The index of refraction for red light in water is 1.331 and for blue light is 1.340. If a ray of white light enters the water at an angle of incidence of 83.00o, the underwater angle of refraction for the blue component of the light is _______degrees.0.02360.012947.7948.2283

Answers

Answer 1


The underwater angle of refraction for the blue component of the light is approximately 61.49 degrees.

The underwater angle of refraction for the blue component of the light can be calculated using Snell's Law:
n1sinθ1 = n2sinθ2 where n1 is the index of refraction of the medium the light is coming from (air, in this case), θ1 is the angle of incidence, n2 is the index of refraction of the medium the light is entering (water, in this case), and θ2 is the angle of refraction.

To find the angle of refraction for the blue component of the light, we need to use the index of refraction for blue light in water, which is 1.340.

n1sinθ1 = n2sinθ2
sin(83.00o) = (1.340)sin(θ2)
sin(θ2) = sin(83.00o) / 1.340
θ2 = sin^-1(sin(83.00o) / 1.340)

Using a calculator, we get:

θ2 = 61.49o

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Related Questions

in the circuits shown, the brightness of the bulbs is observed to compare as follows: a is the brightest, and b and c are equally bright and dimmer than a (a>b=c)

Answers

In the given circuit, bulb A is the brightest, while bulbs B and C have equal brightness that is dimmer than A (A > B = C).

This observation indicates that bulb A has the highest current passing through it, while bulbs B and C share a lower current equally. This could be due to bulb A being part of a parallel circuit branch, while bulbs B and C are connected in series in another branch.

In parallel circuits, the voltage across each bulb is the same, leading to higher brightness, whereas in series connections, the voltage divides across the bulbs, resulting in lower brightness. However, because they have a lower resistance than bulb a, they are both dimmer than bulb a.

Bulbs b and c have equal resistance, which means they share the same amount of current and are therefore equally bright.

Thus, we can conclude that bulb a has a higher resistance than bulbs b and c.

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Bulb A is brighter than B or C because the current is greater through A than B or C.

Bulb A is brighter than B or C because the circuit containing bulb A has overall less resistance.

Bulb A is brighter than B or C because bulb B and C get only half the current from the batter, while A get all of it.

Why is bulb A brighter than B or C?

The current flowing through the circuits is directly proportional to the potential difference across the circuit.

I = V/R

where;

V is the voltageR is the resistance

From the circuit diagram, bulb A is connected to one battery while bulb B and C are connect to one batter as well.

Also bulb B and C are connect in series, so both bulbs (B and C) share the current delivered by the one battery equally.

The current received by each bulb B and C is calculated as;

I(B) + I(C) = V/R = I

I(B) = I(C) = I/2

I/2 + I/2 = I

where;

I/2 is each current flowing in bulb B and C.V is the voltage delivered by the one battery

The bulb A on the other hand, gets all the current delivered by the one battery, and hence shines the brightest.

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in the circuits shown, the brightness of the bulbs is observed to compare as follows: a is the brightest,

why is carrying for the earth necessary? explain​

Answers

Answer: We will survive

Explanation: Caring for the earth is something that we need to do to live or survive on earth because if we don't we may not survive.

Hope this helps! :)

Hi!Caring of earth is necessary because to reduce the misuse of air, water, land, forest, minerals which affects the earth and results in problems like global warming, climatic changes, scarcity of food etc.

Abigail is pushing a reluctant goat through a gate. She does 800 J of work and it takes her 4 seconds. Calculate the power Abigail generates.

Answers

A goat that is being pushed by Abigail through a gate. It takes her 4 seconds and 800 J of work.

The amount of electricity Abigail produces Identity foreclosure on identity

Identity foreclosure, or having an identity but only having ideas and characteristics they have just absorbed from their parents, friends, or group, is a characteristic of adolescence. In addition to having a distinct identity and being prone to discovering it,

Identity foreclosure young individuals in this age group also have a propensity to be influenced by a variety of factors, most notably their families and environments.

In other words, young individuals at this age are still not open to explore new possibilities and concepts; instead, they are following established norms.

Combining the urgent need to delve into one's own identity with

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Một vật có khối lượng 2 kg rơi tự do xuống đất trong khoảng thời gian 0,5 s. Độ biến thiên động lượng của vật trong khoảng thời gian đó là bao nhiêu ? Cho g = 10 m/s2.

Answers

Answer: The change in momentum is +20 kg.m/s

Explanation:

To calculate the final velocity of object, we use the first equation of motion:

\(v=u+at\)

where,

v = final velocity

u = initial velocity = 0 m/s

a = acceleration = \(10m/s^2\)

t = time = 0.5 s

Putting values in above equation, we get:

\(v=0+(10\times 0.5)\\\\v=5m/s\)

Momentum is defined as the product of the mass and velocity of an object. It is given by the equation:

\(p=mv\)

where,

p = momentum

m = mass of object = 2 kg

Let the upward velocity be positive and the downward velocity be negative

When the object is dropped, the velocity is downward

v = -5m/s

Initial momentum = \(2kg\times (-5m/s)=-10kg.m/s\)

When the object is bounced back, the velocity is upward

v = +5m/s

Final momentum = \(2kg\times (+5m/s)=10kg.m/s\)

Change in momentum = Final - Inital

Change in momentum = [10 - (-10)] = +20 kg.m/s

Hence, the change in momentum is +20 kg.m/s

Frank has a eraser it has a mass of 4g and a volume of 2cm what is it’s density?

Answers

Answer:

2 g / cm^3

Explanation:

Density = mass / volume

              = 4 g / 2 cm^3   = 2 g / cm^3

whose principle of physics is creully demonstrated in james wright's an expermient on a bird in the air-pump

Answers

The principle of physics that is cruelly demonstrated in James Wright's "An Experiment on a Bird in the Air-Pump" is the principle of vacuum, specifically the effect of reduced air pressure on living organisms.

The experiment involves placing a bird in an air-pump and gradually reducing the air pressure, causing the bird to suffer and eventually die. This experiment was conducted in the 18th century and was based on the work of scientists such as Robert Boyle and Evangelista Torricelli, who had discovered the principle of vacuum and its effects on living organisms.

The principle of physics demonstrated in James Wright's painting "An Experiment on a Bird in the Air-Pump" is the principle of air pressure and vacuum, which is associated with the work of the scientist Robert Boyle. Boyle's Law states that the pressure of a gas is inversely proportional to its volume at constant temperature.

In the painting, the air-pump is used to create a vacuum in the glass chamber, leading to a decrease in air pressure, which in turn affects the bird's ability to breathe and survive. This demonstrates the importance of air pressure in sustaining life.

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A 2. 9 kg model rocket accelerates at 15. 3 m/s2 with a force of 44 N. Before launch, the model rocket was not moving. After the solid rocket engine ignited, hot gases were pushed out from the rocket engine nozzle and propelled the rocket toward the sky. Which of Newton’s laws apply in this example? Select three options. The first law the second law the third law the fourth law the fifth law.

Answers

Answer:

The first law: the law of Inertia.

Explanation:

Newton’s first law states that if a body is at rest or moving at a constant speed in a straight line, it will remain at rest or keep moving in a straight line at constant speed unless it is acted upon by a force.

Answer:

1st, 2nd, & 3rd law

Explanation:

there is no 5th/4th law ppl

I did this question and it says SELECT 3 OPTIONS not 1 (This answer isn’t meant to be rude but just stating what the question says.)

2. What is the potential energy of a 3 kg ball that is on the ground?

Answers

The potential energy of a 3 kg ball that is on the ground is zero.

What is the potential energy of a ball on the ground?Zero ,It will have no kinetic energy since it is not moving, and because it is laying on the ground, it will also have no potential energy. This is equivalent to the ground's zero potential energy.energy potential = massHeight, 9.8 m/s of gravity3 kilogrammes is the size of you. I think you need to increase this by 9.8 and then convert this to grammes (3000g). Since the ball is on the ground and you are at zero height, your potential energy is also zero.A 3 kilogramme body on a planet's surface has 54 joules of potential energy.

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7. describe the transverse tubule system of the sarcolemma in striated muscles and its relationship with the sarcoplasmic reticulum and the initiation of muscle contraction.

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The transverse tubule (T-tubule) system of the sarcolemma in striated muscles is an invagination of the plasma membrane that runs perpendicular to the myofibrils. The T-tubules are important in transmitting action potentials deep into the muscle fiber, allowing for synchronous contraction.

The T-tubules are closely associated with the sarcoplasmic reticulum (SR), which is a specialized smooth endoplasmic reticulum that stores calcium ions (Ca2+) and releases them upon muscle stimulation. The SR surrounds each myofibril, and the T-tubules form triads with the two SR cisternae flanking each T-tubule.

During muscle contraction, the action potential traveling down the T-tubule activates voltage-gated Ca2+ channels in the adjacent SR membrane, leading to the release of Ca2+ into the cytoplasm. The Ca2+ binds to troponin, triggering a conformational change in the thin filaments and allowing myosin to bind to actin, leading to muscle contraction.

Therefore, the close association of the T-tubule system and the SR is essential for the initiation and regulation of muscle contraction.

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Modern cars have disc brakes. There is a set of pads that presses down on the disk and slows the brakes down due to friction. The typical coefficient of friction between the brake and pads is 0.4 and the brake discs are 8 inches in diameter. Assume that the clamp exerts a force right near the edge of the disc. What force must be applied to the disc to stop a 3000 lb car from 60 mph to 0 mph in 2 seconds

Answers

The force required to stop the car is approximately 18251.04 Newtons. The negative sign indicates that the force is applied in the opposite direction of motion, representing deceleration.

To calculate the force required to stop the car, we can use Newton's second law of motion, which states that the force is equal to the mass multiplied by the acceleration:

Force = Mass × Acceleration

Given:

Mass of the car = 3000 lb

Initial velocity (v₀) = 60 mph = 26.82 m/s

Final velocity (v) = 0 mph = 0 m/s

Time (t) = 2 seconds

To find the acceleration, we can use the formula:

Acceleration = (Final velocity - Initial velocity) / Time

Acceleration = (0 - 26.82) / 2 ≈ -13.41 m/s² (negative sign indicates deceleration)

Now, we need to convert the mass of the car from pounds to kilograms:

Mass = 3000 lb ≈ 1360.78 kg

Next, we can calculate the force:

Force = Mass × Acceleration

Force = 1360.78 kg × -13.41 m/s² ≈ -18251.04 N

The force required to stop the car is approximately 18251.04 Newtons.

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What is the direction of the centripetal force when applied to an object?

What is the direction of the centripetal force when applied to an object?

Answers

Answer:

It would move in a line tangent to the circular path

Explanation:

Yes that’s the answer good luck

Which statements describe a situation in which work is being done? Select three options.

Answers

Answer:

here's the answers!

Explanation:

A mover carries a box up a flight of stairs.

A mover carries a box across a room.

A weightlifter lifts a barbell off the ground.

hope it helps u!

Answer:

A, D, E

Explanation:

Did it

Assume you are using a microscope that has the ability to provide specific wavelengths of light. Which of the following provides the best minimum resolution distance?
A. a system using a wavelength of 280 nm with a numerical aperture of 0.6 in air
B. a system using a wavelength of 250 nm with a sine of the angle of the light cone equal to 0.33 in immersion oil
C. a system using a wavelength of 400 nm with a numerical aperture of 0.75 in air
D. a system using a wavelength of 400 nm with an angle of the light cone being 72° in air
E. a minimum resolution distance of 240 nm

Answers

Option A provides the best minimum resolution distance among the given options, with a minimum resolution distance of approximately 233.33 nm.

To determine the best minimum resolution distance among the given options, we need to consider the principles of microscopy and the factors that affect resolution.

Resolution in microscopy is determined by the numerical aperture (NA) and the wavelength of light used. The formula for calculating the minimum resolvable distance (d) is given by:

d = λ / (2 * NA)

Where λ is the wavelength of light and NA is the numerical aperture.

Let's evaluate each option:

A. System using a wavelength of 280 nm with a numerical aperture of 0.6 in air.

d = 280 nm / (2 * 0.6) ≈ 233.33 nm

B. System using a wavelength of 250 nm with a sine of the angle of the light cone equal to 0.33 in immersion oil.

Here, we are not given the numerical aperture directly, but the sine of the angle (which is related to NA) and the immersion oil indicates a higher refractive index compared to air. However, we cannot directly compare this option to the others without more information.

C. System using a wavelength of 400 nm with a numerical aperture of 0.75 in air.

d = 400 nm / (2 * 0.75) ≈ 266.67 nm

D. System using a wavelength of 400 nm with an angle of the light cone being 72° in air.

Similarly to option B, we don't have the numerical aperture, only the angle of the light cone. Therefore, we cannot directly compare this option to the others.

E. Minimum resolution distance of 240 nm (no other information provided).

Comparing the calculated minimum resolution distances:

Option A: 233.33 nm

Option C: 266.67 nm

Option E: 240 nm

Based on these calculations, Option A provides the best minimum resolution distance among the given options, with a minimum resolution distance of approximately 233.33 nm.

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please help! you are amazing! brainliest!
The NGC 3603 region of space is shown below. It is a cloud of gas and dust. Stars are forming in this cloud. How would NGC 3603 be classified?

A. As a nebula
B. As a galaxy
C. As a planet
D. As a solar system

Answers

I think it’s a nebula i hope it’s right

The NGC 3603 region of space is shown below. It is a cloud of gas and dust. Stars are forming in this cloud. The NGC 3603 be classified as a nebula. The correct option is A.

What is a nebula?

A tiny, ball-shaped nebula is known as a planetary nebula. It generates an ionized gas that is luminous. Large and typically erratic clouds are produced by diffuse nebulae.

Due to their big stars, they typically form a cluster of stars. a cloud of gas in space that can be seen in the night sky as a vaguely discernible brilliant patch, as something black, or as a shadow against other luminous objects.

Dust and gases, primarily hydrogen and helium, make up nebulae. The mass of gas and dust eventually grows so large that it is forced to collapse by gravity. The material in the cloud's core heats up as a result of the collapse, and this hot core is the start of a star.

Therefore, the correct option is A. As a nebula.

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A small airplane flies 9000 moters east in 60 seconds. What is the airplane's velocity?

Answers

Answer:

V= 150

Explanation:

9000/60 or 9000 ÷ 60 is 150

The formula is displacement divided by change of time.

The position of a car at time t is given by the function p(t)=t2 2t−4. What is the velocity when p(t)=11? assume t≥0

Answers

The velocity when function p(t)=11 is 8 .

According to the question

The position of a car at time t  represented by function :

\(p(t)=t^{2} +2t-4\)

Now,

When  function p(t) = 11 , t will be

\(p(t)=t^{2} +2t-4\)

11 = t²+2t-4

0 = t² + 2t - 15

or

t² +2t-15 = 0

t² +(5-3)t-15 = 0

t² +5t-3t-15 = 0

t(t+5)-3(t+5) = 0

(t-3)(t+5) = 0  

t = 3 , -5  

as t cannot be -ve as given ( t≥0)

so,

t = 3

Now,

the velocity when p(t)=11

As we know velocity = \(\frac{position}{time}\)

therefore to get the value of velocity from  function p(t)

we have to differentiate the function with respect to time

\(\frac{d(p(t))}{dt} =\frac{d}{dt} (t^{2} +2t-4)\)

v(t) = 2t + 2  

where v(t) = velocity at that time

as t = 3 for  p(t)=11  

so ,

v(t) = 2t + 2  

v(t) = 2*3 + 2  

v(t) = 8

Hence, the velocity when function p(t)=11 is 8 .

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explain what the net effect of the sodium-potassium pump is.

Answers

The net effect of the sodium-potassium pump is to create a transmembrane electrical potential.

Sodium-potassium pump is a process in which sodium ions (Na+) are transported out of the cell while potassium ions (K+) are transported into the cell. The net effect of this process is that there is a greater concentration of K+ ions inside the cell and a greater concentration of Na+ ions outside the cell.

This creates an electrochemical gradient across the cell membrane. This gradient is what allows cells to carry out a variety of functions such as transmitting signals and carrying out metabolic processes. The electrochemical gradient is also what drives the movement of other molecules across the cell membrane.

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Liquid containers are made of a variety of materials, each with
its own unique characteristics. Give specific examples of materials
used for liquid containers that are 1) covalently bonded, 2) metal
b

Answers

Liquid containers are necessary to store liquids or other fluids, and are manufactured using various materials. These materials have unique properties and physical characteristics to meet the diverse requirements of different fluids and their storage conditions. Two of the materials used to make liquid containers are covalently bonded and metal.

1) Covalently bonded materials:Covalent bonds are strong bonds formed between atoms by sharing electrons. Covalently bonded materials are non-metallic materials that use a covalent bond between atoms to form the material. Examples of covalently bonded materials that can be used to manufacture liquid containers include:

- Polyethylene Terephthalate (PET): PET is a plastic material used to make water bottles and soft drink bottles. PET is lightweight and unbreakable, making it ideal for shipping and storing liquids.

- Polypropylene (PP): PP is a popular plastic material that is lightweight, durable, and resistant to chemical reactions. PP is used to make containers that store harsh chemicals and strong acids, as well as food containers, such as yogurt cups and margarine tubs.

In conclusion, there are many materials available that can be used to manufacture liquid containers, including covalently bonded materials and metals. The choice of material used depends on the type of liquid being stored and the storage conditions.

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Which of the following BEST describes all planets in the universe?

large, spherical body made mostly of rock

large, spherical body that orbits in a clear path around a sun

large, spherical body that orbits in a clear path around a star

large, spherical body made mostly of gases

Answers

Answer:c large, spherical body that orbits in a clear path around a star

Explanation:]

All planets in the universe are the large, spherical body that orbits in a clear path around a star. Therefore, option (C) is correct.

What is a planet?

Planets can be described as astronomical bodies which are orbiting a star and are big enough to have their own gravity.

In the solar system, a planet is a body that revolves around the sun in fixed orbits and does not have the light of its own but reflects the light of the sun. They do not twinkle like other stars which are too close to us.

Our solar system consists of 8 planets which are in the order of Mercury, Venus, Earth, Mars, Jupiter, Saturn, Uranus, and Neptune.

With approximately two trillion galaxies within our observable Universe,  and are approximately 10²⁵ planets that orbit stars, with some approximately 10²⁶ to 10³⁰ additional starless planets.

Therefore, option (c) is correct according to which planets are the large, spherical body that orbits in a clear path around a star.

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the diameter of a typical neutron star of 1 solar mass is predicted to be approximately

Answers

The exact size of a neutron star can vary depending on its mass, but a typical neutron star of 1 solar mass is predicted to have a diameter of approximately 20 kilometers.

A neutron star is an extremely dense object that forms when a massive star collapses in on itself after running out of fuel. The core of the star collapses under the force of gravity, and the protons and electrons combine to form neutrons. This results in a star that is incredibly dense, with a mass of about 1.4 times that of the Sun but a diameter of only about 20 kilometers. This is because the neutrons are packed incredibly tightly together, creating a state of matter that is unlike anything we experience on Earth.

The reason for the small size of a neutron star, despite its mass, is due to the extreme gravitational force compressing the neutrons together. This results in a very compact and dense object, leading to the estimated diameter of approximately 20 kilometers.

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An immersion heater is rated 120w. How long does it take the heater to raise the temperature of 1.2kg of water by 15°c.

Answers

Answer:

dmakqkwnwj fddfgdddwsf

a fish swimming in this lake can lie still at a depth of five meters, without having to exert any upward or downward forces to remain at this depth. the average density of this fish at this depth group of answer choices is less than the density of the surrounding water. cannot be determined. is equal to the density of the surrounding water. is greater than the density of the surrounding water.

Answers

The average density of this fish that can lie still at a depth of 5 m without having to exert any upward or downward forces to remain at this depth is equal to the density of the surrounding water.

Fg = m g

Fb = ρ V g

Fg = Force of gravity

Fb = Buoyant force

m = Mass

g = Acceleration due to gravity

ρ = Density of medium

V = Volume of object

ρ = m / V

If the fish could remain submerged without any external forces acting on it, it means that the force of gravity and the buoyant force is equal.

Fb = Fg

ρw Vf g = mf g

ρw = mf / Vf

ρw = ρf

Therefore, the average density of this fish at this depth is equal to the density of surrounding water.

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Which statement compares the attractive forces that hold particles together?

Answers

Hydrogen bonds dipole attractions

a body is in mechanical equilibrium when it is being moved by a constant force the sum of the external forces and the sum of the external torques acting on it is zero it is moving with constant acceleration the sum of the external forces acting on it is zero the sum of the external torques acting on it is zero

Answers

A body is in mechanical equilibrium when the (c) sum of the external forces acting on it is zero. This means that the body is not accelerating and its angular velocity is not changing. In other words, the body is in a state of rest or moving with a constant velocity.

When a body is in mechanical equilibrium, the net force acting on it is zero, which means that the body is not accelerating. This is because the body experiences equal and opposite forces that cancel each other out, resulting in a net force of zero.

In addition, when a body is in mechanical equilibrium, the net torque acting on it is zero, which means that the body is not rotating or its angular velocity is not changing. This is because the body experiences equal and opposite torques that cancel each other out, resulting in a net torque of zero.

To summarize, a body is in mechanical equilibrium when the sum of the external forces and the sum of the external torques acting on it is zero. This means that the body is not accelerating and its angular velocity is not changing. A common example of a body in mechanical equilibrium is an object at rest on a flat surface, where the force of gravity is balanced by the normal force exerted by the surface.

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A body is in mechanical equilibrium when

A.it is moving with constant acceleration.

B.it is being moved by a constant force.

C.the sum of the external forces acting on it is zero.

D.the sum of the external torques acting on it is zero.

E.it is moving with constant linear velocity and rotating with a constant angular velocity.

A stone is projected upwards to an angle of 30° to the horizontal from the top of a tower of height 100m and it hits the
ground at a point Q. if the initial velocity of projection is 100m/s, calculate:
(0
Maximum height of the stone above the ground. (ii) Time it takes to reach this height (iii) Time of flight of the
stone. (iv) Horizontal distance from the foot of the tower to the point Q.

Answers

The correct answer are as follows

(i) 250 m is the maximum height

(ii) Time to reach the height is 5 s

(iii) Time of the flight is 10 s

(iv) Horizontal distance from the foot of the tower to point Q is 433 m

Given,  π°= stand as the angle= 30°

h= height= 100m

u= initial velocity= 100m/s

g= acceleration due to gravity= 10m/s²

(i) maximum height= h(max)= u²sin²π°/g

= 100²(sin30°)²/10

= 10000(0.25)/10

= 1000(0.25)

= 250m

height(max)= 250m

(ii)time it takes to reach the height= using π°/g

= 100sin30°/10

= 10 × 0.5

= 5

t= 5s

(iii)time of flight, T= 2t

T= 2(5)= 10

T= 10s

(iv)horizontal distance=H= u²cosπ°/2g

= 100²(cos 30°)/2(10)

= 10000(0.866)/20

= 500(0.866)

= 433

H ( distance)= 433m.

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evolutionary theory describes that sexual attraction is greatest toward

Answers

Evolutionary theory describes that sexual attraction is greatest toward (A) physically attractive partners.

Evolutionary theory suggests that individuals are generally more sexually attracted to partners who possess traits associated with reproductive fitness and good health. Physical attractiveness is often considered an indicator of genetic quality and reproductive potential, as certain physical features can signify good health, symmetry, and fertility.

While preferences can vary among individuals and cultural influences can also play a role, evolutionary theory posits that, on average, individuals are more likely to be sexually attracted to partners who exhibit physical attractiveness traits.

It's important to note that attraction is a complex phenomenon influenced by various factors, and individual preferences can be influenced by personal experiences, cultural norms, and individual differences.

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Complete question:

Evolutionary theory describes that sexual attraction is greatest toward

A. physically attractive partners.

B. older partners.

C. partners who resemble the opposite sex parent.

D. partners with artistic or musical talents.

What is the difference in moment and work?

Answers

Answer:

Moment is Newtons-meters, and work is Newtons-meters. No they're not the same. For work the force has to be in the same direction (vector dot product) as relevant distance (that is the distance traveled), whereas for torque the force has to be perpendicular (vector cross product) to the relevant distance (which is the lever length).

Explanation:

Hope this helped

describe some of the characteristics of the universe that are explained by the standard big bang model.

Answers

The standard big bang model provides a comprehensive explanation for many of the key features of the universe that we observe today.

The standard big bang model is the most widely accepted scientific theory for the origin and evolution of the universe. It describes the beginning of the universe as a singularity, a point of infinite density and temperature, which then rapidly expanded and cooled. Here are some of the key characteristics of the universe that are explained by this model:

1. Cosmic Microwave Background Radiation: The big bang model predicts that as the universe expanded and cooled, it left behind a faint afterglow of radiation known as the Cosmic Microwave Background (CMB). This radiation was discovered in 1965 and is one of the strongest pieces of evidence for the big bang.

2. Abundance of Light Elements: The big bang model predicts that in the first few minutes after the singularity, the universe was hot and dense enough for nuclear reactions to occur, producing light elements such as hydrogen and helium. Observations of the abundance of these elements in the universe match the predictions of the big bang model.

3. Large Scale Structure: The big bang model predicts that the universe started out as a homogenous and isotropic distribution of matter, but over time, gravity caused it to clump together and form large scale structures such as galaxies and clusters of galaxies. Observations of the distribution of matter in the universe match the predictions of the big bang model.

4. Expansion of the Universe: The big bang model predicts that the universe is expanding, meaning that galaxies are moving away from each other. This was first discovered by Edwin Hubble in 1929 and has been confirmed by many subsequent observations.

5. Age of the Universe: The big bang model predicts that the universe is around 13.8 billion years old, based on measurements of the CMB and the observed expansion rate of the universe. This estimate is in good agreement with other independent measurements, such as the ages of the oldest stars in the Milky Way.

Overall, the standard big bang model provides a comprehensive explanation for many of the key features of the universe that we observe today. However, there are still some open questions and mysteries that remain, such as the nature of dark matter and dark energy.

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A 6.0 kg metal ball moving at 4.0 m/s hits a 6.0 kg ball of putty at rest and sticks to it. The two go on at 2.0 m/s.

(a) What is the kinetic energy of the metal ball before it hits?

(b) What is the kinetic energy of the metal ball after it hits?

(c) What is the kinetic energy of the putty ball after being hit?

(d) How much energy does the metal ball lose in the collision?

(e) How much kinetic energy does the putty ball gain in the collision?

(f) What happened to the rest of the energy?

Answers

The metal ball lost energy while the putty ball gained energy.

What is momentum?

Momentum is the product of mass and velocity of the body. We must note that momentum before collision is equal to momentum after collision.

1) Kinetic energy before collision = 1/2mv^2 = 0.5 * 6 * 4 = 12 J

2) kinetic energy after collision = 0.5 * 6 *  2= 6 J

3) Kinetic energy of putty ball = 0.5 * 6 *  2= 6 J

4) Energy lost by the metal ball = 12 J -  6 J = 6 J

5) Energy gained by the putty ball = 6 J - 0J = 6 J

6) The rest of the energy was converted to heat after the collision.

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1. A train is traveling on a straight section of track at constant speed. In 60
seconds it covers a distance of 1800 meters. What is the speed of the
train?

Answers

Answer:

30 mph

Explanation:

1800 divided by 60

When an object travels at a constant speed with zero acceleration it is known as uniform rectilinear motion. Then its velocity is given by:

v = d / t

Where d is distance and t is time. Evaluating:

v = 1800 m / 60 s

v = 30 m/s

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