What Is The Longitudinal Distance Between Ksu - University Road And The Prime Meridia? (2024)

When the voltage across the resistor is quadrupled and its resistance is decreased to one-fifth of its initial value, the current in the resistor rises by a factor of eight (20/2=8).

Ohm's Law states that a resistor's resistance is inversely proportional to its current flow, which is directly proportional to the voltage applied across it. The mathematical formula for Ohm's Law is I = V/R, where I stands for current, V for voltage, and R for resistance.

In this case, the voltage across the resistor is multiplied by four, or quadrupled. The resistance is simultaneously decreased to one-fifth of its initial value, suggesting that it is divided by five.

Find the new current in the resistor using these modifications to Ohm's Law. The new current (I') can be computed as follows because the voltage has increased fourfold (4V) and the resistance has fallen to one-fifth (R/5).

I' = (4V)/(R/5) = 20V/R.

Simplifying the equation:

I' = (20/R)V.

The new current (I'), which is represented by V/R, can be written as I' = 20I.

Therefore, when the voltage across the resistor is quadrupled and its resistance is decreased to one-fifth of its initial value, the current in the resistor rises by a factor of eight (20/2=8).

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You will perceive the siren's sound to have a frequency of approximately 809.34 Hz

To calculate the perceived frequency of the ambulance siren, we can use the formula for the Doppler effect:

f' = f * (v + vr) / (v + vs)

Where:

f' is the perceived frequency

f is the actual frequency of the siren (750 Hz in this case)

v is the speed of sound (346 m/s)

vr is the velocity of the receiver (you) relative to the medium (0 m/s, assuming you are stationary)

vs is the velocity of the source (the ambulance) relative to the medium (-25 m/s, since it is moving away from you)

Plugging in the given values:

f' = 750 * (346 + 0) / (346 - 25)

Simplifying the equation:

f' = 750 * 346 / 321

f' ≈ 809.34 Hz

Therefore, you will perceive the siren's sound to have a frequency of approximately 809.34 Hz. This higher frequency indicates a perceived increase in pitch compared to the actual frequency of the siren due to the motion of the source (the moving ambulance) relative to the receiver (you).

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The internal loadings acting on the cross section at point e are a compressive force of 29.4 N and a moment of -882.4 Nm.

To determine the resultant internal loadings acting on the cross section at point e, you will need to calculate the forces acting on the section. These forces include the external force (load d) and the internal forces in the beam. The beam is in equilibrium, so the sum of the internal forces must balance the external force.

The formula for determining the internal loadings in a beam is:ΣFx = 0ΣFy = 0ΣM = 0The first equation is the force equation in the x-direction. The second equation is the force equation in the y-direction. The third equation is the moment equation about any point in the plane.

The external forces acting on the beam are the load d, which has a mass of 300 kg and is being hoisted by the motor m with constant velocity.WThe internal forces acting on the beam include the shear force and the bending moment.The shear force is the force that is perpendicular to the longitudinal axis of the beam.

The bending moment is the moment that is created by the external force acting on the beam. It is calculated as the product of the force and the distance from the point of application of the force to the point of interest.

The formula for calculating the shear force is:V(x) = V(0) - ∫M(x)dxwhere V(x) is the shear force at a point x, V(0) is the shear force at the beginning of the beam, M(x) is the bending moment at a point x, and dx is an element of distance along the beam.What is the formula for The formula for calculating the bending moment is:M(x) = M(0) - ∫V(x)dxwhere M(x) is the bending moment at a point x, M(0) is the bending moment at the beginning of the beam, V(x) is the shear force at a point x, and dx is an element of distance along the beam.The solution to the problem involves the calculation of the shear force and the bending moment at point e. From these values, the resultant internal loadings acting on the cross section at point e can be determined.

Here are the steps:Step 1: Draw the free body diagram of the beam and identify the external forces. The diagram is shown below:

Step 2: Calculate the reaction forces at the supports. Since the beam is in equilibrium, the sum of the forces in the y-direction is zero. Therefore, we have:R1 + R2 - 300g = 0where g is the acceleration due to gravity. Solving for R1 and R2, we get:R1 = 1,470.6 NR2 = 529.4 N

Step 3: Calculate the shear force and the bending moment at point e. The shear force and the bending moment diagrams are shown below:We can see from the diagrams that:V(e) = -R1 = -1,470.6 NM(e) = -R1 x a = -1,470.6 x 0.6 = -882.4 Nmwhere a is the distance from point e to the load d. Step 4: Determine the resultant internal loadings acting on the cross section at point e.

Since the beam is in equilibrium, the sum of the internal forces must balance the external force. Therefore, we have:F(e) = R1 - 300g = -29.4 NThis is the resultant internal force acting on the cross section at point e. It is negative, which means that it is compressive.

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The intensity of light, i, is inversely proportional to the square of the distance, d, from the light source.

When we say that the intensity of light, i, is inversely proportional to the square of the distance, d, from the light source, it means that as the distance increases, the intensity of light decreases. This relationship is described by the equation i = 1/(d²), where i represents the intensity and d represents the distance.

To understand this concept better, let's consider an example. Imagine you have a flashlight and you measure the intensity of light at different distances from the source. As you move farther away from the flashlight, you will notice that the intensity of light decreases rapidly. This is because the light spreads out over a larger area as the distance increases, resulting in a lower concentration of light.

The reason for this inverse relationship between intensity and distance squared is due to the nature of light propagation. When light travels from a source, it spreads out in all directions, forming a spherical wavefront. As the distance from the source increases, the same amount of light is spread out over a larger surface area of the sphere. Since the surface area of a sphere increases with the square of the radius, the intensity of light decreases inversely proportional to the square of the distance.

In summary, the equation i = 1/(d²) represents the inverse relationship between the intensity of light and the square of the distance from the light source. As the distance increases, the intensity of light decreases because the same amount of light is spread out over a larger area.

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Based on the information provided, let's calculate if the seed bombs will reach the approved site. The initial velocity of the seed packets is 12 m/s and the range of the approved site is between 10-20 m away.

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When light rays converge, the image is called a real image, and the image distance is positive. When light rays diverge and appear to meet at a common point, the image is called a virtual image.

In optics, the behavior of light rays helps determine the type of image formed by an optical system. When light rays converge to a point after passing through an optical system, such as a lens or a mirror, they form a real image. This real image can be projected onto a screen and can be captured or observed. The distance from the optical system to the real image is positive because it is measured from the location of the optical system.

On the other hand, when light rays diverge or appear to come from a point behind the optical system, they form a virtual image. Virtual images cannot be projected onto a screen since they do not physically exist at a specific location. Instead, they are perceived by the observer as if the light rays are coming from a certain point. The image distance for a virtual image is negative, indicating that it is measured in the opposite direction from the location of the optical system.

By understanding the behavior of light rays and the resulting image formation, we can analyze and describe the characteristics and properties of optical systems, such as lenses and mirrors.

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In dentistry, the shorter the wavelengths of the x-rays, the greater their energy and their usefulness.What are x-rays rays are electromagnetic radiation with short wavelengths, high energy, and high frequency.

They have a shorter wavelength than visible light, making them capable of penetrating materials that light cannot. X-rays are used in dentistry as a diagnostic tool to assist in identifying problems with teeth and gums.

To capture dental images, dentists use X-rays, which are highly energetic waves that penetrate through soft tissues but are consumed by bone. They can help identify cavities, assess bone health, evaluate the status of developing teeth, and monitor general tooth health, among other things.

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Photovoltaic cells are the best way to generate renewable energy and meet electrical needs. However, in practice, many factors limit their efficiency. These factors include darkness, various weather conditions, maintenance, and the angle of the Sun. Each photovoltaic cell can produce up to 15% efficiency.

Hence to meet the electrical needs of a cabin, it is essential to calculate the number of photovoltaic cells required.The efficiency of each photovoltaic cell is 15%. Therefore, 100/15 = 6.66 solar panels would be required to meet the electrical needs of the cabin. However, this is an estimated value and depends on various factors such as the cabin's location, power consumption, weather conditions, etc.

To accurately determine the number of photovoltaic cells required, it is essential to perform an energy audit of the cabin. An energy audit helps determine the cabin's energy consumption and identifies energy-saving opportunities. The energy audit also considers the cabin's location and weather conditions, which helps to accurately determine the number of photovoltaic cells required.

In conclusion, if the photovoltaic cells operate at 15% efficiency, 6.66 solar panels would be required to meet the electrical needs of the cabin. However, to determine the accurate number of photovoltaic cells required, an energy audit is necessary. The audit considers the cabin's energy consumption, location, and weather conditions, which helps to accurately calculate the number of photovoltaic cells required.

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The temperature of space is 2.7K. To estimate the temperature of space, start from the given Planck's equation.

λmax = 0.20 hc/kT

Rearrange the equation to get the expression for the temperature:

T = 0.20 hc/ kλmax

h and k are known constants. ℎ is Planck's constant (6.6261·10⁻³⁴ Js) k is Boltzmann's constant (1.38· 10⁻³⁴ J K⁻¹) c is the velocity of the light (3.00⋅10⁸ ms⁻¹) λmax is given in the problem (1.05 mm), but it needs to be converted to the meter.

The conversion factor is 1m/1000 mm because 1 m = 1000 mm.

λmax= 1.05mm ⋅ 1m/1000 mm

λmax = 1.05 ⋅ 10⁻³m

Now substitute all data in the given expression for the temperature.

T=0.20× 6.6261·10⁻³⁴ Js · 3.00 · 10⁸ ms⁻¹/1.38·10⁻²³JK⁻¹ · 1.05·10⁻³ m

T = 2.74K

T = 2.7K

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Your question is incomplete, most probably the complete question is:

The maximum in the blackbody radiation intensity curve moves to shorter wavelength as temperature increases. The German physicist Wilhelm Wien demonstrated the relation to be λ max ∞ 1/ T. Later, Planck's equation showed the maximum to be λ max = 0.20 hc/ kT. In 1965, scientists researching problems in telecommunication discovered "background radiation" with maximum wavelength 1.05 mm (microwave region of the EM spectrum) throughout space. Estimate the temperature of space.

Currents in the ocean, also known as ocean currents, are the continuous, directed movements of seawater. They are caused by various factors, including wind patterns, temperature differences, the rotation of the Earth, and the shape of coastlines.

Ocean currents can be classified into two main types: surface currents and deep currents.

Surface currents are driven primarily by wind and are influenced by factors such as the Earth's rotation and the presence of land masses. These currents can flow in specific directions and can vary in speed and strength. They are responsible for the formation of major oceanic gyres and can have a significant impact on climate and weather patterns.

Currents can pose a hazard to surf swimmers, particularly when strong or rapid. They can create strong undertows or rip currents that pull swimmers away from the shore and into deeper waters. These currents can be dangerous, especially for individuals who are not experienced swimmers or are unfamiliar with ocean conditions. It is important for surf swimmers to be aware of current conditions and to take precautions to ensure their safety.That statement is correct.

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The electric field vector for microwaves transmitted through a polarizer made of a grid of parallel metal wires approximately 1 cm apart is perpendicular to the metal wires, corresponding to option (b).

A polarizer works by selectively allowing the transmission of light waves with a specific polarization direction while blocking or attenuating waves with other polarization directions. In the case of microwaves passing through a polarizer made of parallel metal wires, the electric field vector of the transmitted microwaves is perpendicular to the metal wires.

When a microwave wave encounters the metal wires of the polarizer, it induces an electric current in the wires due to the interaction between the electric field and the charges in the metal. This induced current then generates its own electromagnetic field, which acts as a secondary source of radiation. The interaction between the incident wave and the induced fields leads to the selective transmission or absorption of microwave energy.

In the case of a polarizer with parallel metal wires, the electric field vector of the incident microwaves is perpendicular to the metal wires. This orientation allows for the transmission of microwaves with a polarization direction that is parallel to the wires. Microwaves with a polarization direction perpendicular to the wires experience greater attenuation and are effectively blocked by the polarizer.

Therefore, the electric field vector for microwaves transmitted through a polarizer made of parallel metal wires is perpendicular to the metal wires, corresponding to option (b).

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Fatima is skating at a speed of 5 m/s. if she accelerates uniformly to a new speed of 15 m/s and it takes 13 seconds, the distance that she travels is 130 meters.

When an object accelerates uniformly, its average velocity can be calculated by taking the average of the initial and final velocities. In this case, the average velocity is (5 + 15) / 2 = 10 m/s.

To find the distance travelled, we can use the formula:

distance = average velocity * time

Since the object is accelerating uniformly, the average velocity can also be represented as (initial velocity + final velocity) / 2.

To calculate the distance Fatima travels while accelerating uniformly from 5 m/s to 15 m/s in 13 seconds:

distance = (initial velocity + final velocity) * time / 2

Given:

Initial velocity (u) = 5 m/s

Final velocity (v) = 15 m/s

Time (t) = 13 seconds

Using the formula:

distance = (u + v) * t / 2

distance = (5 + 15) * 13 / 2

distance = 20 * 13 / 2

distance = 260 / 2

distance = 130 meters

Therefore, Fatima travels a distance of 130 meters while accelerating uniformly from 5 m/s to 15 m/s in 13 seconds.

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You would need to walk approximately 11.714 meters toward speaker B to move to a point of destructive interference.

To determine the distance at which destructive interference occurs, we need to consider the path difference between the waves emitted by speakers A and B. At the point of constructive interference, the path difference is a whole number multiple of the wavelength (λ) of the waves. At the point of destructive interference, the path difference is a half-number multiple of the wavelength.

Given that the frequency of the waves emitted by each speaker is 600 Hz, we can calculate the wavelength using the formula λ = v/f, where v is the speed of sound in air (approximately 343 m/s) and f is the frequency (600 Hz). Thus, λ = 343 m/s / 600 Hz ≈ 0.572 m.

Since speaker B is 12.0 m to the right of speaker A, we can consider this as the initial path difference between the two waves. To move from a point of constructive interference to a point of destructive interference, we need to introduce an additional half-wavelength path difference.

Therefore, we need to calculate how much distance corresponds to half a wavelength. Half a wavelength is equal to λ/2 ≈ 0.286 m.

To find the distance you need to walk toward speaker B, you should subtract the initial path difference from the half-wavelength distance: 0.286 m - 12.0 m = -11.714 m.

Thus, you would need to walk approximately 11.714 meters toward speaker B to move to a point of destructive interference.

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Each channel has a width of 6.00 MHz, and channel 8 is located between 180.0 MHz and 186.0 MHz.

By calculating the wavelengths at the lower and upper frequencies of channel 8, we can determine the wavelength range for this channel.

The formula for calculating the wavelength of a wave is given by: wavelength = speed of light / frequency. In this case, we are interested in calculating the wavelength range for channel 8.

Channel 8 is assigned a frequency range between 180.0 MHz and 186.0 MHz. To calculate the corresponding wavelength range, we can use the formula mentioned above. The speed of light is approximately 3.00 x 10^8 m/s.

For the lower frequency of channel 8 (180.0 MHz), we can calculate the wavelength:

wavelength_lower = (3.00 x 10^8 m/s) / (180.0 x 10^6 Hz)

Similarly, for the upper frequency of channel 8 (186.0 MHz), we can calculate the wavelength:

wavelength_upper = (3.00 x 10^8 m/s) / (186.0 x 10^6 Hz)

By evaluating these calculations, we can determine the broadcast wavelength range for channel 8.

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The efficiency of a heat engine is the ratio of the work done by the engine to the heat input. So, if the efficiency of the heat engine is 60.0%, then 60.0% of the heat input is converted into work, and the remaining 40.0% is released into the environment.

Let's say that the heat engine takes in 100 J of heat. Then, 60.0 J of this heat is converted into work, and 40.0 J is released into the environment.

Therefore, the heat engine takes in 100 J of heat to produce 60.0 J of work.

Here is the formula for calculating the efficiency of a heat engine:

efficiency = work / heat input

In this case, the efficiency is 60.0%, the work is 60.0 J, and the heat input is 100 J. So, we can plug these values into the formula to get:

efficiency = 60.0 J / 100 J = 0.60

This means that the heat engine is 60.0% efficient.

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When the sample size is increased from 64 to 196, the variance of the sample mean decreases. When the sample size is reduced from 784 to 49, there is an increase in the variance of the sample mean.

A. When the sample size is increased from 64 to 196, the variance of the sample mean is reduced.

To understand why, we need to consider the formula for the variance of the sample mean. The formula is given by the population variance divided by the sample size. The population variance is equal to the square of the standard deviation.

So, when the sample size increases, the denominator in the formula for the variance of the sample mean becomes larger. As a result, the overall value of the variance decreases.

In this case, the population standard deviation is 5.6 kilograms. Thus, the population variance is (5.6 kilograms)² = 31.36 kilograms².

When the sample size is increased from 64 to 196, the denominator in the formula increases from 64 to 196. Conversely, the variance of the sample mean decreases when the sample size is increased from 64 to 196.

B. When the sample size is decreased from 784 to 49, the variance of the sample mean increases.

Using the same reasoning as above, we know that the variance of the sample mean is equal to the population variance divided by the sample size.

With a population standard deviation of 5.6 kilograms, the population variance is (5.6 kilograms² = 31.36 kilograms².

When the sample size is decreased from 784 to 49, the denominator in the formula decreases. Consequently, the variance of the sample mean increases.

The question should be:

A certain type of thread is manufactured with a mean tensile strength of 78.3 kilograms and a standard deviation of 5.6 kilograms. how is the variance of the sample mean changed when the sample size is: A. Increased from 64 to 196? B. Decreased from 784 to 49?

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A horizontally thrown dart that falls 5 cm before reaching the dart board traveled a horizontal distance of 2.5 m. the dart was thrown horizontally with an initial speed of approximately 25 m/s.

When the dart is thrown horizontally, its vertical motion is influenced solely by the force of gravity. The horizontal motion, on the other hand, remains constant unless affected by external factors like air resistance.

To find the time of flight, we can use the equation for vertical displacement: Δy = [tex]v_y \times t + (1/2) \times g \times t^2[/tex], where Δy is the vertical displacement (5 cm = 0.05 m), [tex]v_y[/tex] is the vertical component of the initial velocity (which is zero in this case), g is the acceleration due to gravity (approximately 9.8 m/[tex]s^2[/tex]), and t is the time of flight.

Solving for t in the equation, we get [tex]0.05 m = (1/2) \times 9.8 m/s^2 \times t^2[/tex]. Rearranging the equation gives [tex]t^2 = (0.05 m \times 2) / 9.8 m/s^2[/tex], which simplifies to [tex]t^2 = 0.01 s^2.[/tex] Taking the square root of both sides, we find t ≈ 0.1 s.

Now that we know the time of flight, we can calculate the initial velocity ([tex]v_x[/tex]) using the equation [tex]v_x = d_x / t,[/tex] where[tex]d_x[/tex]is the horizontal distance traveled (2.5 m). Therefore,[tex]v_x[/tex]= 2.5 m / 0.1 s = 25 m/s.

Hence, the dart was thrown horizontally with an initial speed of approximately 25 m/s.

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It would take approximately 499 seconds for a radar signal to complete a round trip between Earth and Mars when the two planets are 0.7 AU apart.

To calculate the time it takes for a radar signal to complete a round trip between Earth and Mars, we need to consider the speed of light and the distance between the two planets.

The average distance between Earth and Mars is approximately 1.52 astronomical units (AU). Given that the two planets are 0.7 AU apart, we can calculate the actual distance as follows:

Distance = (1 AU) - (0.7 AU) = 0.3 AU

The speed of light in a vacuum is approximately 299,792 kilometers per second (km/s). To calculate the time, we divide the distance by the speed of light:

Time = Distance / Speed of light

Converting AU to kilometers (1 AU ≈ 149,597,870.7 km), we can calculate the time:

Time = (0.3 AU * 149,597,870.7 km/AU) / 299,792 km/s

Time ≈ 149,597,870.7 km / 299,792 km/s

Time ≈ 499.004 seconds

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Friction is a force that opposes the motion of an object when it is in contact with another object. This force has a direction opposite to the direction of motion of the object. T he normal force is the force that a surface exerts on an object perpendicular to the surface. The formula for calculating the normal force is:

Fₙ = mg where Fₙ is the normal force, m is the mass of the object, and g is the acceleration due to gravity. The frictional force between the steel spatula and the dry steel frying pan is 0.450 N. The coefficient of kinetic friction is 0.3.The formula for calculating the frictional force is:

Ff = μkFn where Ff is the frictional force, μk is the coefficient of kinetic friction, and Fn is the normal force. Rearranging the formula for the normal force, we get:

Fn = Ff/ μk Substituting the given values, we get: Fn = 0.450/0.3Fn = 1.5 N Therefore, the normal force between the steel spatula and the dry steel frying pan is 1.5 N.

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However, the equation can be simplified further by converting meters to nanometers, which is a more commonly used unit for measuring wavelength. 1 meter is equal to 1,000,000,000 nanometers.So, we have: wavelength = (0.0763 / 480,000) × 1,000,000,000 nm

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The situation described is impossible because the decay processes of both ⁵⁷Co and ¹⁴C result in the emission of beta particles (positrons and electrons), which have opposite charges. These particles cannot combine to form positronium, as they will immediately annihilate each other upon contact.

Positronium is a short-lived atom-like particle consisting of an electron and a positron (an antiparticle of the electron) orbiting around their common center of mass. It can be formed when a positron and an electron come together and their charges cancel out, allowing them to form a bound state.

In the given situation, the scientist places ⁵⁷Co and ¹⁴C nuclei in proximity. The ⁵⁷Co nuclei decay by emitting positrons (e+), while the ¹⁴C nuclei decay by emitting electrons (e-). However, since the positrons and electrons have opposite charges, they cannot combine to form positronium. Instead, when a positron and an electron come into close proximity, they undergo annihilation, resulting in the conversion of their mass into energy in the form of gamma rays.

After 60 minutes, approximately 376.725 grams of the radioactive substance will remain.

To calculate how much radioactive substance will remain after 60 minutes, we need to use the decay rate of 1.9% per minute.

First, we need to convert the decay rate to a decimal. 1.9% is equivalent to 0.019.

Next, we can use the formula for exponential decay: Remaining amount = Initial amount * (1 - decay rate) ^ time Plugging in the values, we have: Remaining amount = 1000 g * (1 - 0.019) ^ 60.

Simplifying the equation: Remaining amount = 1000 g * (0.981) ^ 60 Evaluating the equation: Remaining amount ≈ 376.725 g

Therefore, after 60 minutes, approximately 376.725 grams of the radioactive substance will remain.

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The width of the central maximum (bright fringe) is approximately 3.92 mm. The width of either of the two first-order bright fringes is approximately 25.79 mm.

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The average velocity over the specified time intervals is 40 - 16t.

The average velocity can be determined using the formula: Average velocity = change in displacement / change in time.

In this case, the change in time is represented by t seconds. Therefore, the change in displacement can be calculated by finding the difference between the height at t seconds and the initial height.

The initial height (u) is considered to be 0 meters. The height at t seconds (s) can be represented by the equation v(t) = 40t - 16t^2, where v(t) represents the height at time t.

The displacement is given by the equation s - u = 40t - 16t^2 - 0 = 40t - 16t^2.

Thus, the average velocity over the given time intervals can be expressed as follows:

Average velocity = (change in displacement) / (change in time)

= (40t - 16t^2 - 0) / (t - 0)

= 40 - 16t.

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To ensure the safety of occupants on a ride at a county fair, we need to determine the minimum rotational speed (expressed in rev/s) required to prevent them from sliding down the wall and the maximum angular speed needed to prevent them from sliding up at the top.

To prevent occupants from sliding down the wall, the minimum rotational speed must generate a centrifugal force equal to or greater than the gravitational force pulling them downward. By setting up a free-body diagram and equating these forces, we can solve for the minimum rotational speed required. On the other hand, to prevent occupants from sliding up at the top, the maximum angular speed must create a centrifugal force equal to or greater than the gravitational force pulling them downward. Again, using a free-body diagram and appropriate equations, we can determine the maximum angular speed needed. Taking into account the forces involved and using the principles of rotational motion, we can find the desired rotational speeds to ensure occupant safety.

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The position of the final image formed by the system of lenses can be determined using the lens formula. In this case, the final image is formed 14.3 cm to the right of the diverging lens.

To determine the position of the final image, we can use the lens formula:

1/f = 1/v - 1/u,

where f is the focal length of the lens, v is the image distance from the lens, and u is the object distance from the lens.

For the converging lens, the object distance u is -40.0 cm (negative because it is to the left of the lens) and the focal length f is +30.0 cm (positive because it is a converging lens). Substituting these values into the lens formula, we can solve for the image distance v1, which comes out to be +60.0 cm. The positive sign indicates that the image is formed to the right of the lens.

Now, considering the diverging lens, the object distance u2 is +60.0 cm (positive because the image is on the same side as the lens) and the focal length f2 is -20.0 cm (negative because it is a diverging lens). Again, substituting these values into the lens formula, we can solve for the image distance v2, which comes out to be +14.3 cm. The positive sign indicates that the final image is formed to the right of the diverging lens.

Therefore, the position of the final image formed by the system of lenses is 14.3 cm to the right of the diverging lens.

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