Decribe the motion of a body following under gravity and write the related equation

The reason that  speed of a competitor changes during the race is that

The speed of a competitor during a race can change for a variety of reasons. Some of the most common include the following:

Physical condition: A competitor's physical condition can change during a race, leading to a change in their speed. For example, a runner may start off strong but tire as the race progresses, causing their speed to decrease.

Terrain: The terrain of the race can also have an impact on a competitor's speed. Running uphill, for example, typically requires more effort and can slow a competitor down, while running downhill can allow them to pick up speed.

Weather: Weather conditions can also affect a competitor's speed during a race. Running in hot, humid conditions, for example, can make it more difficult for a competitor to maintain a high level of performance.

Strategy: Competing athlete has a strategy to maintain a sustainable pace which he could not change that often, it could lead to either decrease or increase in speed.

Tactics: Athletes may also adjust their tactics during a race in response to the competition. For example, a runner may slow down to conserve energy in the early stages of a race in order to have a stronger finish.

Injury: Sometimes, an injury can happen during a race and it can force the athletes to adjust their speed to adapt.

In all, the speed of a competitor during a race can change for a variety of reasons related to their physical condition, the terrain, weather, strategy, tactics and injury.

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When the amplitude of a body undergoing simple harmonic motion is doubled then the maximum speed is doubled.

Equation of shm is

x(t) = Xo + Acos(wt + f)

Differentiate it with t

v(t) = wA * sin(wt + f)

Then max speed Vmax is wA

So by above relation if we double the amplitude then velocity will be doubled.

If the force acting on the oscillating body is always in the direction opposite to the displacement of the body from the equilibrium or the mean position and its magnitude is proportional to the magnitude of displacement, the body is said to be executing SHM.

If the displacement vs. time curve of the oscillating body is sinusoidal in nature, the body is said to be executing SHM. This is another definition of SHM.

If the potential energy of the oscillating body is proportional to the square of its displacement with reference to the mean position, the body is said to be executing SHM. This is yet another definition of SHM.

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Work is characterized as a force that causes an object to move or be displaced.  The work done would be 455040.

Work is the scalar product of the force acting on an object and the displacement that force causes when the force is constant.

Despite the fact that work lacks a direction due to the scalar product (or dot product) aspect of vector mathematics, force and displacement are both vector quantities.

"W" stands for work, "F" is the force, and "d" represents displacement (or the distance the object travels).

Therefore, Work is characterized as a force that causes an object to move or be displaced.  The work done would be 455040.

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The stars in the center of the Milky Way galaxy is approximately 94.5 billion stars. The result is obtained by dividing the mass of the galactic center by the mass of the Sun.

The number of stars in a galaxy can be estimated by dividing the mass of galactic center by the mass of a typical star.

In the Milky Way,

Suppose that the Sun is a typical star with a typical mass and the galactic matter is made up of stars. Find the approximate number of stars in the center of the galaxy!

From the scientific data, the mass of the Sun is 1.99 × 10³⁰ kg.

The number of stars is approximately

N = Mass of the galactic center / Mass of the Sun

N = 1.88 × 10⁴¹ kg / 1.99 × 10³⁰ kg

N = 0.945 × 10¹¹

N = 94.5 × 10⁹

N = 94.5 billion stars

In the center of Milky Way, the number of stars is around 94.5 billion stars.

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When the filtrate moves through the two arms of the Henle's loop in directions that are diametrically opposed, countercurrent occurs.

For the medullary interstitial fluid to remain at a high osmolarity, Henle's loop's ascending limb is essential. These two limbs' close companion, the vasa recta, similarly has two opposing orientations of function. The hand can be significantly cooled without losing body heat because the deep veins are wrapped around the arteries, and the counter-current flow that results from this short-circuits the loss of body heat.

Over the course of their full interaction, the counter-current exchange system may keep the gradient between the two flows practically constant. This can result in practically all of the property transferring if the length and flow rate are both sufficient.

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Work is accomplished by stretching or compressing a spring. Elastic potential energy is stored in the spring. It is recommended to expand the spring up to 12.8 cm.

Elastic potential energy is stored in the spring as a result of the work required to stretch or compress it. A spring's elastic potential energy is equal to one-half the sum of its spring constant times its deformation squared.

We'll talk about elastic potential energy as the second type of potential energy. The energy that is trapped in elastic materials as a result of their stretching or compression is known as elastic potential energy.

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The absolute pressure in a car tire can found by following method:

Pressure is the force per unit area applied toward a course perpendicular to the outer layer of an item. To keep it precise, it is an amount of force following up on a unit area. The SI unit for pressure is measured in Pascals (Pa). Other non-SI units are bar and PSI. There are two types of references to quantify pressure,

                                 Gauge Pressure

                                 Absolute Pressure

Formula of Absolute pressure is given by:

                                       p(a) = p(g) + p(atm)

Where ,

p(a) is absolute pressure,

p(g) is gauge pressure and

P(atm) is atmospheric pressure

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For segment AB in the bacterium's trajectory, The x component of its velocity is 3.92m/s.

[tex]AB_X = 50um AB_Y = 10um[/tex]

[tex]AB =\sqrt{50^{2}+ 10^{2} } = 50.99um[/tex]

[tex]t = \frac{AB}{20} = 2.55[/tex]

[tex]V_ABY = \frac{AB_Y}{T}[/tex]

[tex]\frac{10}{2.55}[/tex] [tex]= 3.92m/s[/tex]

Speed is the directional pace of an item in motion as an illustration of its fee of change in position as discovered from a specific body of reference and as measured with the aid of a selected well-known time (e.g. 60 km/h northbound). speed is an essential idea in kinematics, the department of classical mechanics that describes the motion of our bodies.

Velocity is a physical vector quantity; both importance and route are had to define it. The scalar absolute value (significance) of velocity is known as pace, being a coherent derived unit whose amount is measured within the SI (metric system) as meters per 2d (m/s or m⋅s−1). as an example, "5 meters per 2d" is a scalar, whereas "5 meters in step with 2nd east" is a vector. If there's an exchange in speed, direction, or each, then the object is stated to be present process an acceleration.

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The magnetic field outside the solenoid [tex]B_{\text {out }}[/tex] is zero.

The magnetic field lines are present outside the solenoid, but there are significantly less of them there than there are inside the solenoid. This is known as the flux. As a result, the magnetic field outside is thought to be almost nil. It is more accurate to assume that the magnetic field outside the solenoid is zero if the solenoid is quite long. It is false close to the solenoid's edge. We consider the magnetic field outside the solenoid to be zero for practical purposes. This amount of flux divided by the area outside the solenoids gives the flux density, which is equal to the strength of the field outside the solenoid is zero.

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A and B being Hermitian operators means that they are equal to their own conjugate transpose.

What is a Hermitian operator?

A Hermitian operator is an operator that is equal to its own complex conjugate. This means that if an operator A is Hermitian, then A=A*. This property is important in quantum mechanics, since it guarantees that the eigenvalues of the operator are real.

AB ≠ BA

(AB + BA) = (A + B)*(A + B) = A*A + A*B + B*A + B*B

(AB + BA) is Hermitian since the conjugate transpose of a sum is the sum of the conjugate transposes.

i(AB-BA) = i(A - B)*(A - B) = -iA*A + iA*B -iB*A + iB*B

i(AB-BA) is Hermitian since the conjugate transpose of a sum is the sum of the conjugate transposes.

The expectation value of A2 is always real and non-negative since A2 is Hermitian and thus equal to its own conjugate transpose, which implies its eigenvalues are real.

If A2 = 2, then A can have eigenvalues of ±√2.

Hence, eigenvalues of A is ±√2.

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Answer:

the waves will appear horizontally on the florescent screen because the y-plates have been removed

Without the plates for vertical deflection, the CRO will only display the horizontal waveform on the fluorescent screen, with no vertical deflection.

CRO stands for Cathode Ray Oscilloscope. It is an electronic instrument used for visualizing and measuring various electrical and electronic waveforms. It works by displaying a graph of voltage versus time on the screen. This graph is generated by deflecting a beam of electrons, known as the cathode ray, across a screen coated with a phosphorescent material that emits light when struck by the electrons. The horizontal axis of the screen represents time, while the vertical axis represents the amplitude of the signal being measured. CROs are widely used in electronic engineering, telecommunications, and other fields for testing and analyzing signals.

Here in the Question,

If the plates for vertical deflection are removed in a Cathode Ray Oscilloscope (CRO), then the wave pattern on the fluorescent screen will be a straight line, with the height of the line depending on the voltage applied to the horizontal deflection plates.

This is because the CRO uses an electron beam to display the waveform of an electrical signal on a fluorescent screen. The electron beam is directed towards the screen by the deflection plates, which are typically placed perpendicular to each other.

When a voltage is applied to the vertical deflection plates, the electron beam is deflected vertically, resulting in a waveform on the screen. If the vertical deflection plates are removed, the electron beam will not be deflected vertically and will travel in a straight line towards the screen.

However, if a voltage is applied to the horizontal deflection plates, the electron beam will be deflected horizontally, resulting in a waveform that is displayed horizontally on the screen. The height of the waveform will be determined by the voltage applied to the horizontal deflection plates.

Therefore, without the plates for vertical deflection, the CRO will only display the horizontal waveform on the fluorescent screen, with no vertical deflection.

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Answer: Hello! An objects speed is constant and has the units meters per second (m/s); thus, it does not change overtime. Acceleration is a rate of change where the speed does either increase or decrease overtime from its inital value; its units are meters per second second (m/s/s). I hope that helps!

The amount of matter a body's mass is the volume of matter abody's mass. Weight is the gravitational force that pulls on the body.

The relationship between mass and weight: Mass is a measure of inertia, whereas weight is a measure of force.

Both of these names are frequently used in the same sentence. In order to determine how much matter a body is made up of, its mass is used as mode of measurement.

The acceleration which is caused by gravity on any mass is measured in terms of weight.

Mass is a measure of the quantity of matter in a material, whereas weight measures how the force of gravity acts upon a mass.

In order to determine how much matter a body contains, its mass is used.

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Answer:

1) correct answer is ii  larger size

2) false, 3) false, 4) true, 5) true, 6) true

Explanation:

In this exercise, the answer is asked if the statement is true.

1) in the rapid cooling speed, there is no thermodynamic equilibrium, so the secondary phases do not have time to transform into the main one, therefore many phases appear in the products,

the correct answer is ii

2) False. The transformation of a material to the glass state requires a fixed temperature and rapid changes to reach this temperature,

3) False. The most stable state is the crystalline state, the glass states are metastable, their Gibbs energy is not the lowest possible and they must transition to the crystalline state over time, it can be years or centuries.

4) True. The melting and freezing temperatures change for each material, within the same material it always has the same value, since it corresponds to a change in the state of the system.

5) true. Cast iron is called gray because of the impurities inside that have not had time to move due to rapid cooling.

6) True. The microstructure is reduced in the process of cooling and heating

The results in terms of wavelength, velocity, and frequency i.e (L,f,v) are as follow,.

(a) λ = v/f

(b) The value of the first minimum will be [tex]x =\sqrt{\frac{v^2}{4 f^2}+\frac{v L}{f}}[/tex]

(c) The position for the first maxima of 2nd speaker = [tex]$$x=\sqrt{\frac{v}{f}\left(\frac{v}{f}+2 L\right)}$$[/tex]

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. This length is often defined in wireless systems in meters (m), centimeters (cm), or millimeters (mm) (mm).

(a) Relation among velocity, wavelength and frequency can be defined the expression: v = fλ

From above, we can write, (λ) (wavelength) can  be equal to velocity (v) / Frequency (f)

So, λ = v/f

(b) path difference can be determined by using the expression: [tex]\Delta x=x_2-x_1 \\[/tex]

[tex]\Delta x=\sqrt{L^2+x^2}-L\end{aligned}$$[/tex]

So, for the first minimum, we can conclude the following:

[tex]$\left\{n x=\frac{d}{2}=\frac{v}{2 f}\right.$$$\frac{v}{2 f}=\sqrt{L^2+x^2}-L$$[/tex]

[tex]\left(\frac{v}{2 f}+L\right)^2 & =L^2+x^2 \\\\x^2 =\frac{v^2}{4 f^2}+L^2+\frac{v L}{f}-L^2 \\\\x =\sqrt{\frac{v^2}{4 f^2}+\frac{v L}{f}}[/tex]

(c) for first order maxima

[tex]$$\begin{aligned}& \Delta x=\lambda \\& \frac{v}{f}=\sqrt{L^2+x^2}-L\end{aligned}$$[/tex]

[tex]$$\begin{aligned}x^2 & =\frac{v^2}{f^2}+L^2+\frac{2 V L}{f}-L^2 \\x & =\sqrt{\frac{v^2}{f^2}+\frac{2 v L}{f}}\end{aligned}$$[/tex]

So, the position for the first maxima of 2nd speaker will be:

[tex]$$x=\sqrt{\frac{v}{f}\left(\frac{v}{f}+2 L\right)}$$[/tex]

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The missing diagram is attached below:

Dynamic flexibility tests are not used as often as static flexibility tests because dynamic flexibility tests involve movement, while static flexibility tests are stationary.

Dynamic flexibility tests are more difficult to perform and require more coordination, and they can be less reliable than static flexibility tests. Additionally, dynamic flexibility tests require more time and equipment to administer, making them less practical for most fitness assessment settings.

Also, dynamic flexibility tests are more specific and measure the ability to perform a specific movement, rather than measuring the general range of motion of a joint. This makes them more suitable for testing athletes and those who need to measure their ability to perform specific movements.

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The greater the mass of an object, the more particles there are in the sample and the more thermal energy it possesses at the same temperature. Assume you have some boiling hot water at 100 degrees Celsius to demonstrate this concept.

Thermal energy is shown by boiling water on a stove. Thermal energy is created when the atoms and molecules of a material vibrate faster as the temperature rises.

Mass is best defined as the quantity of matter contained in any item or body. Everything in our environment has mass. For example, a table, a chair, your bed, a football, a glass, and even air has mass. That being said, all objects are light or heavy because of their mass.

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Answer:

b. The branch with more resistance will have less current than the other branches

Explanation:

The resistance of a resistor, is the property of a conductive material that prevents or oppose the flow of current through it

The resistivity is the resistance per unit length per unit cross sectional area

Based on the nature of electric current flow and resistance; the electric current flows through the path of least resistance

Therefore, more of the electric current will flow through the branch with lowest amount of resistance while a lesser amount of current will flow through the branch with more resistance.

Answer: True

Explanation:

Answer: C. Pangaea

Explanation: This is the term for when all the continents were one. Please give brainliest <3

Answer:

V = wavelength * frequency = 1.5 * 5.5 = 8.25 m/s

Answer:

Yes, there is a case where one of the two charges in Coulomb's Law experiences a different force magnitude than the other charge. Coulomb's Law states that the electric force between two charged particles is directly proportional to the product of the magnitudes of the charges and inversely proportional to the square of the distance between them. If the magnitudes of the charges or the distance between them changes, the force experienced by one of the charges will also change. For example, if one of the charges is doubled in magnitude while the other charge and the distance between them remain the same, the force experienced by the charge with the increased magnitude will also double.

answer

200

Explanation:

5000-5200=200

The situations is kinetic energy transformed into chemical energy by way of electrical energy is- wind turns the blades of a turbine on a wind generator, producing electricity that can be stored in a battery.

Hence, option A  is correct.

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Answer:

2000

Explanation:

180/0.09

=2000

pressure=force/area

Determine the highest centrally applied vertical load p the block can support if the material breaks when the average normal stress reaches 120 psi.

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The correct option is option e) cross product

The cross-product is a new way of "multiplying" two vectors. It results in a new vector that is perpendicular to both the original vectors and its magnitude is given by the area of the parallelogram formed by the two original vectors.

In three-dimensional space, cross-product is a binary operation on two vectors. It yields a vector perpendicular to both vectors. a b represents the vector product of two vectors, a and b. Its resulting vector is parallel to a and b. Cross goods are another name for vector products.

The cross-product has four basic applications:

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Electric current is a term used to describe how much electricity flows across a circuit and how it flows in an electronic circuit. Amperes are used to measure it (A).

The energy of charged particles is referred to as electricity. One option for storing electricity is a battery. Electricity flows when you connect a battery to a light bulb. Due to the fact that electrical charges (electrons) can freely transport energy from the battery through the bulb, this occurs.

Disconnect the power source. This is the first and most crucial requirement to abide by. This is the first and most crucial rule to adhere to. If you ever need to repair electrical equipment in your house, be sure to first unplug it from the power source. It might not be sufficient to simply turn it off.

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Answer:

8.3 m/s

Explanation:

Here's the answer in m/s:

(10 km)(1000 m/km) = 10000 m

(20 min)(60 s/min) = 1200 s

speed = d/t = 10000m / 1200s = 8.3 m/s