170 students sit in an auditorium listening to a physics lecture. Because they are thinking hard, each is using 125 W of metabolic power, slightly more than they would use at rest. An air conditioner with a COPof 5.0 is being used to keep the room at a constant temperature. What minimum electric power must be used to operate the air conditioner?

Data provided in the question:

Initial depth of the submarine, d = 120 m

Density of water, ρ = 1.03 kg/m³

Now,

Pressure due to water = ρgh

here,

g is the acceleration due to gravity = 10 m/s²

h = height of water above

So,

Increase in pressure = ρgD - ρgd

= ρg(D - d)

= 1.03 × 10 × (120)

= 1236 Pa

Therefore, the total pressure of the submarine is 1236 Pa.

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The Newton's first law is demonstrated over here.

If the wrench is thrown then that wrench will keep on moving in the space.

As we all no space has no gravity and since there is no gravity, hence, no force is applied on that body.

The wrench will move freely in the space and will continue to move in same direction until there is some external force is applied to stop or change its direction.

This shows that over here the Newton's first law is applied.

The Newton's first law states that the body will continue to be in the same state or motion and will not change until the external force is applied on it.

This Newton's first law is also known as law of inertia.

Therefore, the wrench will continue to move in the same direction under the influence of Newton's first law.

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Due to the weight of the water on the body that is submerged, the pressure is higher at the bottom and lower at the surface.

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The mass of the planet and star is [tex]2.4 *10^{25}[/tex] kg and [tex]1.2 * 10^{31}[/tex] kg respectively.

Acceleration due to gravity is the force experienced per unit mass of an object due to gravitational force and it is given by:

[tex]a = \frac{GM_{planet} }{r^{2} }[/tex]

[tex]19.5 =\frac{6.67 * 10^{-11} * M_{planet} }{(0.9 * 10^{7}) ^{2} }[/tex]

[tex]M_{planet} = 2.4 * 10^{25}[/tex] kg

Now this planet orbits a star and so we can use Kepler's Third Law to find the mass of the star.

[tex]T^{2} = \frac{4\pi ^{2} }{GM_{star} } r^{3}[/tex]

T = 402 earth days = 60 x 60 x 24 x 402 = 34732800 seconds

[tex]34732800^{2} = \frac{4\pi ^{2} }{6.67 * 10^{-11} M_{star} } (2.9 * 10^{11}) ^{3}[/tex]

[tex]M_{star} = 1.2 * 10^{31}[/tex] kg

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The mass of the star of the distant solar system is 82 * 10²² kg and the mass of the planet of the distant solar system is 8.58 * 10²⁵ kg

g = G M / r

g = Acceleration due to gravity

G = Gravitational constant

M = Mass of star

r = Distance between both bodies

g = 63.6 m / s²

G = 6.67 * 10⁻¹¹ N m² / kg²

r = 8.6 * 10¹¹ m

Ms = 63.6 * 8.6 * 10¹¹ / ( 6.67 * 10⁻¹¹ )

Ms = 82 * 10²² kg

F = G M m / r²

F = m g

Equating,

m g = G M m / r²

Mp = g r² / G

Mp = 63.6 * ( 1.8 * 10⁷ / 2 )² / 6.67 * 10⁻¹¹

Mp = 8.58 * 10²⁵ kg

Therefore the mass will be equal to 8.58 * 10²⁵ kg

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Answer:

Q = Q0 e^-t/RC = Q0 e^-t/T

Charge left on capacitor after time t where T is the time constant of the capacitor - R * C

Q / Q0 = .9          charge decreases by 10%

.9 = e^-t/T

ln .9 = -t / T = .10

Or t = -T * ln .9

When elapsed time t = -ln .9 * time constant

The calculated value is 5.6 m. Much more frequently than sound intensities in watts per square meter, sound intensity levels are expressed in decibels (dB).

Both the scientific literature and the public media use decibels as their preferred measurement unit. The rationale behind this decision of units has to do with how we hear. Noise exposure is harmful to the hearing, and it is normal for musicians to suffer from hearing loss that is so severe that it affects their ability to play. Sound intensity, a term that applies to all noises, whether or not they are heard, is the pertinent physical quantity.

We are given Δp, so we can calculate I using the equation I=(Δp)22ρv . Using I , we can calculate β straight from its definition in β (dB)=10 log10(II0) β (dB)=10 log10(II0) .

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The resulting acceleration of proton, compared to the electron's acceleration is in the opposite direction and at a similar rate.

Acceleration is a vector quantity that has elements in both the x- and y-axes. The final acceleration of the item can be calculated by calculating the vector's magnitude and direction.

The proton will accelerate in the opposite direction and at a similar rate because its mass is greater than that of the electron. The acceleration of the proton, however, is less than that of the electron.

In conclusion, the proton's subsequent acceleration would be smaller in amplitude and in the opposite direction from the electron's.

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Mechanical waves and electromagnetic waves are the two major modes of energy transportation on Earth. Air and water waves produced by sound are examples of seismic wave.

Electromagnetic waves, as opposed to physical phenomena, may move across empty space. This suggests that pulses may travel through void spaces as well as through solid substances like air and rock.
Since their wavelengths are measured in millimeters, microwaves are shorter than radio waves. Microwaves are used in radar that aids in weather forecasting, food preparation, and information transmission. Because they can pass through smoke, clouds, and light rain, microwaves are useful for communication.

Infrared waves lie between microwaves and visible light. There are two subcategories of infrared waves: near infrared and far infrared. The waves with wavelengths closest to visible light are known as near infrared waves. Your television remote uses these infrared radiation to change channels.

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This causes a force to be exerted on the electrons in coil 2, resulting in induced current flowing in the opposite direction.

What is force?
A force is indeed an influence that can alter an object's motion according to physics. A force may cause an object to mass to accelerate when it changes its velocity, such as when it moves away from rest. An intuitive way to describe force is as a push or even a pull. A force is a vector quantity because it has both direction and magnitude. It is calculated using the newton SI unit (N). Force is denoted by the letter F. (formerly P). The net force acting on an object seems to be equal to the speed that its momentum changes over time, according to Newton's second law in its original formulation.

The induced current in coil 2 will be in the opposite direction as the current in coil 1. This is because when the switch for coil 1 is closed, current will start flowing through coil 1. This will create a magnetic field around coil 1, which intersects with the magnetic field around coil 2. This causes a force to be exerted on the electrons in coil 2, resulting in induced current flowing in the opposite direction.

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1)Now as we increase more bulb in series n increase to (n+1),so the total resistance of the circuit increases.

2)Current increases if number of bulb in series decreases.

Equivalent of the circutes

R=∑P=nn

so resistence increases

i=V/R=V/nn

current i'=V/n'R

i'/i=n/n'

since n'>n

i'<i

so current increases

Resistance is the degree to which a substance obstructs or opposes an electric current. Electron flow is referred to as electric current. To better understand resistance, imagine how difficult it would be for a person to move from one shop to another in a crowded market. The opposition a substance provides to the flow of electrical current is referred to as resistance. The capital letter R is used to symbolize it. The ohm, sometimes written as a word and sometimes represented by the uppercase Greek letter omega, is the commonly used unit of resistance.

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According to the given statement a river has an average  3 * 10⁵ W  is its discharge.

The scalar metric of speed and direction of motion is known as velocity. The speed that an object goes in one side is known as its velocity. Speed may be used to calculate both the vehicle speed traveling north just on main freeway and the velocity of a explosion bursting in space.

Water's speed is 2 m/s.

Flow area = 5m x 15m = 75m²

Water has a density of 1000 kg/m³

The volume of water flowing per second in the continuity equation is written as v=Av.

Hence, mass of water m=vρ=Avρ

K.E. = 1/2 mv² = 1/2 Avρ²

K.E.  = 1/2 Avρ³

ρ =  1/2 Avρ³

ρ  = 1/2 * 75 * (2)³ * 1000

ρ = 3 * 10⁵ W

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Answer:

A A A A. a. a a a a a a a

Explanation:

a is the answer

The rate of change (magnitude and direction) of its angular momentum at this instant is  115 kg m/s².

The rate of change of angular momentum is equal to the net torque acting on the rock. The only force acting on the rock is the weight of the rock that is, mg.

As torque is equal to the product of the tangential component of force (

and distance (r) from the axis of rotation to the line of force, the net torque acting on the rock is,

Here, r is the distance from point O to the line of force.

This torque is equal to the rate of change of angular momentum of the rock.

Calculation:-

torque = mgcosθ

          τ = mgrcosθ

             = 115 kg m/s²

The magnitude of angular momentum is 115 kg m/s².

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The correct option is (c) andromeda galaxy as it was originally classified as nebula.

A nebula is a distinctively luminous region of the interstellar medium, which is mainly made up of of cosmic dust, neutral, neutrally ionised, or molecular hydrogen. Nebulae are usually areas where stars develop.

Initially, any diffused astronomical object, including galaxies outside the Milky Way, was referred to as a "nebula."

Before Vesto Slipher and Edwin Hubble revealed the real nature of galaxies in the early 20th century, the Andromeda Galaxy, for instance, was originally known as the Andromeda Nebula.

So, Andromeda Galaxy was originally classified as nebula.

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The total resistance of the four resistors connected in parallel is 0.762 ohms.

To calculate the total resistance of the four resistors connected in parallel, we use the formula below.

Formula:

Where:

From the question,

Given:

Substitute these values into equation equation 1

Hence, the total resistance is 0.762 ohms.

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The displacement would be approximately 2.83 meters.

What is displacement?
A displacement is indeed a vector in geometry as well as mechanics that has a length equal to the shortest distance between a point P's initial and final positions. It measures the length and angle of the net motion, or total motion, in a straight line from the starting point to the destination of the juncture trajectory. The translation that links the starting point and the ending point can be used to spot a displacement. The finishing position xf of the a point relative towards its initial position xi, or a physical location (resulting from of the motion), is another way to describe a displacement. The difference between both the final and initial positions can be used to define the corresponding displacement vector:

The spring's new displacement at equilibrium depends on the angle of the incline. Since the incline is 30 degrees, the displacement of the spring at equilibrium can be found by using the following equation:

Displacement = (mass * gravity * sin(incline angle)) / spring constant

In this case, the displacement would be (5.2 kg * 9.8 m/s2 * sin(30))/ spring constant. Plugging in the values we know, the displacement would be approximately 2.83 meters.

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The potential difference between the plates of a parallel-plate air capacitor of capacitance 245 pf has a charge of magnitude 0.148 μC on each plate is 604 V

Q = C V

Q = Charge

C = Capacitance

V = Potential difference

Q = 0.148 μ C

Q = 0.148 * 10⁻⁶ C

C = 245 pF

C = 245 * 10⁻¹² F

V = Q / C

V = ( 0.148 * 10⁻⁶ ) / ( 245 * 10⁻¹² )

V = 604 V

Voltage, also known as electric pressure, electric tension, or potential difference, is the difference in electric potential between two points. In a static electric field, it corresponds to the work needed per unit of charge to move a test charge between the two points.

Therefore, the potential difference is 604 V

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The flow rate is 3.1175×10⁻³ m³/s.

Explanation:

By using Bernoulli's principle:

where the pipe is horizontal,

x₁ = x₂ hence the above equation becomes

since the flow rate is constant then

Q = v₁A₁ = v₂A₂

Where is the area of the two sections given by A₁ = π·D₁²÷4 and

A₂ = π·D₂²÷4

Therefore, A₁ = π·0.08²÷4 = 5.02×10⁻³ m²

and, A₂ = π·0.05²÷4 = 1.96×10⁻³ m²

v₁ = v₂A₂/A₁ =0.391×v₂

The given pressures are P₁ = 33.0 kPa and P₂ = 25.0 pKa and

ρ = 1000 kg/m³

By putting the values into the above equation we get,

33.0 kPa +0.5× 1000 kg/m³× (0.391×v₂)² = 25.0 pKa +0.5×1000 kg/m³×v₂²

= 33000+76.3·v₂² =25000+500·v₂²

=33000-25000

or 423.706·v₂² = 8000

v₂² = 8000/423.706 = 18.88 or  v₂ = 4.065 m/s and  v₁ 0.391×4.065 = 1.59 m/s

The flow rate = v₂A₂ = 1.59×1.96×10⁻³ = 3.1175×10⁻³ m³/s

Hence, Q= 3.1175×10⁻³ m³/s

The volume rate of flow is Q= 3.1175×10⁻³ m³/s.

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The flow rate is 3.1175×10⁻³ m³/s.

Bernoulli's principle states that an increase in the speed of a fluid (such as air or water) results in a decrease in pressure. This is due to the fact that faster-moving fluids have lower pressure, while slower-moving fluids have higher pressure. This principle is also applicable to the behavior of objects moving through a fluid. The faster the object moves, the lower the pressure around it. This is why objects like planes and boats are able to "fly" or "float" because the decrease in pressure around them causes a lift. The principle is named after the Swiss mathematician and physicist Daniel Bernoulli, who first described it in 1738.

By using Bernoulli's principle:

where the pipe is horizontal,

x₁ = x₂ hence the above equation becomes

since the flow rate is constant then

Q = v₁A₁ = v₂A₂

Where is the area of the two sections given by A₁ = π·D₁²÷4 and

A₂ = π·D₂²÷4

Therefore, A₁ = π·0.08²÷4 = 5.02×10⁻³ m²

and, A₂ = π·0.05²÷4 = 1.96×10⁻³ m²

v₁ = v₂A₂/A₁ =0.391×v₂

The given pressures are P₁ = 33.0 kPa and P₂ = 25.0 pKa and

ρ = 1000 kg/m³

By putting the values into the above equation we get,

33.0 kPa +0.5× 1000 kg/m³× (0.391×v₂)² = 25.0 pKa +0.5×1000 kg/m³×v₂²

= 33000+76.3·v₂² =25000+500·v₂²

=33000-25000

or 423.706·v₂² = 8000

v₂² = 8000/423.706 = 18.88 or  v₂ = 4.065 m/s and  v₁ 0.391×4.065 = 1.59 m/s

The flow rate = v₂A₂ = 1.59×1.96×10⁻³ = 3.1175×10⁻³ m³/s

Hence, Q= 3.1175×10⁻³ m³/s

The volume rate of flow is Q= 3.1175×10⁻³ m³/s.

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The size of the tidal bulges increases as the Moon moves closer to the Earth in its orbit, when it is in the new moon or full moon phase, and decreases as it moves away from the Earth in its orbit, when it is in the first quarter or third quarter phase.

What is tidal bulges?
The fluid and moveable ocean water is drawn towards the moon by the gravitational influence between the moon as well as the Earth. The ocean closest to the moon experiences a "bulge" as a result, as the Earth rotates, the affected waters' locations shift. Imagine the moon as just a magnet drawing the water to it. The force of intertia, which tends to keep an object moving inside a straight line, opposes this motion of the water in the direction of the moon. Our oceans' motion is balanced by this, but since the gravitational pull seems to be stronger, the resulting force also creates our tides.

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The true velocity and direction of the boat is 67knots, 42degree.

Velocity is the directional pace of an item in motion as an indication of its rate of exchange in the role as determined from a selected frame of reference and as measured by way of a selected standard of time.

Average velocity is calculated by means of dividing your displacement (a vector pointing out of your initial role in your final position) through the entire time; the average pace is calculated by way of dividing the overall distance you traveled by means of the total time.

Calculation:- 

velocity of boat = 54 knots

direction =  48°

wind speed = 14 knots

direction =  20°.

The true velocity and direction of the boat is 67knots, 42degree

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Answer:

67 knots; 42°

Explanation:

I took  the test and got it right:)

The  materials arranged in order lowest to highest abundance are as follows

Metals> Rocks> Hydrogen compounds >Hydrogen and Helium

The solar nebula begins as a thin gas of hydrogen and helium that is covered in little dust specks. The planets' building blocks are these little grains. Any gas cloud's development depends significantly on the movement of dust particles. These grains serve as the condensation nuclei on which matter accretes.

The solar nebula is composed of 98% light gases, including hydrogen and helium, which were created during the Big Bang. Next, 1.4% of hydrogen compounds, such as water, methane, and ammonia, were found. Finally, 0.4% of rocks, such as silicates, and 0.2% of metals, such as iron, nickel, and aluminum, were found.Due to the intense heat, only metals and rocks could condense in the nebula's interior, while hydrogen compounds, despite being more prevalent, could only do so in the cooler outer regions.

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Answer:

6.298 m/s

Explanation:

[tex]F_{net} =ma[/tex]

[tex]F_F=u_k*F_N[/tex]  friction force equation

[tex]ma=mgsin(x)-umgcos(x)[/tex]

We are given

[tex]m=10\\g=9.81\\F_F=16\\V_i=0[/tex]

[tex]umgcos(x)=F_F[/tex]

[tex]u*10*9.81*cos(x)=16[/tex]

[tex]u=0.18833036[/tex]

[tex]ma=mgsin(x)-umgcos(x)[/tex]

[tex]10*a=10*9.81*sin(30)-0.18833036*10*9.81*cos(30)[/tex]

[tex]a=3.305[/tex]

[tex]V_{f} ^{2} =V_{i} ^{2}+2ax[/tex]

[tex]V_{f} ^{2} =0 ^{2}+2*3.305*6[/tex]

[tex]V_f=6.298[/tex]

These forces will produce a resultant force with the greatest magnitude when angle between them is 0° .

When an object with mass is pushed or pulled, it changes its velocity, according to the definition of force in physics.

Force is an external agent that has the power to alter a body's resting or moving condition. It has a size and a movement. The direction of the force is referred to as the force's direction, and the application of force is the place at which the force is applied.

Given that: two 20. newton forces act concurrently on an object.

If the angle between the forces is α then resultant force be:

= √(20² + 20² +2.20.20cosα)

Hence, these forces will produce a resultant force with the greatest magnitude when angle between them is 0° and the  the greatest magnitude of resultant force be 40 N.

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Intensity of light is a measurement of the amount of power either emitted or reflected by a source, and it can be calculated using either the total wave output, luminosity, or brightness. passing through polarized sheets

How to calculate intensity of light passing through polarized sheet ?

The intensity of unpolarized light , Iⁿ = 28 W/m²

The intensity of light passing through, I¹= 0.5 × Iⁿ

I¹ = 14 W/m²

The intensity of light passing through the second polarizer , I² = I¹ × (cos(theta1 + 90 - theta2) )²

I² = 14 × cos^2(40 + 90 - 20) W/m²

I² = 1.64 W/m²

The intensity of light passing through the third polarizer , I³ = I²× (cos(180 - theta2 - theta1) )²

I³ = 1.64 × cos^2(180 - 20 - 20) W/m²

I³= 0.962 W/m²

The intensity of light passing through the fourth polarizer , I⁴= I³ ×(cos(theta3 + 90 + theta4) )²

I⁴ = 0.962 * cos^2(28 + 90 + 20) W/m²

I⁴ = 0.53 W/m²

The intensity of the light that emerges from the system is 0.53 W/m²

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The supplied statement states that perhaps the system's light output has a 0.53 W/m² intensity.

The rate at which a wave moves over just a substrate in a given amount of time and space is referred to as its intensity. It is additionally equal to the wave speed times the power density. It is commonly evaluated in Watts per square meter. The intensity of a beam depends on its height and power.

Here,

The intensity of unpolarized light , I0 = 28 W/m²

The brightness of the light that comes through I1 = 0.5 * I0

I1 = 14 W/m²

Light output through to the second polarizer, measured in intensity,

I2 = I1 * (cos(∅1 + 90 - ∅2) )²

I2 = 14 * cos²(40 + 90 - 20) W/m²

I2 = 1.64 W/m²

Light output through the third polarizer, in terms of intensity I3 = I2 * (cos(180 - ∅2 - ∅1) )²

I3 = 1.64 * cos²(180 - 20 - 20) W/m²

I3 = 0.962 W/m²

The fourth polarizer's ability to intensify light,

I4 = I3 * (cos(∅3 + 90 + ∅4) )²

I4 = 0.962 * cos²(28 + 90 + 20) W/m²

I4 = 0.53 W/m²

The process delivers sunlight that has a 0.53 W/m² intensity.

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The complete question is-

In the figure, unpolarized light with an intensity of 28.0 W/m2 is sent into a system of four polarizing sheets with polarizing directions at angles θ1 = 40.0˚, θ2 = 20.0˚, θ3 = 20.0˚, and θ4 = 28.0˚, What is the intensity of the light that emerges from the system?

Answer: The internal energy within a system associated with the motion of particles and that can be added to a substance is called kinetic energy.

Reason:

Internal energy U of a system or a body with well-defined boundaries is the total of the kinetic energy due to the motion of molecules and the potential energy associated with the vibrational motion and electric energy of atoms within molecules.

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The intensity level of sound 2 is 63.386 W/m².

Intensity of sound 1 = 40.0 W/m²

Intensity of sound 2 = 2.0 dB

We know that I₁ = 10⁻¹² W/m²

Intensity level of sound 2 =

= Using the equation of the sound level intensity

= Iₓ = 10log (I/I₁)

= Iₓ = 10 log(40/ 10⁻¹²)

= Iₓ = 136.02 dB

Given that intensity of sound 2 is greater than sound 1 by 2.0 dB

Thus,

= Iₙ = 136.02 + 2.0

=  Iₙ = 138.02 dB

To calculate intensity of sound 2 =

= I₂ = 10log(Iₙ / 10⁻¹²)

= I₂ = 63.386 W/m²

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Answer:

Explanation:

what are the multiple answers -.-?

Answer:

2.4 n

Explanation:

The force of kinetic friction between the block and the floor is given by:

where

is the coefficient of kinetic friction

N is the normal reaction of the floor against the block

For a horizontal surface (as in this case), the normal reaction is equal to the weight of the block, so . For wood-wood contact, the coefficient of kinetic friction is approximately . Therefore, the force of kinetic friction between the block and the

The muscle force on the calcaneus is -14.41 N

Forces are external factors that change the state of the body at rest or in motion. It has size and direction. The direction in which the force acts is called the direction of the force, and the point at which the force acts is called the point of action of the force. It's SI unit is the Newton (N). A force vector F has magnitude, direction, and orientation.

As the foot is in equilibrium it means that the net force is zero, the equation for this system is as follows:

N + F + W = 0

-N -F = W

Where,

N = Normal (10 N)

F = Muscle force

W = Weight

W = m × g

W = 0.45 × 9.8

W = 4.41 N

Now substitute the values in following equation:

-N -F = W

-10 -F = 4.41

-F = 4.41 + 10

-F = 14.41

F = -14.41 N

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With a force of f, two charged particles repel one another. The force will be F/2 if only one particle's charge is doubled and the distance in them is likewise doubled.

A force of this magnitude can be described as a push or a pull, which is perfectly fine. A force does not "exist in" or "contain" an object. A force from another can exert pressure on something. The concept of a force makes no distinction across living creatures and inanimate objects.

The definition of force is an external cause that, when applied, modifies or tends to modifies the state of the body. The body comes to rest while it is in motion, and it will go into motion when it is at rest.

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