Which pairs of subsets of the real number system have no common elements?

Answer:

D. 15 kgm/s is the value of impulse applied

Intensity of laser beam is 72.3W/m²

Given:

average power output = 0. 250 mw

To Find:

intensity of laser beam

Solution:

First of all, we need to find the area of the circular spot, which is given by:

A = πr^2

where r is the radius of the spot, which is half the diameter, therefore

r = d/2 = 2.10mm/2 = 1.05mm = 1.05 x 10^-3m

So, the area of the spot is

A = π(1.05 10^-3m)^2 = 3.46 10^-6m²

We know that the power output of the laser is

P = 0.250mW = 2.5.10^-4W

So the intensity of the laser beam is

I = P/A = 2.5^-10 W/3.46-10^-6m^2 = 72.3W/m²

So, intensity of laser beam is 72.3W/m²

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Answer:

I don't know of velocity but

acceleration: 6m/s

Explanation:

here

initial velocity(u):0m/s

final velocity(v):36m

time taken(t): 6s

now

a:v-u/t

or a: 36-0/6

a:6m/s#

It necessary to level the rotating platform to maintain uniform circular motion.

The outcomes will be negatively impacted if the platform is not level since the heavy end will sway toward the side that is low.

To maintain a balance of the speed it is necessary to level the rotating platform.

When a particle follows a circular path while maintaining a constant speed, its motion is described as being uniformly circular.

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When cyclooctatetraene is treated with excess potassium metal dipotassium cyclooctatetraene dianion compound is formed.

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At a speed of 0. 93 ccc, a spaceship travels to a star that is 8. 5 ly distant part and according to a scientist on earth 2.3 years the trip takes.

Spacecraft

A spacecraft is a vehicle or machine designed to fly in outer space. A type of artificial satellite, spacecraft are used for a variety of purposes, including communications, Earth observation, meteorology, navigation, space colonization, planetary exploration, and transportation of humans and cargo.

Satellites, rovers, and space stations are collectively referred to as spacecraft. In science fiction, a big, manned spacecraft that is not a satellite is commonly referred to as a spaceship.

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If the magnitude of the sum of two vectors is greater than the magnitude of either vector, then scaler product will always be positive

A vector is a quantity or phenomenon that has two independent properties: magnitude and direction. The term also denotes the mathematical or geometrical representation of such a quantity.

The scalar product of two vectors is the sum of the product of the corresponding components of the vectors. In other words, the scalar product is equal to the product of the magnitudes of the two vectors and the cosine of the angle between them. It is a scalar quantity and is also called the dot product of vectors.

if | a + b | > |a| or |b|

a. b = |a| |b| cos (theta)

since , | a + b | > |a| or |b|

hence, angle between a and b must be less than 90°

since , |a| and |b| are positive

cos (theta ) will also be positive as angle is between 0° and 90°

hence , cos (theta ) will be positive

hence scaler product will always be positive

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Answer:

he can fall down

Explanation:

he could fall down because of the tomatoes and do notice he has fallen down because of them

9.87 seconds

The time required for this system to come to rest is equal to 9.87 seconds.

We have the following data:

Mass of gear A = 675 g to kg = 0.675 kg.

Radius of gear A = 40 mm to m = 0.04 m.

Mass of gear C = 3.6 kg.

Radius of gear C = 100 mm to m = 0.1 m.

How can I calculate the time needed?

We would need to figure out the moment of inertia for gears A and C in order to compute the time needed for this system to come to rest.

Mathematically, the following formula can be used to determine the moment of inertia for a gear:

I = mr²

Where:

m is the mass.

r is the radius.

We have, For gear A:

I = mr²

I = 0.675 × 0.04²

I = 0.675 × 0.0016

I = 1.08 × 10⁻³ kg·m².

We have, For gear C:

I = mr²

I = 3.6 × 0.1²

I = 3.6 × 0.01

I = 0.036 kg·m².

The initial angular velocity of gear C would therefore be converted as follows from rotations per minute (rpm) to radians per second (rad/s):

ωc₁ = 2000 × 2π/60

ωc₁ = 4000π/60

ωc₁ = 209.44 rad/s.

Also, the initial angular velocity of gears A and B is given by:

ωA₁ = ωB₁ = rc/rA × (ωc₁)

ωA₁ = ωB₁ = 0.15/0.06 × (209.44)

ωA₁ = ωB₁ = 2.5 × (209.44)

ωA₁ = ωB₁ = 523.60 rad/s.

Taking the moment about A, we have:

I_A·ωA₁ + rA∫F_{AC}dt - M(f)_A·t = 0

On Substituting the given parameters into the formula, we have;

(1.08 × 10⁻³)·(523.60) + 0.06∫F_{AC}dt - 0.15t = 0

0.15t - 0.06∫F_{AC}dt = 0.56549   ----->equation 1.

Similarly, the moment about B is given by:

0.15t - 0.06∫F_{BC}dt = 0.56549    ------>equation 2.

Note: Let x = ∫F_{BC}dt + ∫F_{AC}dt

Adding eqn. 1 & eqn. 2, we have:

0.3t - 0.06x = (0.56549) × 2

0.3t - 0.06x = 1.13098  ------>equation 3.

Taking the moment about A, we have:

Ic·ωc₁ - rC∫F_{AC}dt - rC∫F_{BC}dt - Mc(f)_A·t = 0

0.036(209.44) - 0.3t - 0.15(∫F_{BC}dt + ∫F_{AC}dt) = 0

0.3t + 0.15x = 7.5398    ------->equation 4.

Solving eqn. 3 and eqn. 4 simultaneously, we have:

x = 30.5 Ns.

Time, t = 9.87 seconds.

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True

The helium-neon lasers most commonly used in student physics laboratories have average power outputs of 0. 250 mw

Intensity of laser beam is 72.3W/m²

Given:

average power output = 0. 250 mw

To Find: intensity of laser beam

First of all, we need to find the area of the circular spot, which is given by:

A = πr^2

where r is the radius of the spot, which is half the diameter, therefore

r = d/2 = 2.10mm/2 = 1.05mm = 1.05 x 10^-3m

So, the area of the spot is

A = π(1.05 10^-3m)^2 = 3.46 10^-6m²

We know that the power output of the laser is

P = 0.250mW = 2.5.10^-4W

So the intensity of the laser beam is

I = P/A = 2.5^-10 W/3.46-10^-6m^2 = 72.3W/m²

So, intensity of laser beam is 72.3W/m²

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Answer:

C. 199.9 s

Explanation:

3 minutes = 3×60 = 180 seconds.

the turtle moves in that time 180×10 = 1800 cm.

in other words the rabbit gave it that much head-start (it does not matter if that was at the begin of in the middle of the race).

the rabbit moves with 10×10cm/s = 100cm/s.

the rabbit needs therefore 1800/100 = 18 seconds for the

1800 cm.

at that time the turtle has added another 18×10 = 180 cm.

for which the rabbit needs 180/100 = 1.8 seconds.

during that time the turtle has added 1.8×10 = 18 cm.

and so on.

in formal mathematics this looks like this :

1800 + 10x = 100x

after x seconds of the rabbit running both will have run the same distance, and it is a tie.

1800 = 90x

x = 20 seconds

so, at that point, the rabbit was actively running for 20 seconds and raced 20×100 = 2000 cm

and the turtle was actively running for 180 + 20 = 200 seconds, and also covered 200×10 = 2000 cm.

but our question tells us that the turtle won by 10 cm.

so, the race was over a little bit before these 200 seconds (for a tie).

this means, the rabbit could not run the last 10 cm for the tie (because the race was over and the turtle had won).

the rabbit would have needed 10/100 seconds for these 10 cm.

as speed = distance/time

we need to divide distance by speed

distance/1 / distance/time

to get time.

so,

10cm/1 / 100cm/s = 10s/100 = 1/10 s

so, we need to deduct this 1/10 s from the 200 seconds of the turtle (and also from the 20 seconds for the rabbit).

the race lasted of course the whole time the turtle was running (while the rabbit was resting, officially still participating in the race with speed 0 for 3 minutes).

and so, the race was 199.9 s long.

The direction of the net electric force that acts on an electric charge at every point of an equipotential surface created by other charges must be perpendicular to the surface.

A surface with an equipotential potential is one where all points on the surface have the same electric potential. This means that at every point on the equipotential surface, a charge will have the same potential energy.

The repulsive or attractive interaction between any two charged bodies is called as an electric force. Similar to any force, its impact and effects on the given body are described by Newton's laws of motion. The electric force is among the list of other forces that exert over objects.

On an equipotential surface , the potential difference between any two points is zero. So , the work done by the electric field on a test charge moving on the surface will be zero. Therefore , the electric field must be perpendicular to the surface at every point . Hence electric force must have the same direction , that is perpendicular to the surface.

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When fluids are pulled into capillaries, the receptor will detect the resulting pressure is Osmoreceptor

Osmoreceptor is any  group of cells sensitive to plasma osmolality that are held to exist in the brain and to regulate water balance in the body by controlling thirst and the release of vasopressin.

Osmoreceptors (Fig. 4-11) located in the hypothalamus (and also in the carotid artery) are capable of sensing the concentrations of solutes, particularly sodium ion. This leads to a secretion of vasopressin.

An osmoreceptor is a sensory receptor primarily found in the hypothalamus of most homeothermic organisms that detects changes in osmotic pressure. Osmoreceptors are sensory receptors that detect changes in osmotic pressure and contribute to maintaining fluid balance in the body. They are primarily found in the hypothalamus and kidneys.

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Answer:

141 J  

Explanation:

The lowest sig digits in a calculation determine the sig dig of the answer

The temps are listed with 3 significant digits and the spec heat is 3 sig digits  (the mass has 4 sig digs) .....so answer will need 3 digits

31.91 g   * .903 J/g-C  *  (26.1 - 21.2 C) = 141 J   (three sig dig)

The correct answer is GD Products collects receivables more quickly than AP Goods.

Analysts typically utilize the fixed asset turnover ratio (FAT) to gauge operating performance. This efficiency ratio assesses a company's capacity to generate net sales from its fixed-asset investments, specifically property, plant, and equipment (PP&E). It compares net sales (income statement) to fixed assets (balance sheet) (PP&E). Utilized as a net of accumulated depreciation is the fixed asset balance. A greater fixed asset turnover ratio shows that a business has utilized fixed asset investments to drive sales effectively. A greater ratio suggests that management is making better use of its fixed assets. No information can be gleaned from a high FAT ratio about a company's capacity to produce reliable earnings or cash flows.

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D. Water in the pot is heated by convection. Water molecules at the bottom of the pot warm up and rise while cooler water molecules sink to the bottom of the pot, creating convection currents.

Convection currents are flowing fluid that is moving because there is a temperature or density difference within the material.

Convection heat transfer takes place only in liquids and gases.

During heat transfer by convection, the heated air will rise to the top due o its lower density while the cooler air will sink to the bottom due to its higher density.

Thus, for the model of a pot of water being heated on a stove that shows thermal energy transfer, the heat transfer occurs when the water in the pot is heated by convection. Water molecules at the bottom of the pot warm up and rise while cooler water molecules sink to the bottom of the pot, creating convection currents.

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Heat is transferred to the water. The water molecules which are in the pot become more active, and the temperature of the water rises.

What is the Kinetic energy?

Kinetic energy is the energy of the objects which is present due to the motion of the object. Kinetic energy is proportional to the mass and velocity of the object. The SI unit of Kinetic energy is Joule (J).

The kinetic energy is possessed due to the motion of the particles. The kinetic energy is directly proportional to the temperature of objects. The kinetic energy of the particles increases with the rise in temperature of object or solution.

In the given situation, the pot of water is placed on the stove. Then, the heat is transferred to the water in pot. The water molecules will move faster with the rise in temperature of the water. The water molecules will have greater amount of kinetic energy due to increase in temperature.

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Answer:

glass is optically denser as it is a optical material having more index number above the list

Answer:

zicron

Explanation:

it has a large refractive index

A Final statement or concluding statement

Light rays meet at Focal Point after passing through a lens.

A focus is a place at which light or other forms of radiation converge.

A beam that enters a diverging lens parallel to its axis seems to originate at the focal  point F.

A beam passing through the focal point of a converging lens departs parallel to its axis.

Parallel light rays from the right enter a converging lens at its focal point on the left.

Light rays entering a converging lens parallel to its axis converge at the lens's focal  point F.

The focal length of a lens is the distance between its center and its focal point.

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Answer:

below

Explanation:

Ice melts, meaning it has a watery layer upon its surface. This allows things to be moving like they are on a liquid but it has the solidity of a solid. The thin metal of the ice skates also decrease the surface area meaning it exerts more force but in turn, it allows you to move faster and further reduces friction.

Answer:

C. tiny particles called charges flowing through the wires.

Explanation:

An electric current is a stream of charged particles, such as electrons or ions, moving through an electrical conductor or space. It is measured as the net rate of flow of electric charge through a surface or into a control volume.

Hope it helps!

Answer:

c

Explanation:

electric current is tiny particles called charges flowing through the wires
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A stationary observer observes a spaceship fly by. As the spaceship's velocity gets closer to the speed of light, the stationary observer would see the spaceship as being “blue-shifted” on the visible light spectrum.

This would also lead to the feeling of a faster time on the clock.

This refers to the speed in which light waves propagate through different materials.

Hence, we can see that based on the fact that the observer is stationary and is observing a spaceship that is in outer space get to the speed of light, the stationary observer would see the spaceship as being “blue-shifted” on the visible light spectrum.

This is because the observer would come to the conclusions that the

.

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When an individual enters a hypoxic breathing chamber, the changes that would occur would be an increase in the blood pH.

A hypoxic breathing chamber is a type of chamber that is built with the ability to cause an artificial high-altitude conditions.

There are various changes that would occur in the body when placed in a hypoxic state. These changes include the following:

Therefore, when an individual enters a hypoxic breathing chamber, the changes that would occur would be an increase in the blood pH.

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Answer:

The pressure exerted by a women wearing shoes with pointed heels is much greater than what an elephant with one foot can exert on ground. This because of lesser area of contact of pointed heels.

hope helpful ~

The potential energy of a 2-μc charge at that point in space is [tex]8*10^{-4}[/tex] joules.

Given,

V=400v, q=2-μc=2*[tex]10^{-6}[/tex],

U(potential energy)=V*q=400*2*[tex]10^{-6}[/tex]= [tex]8*10^{-4}[/tex] joules.

The energy that an item retains due to its position in relation to other objects, internal tensions, electric charge, or other reasons is known as potential energy in physics. The gravitational potential energy of an object is based on its mass and the distance from the centre of mass of another object. Other common types of potential energy include the elastic potential energy of an extended spring and the electric potential energy of an electric charge in an electric field. The joule, denoted by the sign J, is the SI's definition of an energy unit.

The vectors that are described as gradients of a particular scalar function known as potential can be used to represent these forces, also known as conservative forces, at any location in space.

At a certain point in space there is a potential of 400 v. what is the potential energy of a 2-μc charge at that point in space? group of answer choices'

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Answer:

F

Explanation:

When comparing two vector quantities you have to compare both magnitude and direction,but for scalar you only compare magnitude

❄ Hi there,

the answer is F, false.

∵

Vectors have both magnitude and direction, where:

magnitude = length of the arrow that represents the vector

direction = angle

∴ quantities that have only magnitude are not called vector quantities

❄

Considering light at the two ends of the visible light spectrum, violet light has a shortest wavelength and a highest photon energy than red light

In visible light spectrum wavelength of violet light is 380 nm to 450 nm whereas wavelength of red light is 620 nm to 750 nm.

The increasing order of visible light spectrum i.e. VIBGYOR is Violet > Indigo > Blue > Green > Yellow > Orange > Red .

When we discuss about the photon energy of Violet Light, it is 2.85 ev to 3.26 ev and the photon energy of Red Light is 1.65 ev to 2.00 ev

V- Violet- shortest wavelength with highest energy

R- Red- highest wavelength with minimum energy

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Both the turbines take same amount of time to rotate through 1. 0 radian of angular displacement.

Given,

[tex]R_{A}[/tex] = [tex]2R_{B}[/tex]

[tex]V_{A}[/tex] = [tex]2V_{B}[/tex]

As, angular velocity is, ω

So, ω[tex]_{A}[/tex] = [tex]V_{A}[/tex] / [tex]R_{A}[/tex]

     ω[tex]_{A}[/tex] = 2[tex]V_{B}[/tex] / 2[tex]R_{B}[/tex]

      ω[tex]_{A}[/tex] = [tex]V_{B}[/tex] / [tex]R_{B}[/tex]

also, ω[tex]_{B}[/tex] = [tex]V_{B}[/tex] / [tex]R_{B}[/tex]

And angular displacement is , θ

θ = ω / t

t = θ / ω

[tex]t_{A} = t_{B}[/tex] = [tex]R_{B}[/tex] / [tex]V_{B}[/tex]

Therefore, Both the turbines take same amount of time to rotate through 1. 0 radian of angular displacement.

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Answer:

Explanation:

The Sun reaches us by propagating through the vacuum of space. Sunlight reaches the Earth in about 8 minutes and 20 seconds. When this energy reaches the Earth's atmosphere, both conduction and convection play key roles to scatter it throughout the planet.

Answer: The heat from the sun reaches us through radiation and processes such as conduction and convection helps to scatter that heat on the surface of our planet.

Explanation:

The phenomenon behind the Sun's heat reaching us is radiation. It does this by propagating through the vacuum of space.

The amount of time it takes for the sunlight to reach us on Earth is approximately 8 minutes and 20 seconds. When it reaches our planet, conduction, the movement of heat or electricity through a medium or passage, as well as convection, the rising of hotter and less dense material and sinking of colder and more dense/denser material, helps to scatter the heat on Earth's surface.

1333.3 is the frequency in the hertz of a signal that repeats 80,000 times within one minute. 0.00075 is its period.

The frequency of a repeated event is its number of instances per unit of time. In some cases, it is also referred to as temporal frequency or ordinary frequency to underline differences with spatial and angular frequencies, respectively.

The length of time it takes for a particle in a medium to complete one full vibrational cycle is the period of a wave. Being a time, a period is measured in time units like seconds, hours, days, or years. The Earth's orbit around the Sun has a duration of around 365 days, and one cycle of the Earth lasts 365 days.

frequency = cycle /second

frequency = 80000 / 60

frequency = 1333.3 hertz

Period = 1 / frequency

Period = 1 / 1,333.3

Period = 0.00075

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