Two objects are at rest on a frictionless surface. Object 1 has a greater mass than object 2.
(a) When a constant force is applied to object 1, it accelerates through a distance d. The force is removed from object 1 and is applied to object 2. At the moment when object 2 has accelerated through the same distanced, which statements are true? (Select all that apply.)
1. K1 < K2
2. p1 > p2
3. p1 = p2
4. p1 < p2
5. k1 = K2
6. k1 > k2
(b) When a force is applied to object 1, it accelerates for a time interval Δt. The force is removed from object 1 and is applied to object 2. Which statements are true after object 2 has accelerated for the same time interval Δt? (Select all that apply.)
1. K1 > K2
2. p1 < p2
3. k1 < K2
4. k1 = k2
5. p1 > p2
6. p1 = p2
Linear Momentum & Kinetic Energy
To compare the momentum and kinetic energy of two objects, we need to know the mass of the object and the speed acquired by the moving object. To solve this problem, we need to take advantage of the work-energy theorem and the impulse-momentum theorem.
According to the work-energy theorem:
W
net
=
Δ
K
According to the impulse-momentum theorem, we write:
I
m
p
u
l
s
e
=
C
h
a
n
g
e
i
n
m
o
m
e
n
t
u
m
The momentum of the object is calculated by using the following formula:
|
→
p
|
=
m
v
The kinetic energy of the object is calculated by using the following formula:
K
=
1
2
m
v
2
where m
is the mass of the object, v
is the speed of the object, and K
is the kinetic energy of the object.

The direct interaction between two magnetic dipoles is referred to as magnetic dipole-dipole interaction, or dipolar coupling.

There are north and south poles on every magnet. The same poles repel one another whereas opposite poles are drawn to one another. The north-seeking poles of the iron's atoms line up in the same direction when it is rubbed against a magnet.

The laws of electromagnetism cause magnets to exert forces and torques on one another. Microcurrents of electrically charged electrons orbiting nuclei and the intrinsic magnetism of the basic constituent particles (such as electrons) that make up the material are what cause the magnetic fields that attract objects.

Today's technologically significant groups of materials, such as magnetic recording materials, magnetic carriers, and magnaflux sensors used to detect cracks, all depend on magnetic interactions.

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Answer:

[tex]d=4\frac{g}{cm^3}[/tex]

Explanation:

[tex]d=\frac{m}{v}\\m=20g\\v=5cm^3\\d=\frac{20g}{5cm^3}\\d=4\frac{g}{cm^3}[/tex]

It take light to travel 1.00 m in vacuum is 3.33 nano secs.

What is vacuum?

A space that is entirely devoid of matter a space that has been artificially partially (to the greatest extent possible) evacuated using an air pump. rarefaction at pressures lower than atmospheric pressure.

What is light ?

The electromagnetic radiation known as "light" is visible to the human eye. The wavelengths of electromagnetic radiation span a very large range, from radio waves with wavelengths measured in meters to gamma rays with wavelengths less than about 1 1011 meters.

apply C  =  S/t

so time t  =  1/3e8

t  =  3.33 nano secs.

Therefore,  it take light to travel 1.00 m in vacuum is 3.33 nano secs.

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FF=EvB=vEB=cv represents the relationship between the electromagnetism forces acting on the plates.

Electric force is the interaction of any opposite charges bodies that is either repellant or attracting. The impact and effects it has on the target body are outlined by Newton's theory, just like any other force. A number of forces affect objects, including the electric force.

Electric Forces as well as Their Types: Attractive and repulsive electrical forces are the two main types of electrical forces. Charges that are opposed to one another attract one another whereas those that are similar repel one another.

The magnetic force is always smaller as -  The magnetic field's strength is determined by the charge's velocity, such as the current flowing through a wire (v=a few cm/s), or by the distance from the source. a radius of an electron ([tex]r=10^-15[/tex]). The Magnetic-field is substantially smaller than the E-field unless there are electromagnetic waves (EM-waves), in which case the magnetic field is equivalent to the electric field.

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Normal forces are those that are directed upward force and stop the rider from falling downhill. The normal force is the pressure that surfaces provide to stop solid objects from piercing one another.

In touch, normal force is a force. Two surfaces cannot exert a normal force on one another if they are not in contact.

The Tornado is a roller coaster that features a vertical cylinder that spins quickly around its vertical axis. The rider is pushed against the inside wall of the cylinder by the rotation of the tornado, and the cylinder's floor falls away. Normal forces are those that are directed upward and stop the rider from falling downhill.

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The image is reversed when the magnification is negative. The rays on the far side of a converging lens diverge if the object is placed closer to it than the focal length allows.

Since a convex lens can create both virtual and physical images, it can provide either positive or negative magnification. For a virtual image, magnification is beneficial; for a real image, it is detrimental. A negative magnification might either be actual or imaginary.

An image that is magnified negatively is real since it is inverted. The picture is smaller than the object when the magnification is less than 1.

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This is the measure of the change in pressure from one point in a hydraulic system to another.

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Furthermore, as the spring is pushed down, the work done is stored as elastic potential energy. As a result, the total of elastic potential energy and gravitational potential energy will rise.

If an item is above (or below) the zero height, it has gravitational potential energy. If an item is at a position different than the equilibrium position on an elastic medium, it has elastic potential energy.

Gravitational potential energy is energy contained in a vertically held item. Elastic potential energy is stored energy in things that can be stretched or squeezed.

The amount of the force necessary to modify the length of a spring-like item.

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The vibrating energy carried from one to another via sound waves. The atoms in the tuning fork vibrate and transfer from one place to another. As a result, the situation is equivalent to analogous effect for light.

Light generated by resonant vibrations of an electron orbiting one atom can be absorbed by an electron in another atom with the same resonant frequency of vibration. In reality, visible "light" is a type of radiation, which is defined as energy that moves in the form of electromagnetic waves. It can alternatively be defined as a continuous flow of particle-like 'wave-packets,' known as photons, that travel at the speed of light (about 300 000 kilometres per second). Light waves emanate from a source. Each wave is composed of two parts: an electric and a magnetic component. That is why light is referred to be Electromagnetic Radiation.

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A represents the so-called sublimation of state. represents the evaporation, a state change. C stands for melting, a change of state.

A liquid turns into a gas through evaporation. Water vapor is created when liquid water evaporation turns it into a gas. Water is helped to evaporate and return to the atmosphere by the heat of the sun. There, it creates a cloud and returns to being water in the form of vapor.

Evaporation is the process by which liquid water transforms into gaseous water (water vapor). Water from the Earth's surface is carried into the atmosphere by evaporation. Evaporation occurs when heat energy causes the bonds holding the water molecules together to fall apart.

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The following formula can be used to determine a telescope's resolving power: Resolving power is calculated as 11.25 seconds of arc divided by d, where d is the objective's diameter in centimeters.  

A telescope can have one of three different powers. They are the ability to resolve, gather light, and amplify.

What is the telescope's power?

Divide the telescope's (in mm) focal length by the eyepiece's (in mm) focal length to calculate power (in mm).  You can modify the telescope's power by swapping out one eyepiece with one focal length for another.

The height of the image divided by the height of the object is known as magnification.

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The angle of incidence at the first mirror will this ray strike the midpoint of the second mirror is 34.6°

Two plane mirrors intersect at right angles. A laser beam strikes the first of them at a point d = 10.0cm from their point of intersection.

To strike the midpoint of the second mirror, the ray of light will have to travel half of the distance vertically

i.e. 29/2 = 14.5

We can solve this through trigonometry.

Let the angle between the ray and the vertical plane mirror is known as α

tan α = 10/14.5

α =  = 34.6°

The angle of incidence is the angle between the ray and the normal line of the mirror.

Let the angle of incidence of the first mirror be β

β = α = 34.6

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A 20-meter wavelength is 14.000 MHz to 14.350 MHz.

Wavelength can be defined as the distance between two consecutive peaks or valleys. Measured in the direction of the wave. The wavelength of light is an important property that determines the properties of light. Red light has a different wavelength than blue light, and green light has a different wavelength from both.

Wavelength is the distance between two wave crests and the same for wave troughs. Frequency is the number of oscillations that pass through a particular point in one second, measured in cycles per second. The wavelength of light is defined as the distance between two successive peaks or troughs of a light wave.

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The angular acceleration of the grindstone is 0.199 rad / s²and the number of turns, N, that the stone will make before coming to rest is 36.94 rev.

(a)To solve this, we will use Newton's second law for rotational movement, i.e. torque

   τ = I α

⇒ f × r = I × α

Now we write the translational Newton equation in the radial direction

  N- F = 0

⇒N = F

The friction force equation is

     f = μ N

 ⇒ f = μ F

The moment of inertia is

    I = ½ m r²

Let's replace in the torque equation

   (μ F) r = (½ m r²) α

   α = 2 μ F / (m r)

   α = 2 (0.2)15/ (91 × 0.33)

   α = 0.199 rad / s²

b) Using the relationship of rotational kinematics

   w² = w₀² - 2 α θ

   0 = w₀² - 2 α θ

   θ = w₀² / 2 α

Reducing the angular velocity,

   w₀ = 92 rpm (2π rad / 1 rev) (1 min / 60s) = 9.634 rad / s

   θ = (9.634)² / (2 × 0.199)

   θ = 232 rad

Reducing radians to revolutions

   θ = 232 rad (1 rev / 2π rad)

   θ = 36.94 rev

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The endothermic reaction now has the upper hand in the reaction's balance.

Endothermic reactions are chemical processes in which the reactants absorb heat energy from their surroundings to produce products.

Exothermic refers to chemical reactions that release energy. More energy is produced than is needed to break the bonds between the reactants when bonds are formed in exothermic process products. Chemical processes that can release or absorb energy are referred to as endothermic.

Endothermic chemical reactions are those that generally absorb (or use) energy. When bonds in the reactants are broken in endothermic reactions, more energy is absorbed than is released when new bonds are formed in the products.

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Solar thermal and photovoltaic (PV) are two different technologies used to harness energy from the sun. Solar thermal systems use the sun’s rays to heat water or air while PV systems convert sunlight directly into electricity.

Both technologies have similarities and differences, and each can be used in various applications. The most important similarity between solar thermal and photovoltaic systems is that they both use the sun’s energy to produce energy. In both cases, the sun’s rays are converted into usable energy. Solar thermal systems use the sun’s heat to heat water or air, while PV systems use the sun’s light to generate electricity. Both systems are also relatively easy to install and maintain, and require little to no additional energy input.

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The less electronegative element is more likely to receive the unpaired electron.

A Lewis Structure is a very simplified representation of the valence shell electrons in a molecule. It is used to show how the electrons are arranged around individual atoms in a molecule. Electrons are shown as "dots" or for bonding electrons as a line between the two atoms.

A free radical can be defined as an atom or molecule containing one or more unpaired electrons in valency shell or outer orbit and is capable of independent existence.

An electron, in an atomic orbital, for which there is no other electron in the same orbital but with opposite spin; a characteristic of free radicals and other reactive species.

Electronegativity is a chemical property that describes the tendency of an atom or a functional group to attract electrons toward itself.

A more electronegative element is more likely to be surrounded by more electrons and fulfill its octet. A less electronegative element is more likely to have the electron deficiency, in this case the unpaired electron.

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Yes this statement is true about electrical resistance circuit.

What is electrical resistance?

electrical resistance is a force that counteracts the flow of current.

Sol- when two lamps are connected in parallel to a battery, the total electrical resistance that the battery senses is more than the resistance of either . Beacuse In a parallel circuit each bulb is in its own circuit. As bulbs are added the resistance in the circuit decreases since each circuit is another pathway for electrons to move from one end of the circuit to the other.when two lamps are connected in series to a all the  battery the electricals resistance that the battery's senses is the more than the resistence of either lamp.

As each bulb is connected in parallel to the battery, each has the same potential difference across it as the all of  voltage across the battery of the  terminals. All other to the potential differences are zero, as all the wires have to the zero resistance.

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Explanation:

The liquid refrigerant evaporates in the indoor evaporator coil, pulling heat out of indoor air and cooling your home. The hot refrigerant gas is pumped outdoors into the condenser where it reverts back to a liquid, giving up its heat to the outside air flowing over the condenser's metal tubing and fins.

The answer is C = 1/R = 12.346

Solution:

1/R(5) = 1/0.405

1/R = 5/0.405

C = 1/R = 12.346

The time constant of an inductive circuit is the time it takes for the voltage across the inductor to reach 63% of its initial value. If a fraction of the total flux is linked between two coils, the amount of flux linkage can be defined as the fraction of the total flux linkage possible between the coils.

This fractional value is called the coupling coefficient and is given the letter k. An argument is deductive if the argument believes that the truth of the premises reliably establishes the truth of the conclusion. An argument is inductive if the argument believes that the truth of the premises only provides good reason to believe that the conclusion is likely to be true.

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The maximum difference in potential energy would be [tex]ΔE max​ =8.12×10 −4 eV[/tex]

The energy that is held in an object as a result of its position in relation to a zero position is known as potential energy, to put it simply. If an object is placed at a height above (or below) the zero height, it has gravitational potential energy.

Energy that is conserved or stored in a substance or object is known as potential energy. The position, organization, or state of the object or substance determines the amount of stored energy.

It can be pictured as energy with the "potential" to perform labor. The energy will be released when the object's position, configuration, or state changes.

For instance, compressing a spring costs energy. However, what happens to that energy once the spring has been compressed? After all, we are aware that energy can only be changed from one form to another; it cannot be generated or destroyed.

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The composition of the solution in terms of mole fraction will simply be equal to the mole fraction of the volatile liquid.

It is given that the liquid a is volatile and b is non-volatile. Since the solute a is not volatile, the mole fraction of the solute is not to be taken into account for. Being non-volatile, the liquid aa will not be contributing to the partial pressure. Hence, the partial pressure will only depend on the mole fraction of b which is given to be volatile.

Therefore, here we will only have to consider the mole fraction of the volatile liquid b and not the involatile liquid a.

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Quotas benefit and protect producers of goods in the domestic economy but consumers end up paying more when domestically produced goods cost more than imported goods.

Countries sometimes impose quotas on certain products in order to reduce imports and increase domestic production. In theory, quotas increase domestic production by limiting competition with foreign countries. Government programs that enforce quotas are often referred to as protectionist policies.

Import quotas restrict market access for imported products. The result is usually higher domestic prices paid by consumers. This leads to lower consumer surplus and lower real incomes. It may also reduce the choice consumers have in the market. A policy of reducing quantities is called a quota which is a government-imposed limit on the number of goods that can be bought or sold.

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The gravitational field produced by the Sun, Earth, Moon, and other planets extends throughout space. However, the gravitational pull of that distance diminishes.

What is gravitational pull?
The attraction that the earth has on something or that something has on the earth is known as the gravitational pull of a earth. It can be calculated using the object's mass, Earth's mass, the separation between the object's and Earth's centres, and the universal gravitational continuous, a proportionality constant that has been precisely measured. It is 6.674 x 10-11 in size. The weight of an item on the earth's surface is one of the most typical illustrations of this pull.

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The radio antenna broadcasts a 1M Hz radio wave with 25 kW power.

1) The wave's intensity 30 km from the antenna is 8.842 * 10⁻⁶ W/m².

2) The electric field amplitude at this distance is 81.4 V/m.

The intensity of wave equation is given as

I = P/4πr²

where P is the power of radio wave (25 * 10³ W)

r is the distance from the source (30 * 10³ m)

I = (25 * 10³) / 4π (30 * 10³)² = 0.0000088419 W/m² = 8.842 * 10⁻⁶ W/m²

The relation between intensity of the wave and the electric field is given as

I = 0.5 * c * ε₀ * E²

where, c is the speed of light

ε₀ is the electric permitivity

E is the electric field

Now, let us make E as the subject,

E = √(2I/c ε₀) = √(2 * 8.8 * 10⁻⁶)/(3 * 10⁸ * 8.85* 10⁻¹²) = √(17.6 * 10⁴ / 26.55) = 0.814 * 10² = 81.4 V/m

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The property that makes the radio waves to travel over a very large distance is the fact that it has a long wavelength.

We know that radio communication have given birth to the modern communication gadgets that we have now that involves the fact that we can be able to send signals over a very long distance.

It should be noted that the use of the radio waves is made quite easy because the radio waves can be able to travel across a very large distance and can be able to move at a very fast pace from one place to the other.

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Answer:

Explanation:

a

The pressure tends to zero pascals when the gas volume approaches very high volumes. On the other end of the graph, we can observe that the pressure tends to infinity as the volume decreases towards zero.

Volume and pressure are inversely related. Therefore, the volume will decrease as the pressure does, and vice versa.

Now, as the volume gets closer to zero, the pressure will dramatically rise and eventually tend to infinity. At v=0, the pressure-volume curve will asymptote.

As a result, when the volume comes to zero, the pressure will tend to infinite.

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90 rad/s  (Nearly)

Given that, mass, m=0.14 kg

Ball is released from rest at a height of,  h= 0.83 m

Solid sphere of radius, R = 3.8 cm

                                       =0.038 m  

From the conservation of  energy

                          ΔK  = ΔU  

1/2 mv2 +   1/2 Iω2   = mgh

Here,  I=2/5MR2  ,  v=Rω

1/2 mv2 + 1/2 (2/5mR2)(v/R)2  =mgh

                          1/2 [v2 +2/5 v2] =gh

                           7/10 v2 = gh

                            0.7v2 = gh

                                  v =√ [gh / (0.7) ]

                                     =√ [(9.8 m/s2)(0.83 m) / (0.7) ]  

                                     = 3.408 m/s

Hence, angualar speed when it is on the frictionless side of the track,

                                  ω= v/R

                                     = (3.408 m/s)/(0.038 m)

                                     = 89.7 rad/s

                                     ˜ 90 rad/s  (Nearly)

Friction is a force, the resistance of movement whilst one object rubs in opposition to any other. every time  gadgets rub against each different, they reason friction.

Friction works against the motion and acts in the opposite route. the quantity of friction depends at the substances from which the two surfaces are made.

The frictional pressure itself is directed oppositely to the motion of the item. due to the fact the friction to date described arises between surfaces in relative motion, it's miles referred to as kinetic friction. Static friction, in assessment, acts between surfaces at rest with respect to each different.

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A solid body rotating about an axis has rotational kinetic energy that is proportional to both its moment of inertia and its angular speed of rotation about the axis.

The formula is: K=(1/2)I[tex]w^{2}[/tex]

The most straightforward form of rotational motion is a circle rotating around an axis. The rotational kinematics equations then resemble the linear kinematics equation:

θ [tex]= w_{i} t + \frac{1}{2} \alpha t^{2}[/tex]

[tex]w_{f} = w_{i} + \alpha t[/tex]

where α is the angular acceleration,

ω is the angular speed,

θ is the angle traveled and

t is the time.

Given data:

Mass of the disk, [tex]m_{d}[/tex]=3.3 kg

The radius of the disk, R=0.26m

Mass of the rod, [tex]m_{r}[/tex]=1.2 kg

Length of the rod, L=0.72 m

a) Think about the equation used to calculate the rod's moment of inertia.

[tex]I_{rod}[/tex] = [tex]\frac{1}{3} m_{r} L^{2}[/tex]

Calculate the moment of inertia of each rod about the axis of rotation.

[tex]I_{rod}[/tex] = [tex]13 * (1.2) * (0.72)^{2}[/tex]

[tex]I_{rod}[/tex] = [tex]0.207 kg m^{2}[/tex]

b) A disk's moment of inertia around an axis that passes through its center and is perpendicular to the disk is:

[tex]I_{disk}[/tex] = [tex]\frac{1}{2} m_{d} R^{2}[/tex]

We have,

[tex]I_{disk}[/tex] = [tex]\frac{1}{2} (3.3) (0.26)^{2}[/tex]

[tex]I_{disk}[/tex] = [tex]0.112 kg m^{2}[/tex]

c) The entire ceiling fan's moment of inertia.

[tex]I_{fan} = 5 I_{rod} + I_{disk}[/tex]

[tex]I_{fan} = 5 (0.207) + 0.112\\I_{fan} = 1.147 kg m^{2}[/tex]

d) Here we are given the angle covered and the time for it.

We can find the angular acceleration from the formula:

θ = [tex]\frac{1}{2} \alpha t^{2}[/tex]

We have:

θ = 13 rev

θ = 13(2π) rad

θ = 26π rad ≈ 81.68 rad

Therefore we have:

[tex]\alpha = 2[/tex]θ / [tex]t^{2}[/tex] = [tex]\frac{2(26\pi )}{3.1^{2} }[/tex] = 17 rad / [tex]s^{2}[/tex]

e) To find the final angular velocity of the fan we have:

[tex]w_{f} = w_{i} + \alpha t[/tex]

Substitute [tex]w_{i}[/tex] = 0, [tex]\alpha[/tex] = 17 rad / [tex]s^{2}[/tex], and t=3.1s in the above expression:

[tex]w_{f} = 0 + 17 (3.1)[/tex]

[tex]w_{f} = 52.7 rad / s[/tex]

f) Consider the formula used to calculate the final rotational kinetic energy of the fan.

K = [tex]\frac{1}{2} I_{fan} w_{f}^{2}[/tex]

Substitute the values.

K = [tex]\frac{1}{2} (1.147) (52.7)^{2}[/tex]

K = 1593 J

g) The spinning energy of the fan decreases by half when it is adjusted to a lower speed.

This can give us angular speed.

[tex]K_{f} = \frac{K}{2}[/tex]

[tex]K_{f} = \frac{1593}{2}[/tex]

[tex]K_{f} = 796.5 J[/tex]

Calculate the final angular speed of the fan.

[tex]K_{f} = \frac{1}{2} I_{fan} w_{f}^{2}[/tex]

[tex]w_{f} = \sqrt{\frac{2K_{f}}{I_{fan} } }[/tex]

Substitute the values.

[tex]w_{f} = \sqrt{\frac{2(796.5)}{1.147} }[/tex]

[tex]w_{f} = 37.3 rad / s[/tex]

h) The angular acceleration is calculated when the fan slows down by

[tex]w_{f} = w_{i} + \alpha t[/tex]

[tex]\alpha[/tex] = [tex]\frac{w_{f} - w_{i} }{t}[/tex] = [tex]\frac{37.3 - 52.7}{3.1}[/tex] = − 4.97 rad / [tex]s^{2}[/tex]

Therefore, the magnitude of the angular acceleration is:

|[tex]\alpha[/tex]| = 4.97 rad / [tex]s^{2}[/tex]

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If Pavg = Fvavg, Given that we are attempting to find the velocity and the equation P = Fs/t states that the P (power) produced by the F (force) is: P = Fv, If the force F is constant and the object's speed is constant, then

The velocity of an object or a body movement determines its direction. Speed is often a scalar quantity. Mass and velocity quantity in its most basic form. It gauges the rate of change in a distance. It relates to how quickly displacement is altering.

From the query, we learn that

The average power is mathematically denoted by the following expression:

[tex]P_{avg} = \frac{P}{delta (t)} \\[/tex]

Where W =  Workdone ,

which is  mathematically represented as - [tex]\\W = FX s[/tex]

F is the applied force, and s is the force-related displacement.

So,

[tex]P_{avg} = \frac{F X s}{delta (t)} \\[/tex]

 displacement can be represented mathematically as

[tex]= > s = v_{avg} X delta(t)[/tex]

[tex]P_{avg} = \frac{F X v_{avg} X delta(t)}{delta (t)} \\\\P_{avg} = F X v_{avg}[/tex]

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