(a) Find an equation for the length L of a refracting telescope in terms of the focal length of the object Fo and the magnification m. (b) A knob adjusts the eyepiece forward and backward. Suppose the telescope is in focus with an eyepiece giving a magnification of 50.0. By what distance must the eyepiece be adjusted when the eyepiece is replaced, with a resulting magnification of 1.00x10^2? Must the eyepiece be adjusted backward or forward? Assume the objective lens has a focal length of 2.00m.

The maximum angle will be 67°.

Solution:

= 0.0088 = 0.0147(1 - cos∅)

= 0.59 = (1 - cos∅)

= cos∅ = 1 - 0.59

= ∅ = cos⁻¹(0.4) = 67°

When the angle of incidence on water reaches a certain critical value the refracted ray lies along the boundary and the refraction angle is 90 degrees. This angle of incidence is known as the critical angle. This is the maximum angle of incidence at which refraction can occur.

The velocity of the incident particle before impact is parallel to the velocity of the center of gravity. Therefore, the maximum deflection angle is equal to the maximum angle between the velocity of the center of mass and the velocity of the incident particle after the collision as shown below.

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Answer: 1.0 m/s2

Explanation:

This is a Newton's 3rd Law of Motion problem.  The force applied on the box by the skater must equal the force applied on the skater by the box (and in the opposite direction).  F = ma

Let x = acceleration of the skater

(15.0 kg)(4.0 m/s2) = (60.0 kg) (x)

x = 60 N / 60 kg = 1.0 m/s2

A cylinder 8.0 cm tall and 1000 kg/m3 in mass floats in clear water with its axis perpendicular to the surface. Its mass density is 0.8375. The cylinder is 1.3 cm long when it is above water.

The substance's mass per unit of volume is its density (also known as specific mass or volumetric mass density). The Latin letter D can also be used to represent density, however the most common symbol is (the lower case Greek letter rho). According to mathematics, density is determined by dividing mass by volume, where denotes the density, m denotes the mass, and V denotes the volume. An assertion of the perpendicular axis theorem The moment of inertia, for any axis that is perpendicular to the plane, is stated by the perpendicular axis theorem.

(8.0 - 1.3)/8.0 = 0.8375

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The complete question is -

a 8.0 cm -tall cylinder floats in pure water (density 1000 kg/m3) with its axis perpendicular to the surface. the length of the cylinder above water is 1.3 cm.  What is the cylinder's mass density?

The thrust force that is acting on the rocket engine is obtained as  5782 kN.

We know that the thrust is the force that is acting on an object that enables the object to be able to move higher. The thrust force can be applied to a rocket such that the rocket can be able to move higher and then pass through the air.

This implies that the thrust force is about the most important force when we want to be able to launch a rocket or when we are trying to move an aeronautical engine. In this case, we are asked to be able to obtain the thrust force as we can see from the parameters that have been given.

We now know that the thrust force can be obtained as; 118kg * 9.8 m/s^2 * 5000m/s = 5782 kN

There would be a thrust of  5782 kN working on the engine.

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The superposition principle's implication that distinct wave displacements alter every location at every instant in time is known as interference.

Water moves in a circular pattern as a result of energy traveling through it, creating waves. Water somehow doesn't, however, literally move in waves. In the ocean, waves carry energy rather than water, and if there is nothing in their path, they have the capacity to span a whole ocean basin.

A wave is an energetic disruption in a fluid that doesn't include any net particle motion. Elastic deformation, a change in pressure, a pulsed electromagnetic intensity, an electric potential, or a change in temperature are a few examples.

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By the time Ernie arrives at Burt, the log has travelled 0.3 metres in relation to the coast.

define mass ?

The density and kind of atoms in any specific thing are referred to as the object's mass in science. Although mass can also be measured in pounds, the kilogramme (kg) is the SI unit of mass (lb).

Think of a pillowcase stuffed with feathers and one packed with bricks to rapidly grasp the notion of mass. Which one is heavier? The bricks have a larger mass because their atoms are heavier and denser. Because of this, although though both pillowcases are the same size and level of fill, one has a significantly higher mass than the other.

In this case, the mass is denoted by (m), while the distance is denoted by (x).

The 3.9m-long log weighs 260kg and is long. Burt weighs 30 kg, whereas Ernie weighs 40.5 kg.

Ernie accepts Burt's offer of a cookie and moves to his side of the log to take it.

By the time Ernie gets to Burt, the log should have travelled x metres. Consequently, using the formula above,

30(x)+260(X)+40.5(x-3.9)

≈0.3

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Since S can be assumed to represent G itself, every finite group is finitely produced. Countable groups need not be finitely generated, but every infinite finitely generated group must be countable.

Any machine that transforms mechanical energy into electricity for transmission and distribution via power lines to residential, commercial, and industrial consumers is known as an electric generator, sometimes known as a dynamo. In addition, generators provide the additional electrical power needed for boats, trains, cars, and other types of transportation. A hydroelectric facility is one where turbine generators are propelled by falling water. Hydraulic motors that produce electricity power electrical generators.

In the event of a power outage, generators are practical equipment that supply electricity, keeping daily tasks or company operations operating smoothly. For usage in a number of applications, generators are available in a variety of electrical and physical designs.

It operates under the principles of Faraday's electromagnetic induction law. According to the faradays law, an electromagnetic field (EMF) is created anytime a conductor is subjected to a changing magnetic field.

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The equation use to solve these problem is the equation for total energy. Hence option 1 is correct.

Total energy is defined as the overall amount of energy used in a certain branch or variable. Because energy data is recorded directly rather than as the result of an activity level and an energy intensity, total energy can be distinguished from final energy intensity.

The object has a maximum amount of gravitational potential energy at the top of the roller coaster and zero kinetic energy. The gravitational potential energy of the object starts to decline as it starts to descend to the bottom, but the kinetic energy starts to rise.

Thus, the equation use to solve these problem is the equation for total energy. Hence option 1 is correct.

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Quantity B is greater is the correct option.

Let us consider the distance she drives per day is ' d '. For the 5 days, she drives 5d.

Given that, Shaundra averaged 20 miles per hour on monday and tuesday

Shaundra averaged 30 miles per hour on wednesday, thursday and friday

The time that she drives on monday and tuesday is nothing but the ratio of distance and speed i.e, d/20. The time that she drives on wednesday, thursday and friday is d/30.

The total time that can be calculated from the above information is:

⇒ 2 * d/20 + 3 * d/30 = d/5

The formula for average velocity can be written as total distance upon total time.

Average velocity = Total distance/ total time

Total distance is calculated as ' 5d '

Total time is calculated as ' d/5 '

So, average velocity = 5d / d/5 = 25

Thus, the average velocity is calculated to be 25 miles per hour.

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Advancing into the sea more breeding season is in the summer acquiring long toe nails to better grip ice nurturing their young for a longer period of time.

Antarctica is encircled by the Southern Ocean, which is typically characterized as starting at the edge of the continent (and its ice shelves) and continuing to the location of the 'polar front,' which separates it from the neighboring Pacific, Indian, and South Atlantic Oceans. The Ross Sea is the most southerly sea on Earth and is located in Antarctica in the Ross Embayment, between Victoria Land and Marie Byrd Land. Surface temperatures are often below freezing, although the Antarctic Bottom Water of the Weddell Sea typically ranges from -0,8 to 0 degrees Celsius (31.8 to 32 degrees Fahrenheit).

Where the Atlantic, Pacific, and Southern seas meet, at the Drake Passage, between Cape Horn in South America and the South Shetland Islands in Antarctica, are some of the world's choppiest waters since the currents here are unimpeded by any neighboring mainland.

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True. Early snowfall that arrives before the cold winter has frozen the soil generally increases the penetration of water into the soil in the spring.

Early snowfall increases the amount of moisture in the soil, which helps to thaw the soil in the spring and allows for greater water penetration. The extra moisture also helps to insulate the soil from the cold winter temperatures, allowing the soil to remain in an unfrozen state and promoting better root growth and development.

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Answer:

The answer is B

Explanation:

The train will appear to be moving slowly because what ayesha will be experiencing the relative velocity of the other train with her train. To find the relative velocity, if the train is moving in same direction

   V(ba)= V(b)- V(a)

  V(ba)= velocity of train B with respect to A

   V(a) = velocity of Ayesha's train

    V(b)= velocity of the other train

So relative velocity will be less than absolute velocity.

The magnetic field associated with the coil will change as it is moved near a stationary magnet, which will generate current in the coil. Galvanometer in Region C exhibits deflection in one direction as a result of this.

Electrical charge carriers, often electrons or atoms deficient in electrons, travel as current. The capital letter I is a typical way to represent current. The ampere, denoted by the letter A, is the common unit. A stream of charged particles, such as electrons or ions, travelling through an electrical conductor or a vacuum is known as an electric current. The net rate of electric charge flowing through a surface or into a control volume is how it is calculated.

Charge is movable and can freely flow in certain substances, known as conductors. Conductors include metals and a select few additional elements and compounds. Copper, aluminium, and most other metals are examples.

The majority of its uses are low voltage ones, such aeroplane applications and battery charging. Appliances for both domestic and industrial and commercial use run on alternating current. Amperes are used to measure electric current

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Consider a graphical representation (figure) of simple harmonic motion as described mathematically in equation x(t) A cos  (wt+Φ). When the particle is at point, P, on the graph, then:

velocity will be negative.

acceleration 'a' is also negative.

Anything that causes a change in velocity is referred to as an acceleration. You can only accelerate by changing your speed, direction, or both as velocity is a function of both speed and direction.

Equation of the graph is given by:

x(t) = A cos (wt+Φ)

differentiating with respect to t, we get-

dx/dt = - A sin (wt+Φ) w

or, v = - Aw sin (wt+Φ)

differentiating again with respect to t, we get-

d²x/dt² = -A w² cos (wt+Φ) = a (acceleration)

or, a = -A w² cos (wt+Φ)

Now, at position P,

A (amplitude) is positive.

(distance) x is positive.

velocity will be negative as A is positive, acceleration 'a' is also negative.

correct options are: a, f.

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The complete question is as follows:

In this particular que, where four vibrating objects are available, the object that produces the loudest sound is X4.

What are examples of Sound Produced by Vibrations?

In order to understand how sound is produced by vibrations in physics, we must take an example. One of the best examples of sound produced by the vibration of objects is the guitar. In the guitar, we can observe some parallel strings. Here the air is the medium, which helps to produce sound when we create vibration among the strings.

The tuning fork is another widely used illustration that demonstrates how sound may be created by vibrating items. The handle of the tuning fork displays the two melodies. When the tuning fork is struck with the rubber hammer, the air molecules around it are disturbed, which causes vibrations between the two tines and compression or expansion of those molecules. If we repeatedly strike the rubber hammer, they continue to experience either compression or expansion, which causes the production of many waves. Sound travels over space as a result of these waves. This is how vibrating objects make sound whenever a force is applied to the medium or the object.

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Yes the acceptable move  that proves the two equation are equivalent.

Equivalent equation are algebraic equations that have identical solutions or roots. Adding or substracting the same number or expression to both side of an equation produce an equivalent equation.

Combine any like terms on each side of to the equation: x-terms with x-terms and constants with of the constants. Arrange the terms in the same by order, usually x-term before the constants. As if all of the terms in to  the two expressions are the  identical, then the two expressions is equivalent.

By observing both equations

In equation A : -3(x+9)=18

Divide the equation A by -3

=> (x+9)=-6

And this result equals to equation B

Hence both equations are equivalent

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Answer: No. Wifi, Cellphone or Microwave radiations does not affect human health.

Explanation:

There is no scientific studies that prove that non iodizing radiation have an adverse effect on human health. Any forms of cellular or satellite communications use non iodizing radiations. So even we use them for extended period of time they seems to be quite safe. As for microwave as well as radio waves and visible light , they all are non iodizing radiation. The one that may cause any ill effect on human body will be the UV radiations which is not in any of these. So all these are quite safe to use and amazing technology to make human lives better.

The correct matches for the given words are:

1. grand unified theory - predicts the strong, weak, and electromagnetic forces

2.electroweak force

3. Inflation

4. Olbers' paradox

5. cosmic microwave background

6. annihilation

Physical interactions between electrically charged particles are known as the electromagnetic force. It is the result of the interaction of all magnetic and electrical forces and operates between charged particles.

Both visible light and radiation in other wavebands that the human eye cannot see are produced by the electromagnetic field.

A faint glow of light known as the Cosmic Microwave Background radiation, or CMB for short, permeates the entire cosmos and falls on Earth with a remarkably consistent intensity from all directions.

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Polarization of light can be achieved using a dichroic material like Polaroid by Selective absorption.

What is polarization?

Polarization is a characteristic of some electromagnetic radiations in which there is a specific relationship between the direction and strength of the vibrating electric field.

Because each wave's associated vibrating electric vector is perpendicular to the direction of transmission, light waves are transverse. Unpolarized light is made up of waves that are all traveling in the same direction while having their electric vectors oriented in a random manner around the propagation axis. All of the waves in plane polarized light have the same direction of vibration. The electric vector rotates in circular polarization with respect to the wave's direction of propagation. By reflecting light or passing it via crystals or other filters that only allow vibrations in one plane to flow through, light can be polarized.

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The need for an effective solar power system and restrictions on using solar power for mobile devices are requirements.

Any energy produced by the sun is referred to as solar energy. Solar energy is produced by the nuclear fusion that occurs in the sun. Helium atoms are produced during fusion inside the sun's core when protons from colliding hydrogen atoms fuse. Solar architecture, solar thermal energy, and solar power to generate electricity are only a few examples of the technologies that can harness the Sun's radiant light and heat.

When you generate power with solar panels, no emissions of greenhouse gases are put into the atmosphere. Solar energy is a key source of energy in the transition to the creation of clean energy since the sun produces more energy than humans could ever require.

Solar energy seems to be a cheap, abundant, and renewable source of power. It may be used to make energy, heat water, and cook meals. Solar cells can also be used to store the electrical energy produced by solar energy.

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4014 joules of energy are lost as a result of heat, light, sound, and material deformation.

What is the energy conservation law?

The ball's kinetic energy is 1/2 x 0.0109 x 8632 = 4058 joule.

the block's kinetic energy following the inelastic collision

= 1/2(1 + 0.0109)(0.0109×863/1.0109)² joule.

= 43.77 joule.

Thus, energy loss due to heat, light, sound, and material distortions is equal to 4058 joule minus 43.77 joule, or 4014 joule.

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A satellite in orbit that moves quickly close to the earth and slowly farther away is not in uniform circular motion .

Now based on the choices provided such as ,

Therefore, merry-go-round will also be moving uniformly in a circle because of its continuous rotations per minute.

The complete question is here,

Which of the following is not in uniform circular motion? CD in a CD player spinning at 45 rpm orbiting satellite that speeds up near the earth and slows down far away jet fighter making a high-speed loop at 600 m/s merry-go-round that is 10.0 m in diameter and rotating at 2 rpm

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3200kg-m²s⁻² the kinetic energy of the dog which is 16Kg mass and moving with 20m/s velocity.

Kinetic Energy the energy possessed by the body due to the motion of the object. Si unit of kinetic energy is Joule or kg-m²s⁻². And it is denoted by K.E

Formula of Kinetic Energy is (KE) = 1/2mv²where as m= Mass and                 v= Velocity

m= 16kg mass of the dog

v =20m/s velocity of the dog, substitute these values in formula

K.E =1/2(16)(20)² = 3200 Kg-m²/s².

Hence the kinetic energy of the dog which is having mass of 16kg and running at a velocity of 20m/s is 3200J.

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16kg dog is moving with a velocity of 20m/s.

We know that the kinetic energy of a body is the energy possess by it due to its motion

So,

K=1/2mv^2

where,

K is kinetic energy

M is mass

V is velocity.

By substituting the values,

K= 1/2 * 16 * 20 *20

K = 6400/2

K = 3200J

So the kinetic energy of dog is 3200J.

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inside a moving elevator, in free fall

Do you weigh the same inside an elevator?

We shall weight ourselves when the elevator is travelling at our normal weight. Because we are currently moving up or down the elevator at the same speed, nothing is changing our weight. However, once the elevator begins to move or stops, our bodies resist it.

What is the apparent weight when the elevator is running?

If the elevator accelerates downward, an is negative and the apparent weight is less than the real weight. There is no weight discernible if the elevator descends naturally. The apparent weight is zero because when a human and a scale are falling freely, they cannot clash.

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Recall is a method used for measuring retention which involves the verbal reproduction or repetition of learnt material.

Recall is a technique for gauging retention that entails repeating verbatim what has been learned. Basically, it comes in two varieties: serial recall and free recall. In serial recall, previously learned material is frequently repeated in the order in which it was first learned or after a predetermined order. Many of us can only remember certain information in a specific order. For instance, we can't immediately find a name in the phone book or a word in the dictionary that starts with "Res-."

As we turn the pages, we mentally recite the alphabet from A to R, making sure that R comes after the letters O, P, and Q and before the letters S, T, and so on. Similar to this, there are those

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The magnitude of the vector [tex]\vec C[/tex]  is 8.6.

A - B  is used to indicate the vector subtraction of two vectors a and b, and it simply involves adding the vector's negative for vector b.

given :

A = 5.7

angle from x axis = 90 -38 = 52

[tex]\vec A =[/tex] ( 5.7 cos 52,  5.7 sin 52)

B = 4.3

[tex]- \vec B[/tex] angle from x axis = 90 +24 = 114

[tex]- \vec B[/tex] = (4.3 cos 114 , 4.3 sin 114)

[tex]\vec A - \vec B = \vec A + ( - \vec B)[/tex]

= ( 5.7 cos 52,  5.7 sin 52) +  (4.3 cos 114 , 4.3 sin 114)

=( 5.7 cos 52 +4.3 cos 114 , 5.7 sin 52+ 4.3 sin 114)

= (3.51 - 1.75, 4.49+3.93)

[tex]\vec C[/tex] = (1.76, 8.42)

magnitude of [tex]\vec C[/tex]  = [tex]\sqrt{1.76^2+ 8.42^2}[/tex]

=[tex]\sqrt{3.10+70.9}[/tex] =[tex]\sqrt{74}[/tex] = 8.6

The magnitude of the vector  [tex]\vec C[/tex] is 8.6.

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One method of evolution is natural selection. More environment-adapted organisms are more likely to survive and pass on the genes that contributed to their success. Over time, species change and diverge as a result of this process.

As a result of natural selection, reproductive individuals pass on genetic changes that are advantageous to their progeny's survival. New creatures are created as a result, and they have a higher chance of surviving and reproducing.

For instance, giraffes have an advantage over other species because of their long necks, which have evolution to allow them to eat leaves that other species cannot. Longer-necked individuals were able to breed and pass on their trait to the next generation because they had access to superior food sources. Shorter-necked individuals would be less likely to survive and pass on their genes as a result of having fewer food availability.

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Pressure on the bottom when water is added to fill the pipe to its top is 180kPA.

In the first scenario, the atmospheric pressure is:

In the second scenario, h = 8m + 1 m. Therefore, the pressure at the bottom of the barrel is:

What is hydrostatic pressure meaning?

Hydrostatic pressure refers to the pressure that any fluid in a confined space exerts. If the fluid is in a container, there will be some pressure on the wall of that container.

What is hydrostatic pressure used for?

Hydrostatic pressure is one reason (along with the lack of oxygen) why it's not safe for humans to travel unprotected in space. You rely on hydrostatic pressure to keep your lungs at the right inflation and to keep the water in your body from vaporizing.

How is hydrostatic pressure calculated?

The pressure in a liquid at a given depth is called hydrostatic pressure. This can be calculated using the hydrostatic equation:

P = rho * g * d, where P is the pressure, rho is the density of the liquid, g is gravity (9.8 m/s^2) and d is the depth (or height) of the liquid.

Thus, the pressure on the bottom when water is added to fill the pipe to its top is 180kPa.

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