A single-slit diffraction pattern is formed on a distant screen. Assuming the angles involved are small, by what factor will the width of the central bright spot on the screen change if the slit width is doubled? A single-slit diffraction pattern is formed on a distant screen. Assuming the angles involved are small, by what factor will the width of the central bright spot on the screen change if the slit width is doubled? It will be cut in half. It will double. It will become eight times as large. It will be cut to one-quarter its original size. It will become four times as large.

Answer:

Spiral Galaxies

Explanation:

The most common type galaxy found throughout the universe is the spiral galaxy!

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Answer:

D

Explanation:

Sum of the concentrations of each of reactant species is equal to the sum of the concentrations of each of the product species

The radius of curvature of the highway exit is approximately 220 km.

To find the radius of curvature of the highway exit, we can use the centripetal force equation:

F = mv^2 / r

where F is the maximum static friction force, m is the mass of the car, v is the maximum safe speed, and r is the radius of curvature.

We can solve for r by rearranging the equation:

r = mv^2 / F

Substituting the given values, we have:

r = (1000 kg)(25.2 m/s)^2 / (0.688)

r = 2.20 x 10^5 m

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Four times as much energy is retained in the parallel capacitors connection than in the capacitors connection.

People have figured out how to transform energy from one type to the other and use it to accomplish tasks, making modern civilization possible.

Given two identical capacitor

i.e they have the same capacitance C

A) Now for series connection,

1/Ceq=1/C+1/C

1/Ceq=(1+1)/C

1/Ceq=2/C

Then, Ceq=C/2

Ceq=½C

So the energy stored in a capacitor is given as

Us= ½CeqV²

Us=½×½CV²

Us=¼CV²

Now, for parallel connection

Ceq=C+C

Ceq=2C

Then,

Energy is given as

Up=½CeqV²

Up=½×2CV²

Up=CV²

Comparing this to series

Us=¼CV², since CV²=Up

Then, Us=¼Up

Up=4Us

Up/Us=4

As a result, the energy saved in the parallels capacitor connection is four times that of the series capacitor connections.

B) Charges

to connect in series

We are aware that the same charge travels in series. Now that they are the same capacitance and are in series, the voltage differential is V/2, so they will split the voltage.

And the charge is given as

Q=CeqV

Qs=½CV

Qs=½CV for each capacitor

Then the total charge will be

Qs=½CV×2.

Qs=CV

Now, for parallel connection

The charge for parallel is given as

Q=CeqV

Qp=2CV

Now comparing

Qp/Qc=2CV / CV

Qp/Qc=2

The maximum charge of the parallel is four times that of the series again

C) Electric field is given as

E=V/d

Ep=V/d

Due to their identical capacitance, they will split the voltage in a series, where the voltage differential is now V/2.

Es=V/2d.

Then,

Ep/Es=V/d ÷ V/2d

Ep/Es= 2

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The  power the swimmer must provide to overcome that drag force is 50 W.

Work done is equal to product of force applied and distance moved.

Work = Force x Distance

Given is  an athlete, swimming at a constant speed, covers a distance of 203 m in a time period of 5 minutes and 50 seconds = 350 seconds. The drag force exerted by the water on the swimmer is 86.0 N.

Work done by drag force is  W= F x d

So, W = 86 N x  203 m

W = 17.458 kJ

Power , a swimmer is provided P = Work done/ Time

P = 17458 / 350

P = 50 W

Thus, the power, the swimmer must provide to overcome that drag force is  50 W.

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Answer:

28.3 m/s 45° below horizontal

Explanation:

Given in the y direction:

Δy = -20 m

v₀ = 0 m/s

a = -10 m/s²

Find: v

v² = v₀² + 2aΔy

v² = (0 m/s)² + 2 (-10 m/s²) (-20 m)

v = -20 m/s

In the x direction, acceleration is 0, so v = v₀ = 20 m/s.

The magnitude is found with Pythagorean theorem:

v² = (20 m/s)² + (-20 m/s)²

v = 28.3 m/s

The direction is found with trig:

θ = atan(-20 m/s / 20 m/s)

θ = -45°

Yes, if the mass starts at rest, the change in speed will be equal the final speed, because:

Δv = Vf - Vo

How Vo (Initial velocity) is equal zero, we simplificate:

Δv = Vf

Then, the change of the speed, if the mass starts at rest, will be equal to final velocity.

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Answer:

light is captured through ozone layer.

Explanation:

as its the ozone layer that protects earth from the harmful radiation of the earth and store only the light and energy needed.

Fun Fact - ozone layer can provide light for about 7 minutes so if sun disappears, we won't even realise it for 7 minute straight.

Galaxies were originally found to rotate at a rate that was too fast for said amounts of gravity that might be produced by the luminous mass. This led to the discovery of dark matter.

The force that pulls items toward the center of a planetary or other entity is called gravity. Each one of the planets are kept in orbits around the sun by gravity.

Albert Einstein discovered the solution in 1915 when he released his general relativity theories. All entities with mass, including our Earth, really bend and curve spacetime, which is what causes gravity to pull you toward the ground.

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A roller coaster uses 800 000 J of energy to get to the top of the first hill. During this climb, it gains 500 000 J of potential energy and pauses for a fraction of a second at the very top before heading down the other side. At the top of the hill total, the kinetic energy of the roller coaster would be zero as the velocity is zero at the top of the hill, therefore the total mechanical energy is only because of potential energy.

Mechanical energy is the combination of all the energy in motion represented by total kinetic energy and the total stored energy in the system which is represented by total potential energy.

The expression for total mechanical energy is as follows

ME= KE+PE

As total mechanical energy is the sum of all the kinetic as well as potential energy stored in the system.As given in the problem a roller coaster uses 800000 J of energy to get to the top of the first hill. During this climb, it gains 500 000 J of potential energy which means 300000 J of energy is lost in the frictional energy while climbing the hill,

Thus at the top of the hill, the total energy of the roller coasters is only due to the potential energy.

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Answer: Distance traveled in time t is s

Explanation: Self Explanatory

The energy lost to friction and air resistance is 186 J.

option B.

The energy lost to friction and air resistance is calculated from the change in the mechanical energy of the pendulum.

The initial potential energy of the pendulum at the initial position is calculated as;

PEi = mghi

where;

P.Ei = 12 kg x 9.8 m/s² x 20 m

P.Ei = 2,352 J

The final kinetic energy of the pendulum is calculated as follows;

K.Ef = 0.5 x 12 kg x (19 m/s)²

K.Ef = 2,166 J

ΔE = 2,166 J - 2,352 J

ΔE = -186 J

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The hypothesis is, the thickness of transparent glass affects how much light passes through. Option A is correct.

A hypothesis is a proposed explanation or prediction for a phenomenon or observation that is based on limited evidence and subject to testing and validation through further investigation. It is an essential part of the scientific method, which involves developing a research question, making observations, and forming a hypothesis to explain the observed phenomenon.

The hypothesis should be testable, falsifiable, and based on evidence and reasoning. Testing the hypothesis involves designing experiments and collecting data, which can either support or refute the hypothesis. If the hypothesis is supported by the data, it may be further developed into a scientific theory, which is a widely accepted explanation of a natural phenomenon that has been extensively tested and validated. Option A is correct.

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Answer:

Single Displacement Reaction

Explanation:

Here, only one element is getting replaced during the reaction, that is, silver gets replaced by copper, hence, single displacement reaction.

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Answer:

Explanation:

The electric force between two protons is 10^36 times stronger than the gravitational force between them.

Answer:

Electric force is 1.23 x 10³⁶ times stronger than gravitational force.

Explanation:

First, we will calculate the gravitational force using Newton's Law:

\(F_G = \frac{Gm^2}{r^2}\\\\\)

where,

F_G = Gravitational Force = ?

G = Gravitational Constant = 6.67 x 10⁻¹¹ Nm²/kg²

m = mass of proton = 1.67 x 10⁻²⁷ kg

r = distance between protons

Therefore,

\(F_G = \frac{(6.67\ x\ 10^{-11}\ Nm^2/kg^2)(1.67\ x\ 10^{-27}\ kg)^2}{r^2}\\\\F_G = \frac{1.86\ x\ 10^{-64}\ Nm^2}{r^2}\\\\\)

Now, we will calculate the electrostatic force using Colomb's Law:

\(F_E = \frac{kq^2}{r^2}\\\\\)

where,

F_E = Electrostatic Force = ?

k = Colomb's Constant = 9 x 10⁹ Nm²/C²

q = charge of proton = 1.6 x 10⁻¹⁹ C

r = distance between protons

Therefore,

\(F_E = \frac{(9\ x\ 10^{9}\ Nm^2/kg^2)(1.6\ x\ 10^{-19}\ C)^2}{r^2}\\\\F_E = \frac{2.3\ x\ 10^{-28}\ Nm^2}{r^2}\\\\\)

Dividing both forces:

\(\frac{F_E}{F_G} = \frac{2.3\ x\ 10^{-28}}{1.86\ x\ 10^{-64}}\)

F_E = 1.23 x 10³⁶ F_G

Therefore, electric force is 1.23 x 10³⁶ times stronger than gravitational force.

Answer:

Explanation:

R + 4.17sin(40) = mg

R = mg - 4.17sin(40)

= 2(9.8) - 4.17sin(40)

= 16.91957567

= 16.92 N

A 2.00 kg block is pulled across a flat, friction less floor with a 4.17 N force directed 40.0° above horizontal.  The normal force acting on the block  16.92 N.

A force is an effect that can alter an object's motion according to physics. An object with mass can change its velocity, or accelerate, as a result of a force. An obvious way to describe force is as a push or a pull. A force is a vector quantity since it has both magnitude and direction.

Given in the question,

R + 4.17 sin(40) = mg

R = mg - 4.17 sin(40)

  = 2(9.8) - 4.17 sin(40)

  = 16.91957567

  = 16.92 N

A 2.00 kg block is pulled across a flat, friction less floor with a 4.17 N force directed 40.0° above horizontal.  The normal force acting on the block  16.92 N.

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Answer:

A. gravitational force always true.

B, C and D could be true under the correct conditions

Answer:

The answer is B.intelligence tests

Explanation:

The answer is C.intelligence tests

The vector with a magnitude of 5 and in the direction of the vector 4i - 3j + k is approximately (20/√26)i + (-15/√26)j + (5/√26)k.

The given vector can be normalized before being multiplied by the desired magnitude. This is how to locate the vector:

The vector that has been provided should be normalized by dividing each of its components by its magnitude. The Pythagorean theorem can be used to determine the magnitude of the vector 4i - 3j + k:

Magnitude = √(4² + (-3)² + 1²) = √(16 + 9 + 1) = √26

Normalize the vector by dividing each component by the magnitude:

Normalized vector = (4/√26)i + (-3/√26)j + (1/√26)k

Multiply the normalized vector by the desired magnitude:

To obtain a vector with a magnitude of 5, multiply each component of the normalized vector by 5:

Desired vector = 5 * ((4/√26)i + (-3/√26)j + (1/√26)k)

Simplifying the expression gives:

Desired vector ≈ (20/√26)i + (-15/√26)j + (5/√26)k

So, the vector with a magnitude of 5 and in the direction of the vector 4i - 3j + k is approximately (20/√26)i + (-15/√26)j + (5/√26)k.

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Answer:

B. . by consuming plants or other animals

Answer:

Explanation:

Initial kinetic energy of particle

= 1/2 m V²

= .5 x .208 x 1.26²

= .165 J

Work done by force = force x displacement

= .766 x .195

= .149 J

This energy will be added up .

Total final kinetic energy

= initial kinetic energy + work done on the particle

= .165 + .149 J

=  .314 J .

a. A high-pitch wave is characterized by a high frequency and a short wavelength. The frequency determines the pitch of the sound, with higher frequencies corresponding to higher pitches.

The wavelength is the distance between two consecutive peaks or troughs of the wave and is inversely proportional to the frequency. Therefore, a high-pitch wave has a shorter wavelength.

The amplitude of the wave, which is the height of the peak or the depth of the trough, is not directly related to the pitch of the sound, but it does determine the volume or intensity of the sound.

b. A high-volume wave is characterized by a high amplitude and a relatively long wavelength. The amplitude determines the volume or intensity of the sound, with higher amplitudes corresponding to louder sounds.

The wavelength of the wave does not directly affect the volume of the sound, but it can affect how the sound is perceived in different environments.

In general, longer wavelengths are more effective at traveling through obstacles such as walls and are better at penetrating long distances, whereas shorter wavelengths are more easily scattered and attenuated in the atmosphere.

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Answer:

the magnitude F of the total friction force is 2456.7 lb

Explanation:

Given the data in the question;

maximum speed = 35 mi/hr = ( 35×5280 / 60×60) = 51.3333 ft/s

diameter = 200ft

radius = 200/2 = 100 ft

First we calculate the normal component of the acceleration;

\(a_{n}\) = v² / p

where v is the velocity of the car( 51.3333 ft/s)

p is the radius of the curvature( 100 ft)

so we substitute

\(a_{n}\) = (51.3333 ft/s)² / 100ft

\(a_{n}\) = (2635.1076 ft²/s²) / 100ft

\(a_{n}\) = 26.35 ft/s²

we convert Feet Per Second Squared (ft/s²) to Standard Gravity (g)

1 ft/s² = 0.0310809502 g

\(a_{n}\) = 26.35 ft/s² × 0.0310809502 g

\(a_{n}\) =  0.8189g

Now consider the dynamic equilibrium of forces in the Normal Direction;

∑\(F_{n}\) = m\(a_{n}\)

F = m\(a_{n}\)

we know that mass of the car is 3000-lb =  3000lb(\(\frac{1}{g}slug\)/1 lb)

so

we substitute

F =  3000lb(\(\frac{1}{g}slug\)/1 lb)  × 0.8189g

F = 2456.7 lb

Therefore; the magnitude F of the total friction force is 2456.7 lb

Claims that if temperature is kept constant, the end result of both volume and pressure is constant. The new level is 1036 Pa, which is how this can be expressed.

So either a strong force or a strong force applied over a short area can cause a lot of pressure. When we stand up compared to when we are walking, more of our feet are in proximity to the earth. Pressure would be lower if there was more surface area in contact.

An external force is an agent that has the power to alter the resting or moving condition of a body. It has a direction and a magnitude. There are both living things and non-living objects in the concept of a force.

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Answer:

130.528779365 degrees

Explanation:

The angle of incidence is 30 degrees. From this, we can use Snell's Law to calculate the angle of refraction.

n1/n2 = sin(theta2)/sin(theta1)

let theta1 be 30 degrees, and n1 be the refractive index of air = 1

1/1.5 = sin(theta2)/sin(30deg)

solve:

sin(theta2) = 2/3 sin(30deg) = 1/3

theta2 = arcsin (1/3) = 19.4712206345 degrees

The angle of reflection will always be equal to the angle of incidence, in this case, 30 degrees.

Because these angles are measured relative to the normal, the angle formed between the two rays is the difference between the normal line (180 degrees) and the sum of the two angle measures.

Angle between = 180-30-19.4712206345 = 130.528779365 degrees

The angle between the reflected and transmitted rays 130.5287 degrees

The angle of incidence is 30 degrees. From this, we can use Snell's Law to calculate the angle of refraction.

\(\dfrac{n_1}{n_2} = \dfrac{sin(\theta_2)}{sin(\theta_1)}\)

let \(\theta_1\) be 30 degrees, and n1 be the refractive index of air = 1

\(\dfrac{1}{1.5} = \dfrac{sin(\theta_2)}{sin(30)}\)

solve:

\(sin(\theta_2) = \dfrac{2}{3} sin(30) = \dfrac{1}{3}\)

\(\theta_2 = sin ^{-1}\dfrac{1}{3} = 19.4712 \ degrees\)

The angle of reflection will always be equal to the angle of incidence, in this case, 30 degrees.

Because these angles are measured relative to the normal, the angle formed between the two rays is the difference between the normal line (180 degrees) and the sum of the two angle measures.

Angle between = 180-30-19.4712206345 = 130.528779365 degrees

Hence the angle between the reflected and transmitted rays 130.5287 degrees

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Answer:

Calcium is an essential mineral that is important in the diet of many living things as it plays several important roles in the body:

1. Bone and teeth formation: Calcium is a key component of bones and teeth, making them strong and healthy.

2. Muscle function: Calcium plays a critical role in muscle contraction and relaxation, helping muscles function properly.

3. Nerve function: Calcium is involved in the transmission of nerve impulses, which allows for proper communication between nerve cells.

4. Blood clotting: Calcium is required for blood clotting, which is important for preventing excessive bleeding after an injury.

5. Cellular signaling: Calcium is involved in many cellular signaling pathways, helping to regulate various physiological processes in the body.

Therefore, having an adequate amount of calcium in the diet is crucial for the overall health and well-being of many living organisms.

The floor push up on the crate by a force of 51.75 N and the acceleration of the crate is 4.14m/s².

The angles at which the forces is applied is 26.7°. The coefficient of kinetic friction between the crate and the floor is 0.349. The force applied by terrance is 115 Newton. Total mass of the crate is 20.6 kilograms.

When the force F is applied at an angle A. The force will have two components, one along horizontal, FcosA and one along vertical, FsinA.

As the crate is pulled, the the floor will apply a normal reaction against the crate.

Normal force N is equal to FsinA.

Putting the values,

N = 115×sin(26.7°)

N = 115×0.45

N = 51.75 Newton.

The net acceleration can be calculated as,

Net force on the crate = Ma

Where a is the net acceleration,

Force applied(horizontal) - Friction force = Ma.

FcosA - uN = Ma

Where u is coefficient of friction,

Putting all the values,

115(0.9) - 0.349(51.75)= (20.6)a

103.5 - 18.06 = (20.6)a

a = 4.14m/s².

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Diving seabirds need to account for the bending of light because water has a higher refractive index than air.

When light passes through the air-water interface, it slows down and changes direction, causing the image of an object to appear distorted. This phenomenon is known as refraction. For diving seabirds, the refraction of light can make it challenging to accurately locate their prey when diving, which is essential for their survival.

To account for the bending of light, diving seabirds have evolved specialized eyes that allow them to adjust their focus and perceive images differently than humans. These adaptations enable the birds to see through the distorted image caused by refraction and accurately locate their prey while diving. One adaptation that diving seabirds have is a flattened cornea, which allows them to maintain a sharp focus while diving.

Overall, the ability of diving seabirds to account for the bending of light is essential for their survival, as it enables them to accurately locate and catch their prey while diving in the often murky and challenging conditions of the ocean.

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Answer:

it will take 4 seconds to travel 2 meters.