temperature. At 0 °C, the heat of fusion for water is equivalent to 334 joules (79.7 calories).

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The formula for the specific latent heat of fusion is Q = mL, where Q is the required specific latent heat of the fusion equation.

The quantity (Q) of heat energy that is emitted or absorbed per mass (m) during a phase shift is measured, and this is how we may define a material's specific latent heat (L): It can be explained using the formula Q = mL. Ice melts and the liquid water produced by the latent heat of fusion both occur at a constant temperature of 0 °C (32 °F). The heat of fusion for water at absolute zero is 334 joules (79.7 calories). The formula for the specific latent heat of fusion is Q = mL, where Q is the required specific latent heat of the fusion equation.

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The part of the light passing into the glass will be refracted, meaning it will bend as it enters the glass and change direction. Depending on the angle of incidence, some of the light may also be reflected off the surface of the glass.

Light traveling through air behaves differently than light traveling through glass. When light from air hits a smooth piece of glass with the ray perpendicular to the glass surface, the light is refracted as it enters the glass due to the difference in the optical properties of air and glass.

The change in the optical properties of air and glass causes the light to bend and change direction. Depending on the angle of incidence, some of the light may also be reflected off the surface of the glass. This phenomenon is known as total internal reflection and is what causes the light to appear to be bent when it passes through a glass surface.

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The magnitude of the acceleration of the car from the recorded the following data for the motion of a car undergoing constant acceleration is 2 m/s².

Acceleration is the term used to describe the rate of change in velocity.

Acceleration a = (V f - V₀)/ (t f - t₀)

where, V f is the final velocity

V₀ is the initial velocity

t f is the final time

t₀ is the initial time

Using the first two rows of the table in the attachment, we have,

a = (6 - 4)/(4 - 3) = 2/1 = 2 m/s²

Thus, the required magnitude of the acceleration of the car from the recorded the following data for the motion of a car undergoing constant acceleration is 2 m/s².

The given question is incomplete. The complete question is given in the attachment below.

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A working-class clockmaker from Yorkshire named John Harrison developed a device that could tell the correct time at sea in order to overcome the longitude problem.

While it is reasonably simple to measure latitude accurately enough for seafaring, it is far more challenging to determine longitude precisely. The English Parliament had offered a cash prize of up to 20,000 pounds in 1714 for a workable solution to the length issue. The prize money was scaled based on how accurately the method was presented. John Harrison didn't start researching this subject until ten years after the prize money was published, but he would continue to do so right up until the end of his life. Astronomical navigation hasn't yielded any workable solutions up until now. The Board of Longitude was established to judge the proposals offered and handle prize administration.

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According to Newton's Third Law, the ball and the ground act on each other with equal and opposite forces. When the ball strikes the ground, the ground exerts an upward force on the ball, while the ball exerts an equal and opposite downward force on the ground. This is why the ball bounces off the ground.

Newton's Third Law states that for every action, there is an equal and opposite reaction. This law is often referred to as the law of action and reaction, and it applies to all physical interactions, from the motion of a rocket to the bouncing of a ball. In simplest terms, this law states that when two objects interact, they apply forces to each other of equal magnitude and opposite direction. This means that if object A exerts a force on object B, object B will exert an equal and opposite force on object A.

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Explanation:

u=0

s=90km/h

t=8s

a=?

But we need to convert 90km/h to m/s

36km/h=10m/s

=36/90=10/x

36x=900

x=900/36

x=25m/s

Formula.... S=ut+1/2at×t

25=0×8+1/2×a×8×8

25=a/2×64

25=64a/2

50=64a

a=50/64

a=0.78125m/s

It is moving under the action of gravity such that a g. Using the equation of kinematics as:

v² - u² = 2gs

v = √2gs

v = √2 × 9.8 x 4.9

v = 9.8 m/s

Velocity, quantity that designates how fast and in what direction a point is moving. A point always moves in a direction that is tangent to its path; for a circular path, for example, its direction at any instant is perpendicular to a line from the point to the centre of the circle (a radius). The magnitude of the velocity (i.e., the speed) is the time rate at which the point is moving along its path.

If a point moves a certain distance along its path in a given time interval, its average speed during the interval is equal to the distance moved divided by the time taken. A train that travels 100 km in 2 hours, for example, has an average speed of 50 km per hour.

During the two-hour interval, the speed of the train in the previous example may have varied considerably around the average. The speed of a point at any instant may be approximated by finding the average speed for a short time interval including the instant in question. The differential calculus, which was invented by Isaac Newton for this specific purpose, provides means for determining exact values of the instantaneous velocity.

Because it has direction as well as magnitude, velocity is known as a vector quantity and cannot be specified completely by a number, as can be done with time or length, which are scalar quantities. Like all vectors, velocity is represented graphically by a directed line segment (arrow) the length of which is proportional to its magnitude.

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(a)The average force exerted on the leg, taking the effective mass of the hand and forearm to be 1.50 kg will be 2400N

(b) Yes the force be any different if the woman clapped her hands together at the same speed and brought them to rest at the same time

(a) Mass (m) = 1.5kg,

initial speed (v) = 4m/s,

time (t) = 2.5milliseconds = 2.5/1000 = 0.0025seconds

F =[tex]\frac{mv}{t}[/tex]  

= (1.5×4)0.0025

= 6/0.0025

F= 2400N

So the force will be 2400N

(b) The force would be different because the mass of the two hands and forearms is 3kg

(2 × 1.5kg = 3kg)

Your question is incomplete most probably your full question was

A person slaps her leg with her hand, bringing her hand to rest in 2.50 milliseconds from an initial speed of 4.00 m/s.

(a) What is the average force exerted on the leg, taking the effective mass of the hand and forearm to be 1.50 kg?

(b) Would the force be any different if the woman clapped her hands together at the same speed and brought them to rest at the same time? Explain why or why not.

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Impulse is equal to the change in momentum of an object. The momentum of an object is equal to its mass times its velocity.

The initial momentum of the dog is 80kg * 2m/s = 160kg*m/s.

The final momentum of the dog is 80kg * 3m/s = 240kg*m/s.

The change in momentum of the dog is 240kgm/s - 160kgm/s = 80kg*m/s.

Therefore, the impulse on the dog is 80kg*m/s.

Answer:

The law of the conservation of mechanical energy states that the total mechanical energy of a closed system remains constant, unless there is work done by non-conservative forces or heat transfer to or from the system.

In other words, the law states that the sum of the kinetic energy (energy of motion) and potential energy (energy due to position) of a system remains constant as long as there are no non-conservative forces acting on the system. Non-conservative forces are forces that dissipate energy, such as friction and air resistance. If these forces are present, they will convert some of the mechanical energy of the system into other forms of energy, such as heat or sound.

For example, if you lift a book off the ground, you are doing work on the book, which increases its potential energy. At the same time, the kinetic energy of the book decreases, because it is not moving. If you then release the book, it will fall to the ground, converting its potential energy back into kinetic energy. If there are no non-conservative forces present, the sum of the kinetic energy and potential energy of the book will remain constant throughout this process. This is an example of the conservation of mechanical energy in action.

The law of the conservation of mechanical energy states that the total mechanical energy of an isolated system remains constant, unless external forces are present. This means that the sum of the kinetic energy and potential energy within the system will remain constant over time, unless the system is subjected to external forces such as friction or gravity. This law is based on the principle that energy cannot be created or destroyed, but rather it can only be transferred or transformed. Therefore, any changes in the mechanical energy of a system must be due to the transfer or transformation of energy from one form to another, rather than the creation or destruction of energy itself.

Answer:

D) Cr

Explanation:

I think its Cr because this is the weird exception. Instead of 4s2 3d4, it likes to half fill all the subshells since that way its more stable otherwise one of the subshells in d would be totally empty.

Let x, y, z, and w be the number of units of products i, ii, iii, and iv, respectively, produced each week.

Maximize 360x + 240y + 360z + 480w

Subject to:

x + y + z = 150 (contractual obligation)

w ≤ 25 (maximum of 25 units of product iv)

x ≤ 480 (available machining time)

y ≤ 400 (available polishing time)

z ≤ 400 (available assembling time)

x, y, z, w ≥ 0 (non-negativity)

The optimal solution is x = 150, y = 0, z = 0, and w = 25, which yields a maximum profit of 90,000 birr.

A man walks for some time 't' with velocity(v) due east. Then he walks for same time 't' with velocity (v) due north. The average velocity of the man is v/√2 meter per seconds. Thus, the correct option is D.

Velocity can be defined as the direction of the movement of the body or an object. Velocity is essentially a vector quantity because it has both the direction and magnitude. It is the rate of change of displacement.

Displacement, S = OB = [tex]\sqrt{(OA)^{2}+ (AB)^{2}}[/tex]

S = [tex]\sqrt{(vt)^{2} + (vt)^{2} }[/tex]

S = [tex]\sqrt{2}[/tex]vt m/s

Total time, T = 2t

Average velocity, Vavg = S/T

Vavg = [tex]\sqrt{2}[/tex]vt/2t

Vavg = v/[tex]\sqrt{2}[/tex]m/s

Therefore, the Vavg of the man is v/√2m/s.

Therefore, the correct option is D.

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Your question is incomplete, most probably the complete question is:

A man walks for some time 't' with velocity(v) due east. Then he walks for same time 't' with velocity (v) due north. The average velocity of the man is

A. 2v

B. √2 v

C. v

D. v/√2

The time for the ball to reach the final velocity is 3 seconds.

The time for the ball to reach the final velocity is calculated by applying first kinematic equation as shown below.

v = u + gt

where;

The time for the ball to reach the final velocity is calculated as;

v = 0 + gt

v = gt

t = v / g

t = ( 29.4 m/s ) / ( 9.8 m/s² )

t = 3 seconds

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After the collision, the kinetic energy of the system is 2/5Mv^2 when a massless rigid rod is pivoted at one end, and a mass M is at the other end collides with another mass M at its midpoint and rotates together.

Given the mass of block is M

The rod rotates about the pivot with a uniform angular velocity.

speed of block = v

The rotating rod collides with another mass M at its midpoint.

The the rod rotates with extra mass M with a total of 2M.

In the collision, angular momentum around the pivot is conserved. Let M's initial mass's final speed be v1. The second mass's final speed is then equal to v1/2. Keeping the starting and ending angular momentum equal we say, Mvr = Mv1r + M(v1/2)(r/2)

v1 = 4/5v

The final kinetic energy is 1/2M(v1)^2 + 1/2M(v1/2)^2 =2/5Mv^2

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When the speed and time is given then the distance travelled by the bus is calculated as 20 miles.

Speed distance time is the formula that is commonly used to explain the relationship between speed, distance and time. We write, speed = distance ÷ time. If you know two of the inputs then you can work out the third one.

Given, speed= 40 miles per hour ; time= 30 minutes= 0.5 hour

As distance is speed ˣ time

= 40 ˣ 0.5

So distance = 20 miles

Hence, we get the distance travelled by the bus is 20 miles.

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The wavelength of a photon whose frequency is specified is calculated to be 1 m.

We know the relation between frequency, wavelength and speed of light as,

ν = c / λ

where,

c is the peed of light in m/s

λ is wavelength in m

ν is frequency in hz

Given that,

Frequency ν = 300 million hertz = 300 × 10⁶ hz

To find wavelength, let us make wavelength as subject,

λ = c / ν = (3 × 10⁸)/(300 × 10⁶) = 1 m

Thus, the wavelength of a photon whose frequency is specified is calculated to be 1 m.

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