A football player pushes a training sled 20 meters while pushing with a constant force of 300 Newtons. If this is accomplished in 7.5 seconds, what power was exerted?

The ratio of their radius [tex]\frac{r_A}{r_B}[/tex] = 1/4 .

Escape velocity is the speed at which the sum of kinetic and gravitational potential energy of an object equals 0.

[tex]v_e_s_c[/tex] = [tex]\sqrt{\frac{2GM}{r} }[/tex]

where [tex]v_e_s_c[/tex] is escape velocity G is universal gravitational constant and M is mass of the object and r is distance of object.

let [tex]v_A[/tex] and [tex]v_B[/tex] be the escape velocity of the of planet A and planet B

so [tex]v_A = \sqrt{\frac{2GM}{r_A} }[/tex]  -----(i)

and [tex]v_B=\sqrt{\frac{2GM}{r_B} }[/tex]   ----(ii)

given [tex]\frac{v_A}{v_B}[/tex] = 2

=>  [tex]\frac{v_A^2}{v_B^2}[/tex]  = 4

=> [tex]\frac{r_B}{r_A}[/tex] = 4

so [tex]\frac{r_A}{r_B}[/tex]  = 1/4

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3.92 ×[tex]10^{3}[/tex]  is  the equilibrium constant, k, at 25°c for a reaction in which δgo = −20.5 kj/mol. ΔGo and K are related by the equation ΔGo = -RT ln K.

For a chemical reaction, the equilibrium constant can be defined as the ratio of reactant to product that is used to determine chemical behaviour. The rate constants are constant at a given temperature.

The equilibrium constant is equal to the forward reaction rate constant divided by the reverse reaction rate constant.

The demand and supply function (Qa - bP = x + yP) can be used to calculate it. When the supply equals the demand, the equation yields an equilibrium price. Because we're supposed to be using active masses rather than molarity/concentrations of the respective substances, the equilibrium constant has no units.

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The energy of the photon is 1.21 *[tex]10^{-17} J[/tex]

Photons released during transition have an energy of

E = hv

E=(hc) / λ

where ,

h Planck's constant, which is equal to   6.626 x[tex]10^{-34}[/tex] J-s

v is frequency of photon

λ is wavelength of photon

Einstein's paradigm was built on the basis of two suppositions. He initially believed that light was made up of photons, which are tiny, discrete bundles of energy. Second, he predicated that the energy of a photon is inversely related to both its wavelength and its frequency.

substituting the values in above formula we get

E=( 6.626 x[tex]10^{-34}[/tex] J-s)  *(1.821 × [tex]10^{16}[/tex]  [tex]s^{-1}[/tex])

E= 1.21 *[tex]10^{-17} J[/tex]

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The work done by the the force is mg ( 1 - cosθ₀ ). The work done by the gravitational force on the bob is - mgl ( 1 - cosθ₀) . The work done by the force that the cord exerts on the bob is always zero.

(A) Mass of the bob = m

Length of the chord = l

Magnitude of force = f

Initial acceleration = 0

Initial angle = θ₀ = 0

Final angle = θ

Distance travelled = s = Final angle  - Initial angle

The work done is proportional to force and displacement. It can be determined as W.

Work done by the force = W =

= W = ΔU

= W = mgh

= W = mg ( 1 - cosθ₀ )

Here, we used the work energy theorem to solve for the work done by the horizontal force.

(B) The work done by gravitational force is = W

= W = F.x

= W = mgl ( 1 - cosθ₀) X cos180

= W = - mgl ( 1 - cosθ₀)

(C) The tension that cord exerts on the bob is always at the angle of 90.

The work done is given as,

= W = F.x

= W = F. x X cos90

= W = 0

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This phenomenon of motion in physics can be explained in the following manner,

In a tug-of-war the rope is pulled by the two competing teams simultaneously, each using an equal amount of force. The rope is pulled with equal force by both teams thanks to Newton's third law. If one team pushes harder, the other team will follow suit.

The power with which the teams press the ground determines whether one team wins or loses. The team that pushes the floor harder gets pushed back with identical intensity by the ground, causing them to stand up straight without losing their equilibrium.

As a result, the power by which the team pushes the floor determines who wins and who loses.

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The magnitude of the radial acceleration of the car 10m/sec²

Given Velocity v = 50m/sec

Diameter D = 500m

Radius r = 250m

Acceleration a = [tex]v^{2}[/tex]/r = 2500/250 = 10m/sec²

The rate of change in an object's velocity with respect to time is known as acceleration in mechanics. In vector quantities, accelerations exist (in that they have magnitude and direction). [1] [2] The direction of the net force that is acting on an object determines its acceleration. Newton's Second Law[3] states that the sum of the effects of two causes determines the size of an object's acceleration:

The net balance of all external forces acting on that thing — magnitude is directly proportional to this net resulting force; that object's mass, depending on the materials out of which it is built — magnitude is inversely proportional to the object's mass.

Meter per Second Squared (m/s2) is the SI unit for acceleration. displaystyle, mathrm, tfrac, ms2, and

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Yes, it is possible for a particle to be found within the barrier while undergoing tunneling.

This phenomenon is known as quantum tunneling. Quantum tunneling occurs when a particle tunnels through a barrier that is normally too high to be crossed by the particle's kinetic energy. This occurs due to the wave-like nature of particles, which allows them to go through barriers that are otherwise impenetrable.

The wave-like nature of particles allows them to penetrate the barrier, often with a probability greater than zero. This phenomenon is used in many applications in science and technology, such as in quantum computing, where quantum tunneling is used to tunnel qubits through the barrier of a logic gate.

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The tension in the cord when the object is at the lowest point of its swing is 3 mg.

The complete question is in the attachment. The small object moves from point A to point B. According to the law of conservation of energy

KE a + PE a = KE b + PE b

0.5 m₁ v₁² + m₁ g h₁ + 0.5 m₂ v₂² + m g h₂

(0.5 × m × 0²) + (m × g × r) = (0.5 × m × v₂²) + (m × g × 0)

0 + mgr = 0.5 mv₂² + 0

v₂² = 2gr

[tex]v_2 \:=\: \sqrt{2gr}[/tex]

The object moves according to uniform circular motion. There is the centripetal force that works in the system. The forces acting on the object are weight force and tension force. According to Newton's second law for circular motion

Fc = mα

T - w = mv²/R

T - mg = mv²/R

T = mv₂²/r + mg

T = (m × 2gr ÷ r) + mg

T = 2mg + mg

T = 3 mg

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The kinetic energy of a rotating body with moment of inertia 0.003 kgm^2 and angular velocity of 0.6 radius per seconds is equal to 0.00054 Joules.

In Science, kinetic energy can be defined as a type of energy that's possessed by a physical object or body, especially due to its motion or a change in velocity (acceleration).

Mathematically, the kinetic energy of a rotating body with a given moment of inertia and angular velocity can be calculated by using the following mathematical expression;

K.E = 1/2 × I × ω²

Where:

Substituting the given parameters into the formula for the kinetic energy of a rotating body, we have;

K.E = 1/2 × 0.003 × 0.6²

K.E = 0.00054 Joules.

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Complete Question:

Find the kinetic energy of a rotating body with moment of inertia 0.003 kgm^2 and angular velocity of 0.6 radius per seconds.

Artesian spring all a spring that escapes a confined aquifer via rock fracture and is under enough pressure to free-flow to the surface.

To keep the water from evaporating, aquitards must exist both above and below the aquifer.  when a well is dug into the aquifer and the pressure surface is above the surface.

A pumpless water source known as an artesian well utilizes pipes to help pressurized subsurface water rise to the surface.

movement of saline water into freshwater aquifers in inland and coastal regions as groundwater is drained more quickly than it is replenished by precipitation

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the natural length (in cm) of the spring is 4 cm

Calculation :

Let a = natural length of string from given data

54 = k/2(16-a)² - k/2(10-a)²

108 = k[256 + a² - 32a - 100 - a² + 200]

108 = k[156 - 12a]

9 = k[39 - 3a]   ------ 1

90 = k/2(22-a)² - k/2(16-a)²

90 = k(114 - 6a)

15 = k(19 - a) --------2

solving eqn 1 and 2

15/9 = (19k - ka)/(13k - ka)

15/9 = (19- a) / (13 - a)

24 = 6a

a = 4 cm

the natural length (in cm) of the spring is 4 cm.

Work is a force over distance. Examples of jobs include lifting objects against gravity, driving cars up hills, and pulling down trapped helium balloons. Work is a mechanical manifestation of energy. The usual unit of work is the joule (J), which is equivalent to the Newton meter (N m).

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Due to the dependence of gas volume on temperature and pressure, gases are not commercially marketed by volume.

The space occupied by the gaseous particles under typical pressure and temperature circumstances is referred to as the volume of gas.

It has the symbol "V."

The symbol for volume in the SI is "litres," or "L".

When the gas is at normal temperature, a mole has a volume of 24 m3, or 24 000 cm3.

The molar volume of a gas is this quantity.

The body of lecture 18 is included in the material that follows. The Gas Laws, including the Ideal and Combined Gas Laws, as well as Charles', Boyle's, Avagadro's, and Gay Lussacs', are covered in this lecture.

The four primary characteristics of gases are related to one another by four main principles.

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A ray diagram is a tool used by physicists to explain or predict the behavior of beams of light as they pass through objects such as glass blocks or lenses.

A ray diagram is a diagram that strains the route that light takes so as for a person to view a factor in the photograph of an object. In the diagram, rays are drawn for the incident ray and the meditated ray.

Ray diagrams help us hint at the course of the light for the man or woman to view a point on the photograph of an object. The Ray diagram makes use of lines with arrows to symbolize the incident and reflected ray. It also helps us trace the direction in which the mild travels.

A mild ray is a line that is perpendicular to the mild's wavefronts; its tangent is collinear with the wave vector. light rays in homogeneous media are instant. They bend at the interface between two distinctive media and may be curved in a medium wherein the refractive index modifications.

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The wavelength of the electromagnetic radiation broadcasted by the FM radio station is 0.3 m.

The FM radio station is broadcasting the electromagnetic radiation at a frequency of 92.6 megahertz.

The relation between the frequency, wavelength and speed of the electromagnetic radiation is given by,

v = cy

Where,

c, y and v are the speed, wavelength and frequency of the electromagnetic radiation respectively.

The speed of the electromagnetic radiation will be equal to the speed of the light.

Now, putting all the values,

92.6 x 1000000 = y x 3 x 10^8

y = 0.3 m.

So, the wavelength of the FM electromagnetic radiation is 0.3m.

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Answer:

10.347

Explanation:

The differential gravitational force that one body exerts on opposite sides of another body is called gravitational torque.

Gravitational torque is a measure of the rotational force exerted by a gravitational field on an object. It is equal to the product of the gravitational force and the lever arm (the distance between the point of application of the force and the axis of rotation).

For example, consider a satellite orbiting a planet. The satellite experiences a gravitational force from the planet, which acts to pull it toward the planet. However, this gravitational force is not uniform over the surface of the satellite.

The side of the satellite closest to the planet experiences a stronger gravitational force than the side furthest from the planet. This differential gravitational force creates a gravitational torque on the satellite, which causes it to rotate about its axis.

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Answer: a = 5.4 m/s^2

Explanation:

a = Δv/Δt

a = (6.5 m/s)/(1.2 s)

a = 5.4 m/s^2

The engine's thermal efficiency if the gas volume is halved during the adiabatic compression is 24%

Any thermal cycle's efficiency is expressed as

[tex]$$\eta=1-\frac{T_c}{T_h}$$[/tex]

We know that for an adiabatic process

[tex]$$p V^\gamma=\text { const }$$[/tex]

From the first law, we may express pressure in terms of temperature.

[tex]$$\begin{aligned}& p V=n R T \\& \Rightarrow p=\frac{n R T}{V} \propto T V^{-1}\end{aligned}$$[/tex]

As a result, we have the following for an adiabatic process:

[tex]$$T V^{\gamma-1}=\text { const } .$$[/tex]

Let us now calculate a temperature ratio based on the volume ratio:

[tex]$$T_c V_c^{V-1}=T_h V_h^{\gamma-1}$$[/tex]

We get that

[tex]\frac{T_c}{T_h}=\frac{V_h^{\gamma-1}}{V_c^{\gamma-1}}=\left(\frac{V_h}{V_c}\right)^{\gamma-1}$$[/tex]

The Efficiency will be,

[tex]$$\begin{array}{r}\eta=1-\left(\frac{V_h}{V_c}\right)^{\gamma-1} \\\eta=1-\left(\frac{1}{2}\right)^{1.40-1}=24 \% .\end{array}$$[/tex]

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A point-to-point microwave link is being implemented at 10 ghz using identical parabolic antennas on each end of 20 cm diameter and illumination efficiency of 90%. 10 g X G means 10gG is the gain of these antennas.

Electromagnetic radiation that can be seen by the human eye is known as light or visible light. Typically, visible light is characterized as having wavelengths between 400 and 700 nanometers (nm), or frequencies between 750 and 420 terahertz, which fall between the longer-wavelength infrared and the shorter-wavelength ultraviolet (with shorter wavelengths). The term "light" in physics can be used to more broadly describe electromagnetic radiation of any wavelength, whether or not it is visible. Gamma rays, X-rays, microwaves, and radio waves are all forms of light in this sense. Intensity, illumination, propagation direction, frequency or wavelength spectrum, and polarization are the four main characteristics of light. One of the fundamental constants of nature is its speed in a vacuum, which is 299 792 458 meters per second (m/s). The wavelength of EMR affects how it behaves. While lower frequencies have longer wavelengths, higher frequencies have shorter ones. The behavior of EMR depends on the energy that each quantum of the field carries when it interacts with individual atoms and molecules.

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The spring's compressed length before halting frictionless  is therefore 0.40m.

(m2) (s–1) (s–1)

2 N kg m s2 (kg m-1) Take a test. 5. Scalars: mass, distance, and the labour required to extend the spring out of its equilibrium position are stored as elastic potential energy; vectors: displacement, velocity, acceleration, and force; The work required to extend the spring away from equilibrium is equal to the change in kinetic energy of the box. The spring is extended until the box stops moving; hence, the box's final kinetic energy is zero. The elastic potential energy used to compress the spring can be equated to the initial kinetic energy of the box to find the expression to compute the compressed distance using the law of conservation of energy frictionless.

The force required to create

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QCS=QC1+QC2+QC3. When we cancel the charge Q, we get the formula 1CS=1C1+1C2+1C3, which contains the equivalent capacitance, CS, of three capacitors connected in series.

Any number of capacitors in a series network can be included in the generalization of this formula. The polarity of an AC current alternates between positive and negative on a regular basis. As the polarity of the current changes, capacitors are continuously charged and discharged, allowing AC current to pass through. A capacitor, as contrast to a battery, is a component of a circuit that temporarily stores electrical energy by dispersing charged particles between (often two) plates to produce a potential difference. A capacitor may charge more fast than a battery and can discharge its whole stored energy in a matter of seconds.

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They would have an 11-times higher equivalent resistance if they were joined in series.

Consider the scenario of a person navigating a busy market and encountering difficulty moving from one business to another to better understand resistance. Undoubtedly, this circumstance is comparable to a particle trying to pass through a wire.

An electrical conductor's resistance is determined by its length, resistivity, and cross-sectional area. The relationship between conductance and resistivity must be understood; the more conductive that anything is, the less resisting it is.

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The complete question is-

three resistors, 1 ohm, 2 ohm, 3 ohm are connected in a parallel. if they were connected in series instead their equivalent resistance would be

a. 13 times as great

b. 11 times as great

c. 9 times as great

d. 7 times as great

e. none of the above

An outdoor thermometer ~sterl1l temperature of 40 f. five minutes after it is brought into a room where the temperature is 70 f. the thermometer registers 60 of. In 8.15 min it will register 65 f.

The physical concept of temperature indicates in numerical form how hot or cold something is. A thermometer is used to determine temperature. Thermometers are calibrated using a variety of temperature scales, which historically defined distinct reference points and thermometric substances. The most popular scales are the Celsius scale, sometimes known as centigrade, with the unit symbol °C, the Fahrenheit scale (°F), and the Kelvin scale (K), with the latter being mostly used for scientific purposes. One of the seven base units in the International System of Units is the kelvin (SI). The lowest temperature on the thermodynamic temperature scale is absolute zero, or 0 kelvin, or 273.15 °C. The third law of thermodynamics acknowledges that it cannot actually be reached experimentally but can only be very closely approached. At that temperature, it would be difficult to produce heat from a body. All areas of natural science, including physics, chemistry, Earth science, astronomy, biology, ecology, material science, metallurgy, mechanical engineering, geography, and most aspects of daily life, depend on temperature. These fields include medicine, biology, ecology, and most other branches of science.

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The critical angle for water is 49 degrees, calculated as the angle between the beam and a line perpendicular to the surface.

Cogitate, deliberate, reason, conjecture, and think are a few words that frequently replace the word reflect. All of these terms indicate "to utilize one's faculties of imagination, reasoning, or inference," but reflect denotes thoughtful deliberation over a memory that has just come to mind.

When light reflects off of something, it does so. The light will reflect at the same angle it struck the surface if the surface is smooth and shining, such as glass, water, or polished metal. Specular reflection is the name for this. A smooth surface allows light to bounce back at the same angle that it was incident.

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A sound traveling through air at 200 Hz has the same velocity as one traveling at 400 Hz.

The source determines the frequency of the sound wave. However, the density of the medium and the bulk modulus are the only factors that affect the speed of the sound wave. When compared to the speed of sound at 400 Hz, the speed of sound at 200 Hz is therefore constant.

Air and water have different sound propagation rates. The speed of sound in air is around 343 meters per second under normal circumstances, while the speed of sound in water is approximately 1,480 meters per second. Fundamentally, a compression wave moving through a medium is what makes up normal sound.

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Correct Question:

Compared to the velocity of a 400 Hz sound, the velocity of a 200 Hz sound through air is __________.

When the bubbling stops, what appears to be liquid is actually molten solid, which won't evaporate but could breakdown under extreme heat.

Particle are less closely packed in liquids than they are in solids. When maintained inside a container, liquids adopt that shape. Since there is a smaller room for movement among particles in liquid, compression is challenging. While liquids have a fixed volume, their shapes are not.

The significant difference in polarity between oxygen and hydrogen causes the water molecules to be dipolar. As a result, a tight hydrogen bond forms between the H & O of nearby water molecules, which explains why the water molecules are packed closely together.

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the wavelength of this electromagnetic radiation is 12.2cm.

Calculation :

The frequency, speed of light, and wavelength are interrelated with each other as:

fλ=c

f is 2.45GHz or 2.45∗10⁹Hz

λ=3∗10⁸/2.45∗10⁹

So, the wavelength of this electromagnetic radiation is 12.2cm.

Wavelength is the distance between identical points (adjacent peaks) in adjacent cycles of a waveform signal propagating in space or along a line. For wireless systems, this length is usually specified in meters (m), centimeters (cm), or millimeters (mm).

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In the same period of time, the horses on the outside of the carousel must travel farther than the ones on the inside. Accordingly, the horses outside move at a faster linear speed than the horses at the hub.

Every point on the surface of the merry-go-round revolves at exactly the same angular speed because it rotates as a single solid entity.

Which horse travels faster along a rail, one near the inside or one on the outside of a merry-go-round? neither because their linear speeds are equal.

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If an object weighs more than an equal volume of water, it is more dense and will sink, and if it weighs less than an equal volume of water, it is less dense and will float.

Heavy objects sink and light objects go with the flow irrespective of their size, form or the type of cloth used to lead them to. A true floating item ought to be wholly above the floor of the liquid.

All objects, even those that drift, displace some water. Mainly, while located in water, an item sinks into the water until it displaces an quantity of water same to its very own mass. The extra mass an item has, the in addition it sinks.

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The ball may fly up to a height of 27.56 feet. A ball is thrown up into the air, yet although though it rises into the air, the direction and velocity of the ball are actually downward.

As it rises, the ball's speed slows until the very apex of its motion, where it briefly pauses. At the peak, it accelerates at -9.8 m/s2.

the settings provided.

initial ball velocity (u) = 42 ft/s initial ball acceleration (a) = 32 ft/s2

The following formula is used to determine the ball's highest possible height:

v² = u²- 2gh

where;

When the ball is at its highest point, its velocity is zero.

0 = u² - 2gh

2gh = u²

The ball can therefore go a maximum height of 27.56 feet.

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