Every year, new records in track and field events are recorded. Let's take a historic look back at some exciting races. On August 20, 1989, in Cologne, West Germany, Said Aouita of Morocco also established a world record when he ran the 3000. m run in 7 minutes, 29.45 seconds. What was his average speed (in m/s) for the race

Answer:

To solve this problem, you can use the following formula:

v = sqrt(k / m) * A

In this formula, v is the velocity of the mass, k is the spring constant, m is the mass of the object, and A is the amplitude of the oscillation.

Since you know the velocity of the mass at 0.25 seconds, you can substitute this value into the formula and solve for A:

2.3 m/s = sqrt(200 N/m / 3.00 kg) * A

A = 2.3 m/s / sqrt(200 N/m / 3.00 kg)

= 0.23 m

So, the amplitude of the oscillation is approximately 0.23 meters.

To find the maximum velocity of the mass, you can substitute the values for k, m, and A into the formula for velocity:

v = sqrt(200 N/m / 3.00 kg) * 0.23 m

= 2.75 m/s

So, the maximum velocity of the mass is approximately 2.75 m/s.

Answer:

 In places of hot climate, it is advised that the outer walls of house be painted white because white color does not absorb any heat radiation from the sun which keep inside cool even if there is hot climate outside the house.

Deoxyribonucleic acid is a polymer composed of two polynucleotide chains that coil around each other to form a double helix.

A nonsense mutation occurs in the DNA when a sequence changes itself and gives rise to a stop codon rather than a codon specifying an amino acid. The presence of the new stop codon results in the production of a shortened protein that is non-functional.

A nonsense mutation is also known as base substitution which results in a stop codon in such a position from where there was not one before, which causes the premature termination of protein synthesis and, more than likely, a complete loss of function in the finished protein.

So we can conclude that a nonsense mutation always causes a loss of amino acids.

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False: Adjusting the test-mass riser along the platform changes the radius of the circular path.

What is circular path ?

A circular path is a path that follows a circular shape or loop, as opposed to a linear path which follows a straight line. It is a type of motion that is common in physics, engineering, and mathematics. In engineering, circular paths are often used to describe the motion of objects such as wheels, gears, and pulleys.

In mathematics, circular paths are commonly used to describe rotations, orbits, circles, and other types of curves. Circular paths can also be used in artwork, architecture, and design.

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According to this, the laser always has higher energy than what is required to break the bond. A portion of the energy is utilized to break the bond, the rest is transformed into heat.

Kilowatt-hours are the unit used by your electric meter to measure power use. One kilowatt hour is equal to one thousand watt-hours. For instance, the energy usage is computed as 100 watts x 10 = 1,000 watts if a 100-watt light bulb is on for 10 hours.

Watts are units used to measure the power of electricity. One ampere under the pressure of one volt is equal to one watt of electrical power. The power of one watt is negligibly little.

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Based on the graph;

The work done by friction as the block travels from x =-0.04 to x = −0.02 m is 0.01 J.

The force exerted on the block by the spring at x = −0.02 m is 1 N.

The stiffness of a spring is indicated by the spring constant, k. For various springs and materials, it varies. The stiffer the spring is and the harder it is to stretch, the larger the spring constant. The spring constant is a measure of the spring's stiffness.

The force exerted by a spring of spring constant, k is given below as follows:

F = - kx.

where;

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For pendulum A, the period of oscillation is T = 2π × √(L/g). For pendulum B, the period of oscillation is T = 2π × √(2L/g). As we can see from the formula, Pendulum B takes longer for a swing as its period of oscillation is longer than pendulum A due to the fact that half the mass is distributed along the uniform bar.

The period of a pendulum is given by the formula T = 2π × √(L/g) where L is the length of the pendulum and g is the acceleration due to gravity.

For pendulum A, the total mass is concentrated in the small ball at the end of the massless bar, so the period of oscillation is T = 2π × √(L/g)

For pendulum B, half the mass is in the small ball, and half is distributed along the uniform bar, so the period of oscillation will be T = 2π × √(2L/g)

In both cases, the length of the pendulum is the same, so the period of oscillation for pendulum A is shorter than the period of oscillation for pendulum B. Therefore pendulum B takes longer to swing.

It's worth noting that these calculations are based on small oscillations, when the angle of oscillation is small, as the period of a pendulum is dependent on the angle of oscillation.

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The difference between static stretching and passive stretching is that static stretching is done independently by moving the body, while passive stretching is done using outside assistance.

Stretching is the activity of carrying out movements aimed at flexing or relaxing stiff body parts. Stretching is done to avoid muscle injury because it has benefits such as flexibility, range of motion, circulation, and range of motion of the joints.

There are several types of stretching to relax the body, two of which are static stretching and passive stretching. Static stretching is a movement that is done slowly on the muscles until there is tension and pain. While passive stretching is stretching that is done with outside help such as using a tool or asking for help from others to relax and flex certain muscle parts. So the difference between the two stretches is that static stretching is done independently by moving the body itself, while passive stretching is done using outside help.

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Accenture can assist its clients in being more sustainable thanks to the myNav. By making it easier to create cloud solutions that lower carbon emissions by rearranging manufacturing facilities such that carbon emissions can be calculated with ease.

by establishing new corporate efforts to lower transportation expenses and by establishing new rules for the disposal of out-of-date technology.

​reduces the expense of transportation

establishes sustainable guidelines for disposing of outdated technology.

myNav Green Cloud Advisor assists businesses in developing cloud solutions that cut carbon emissions and create a platform for ethical innovation. Green Cloud Advisor starts by establishing a baseline for the energy usage, compute needs, and sustainability objectives of current data centers.

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So because acceleration of freely falling objects is constant, if a 5 kilogram object starts free falling at rest, its acceleration at 3 seconds is g=9.8 m/s2 or 32.2 ft/s2.

As the gravitational pull of an object changes as it is moved further away from Earth or placed on another planet, so does the object's weight. Regardless of whether an object is on Planet, in deep space, or on the Moon, its mass will always be the same.

For  the gravitational force the formula is P.E. = mgh, where m is the mass in kilograms, g is the acceleration due to gravity (9.8 m / s2 at the surface of the earth) and h is the height in meters. Notice that gravitational potential energy has the same units as kinetic energy, kg m2 / s2.

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The magnitude of the centripetal acceleration of the car is 0.0034 km/sec².

Centripetal acceleration is the acceleration of an object moving in a circular path. It is directed towards the center of the circle and is responsible for the change in direction of the object's velocity.

The magnitude of the centripetal acceleration of an object moving in a circle is given by the formula:

a = v² / r

where a is the centripetal acceleration, v is the velocity of the object, and r is the radius of the circle.

Given that the car goes once around the track in 320 s, we can calculate its velocity by using the formula:

v = d / t

where d is the distance traveled and t is the time.

d = 2pir = 2pi3.0 km = 18.849 km

t = 320 sec

so the velocity of the car is v = 18.849 km / 320 sec = 0.059 km/sec.

We can now use the formula to find the centripetal acceleration of the car

a = v² / r = (0.059 km/sec)²/ 3.0 km = 0.0034 km/sec²

Hence, the magnitude of the centripetal acceleration of the car is 0.0034 km/sec².

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An explanation for the apparent increase in the rate at which the universe is expanding is dark energy. The correct option is b.

A hypothesized energy known as "dark energy" acts in opposition to gravity by exerting a repellent, negative pressure. It has been proposed to explain the observable characteristics of far-off type Ia supernovae, which reveal the universe is expanding at a faster rate than usual.

We would first need to locate dark energy before scientists could even consider whether it could be possible to use it as a source of electricity.

Therefore, the correct option is b. dark energy.

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The magnitude of the ratio of charges q1 to q2 is 23:12.

Electric field lines help us to visualize electric fields. There are two charges in the figure represented by colors red on the left and blue on the right. The red is charge q1 and and blue is charge q2. The number of electric field lines that are emerging from charge q1 and q2 are proportional to their respective charges.

The electric field lines emerging from q1 charge in red are 23 while the electric field lines emerging from the q2 charge in blue are 12. Therefore, the ratio of magnitude of their charges will be

⇒ q1/q2 = 23/12

Therefore, the magnitude of the ratio of q1 to q2 is 23:12.

--The question is incomplete, the complete question is

"The figure shows the electric field lines near two charges q1 (red, on the left) and q2 (blue, on the right), calculate the magnitude of their ratio."--

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The net force acting on the box, and the frictional force acting backward is 25 N

Here,

mass ,m = 12 Kg

F1 = 49 N

a = 2 m/s^2

Using the second law of motion

net force on the particle = m * a

net force on the particle = 12 * 2

the net force on the particle = 24 N

let the frictional force is f

F1 - f = Fnet

49 - f = 24

f = 25 N

The vector sum of all forces acting on an object is known as the net force. As a result of the fact that a force is a vector and that two forces with identical magnitudes and opposing directions cancel each other out, the net force is the sum of all the forces, or put another way, the net force is the sum of all the forces.

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Man must exert energy to ascend the steps. No, you can't get to the top right away. (When explaining, use the analogy of an electron to represent a man.)

You can ascend stairs with the aid of stored muscular energy, and in this case, you obtain potential energy since you gain height while doing so.

None of the voids between the orbits may be occupied by the electron. The rungs of a ladder serve as a commonplace illustration of the Bohr model. You can only be on certain rungs of a ladder as you climb or descend it; you cannot be in the spaces between the rungs. Man must exert energy to ascend the steps. No, you can't get to the top right away. (When explaining, use the analogy of an electron to represent a man.)

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The given statement is false. Due of their athleticism and muscular bodies, exceptional athletes like LeBron James or Michael Jordan transcend the laws of physics.

Laws of Physics are by their very nature statements of facts that have been inferred and developed from empirical data. Simply said, physical laws are a technique of categorizing how the world behaves when it comes to "functioning."

When an object interacts with another object, it experiences a push or pull known as a force. Every time two objects come into contact, a force is applied to each one of them.  Actual forces can only be created by interaction.

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The above prompt is related to Interplanetary Science or Astronomy.

1) The diagram that best represents the appearance of the Moon at position P 'When viewed from the Earth is Option A.

2) The factor that most likely caused the difference in the apparent size of the Moon in photographs A and B is: "The distance from the Earth to the Moon changed." (Option D).

The study of planets and other objects in our solar system is known as interplanetary science. Telescopes, satellites, and other technologies are used by scientists to understand more about these objects and how they developed and evolved through time.

It also entails researching the possibility of life on other planets and moons, as well as learning about the solar system's past and future.

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The complex impedance of the 100 mH inductance when a voltage vL(t) = 10cos(2000πt) is applied to it is: j200Ω.

What is inductance?

Inductance is a property of an electrical component that describes the ability of the component to store energy in a magnetic field when electric current passes through it.

Inductance is measured in units of henrys (H). When current flows through a component with inductance, it creates a magnetic field around the component that resists changes to the current. This resistance to changes in current is called inductive reactance and is measured in units of ohms.

The complex impedance of an inductor is given by Z = jωL, where ω is the angular frequency and L is the inductance.
Therefore, the complex impedance of the 100 mH inductance when a voltage vL(t) = 10cos(2000πt) is applied to it is:
Z = j(2000π) (100 x 10-3) = j(2π) (100 x 10-3) = j200Ω

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Answer:

The acceleration of an object can be calculated using Newton's second law of motion, which states that the force acting on an object is equal to the mass of the object multiplied by its acceleration. The equation is:

F = ma

where F is the force, m is the mass, and a is the acceleration.

So, if we know the mass of the object (m = 56 kg) and the force acting on it (F = 800 N), we can calculate the acceleration (a) by dividing the force by the mass:

a = F / m

a = 800 N / 56 kg

a = 14.28 m/s^2

So the acceleration is 14.28 m/s^2

A man is pushing a baby stroller. Compared to the magnitude of the force exerted on the stroller by the man, the magnitude of the force exerted on the man by the stroller is the same.

From Newton's third law of motion, the force exerted on the stroller by the man is same as the force exerted on the man by the stroller but is in the opposite direction.

Thus, the magnitude of the force exerted on the stroller by the man and the magnitude of the force exerted on the man by the stroller is same but in opposite direction.

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Therefore, entropy is the measure of the disorder of a system.

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The velocity of the launched marble is 7.98 m/s. Using the formula by equation kinetic energy and potential energy.

Potential energy is a form of stored energy that is dependent on the relationship between different system components. When a spring is compressed or stretched, its potential energy increases. If a steel ball is raised above the ground as opposed to falling to the ground, it has more potential energy. It is capable of performing more work when raised.

The directional speed of an item in motion, as measured by a specific unit of time and observed from a certain point of reference, is what is referred to as velocity.

Calculations:

Total kinetic energy will get converted into potential energy

[tex]\frac{1}{2} m V^{2}[/tex] =  [tex]m g h[/tex]

M = mass

V = initial velocity

h = maximum height

[tex]V = 2 g h^{0.5}[/tex]

   =  [tex](2 * 9.8 * 3.25 )^{0.5}[/tex]  = 7.98 m/s.

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When an item is projected vertically upward, its velocity is assumed to be zero at its highest point, yet it still experiences acceleration from the gravity of 9.8 m/s^2.

This means that anything that is drawn toward the center of the earth has a 9.8-meter acceleration per second as it "falls" to the earth. As a result, each second that such a body is dragged towards the earth, its velocity (the speed with direction) increases by around 9.8 meters per second.

The velocity is constant in uniform motion. In terms of time, neither its magnitude nor its direction change.

Distance is the length of any path connecting any two places. When measured along the shortest path between any two points, displacement is the direct distance between them. The direction is ignored when calculating distance. The direction is accounted for in the displacement calculation.

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Answer: a freezer with the door shut

Explanation:

The radio wave's wavelength is 1.0 m. A waveform signal that is carried in space or down a wire has a wavelength, which is the separation between two identical places (adjacent crests) in the consecutive cycles.

The following formula was used to determine the frequency:

radio wave speed, c = radio wave frequency / radio wave length

c = f x λ

Because a radio wave is an electromagnetic wave and travels at the same speed as light, its speed, c = 3 x 108 m/s, is equal to the speed of light in this case.

When the formula

3 x 108= f x 1.0

f = 3 x 108/1

f = 3 x 108 Hz is used,

Radio waves therefore have a frequency of 3 x 108 Hz.

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In the given reaction, 2Mg(s) + O₂ (g) → 2MgO (s), 88.7 kJ of energy will be released.

The reaction 2Mg(s) + O₂ (g) → 2MgO (s) involves the release of energy from the system and hence it is an exothermic reaction. 21.2 kcals of energy is released from this reaction.

21.2 kcals = 21.2 × 10³ calories

1 cal = 4.184 J

For 21.2 × 10³ calories,

21.2 × 10³ cal × 4.184 = 88.70 × 10³ cal

To convert J to kJ, we divide it by 10³

88.70 × 10³ / 10³ = 88.70

Rounding off to nearest tenths, the amount of energy released by the given reaction in kJ = 88.7 kJ

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The wave pulses always travel in the same direction. Each pulse differs significantly in terms of amplitude. Va = vb = vc as a result.

Pulses come in a wide variety of sizes and forms and are just dried seeds from legumes. The four most popular pulses—beans, chickpeas, lentils, and peas—and some of its variants will be described, illustrated, and given common names in this book.

The edible seed of a legume plant is known as a pulse. Peas, lentils, and beans are examples of pulses. As an illustration, a pea pod is a legume, while the pea within is a pulse.

The fastest and slowest waves should be calculated. The three scenarios in the illustration each illustrate a different amplitude of the wave with the same string.

Consequently, va = vb = vc.

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Answer: 64 m is the maxium distance the ball can travel

Salt dissolves in water to form saltwater. This kind of change is regarded as a chemical change.

A physical change is a kind of change in which only the physical properties of matter change. In a physical change, neither the composition nor the chemical nature of matter is changed.

A chemical change involves a chemical process that results in the production of new substances. When you dissolve salt in water the sodium chloride dissociates in Na+ and Cl- ions which can be written in the form of a chemical reaction as,

NaCl →  Na+(aq) + Cl-(aq)

Thus, dissolving salt in water is an example of a chemical change.

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D) Region A. The observed effect is strongest in Region A, as this region contains the most extreme temperatures and the most extreme change in temperature over time.

What is temperatures ?

Temperatures refer to the degree of hot or cold that something is. It is typically measured in either Celsius or Fahrenheit, with Celsius being the most common metric used.

Temperatures can range from extreme cold to extreme heat, with average temperatures ranging from -40 to 40 degrees Celsius. Temperatures can be affected by a number of factors, including altitude, latitude, and proximity to the ocean. Different climates can experience vastly different temperatures, making it important to know the temperature of a particular area before traveling.

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