A thin, square, conducting plate 50.0cm on a side lies in the x y plane. A total charge of 4.00× 10⁸ is placed on the plate. Find (a) the charge density on each face of the plate

The maximum torque acting on the rotor is 1.2× 10⁻⁴ Nm.

To find the maximum torque, the given values are,

No .of turns of the wire = 80

Dimensions is given as, 2.50 cm by 4.00 cm

Magnetic field = 0.800 T.

current = 10 mA.

Angular speed = 3.60 ×10³ rev/min

As the torque is in the current carrying loop in the uniform magnetic field,

τ = NIAB sinθ Nm

   = 80×10×10⁻³×0.0250×0.040×0.800× Sin 90°

   = 2 × 6.4 × 10 ⁻⁴

   = 1.2 × 10⁻⁴ Nm.

Thus, the maximum torque acting on the rotor is 1.2× 10⁻⁴ Nm.

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Mr. spoke is travelling with speed v = 9.4c.

Mr. spoke is apparently unknowing of  theory of special relativity by Einstein. The theory states that moving clock tick slower than stationery clock.

Time elapse =∆t = 3 weeks

(In earth stationery frame)

Time ellipse= ∆t' = 1 week

(In the frame of rocket)

∆t' = ∆t'/γ

1/y² = 1 - v²/c²

∆t'²/∆t² =

=1²/3²

=1/9

c= 3×10⁸m/s

on solving above equation we get :

v = 9.4c

He was spreading around at close to the speed of light.

Experience significant time dilatation.

He is travelling with speed  v = 9.4c.

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Answer:

C. 18 s

&

B. -7 m

Explanation:

A. 12 m/s, East is a vector. It says "East" so it would be a vector. Therefore this is not our answer since it's a vector and the question is asking for which one is not a vector.

B. It says "7 m". I think that means 7 meters. That's a length. There is no direction. It's not 7 meters up, or to the east, or north. So, with no direction, it's not a vector. Therefore this is not our answer.

C. For this one it says ""18 s". I think that means "18 seconds". Since this one is not mentioned "direction" meaning it's not a vector. Since the question is asking for the ones that are not a vector this would be another answer.

D. Since this one says "miles" it means it has a direction since it has a direction it is probably a vector, since it's a vector it wouldn't be our answer. Therefore this is not our answer.

w = wavelength = h / mv

Where h = Planck’s constant = [tex]6.626*10^{-34} J s[/tex]

m = mass of golf ball = 45.9 g = [tex]45.9*10^{-3} Kg[/tex]

v = velocity of ball = 72.0 m/s

Hence, w = ([tex]6.626*10^{-34}[/tex]) / ( [tex]45.9*10^{-3}*72[/tex])

wavelength = [tex]2.0*10^{-34} m[/tex]

The distance over which a periodic wave's shape repeats is known as the wavelength in physics. Along with other spatial wave patterns, it is a characteristic of both traveling and standing waves. The distance between two adjacent crests, troughs, or zero crossings on the wave that correspond to successively in the same phase. The spatial frequency is the reciprocal of wavelength. The Greek letter lambda (λ) is frequently used to represent wavelength. The term wavelength is also occasionally used to refer to modulated waves, their sinusoidal envelopes, or waves created by the interference of several sinusoids. A spectrum is the term used to describe the range of wavelengths or frequencies for wave phenomena. The term was originally used to describe the electromagnetic spectrum, but it is now now used to describe the sound spectrum and vibration spectrum.

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Answer:

It's one meter long and has 100 cm and 39.4 inchs

Explanation:

When gas particles contact with one another at a fixed temperature and volume, the average kinetic energy of the gas remains constant. Given that the temperature stays constant, this is the case. This characteristic gives us some understanding of the kinetic energy of the particles; for example, if the temperature rises, we may predict that the kinetic energy will follow suit. However, this kind of energy does not change if the temperature stays constant.

A particle or an item that is in motion has a sort of energy called kinetic energy. When work, which entails the transfer of energy, is done on an object by applying a net force, that object acquires kinetic energy.

Mass and speed are the two fundamental variables that influence kinetic energy. Why? Because an object's motion is dependent on both its velocity and its mass, though velocity plays a larger role in motion.

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The water in the Cuyahoga river flows at a speed of 5.4 kilometers/hour. If you decide to canoe down the river a distance of 16 kilometers, then it would take 2.96 hours.

The total distance covered by any object per unit of time is known as speed. It depends only on the magnitude of the moving object.

As given in the problem, the water in the Cuyahoga river flows at a speed of 5.4 kilometers/hour. If you decide to canoe down the river a distance of 16 kilometers,

The time period for canoeing 16 kilometers = 16 kilometers / 5.4 kilometers/hour

                                                                         =2.96 hours

Thus, it would take 2.96 hours to canoe down the river a distance of 16 kilometers.

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By relativistic momentum, the proton speed is 1.93 x 10⁵ m/s.

We need to know about relativistic momentum to solve this problem. The rest energy of the object can be determined by

P = m₀ . v/ √(1 - v²/c²)

where P is relativistic momentum, m₀ is rest mass, c is speed of light (3 x 10⁸ m/s) and v is speed of object.

From the question above, we know that :

mp = 1.6 x 10¯²⁷ kg

me = 9.1 x 10¯³¹ kg

c = 3 x 10⁸ m/s

ve = 0.75c

Find the relativistic momentum of electron

P = me . ve/ √(1 - ve²/c²)

P = 9.1 x 10¯³¹ . 0.75c / √(1 - (0.75c)²/c²)

P = 2.0475 x 10¯²² / 0.66

P = 3.1 x 10¯²² kg.m/s

Find the speed of proton

P = mp . vp/ √(1 - vp²/c²)

3.1 x 10¯²² = 1.6 x 10¯²⁷ . vp / √(1 - vp²/c²)

vp = 193892.05 x √(1 - vp²/c²)

squared

vp² = 3.76 x10¹⁰ -  3.76 x10¹⁰vp²/c²

(1 + 3.76 x10¹⁰/c²) vp² = 3.76 x10¹⁰

(1.0) vp² = 3.76 x10¹⁰

vp = √(3.76 x10¹⁰)

vp = 1.93 x 10⁵ m/s

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At a point halfway between the center and any vertex, the field is stronger.

An equilateral triangle with side L is formed by the bend of a wire carrying a current I.

The magnetic field created by a straight wire is given as:

[tex]B = \frac{ \mu_{0} I}{2 \pi a}[/tex]

The cosines of the complementary angles are identical to the sines of the angles that appear in that equation.

For the distance "a" from the wire to the field point,

We obtain:

[tex]tan{~}30^{\circ} = \frac{a}{L/2}\\a = 0.2887L[/tex]

We have one whole side of the triangle that generates a magnetic field at the center of the triangle is [tex](\frac{ \mu_{0} I(1.732)}{4 \pi a} )[/tex].

Now, the near side of a triangle will be at a geometrically equivalent location and will be half as far from point P(b).

Then the field at P(b) is:

[tex](\frac{ \mu_{0} I(1.732)}{4 \pi a} )= \frac{2 \mu_{0} I (1.732)}{4 \pi a}[/tex]

A P(b) field is created by the two half-sides that are cross-hatched which is:

[tex]2(\frac{2 \mu_{0} I(1.732)}{4 \pi a} )= \frac{4 \mu_{0} I (1.732)}{4 \pi (0.2887L)}=\frac{6 \mu_{0} I}{ \pi L}[/tex]

We already have evidence that the field at P(b) is stronger because the remaining triangle will contribute a little bit more field in the same direction.

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ohm's law is a formula used to calculate the relationship between voltage, current, and resistance in an electrical circuit. To students of electronics, ohm's law (e =ir) is as fundamentally important as einstein's relativity equation ( e= mc2) is to physicists. e = l x r. rest is on Goo gle

The initial velocity with which the rock was launched is 41.16 m/s and the maximum height achieved by the rock is 86.4 m.

The three equations of motion are -

v = u + at

S = ut + 1/2 at²

v² - u² = 2aS

Given is a rock launched from ground vertically upwards reaching its highest point after 4.2 s of being launched. Therefore, we can write -

Time taken to achieve maximum height [t] = 4.2 sec

Acceleration [a] = - 9.8 m/s²

Assume that the initial velocity is u.

Therefore - at maximum height S[max],  t = 4.2 s

Now, at maximum height, final velocity (v) will be zero.

From the first equation of motion -

v = u + at

0 = u - gt

u = gt

u = 9.8 x 4.2

u = 41.16 m/s

The initial velocity of rock was 41.16 m/s.

The maximum height achieved by the rock -

S[max] = ut + 1/2 at²

S[max] = 41.16 x 4.2 - 0.5 x 9.8 x 4.2 x 4.2 = 172.87 - 86.44 = 86.4 m

Therefore, the initial velocity with which the rock was launched is 41.16 m/s and the maximum height achieved by the rock is 86.4 m.

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On doubling the Amplitude both wavelength and wave speed remains unchanged.

We have a Oscillator whose amplitude is Doubled.

We have to determine the affect of variation in amplitude on wavelength and wave speed.

According to the question, we have -

Initial Amplitude → A

Final Amplitude → 2A

On doubling the Amplitude both wavelength and wave speed remains unchanged. Wavelength is not dependent on Amplitude. It can only be changed by changing its frequency or time period. Wave speed is not dependent on Amplitude. It can only be changed by changing the properties of the string through which the wave is travelling.

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Change in length in meters is 0.21 m

volume is given by

 [tex]V_{f} = lwh\\[/tex]

v = volume  [tex]V_{f}[/tex] = Final  volume , [tex]V_{i}[/tex] = initial volume

l = length

w = width

h = height

change in volume expansion,

[tex]V = \beta V_{i} T[/tex]

where

t = change in temperature

[tex]\beta[/tex] = coefficient of volume expansion

coefficient of volumetric expression defined as increasing volume per unit, original volume per Kelvin rising temperature.

[tex]\beta \\[/tex] = 210×10⁻⁶ C⁻¹

[tex]V_{i} = lwh_{i}[/tex]  

[tex]V_{f} - V_{i} = \beta V_{i}T[/tex]

on solving we get,

[tex]h_{f} =[/tex] 210×10⁻⁶ × 1 + 1000 = 1000.21m

Change in length=  [tex]h_{f} -h_{i}[/tex]  = 0.21 m

Change in length in meters is 0.21 m

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The shock wave from the meteoroid in the lower atmosphere has a Mach angle of 0.948°.

(a) The meteoroid's speed [tex]v_s=20 \mathrm{~km} / \mathrm{s}[/tex]

[tex]$=20 \times 10^3 \mathrm{~m} / \mathrm{s}$[/tex]

Air sound wave speed [tex]&v=331 \mathrm{~m} / \mathrm{s} \\[/tex]

Speed of the shock wave in Mach [tex]&\qquad \theta=\sin ^{-1}\left(\frac{v}{v_s}\right)[/tex]

                                                            [tex]$$\begin{aligned}&=\sin ^{-1}\left(\frac{331 \mathrm{~m} / \mathrm{s}}{20 \times 10^3 \mathrm{~m} / \mathrm{s}}\right) \\&=0.948^{\circ}\end{aligned}$$[/tex]

Hence, 0.948° is the Mach angle of the shock wave from the meteoroid in the lower atmosphere.

A meteoroid's speed can be loosely broken down into three categories: slow, medium, and fast.

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c.  it fails to state the original cause

As we all know as we know the universe is created  billion years ago when a small fire ball that exploded.

Big Bang theory is discovered by the George Lemaitre.

It is the explanation "how the universe began."

It states that universe starts from a tiny  point then expanded to grow more larger and it is still expanding.

Big Bang Theory cannot explain Galaxy formation. It cannot solve the problem of universe of origination because it didn't tell where the singular point of Big Bang came.

c. it fails to state the original cause

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The direction of the bird's velocity can be adjusted so that the wind and the resulting bird velocity will both be in the southerly direction.

(a) The bird should fly at an angle of roughly South 23.58° East if it wants to move directly southward in relation to the earth.

(b) The bird would need around 5.46 hours to fly 500 kilometres from North to South.

The components of the velocity are v(x) and v(y).

The magnitude of the velocity of the bird is 100 km/h

The orientation of the bird corresponds to that of North and South.

The magnitude of the velocity of the wind is 40 km/h

East-west is the direction of the wind.

(a) The component vector of the two velocities are;

The velocity of the bird, v(y) = -100(j)

The velocity of wind, v(x) = 40(i)

If the bird has a component of velocity to accommodate the wind velocity, the direction of its movement will be southerly.

Let θ be the angle of the direction of the bird relative to the negative x-axis, therefore:

-100(j) × cos(θ) = -40·i

θ = cos⁻¹(40/100)

θ ≈ 66.42° in the third quadrat, given that both the y, and x, values are negative.

In the South-West direction, the angle is:

90 - 66.42 ≈ 23.58°

Therefore, to fly directly southward relative to the ground, the bird should fly in the direction of south 23.58° east.

(b) The following is given as the component of the bird's southerly velocity when traveling in the new direction:

v(s) = 100 × sin(θ)

Hence,

Southward velocity,  v(s) = 100 × sin(66.42°)

The time t it takes to travel 500 km, is given as:

d = v(s)t

500 = 100 × sin(66.42°)(t)

t = 5.46 hrs

The bird would need 5.46 hours to fly 500 kilometres from North to South.

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The complete question is mentioned below:

Canada geese migrate essentially along a north–south direction for well over a thousand kilometres in some cases, traveling at speeds up to about 100 km/h. If one goose is flying at 100 km/h relative to the air but a 40-km/h wind is blowing from west to east,

(a) at what angle relative to the north–south direction should this bird head to travel directly southward relative to the ground?

(b) How long will it take the goose to cover a ground distance of 500 km from north to south? (Even on cloudy nights, many birds can navigate by using the earth’s magnetic field to fix the north–south direction.)

The vertical magnetic field is required to keep the rod moving at a constant speed is 0.04T.

A magnetic field, an electric current, a fluctuating electric field, or a vector field around a magnet can all be used to observe magnetic forces. Permanent magnets, including magnetic compass needles, point in the direction of magnetic fields similar to those on Earth. Magnetic fields cause electrically charged particles to move in a helical or circular pattern. This force, which is imparted to electric currents in wires in a magnetic field, is what drives the functioning of electric motors. When the magnetic field surrounds a permanent magnet or a wire carrying a steady electric current in one direction, it is referred to as a magnetostatic field and is stationary.

Calculations:

Given mass of rod ,m=0.2kg

current carrying= I = 10A

Separation between rails =d = 0.5m

coefficient of kinetic friction ,uk= 0.1

The force of magnetic field (F) is perp.r to the magnetic field.

Let required magnetic field be B.

Now balancing forces in y-direction,

        N=mg

And. in x-direction,

        F=f

       IBd= [tex]u_{k}[/tex]N

       IBd=[tex]u_{k}[/tex]mg

       B=[tex]\frac{0.1x0.2x10}{10x0.5}[/tex]

      B= 0.04T

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The radius of curvature of the proton's path while in the field is [tex]66.67[/tex]  × [tex]10^{-2}[/tex].

b) Let R = radius curvature of protons path. Then,

relation b/w B, R, and v is: -

[tex]B = mv/eR\\R=mv/eB[/tex]

[tex]R=\frac{1.6*10^{-27} * 20*10^{6}}{1.6*10^{-19}*0.3 }[/tex]

[tex]R =66.67[/tex]× [tex]10^{-2}[/tex]

Hence, the radius of curvature of the proton's path while in the field is [tex]66.67[/tex] × [tex]10^{-2}[/tex].

The magnetic influence on moving electric charges, electric currents and magnetic materials is described by a magnetic field, which is a vector field. A force perpendicular to the charge's own velocity and the magnetic field acts on it when the charge is travelling through a magnetic field.  The magnetic field of a permanent magnet pulls on ferromagnetic substances like iron and attracts or repels other magnets. A magnetic field that varies with location will also exert a force on a variety of non-magnetic materials by changing the velocity of those particles' outer electrons. Electric currents, like those utilized in electromagnets, and electric fields that change in time produce magnetic fields that surround magnetized things.

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voltage drop can occur both the high current and control circuits.

Voltage drop - it is the loss of voltage by caused by the flowing current through resistance.

As any length of wires will have resistance running a current through the direct circuit resistance will cause the voltage drop.

It occurs voltage at the end point is less then the starting point.

control circuits - The circuit which carries only the electric signals directing performance of control device not power that device controls.

voltage drop can occur across both the high-current and control circuits; however, the control circuit is more susceptible to voltage drop due to the much larger amount of current flowing in the circuit.

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Electron and proton have charge which is option (a) and (c) .

As electron and proton have charges -e and +e respectively and photon has no charge.

Therefore, only electron and proton have charge not photon .

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The directions of the vectors for velocity and acceleration will be [b] the velocity vector points to the right and the acceleration vector points to the left.

The velocity vector is always pointing in the direction that the object is moving. Therefore, from our vantage point, the direction of velocity is to the right.

When an object experiences positive acceleration, the acceleration vector points in the object's motion direction.

When an object experiences a negative acceleration, the acceleration vector is in the opposite direction as the object's velocity. Therefore, from our vantage point, the direction of velocity is to the left.

The rate at which an object's position changes is called its velocity vector. The rate at which an object's velocity changes is called its acceleration vector.

As a result, the vectors for acceleration and velocity point in opposite directions.

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A train slows down as it pulls into a station, if the train is moving from your left to your right, what are the directions of the vectors for velocity and acceleration?

[a] the velocity points to the left and the acceleration vector also points to the left

[b] the velocity vector points to the right and the acceleration vector points to the left

[c] the velocity vector points to the left and the acceleration vector points to the right

[d] the velocity vector points to the right and the acceleration vector also points to the right

Answer:

index fossil, any animal or plant preserved in the rock record of the Earth that is characteristic of a particular span of geologic time or environment. A useful index fossil must be distinctive or easily recognizable, abundant, and have a wide geographic distribution and a short range through time. Index fossils are the basis for defining boundaries in the geologic time scale and for the correlation of strata. In marine strata, index fossils that are commonly used include the single-celled Protista with hard body parts and larger forms such as ammonoids. In terrestrial sediments of the Cenozoic Era, which began about 65.5 million years ago, mammals are widely used to date deposits. All of these animal forms have hard body parts, such as shells, bones, and teeth, and evolved rapidly.

Explanation:

The final velocity of the ball when it is caught is 20.58 m/s

Velocity is the rate of change of displacement.

To calculate the final velocity of the ball when it is caught, we use the formula below.

Formula:

Where:

From the question,

Given:

SUbstitute these values into equation 1

Hence, the  final velocity of the ball when it is caught is 20.58 m/s

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The distance between the cliffs is 833.4m.

A cliff is a section of rock with an overall angle defined by the vertical or nearly vertical in geography and geology. Cliffs are created by the gravitational effects of weathering, erosion, and other activities. Cliffs can be seen on rivers, escarpments, steep terrain, and coastlines. Typically, cliffs are made of weather- and erosion-resistant rock. Sandstone, limestone, chalk, and dolomite are the sedimentary materials most likely to result in cliff formation. Cliffs are frequently formed by igneous rocks like granite and basalt.

A geologic fault's movement, a landslide, or occasionally rock slides or falling rocks that alter the differential erosion of the rock layers result in the formation of an escarpment (or scarp), a type of cliff.

Explanation:

Let x1 be the distance between the cowboy and the closer canyon wall and x2 be the distance between him and the farther cliff. The first echo's sound travels a distance of 2x1. 2x2 for the following. The third is

2x1 + 2x2 , for the fourth echo  2x1 + 2x2 + 2x1

speed of sound =  343 m/s

then,

diff  of length  =  2x2 - 2x1 / 343 = 1.92 s

and 2x1 + 2x2 - 2x2 / 343 = 1.47

x1 = 0.5 * 343 * 1.47

= 252.105 m

2x2 / 343 = 1.92 + 1.47

x2 = 581.3 m

a) x1 + x2  =  581.3 + 252.105  =  833.4

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According to the question: The efficiency of the speaker is 0.428%.

The quantity of energy that is transported or transformed through time is referred to as power in physics. One joule per second, or one watt, is the definition of power in the International System of Units. Power is referred to as acting in some ancient writings. A motor's output power is the result of the torque it produces and the angular velocity of its output shaft.

Explanation:

Power output, P₀ = 0.643W

Power input, P₁ = 150W

The efficiency of the speaker = P₀/P₁

                                                  = 0.643W/150W

                                                  = 0.00428 ≅ 0.428%

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Answer:

this problem we have to draw a velocity-time graph for an object travelling initially at -3 m/s, then slowing down and turning around.

In the graph, we see that the initial velocity at time t = 0 is

v_0 = -3 m/sv

0

=−3m/s

and it is negative, so below the x-axis.

Later, the object slows down: this means that the magnitude of its velocity increases, therefore (since the velocity is negative) the curve must go upward, approaching and reaching the x-axis (which corresponds to zero velocity).

After that, the object's velocity keep increasing, but now it is positive: this means that the object is travelling in a direction opposite to the initial direction, so it has turned around.

Explanation:

I can't draw sorry

The barometric pressure (BARO) sensor works in conjunction with the manifold absolute pressure (MAP) sensor to provide constant pressure difference information to the PCM.

The Manifold Absolute pressure (MAP) sensor is used by the Powertrain Control Module (PCM) for engine load entry. The PCM makes use of this input, as well as others, to calculate the correct quantity of gasoline to inject into the cylinders. The MAP sensor measures the absolute strain within the intake manifold of the engine.

Barometric pressure is the size of air strain in the atmosphere, in particular the size of the load exerted by way of air molecules at a given point on this planet.

The Manifold Absolute pressure sensor performs 'double obligation' as a barometric stress sensor as soon because the key's turned on. With the key became on (prior to the engine starting) there is no vacuum inside the engine applied to the MAP sensor therefore its sign to the ECM will become a BARO studying useful in determining air density.

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A vector with magnitude 8 points in a direction 70 degrees counterclockwise from the positive x axis, the vector component form 11.53.

In Physics, greatness is characterized as the most extreme degree of size and the heading of an item. Extent is utilized as a typical calculate vector and scalar quantities. The size of a seismic tremor is characterized regarding length, expansiveness and width. It is estimated as the actual size of the tremor. A seismic tremor is considered to have a solitary extent. Greatness by and large alludes to the amount or distance. Corresponding to the development, we can associate greatness with the size and speed of the article while voyaging. The size of the article or the sum is its extent. extent for the most part alludes to distance or amount. Corresponding to development, extent alludes to the size of an article or its speed while voyaging. Speed is a scalar property in material science, and that implies that it just depicts the size, or speed, of an item, and doesn't specify the bearing that the article ventures.

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The electric force acting on a 7.80 nc charge that is located 1.69 m from a 4.54 nc point charge is: 1.115*10^-7 N

To solve this exercise the electric force formula and the procedure we will use is:

F = (k * q1 * q2)/r²

Where:

Information about the problem:

By converting the the values of the charges (q1) and (q2) from (nC) to (C) and we have that:

q1= 7.80 nC * 1 C/ 1*10^ 9 nC

q1= 7.8*10^ -9 C

q2= 4.54 nC * 1 C/ 1*10^ 9 nC

q2= 4.54 *10^ -9 C

We apply the electric force formula we have:

F = (k * q1 * q2)/r²

F = [(9 *10^9 N*m²/C² * (7.8*10^ -9 C) * (4.54 *10^ -9 C)]/ (1.69 m)²

F = 3.187*10^-7 N*m² /2.8561 m²

F = 1.115*10^-7 N

In physics the electric force is the force that attracts or repels two charges (q) separated at a distance called (r), this is expressed in the international system of units in Newton.

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