design an analog computer to simulate d2 ____vo dt2 2___ dvo dt vo = 10 sin 2t

Considering a 0.95 MeV y-ray photon and Randomized Variables E = 0.95 MeV so the  frequency of light will be 2.294×10²⁰ Hz.

Given,

The energy of photon

E = 0.95 MeV = 0.95× 1.6×10⁻¹³ J or 1.52 × 10⁻¹³ J  

Using E = hυ  

We have:  

υ = E/h = 1.52×10⁻¹³/(6.626×10⁻³⁴)  

= 2.294×10²⁰ Hz  

Thus the frequency of light will be 2.294×10²⁰ Hz.

Associated to each wave vector ~k and polarization state σ there is an electromagnetic normal mode of oscillation with frequency ω(k) = kc and complex amplitude aσ( ~k). In the absence of sources, the behavior of the electromagnetic field is completely described by these normal modes. We will assume the normal modes are defined using periodic boundary conditions.

For each ~k and σ there is a Hilbert space of square integrable functions and a Hamiltonian( ~k). For each ~k and σ there is a basis of energy eigenvectors; the corresponding ladder operators act on this basis by adding and subtracting quanta of energy ω(k).

We can use this basis to induce a basis for the tensor product over all the oscillator Hilbert spaces, which is the state space for the composite system of normal modes, i.e., the electromagnetic field.

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Answer:

If there were no transformation of energy in the world, everything would come to a standstill.

Explanation:

Energy is required for all processes and interactions to occur, including movement and chemical reactions. Without energy, matter would not be able to move or change in any way. This would mean that living organisms would not be able to survive, as they rely on energy to carry out metabolic processes and maintain their body's functions.

The sun would not shine, the wind would not blow and the water would not flow, as they are all driven by energy transformations. The weather would not change, and there would be no seasons. The temperature would not vary and the weather patterns would not change.

Machines and technology would not work, as they also rely on energy to operate. There would be no electricity, transportation, or communication. The economy would come to a standstill as all the industry, trade, and commerce would stop.

In short, without energy transformation, the world would be a static, lifeless place, and life as we know it would not be possible.

The cost of using 50 W for one day or 24 hours is  dollar 0.12. The cost of using 800 W for 1 hour is 0.08 dollar.

Power is the rate of work done energy of  an object. Given that the cost of using 1 KWhr energy is dollar 0.10.

Then cost of using 50 W  or 0.05 KW in 24 hours is

0.05 × 24 ×  0.10  = 0.12 dollar

Cost of using 800 W or 0.08 KW per hour is 0.08 KWhr × 0.10 = dollar 0.08

Similarly, the cost of using 150 W in one month is find as follows:

150 W = 0.15 KW

energy used  = 0.15 × 30 × 24 hrs

cost = 0.15 × 30 × 24 hrs × 0.10 = dollar 10.8

The energy causing a cost of 2.5 dollar is 2.5/0.10 = 25 KWhr

power = 25 KWHr/24 hrs = 1.04 KW.

The energy causing a cost of 4 dollars is 4/0.10 = 40 KWhr

power =40 KWHr/24 hrs = 1.6 KW.

The energy causing the cost of 3 dollars  = 3/0.10 = 30 KWhr

then time = 30/100 W = 0.3 hr.

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Answer:A 1000 kg car and a 2000 kg truck have the same momentum when the car is travelling at twice the speed of the truck, i.e. 38 m/s.

When a 1000kg car and a 2000kg truck have the same momentum, the speed of 1000 kg car is twice that of the  2000kg truck.

The product of a particle's mass and velocity is its momentum. Being a vector quantity, momentum possesses both magnitude and direction. According to Isaac Newton's second equation of motion, the force applied on a particle is equal to the time rate of change of momentum.

As  a 1000kg car and a 2000kg truck have the same momentum,

1000 kg × v₁ = 2000 kg × v₂

v₁ = 2v₂

Hence, the speed of 1000 kg car is twice that of the  2000kg truck.

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According to the question, the velocity of ball 2 after the collision is 30 m/s.

What is velocity?
Velocity is a vector quantity that describes the rate and direction of an object's motion. It is the displacement of an object over a period of time and is usually expressed in terms of distance (meters, feet, or kilometers) divided by time (seconds). It can also be expressed as the speed of an object in a particular direction. Velocity is a key factor in describing the motion of objects, as it accounts for both the speed and direction of an object's motion. It is an important concept in physics, and it is used to calculate forces and potential energy.

From the laws of conservation of momentum, the final velocity of ball 2 can be calculated as follows:

m1u + m2v = m1v1 + m2v2

0.2 x u + 0.2 x v = 0.2 x u + 0.2 x v2

v2 = u - (6N x 0.1s)/0.2kg

v2 = u - 30 m/s

Therefore, the velocity of ball 2 after the collision is 30 m/s.

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Answer: A vibrating object is the common source of wave.

Explanation:

The cause of all wave motion is a vibrating object. The motion of waves is caused by the vibrations of the substance they are made of, and these vibrations lead them to move in an oscillatory fashion.

For instance, when the air surrounding us vibrates, sound waves are created. On the other hand, charged particles that are oscillating, like they are in the antenna, produce electromagnetic waves.

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Mutations may alter the structure of a protein, may be neutral, may be dangerous, or may be advantageous.

A mutation is a change to an organism's DNA sequence. Viral infection, mistakes in DNA replication during cell division, and exposure to mutagens can all lead to mutations. Gametes experience germline mutations. Other bodily cells are susceptible to somatic mutations. Chromosome alterations are mutations that change the structure of a chromosome. A single nucleotide is altered by point mutations. Depending on the situation or place, the impacts of mutation could be beneficial, negative, or neutral. The majority of non-neutral mutations are harmful. The impact and likelihood that a mutation will occur increase with each extra base pair that it modifies.

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25w = 100J/4s is the equation which rightly deciphers the relation of power, work and time.

Power is the rate at which work is performed or energy is delivered in accordance with  science and engineering. It can be represented as W/t, which refers to the product of the quantity of work finished (W) or energy converted (E) divided by the amount of time (t).

power (w) equals work (J)/time (s)

The energy that is generated when a force is imposed on a moving object is described as work. The work that a force would do on an item is directly proportional to the force multiplied by the displacement multiplied by the cosine of the angle between them. The SI unit of work and energy is denoted by the letter J.

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Show that 25 W of power is required to give a brick 100 J of PE in a time of 4 s .

The kinetic energy as it hits the ground with mass of 2kg and velocity 15m/s is found to be 225J

The energy a body has as a consequence of motion is known as kinetic energy. A force has to be applied to an object in order to propel it. We must put in effort in order to apply a force. After the work has been finished, energy is transferred to the item, which then travels at a new, constant speed.

At the bottom when ball hit ground with velocity = 15m/s

KE = 1/2 m v^2 => 1/2 x 2 x 15^2 => 225J

Potential energy is the energy that is kept in reserve in a system or object as a result of its orientation or configuration. An object's kinetic energy is measured in relation to stationary and moving items in its immediate surroundings. Potential energy is irrespective of an object's surroundings.

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The potential energy associated with the conservative force is +40 j. As the particle moves from a to b, the force does +25 j of work on the particle, all of which results in an increase in the kinetic energy only. Hence, the value of the potential energy at point b is -25J.

Given:

Mass of the particle= 0. 40 kg

Speed=10m/s

Initial workdone =+25J

Initial Potential enrgy=+40J

Now to find the value of the potential energy at point b use the following statement i.e.

∴ The change in potential energy of the given system is the -ve of the internal work done by the conservative force on the particle.

Hence,

ΔU=−W int

ΔU=-(+25J)

ΔU=-25J

Hence, -25Jis the value of the potential energy at point b.

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Better identification of novel species is made possible by categorization.

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The speed of the ball that the ball player throw is 16.66 m/s.

The ball player throws a ball vertically upward and then catches the ball. It means, the ball doing vertical motion travel upward to the highest point and then goes down until the ball player catches it. The trajectory of the ball as it goes up is symmetrical to the trajectory of the ball as it goes down.

travel time = travel time upward + travel time downward

t = t₁ + t₂

3.40 = t₁ + t₁

3.40 = 2t₁

t₁ = 3.40 ÷ 2

t₁ = 1.70 s

When the ball travels upward, non-uniform motion applies

v₂ = v₁ + at

v₂ = v₁ + at₁

0 = v₁ + (- 9.8 × 1.70)

0 = v₁ - 16.66

v₁ = 16.66 m/s

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Answer:

The first one is tangent, second is tangential.

Average speed = total distance covered/ total time taken

here on the graph y-axis is represented as distance and x-axis is showing time

So for the average speed of Train (line A)

total distance covered (d) = 1500 m

total time taken to reach that distance (t) = 150 s

so by a simple formula

For the average speed of  Car (line B)

Total distance covered (d) = 1500 m

total time taken to reach that distance (t) = 120 s

so by

For Maximum speed of roller- coaster (LineC)

So in the time between 70-80 seconds, it has the highest slop which shows the speed maximum at that time

In that 10 seconds, it covered 200 meters which shows its maximum speed which is

For the average speed of a Roller- coaster (line C)

Total distance covered (d) = 1300 m

total time taken to reach that distance (t) = 150 s

For the Train to Stoped at a station we can see from 40 seconds to 90 Seconds train has covered almost 0 distance which clearly shows that it was stopped which is 90-40= 50 seconds.

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Wave B will be louder than wave A.

Let the amplitude of wave A be a1 and the amplitude of wave B be a2.

Similarly, let the loudness of wave A be L1 and the loudness of wave B be L2.

We know,

[tex]\frac{L1}{L2}[/tex] = [tex]\frac{a1^{2} }{a2^{2} }[/tex]

By substitution we see:

[tex]\frac{L1}{L2}[/tex] = [tex]\frac{3^{2} }{4^{2} }[/tex]

We get:

[tex]\frac{L1}{L2}[/tex] = [tex]\frac{9}{16}[/tex] .

Thus we see that the loudness of wave A is 9Hz while that of wave B is 16Hz. So we conclude that wave B is louder than wave A.

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Answer:

1. Net force= 6 N to left

2. Unbalanced

3. Both people must apply same magnitude of forces in opposite direction which causes net force to be 0.

Explanation:

Since both forces have opposite direction then we have to subtract the magnitude and consider the direction of vector that has greatest magnitude. In this case, the left side (13N) has more magnitude than the right side (7N). Hence:

[tex] \displaystyle{ \sum \vec F = 13 \: \text{N}- 7\: \text{N}= 6 \: \text{N to left}}[/tex]

The vector arrow of net force will point to left side with magnitude of 6 N.

Since the net force is not zero. This means that the force is not balanced as an object still changes its motion from resting to moving. A balanced force would mean the net force is zero and an object will always remain as same condition. This can be referred to first Newton's law of motion.

We can make the force balanced by having both people acting same magnitude of force in opposite direction. The equation must result in:

[tex] \displaystyle{ \left | \vec F \right | = \left| - \vec F \right| }[/tex]

Magnitude of forces must equal for both sides and also have to act in opposite direction which causes net force to be zero:

[tex] \displaystyle{ \sum \vec F = 0}[/tex]

Answer:

it is refracted

Explanation:

Answer:

Explanation:

Scalar is the measurement of a unit strictly in magnitude. Vector is a measurement that refers to both the magnitude of the unit and the direction of the movement the unit has taken. In other words, scalar quantity has magnitude, such as size or length, but no particular direction. When it does have a particular direction, it's a vector quantity.

After a period, they start to collide with other galaxies, which causes them to become irregular galaxies. They eventually transform into ancient elliptical galaxies after exhausting all of their dust and gas to form new stars.

It is possible to think of irregular galaxies as star formation research labs. In contrast to the more well-known spiral galaxies, this kind of galaxy produces stars from an interstellar medium that has undergone less chemical evolution.

Typically, irregular galaxies are tiny, with a mass of only a tenth that of the Milky Way galaxy. They are vulnerable to environmental influences like colliding with massive galaxies and cosmic clouds because of their modest sizes.

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P = m g v is the essential formula for power. Power therefore follows velocity (v).

The amount of effort finished in a specific length of time is a definition of power. The SI power measurement is the wattage (W), that is derived from watts per square meter per second (J/s). Horsepower (hp) is a measuring unit sometimes used to express the power of automobiles and other equipment. It is roughly comparable to 745.7 watts.

The link among work and time is what is known as power.

P = W / t

In the case of a drop descending, the applied load and the displacement have the same direction, hence the angle in between them is negative and the cosine of zero is only one (cos 0 = 1). The work is defined as the product rule of the force and also the displacement.

W = F y

The relationship between the gravitational force and the drop's mass is F = mg.

W = mg y

we substitute

P = m g y / t

terminal velocity of the drop is constant

P = m g v

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According to the problem The barbell's mass is 178 kg.

What is barbell's mass ?

The mass of a barbell can vary depending on the size and type of barbell. Standard barbells typically range from 10 kilograms (22 pounds) to 45 kilograms (99 pounds). Olympic barbells are typically 25 millimeters (1 inch) in diameter and are available in weights ranging from 15 kilograms (33 pounds) to 25 kilograms (55 pounds). Barbells with a smaller diameter, such as a women's barbell, usually weigh between 5 kilograms (11 pounds) and 15 kilograms (33 pounds). Powerlifting barbells are thicker and longer than standard barbells and usually weigh between 20 kilograms (44 pounds) and 25 kilograms (55 pounds).

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Answer:

F = 600 N

Explanation:

m = 200 kg

u = 0 m/s 3

v = 30 m/s

t = 10 s

a = v-u /t

  = 30 - 0 / 10

  = 30 / 10

  = 3 m/s²

F = m a

  =  200 × 3

  =  600 N

On the moon you weigh 6 times lighter so for this problem you multiply 140n by 6.

Your weight on the Moon is 16.5% what you would experience on Earth. In other words, if you weighed 100 kg on Earth, you would weigh a mere 16.5 kg on the Moon. For you imperial folks, imagine you tipped the scales at 200 pounds.

It’s because of the lower gravity on the Moon. Objects on the surface of the Moon experience only 16.5% of the gravity they would experience on Earth.

The mass of the Moon is only 1.2% the mass of the Earth, so you might expect it to have only 1.2% of the gravity. But it’s only 27% of the size of the Earth, so when you’re standing on the surface of the Moon, you’re much closer to its center of gravity.

Therefore, On the moon you weigh 6 times lighter so for this problem you multiply 140n by 6.

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General physical appearance best describes the mineral habit.

External physical appearance, which a mineral tends to have is known as its habit. It may be long slender ones, blocky crystals, or aggregates of some type, etc.

Blocky crystal is a box-like or ball-like appearance.  Tabular crystal is just like a deck of playing cards(thick). Prismatic shape is like end faces are parallel to each other. They may be long, and short based on the ratio of length to lateral width ratio.

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Answer:

Explanation

one is a galaxy and one is a Star.

Velocity is a physical vector quantity that is defined by magnitude and direction. A coherent derived unit called speed is used to indicate the magnitude or absolute value (scalar) of velocity. In the SI, its value is represented in meters per second (m/s or m/s1) (metric system).

When an object is traveling, its velocity is the direction it is travelling in to indicate how quickly the object's location is changing as seen from a particular point of view and as measured by a certain unit of time, such as 60 km/h in a northerly direction. The idea of velocity serves as a key building component in kinematics, the branch of classical mechanics that analyzes how bodies move.

The velocity of a wave can be calculated using the wavelength (λ) and frequency (f) of the wave using the formula:

Velocity = wavelength x frequency

For the tsunami wave:

Velocity = 160,000 m x .0014 Hz = 224 m/s

For the wind-driven wave:

Velocity = 150 m x 0.083 Hz = 12.45 m/s

So the velocity of the tsunami wave is 224 m/s and the velocity of the wind-driven wave is 12.45 m/s.

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The books' final speed is 4 m/s, their rate of acceleration is 0.8 m/s2, and their net force is 3.2 m/s2.

The vectorial expression of velocity is the movement in space-time of an object or particle. The recognised unit of velocity magnitude is the metre per second (m/s) (also known as speed). The rate of speed can also be expressed in centimetres per second (cm/s). The pace at which an object's location changes as seen from a certain angle and as stated by a specific time unit (for example, 60 km/h northbound) is measured by its velocity, which is the direction in which it is travelling.

As a physical vector quantity, velocity must have a specified magnitude and direction. Speed is a coherent derived unit whose quantity is measured in metres per second (m/s or ms1) in the SI. Speed is the scalar absolute value (magnitude) of velocity (metric system). A vector is "5 metres per second east."

= ∆/∆

v=20/5 v=4

Therefore the final velocity of the book is 4m/s.

Acceleration= v/t

=4/5

=0.8m/s2

Thus acceleration of book is 0.8m/s2

F=0.8*4

F=3.2m/s2

Net force is 3.2m/s2

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A higher pitch siren is audible to this person. The sound waves become less frequent as they get more spaced apart as the police car moves off.

The distance between identical points (adjacent crests) in adjacent cycles determines how far a waveform signal has traveled in space or over a wire. In wireless systems, this length is frequently specified in meters (m), centimeters (cm), or millimeters (mm) (mm).

The wavelength, which is also the distance between two wave crests and troughs, is the measurement of wave length. In cycles per second (Hz), the term "frequency" refers to the number of vibrations that cross a specific area in a second (Hertz).

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A sculptor uses a constant volume of modeling clay to form a cylinder with a large height and a relatively small radius. The clay is molded in such a way that the height of the clay increases as the radius decreases, but it retains its cylindrical shape. At time t=c, the height of the clay is 8 inches, the radius of the clay is 3 inches, and the radius of the clay is decreasing at a rate of 12 inch per minute. The expression for the rate of change of the radius of the clay with respect to the height of the clay in terms of height h and radius r is dr/dh =- r/2h

The following formula determines a cylinder's volume:

V = πr²h,

where V is the volume, r is the cylinder's radius, and h is the cylinder's height.

In terms of height h and radius r, we must express the rate at which the clay's radius changes in relation to its height.

That means that height h and radius r are used to express dr / dh. To accomplish this, we must first compare the volume to the height, or find dV / dh:

V = πr²h

dv/dh = d/dh ( πr²h)

dv/dh =πr²+2 πrh dr/dh

The volume constance dV/dh = 0

dv/dh =πr²+2 πrh dr/dh

0=πr²+2 πrh dr/dh

-πr² =2 πrh dr/dh

dr/dh = - -πr² / 2 πrh

dr/dh =- r/2h

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