a baseball collides with a baseball glove. which equation is used to calculate the force the glove exerts on the ball during the collision?

The swimmer has a mass of 75.0 kg and a velocity of 5.00 m/s, the total momentum of the swimmer is 375 kg·m/s. The total momentum of the raft must be equal to the total momentum of the swimmer, so the raft must have a momentum of 375 kg·m/s.

Since the mass of the raft is 465 kg, the velocity of the raft must be equal to 0.80 m/s. This means that the raft will move in the same direction as the swimmer, but with a speed that is much slower due to its greater mass.

The raft speed can be determined by considering the law of conservation of momentum. Momentum is defined as the product of mass and velocity, and it is conserved when no external forces act on an isolated system. In this case, the swimmer and raft can be considered an isolated system since no external forces are acting on them.

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The angular width of the central peak when monochromatic light of wavelength 600 nm is incident on a slit with a width of 6 micrometers is 0.1 radian.

The angular width is the angle between the two points at which the intensity of the light has dropped to 1/2 the maximum value. This angle is known as the full width at half maximum (FWHM).

The angular width of the central peak for a monochromatic light of wavelength 600 nm incident on a slit with a width of 6 micrometers can be calculated using the equation:

θ = (λ/a)

where λ is the wavelength of the incident monochromatic light and a is the width of the slit.

Therefore, the angular width of the central peak of a diffraction grating with monochromatic light of wavelength 600 nm and a slit width of 6 micrometers can be calculated as follows:

θ = λ/a

θ = 600 x 10⁻⁹ / 6 x 10⁻⁶

θ = 100 x 10⁻³ radians

θ = 0.1 radian

Therefore, the angular width of the central peak is 0.1 radian.

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The various types of electromagnetic waves that make up the electromagnetic spectrum are arranged according to decreasing wavelength and rising frequency.

Regardless of which peak we choose to measure from, the wavelength, remains the same. Waves with longer wavelengths have less energy than those with shorter wavelengths.

The radio waves that make up the electromagnetic spectrum have the longest wavelengths. Radio waves range in frequency from 300 GHz to as low as 3 kHz, with wavelengths between 1 mm and 100 km.

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The time after starting when the magnitude of the car's centripetal acceleration is equal to the tangential acceleration is 8.21 seconds.

The diameter of the track, d = 270 m, so the radius, r = d/2 = 135 m.

The car is accelerating at a rate of aₜ = 1.6 m/s² tangentially to the circle.

The tangential acceleration of the car is equal to aₜ = v² / r, where v is the tangential velocity of the car.

Let's assume that the car has been moving for t seconds since the start of the test. During this time, the car's tangential velocity increases from 0 to v, so the average tangential acceleration over this time period is:

a_avg = (v - 0) / t = v / t

The magnitude of the centripetal acceleration is equal to a_c = v² / r.

At the point when the magnitude of the centripetal acceleration is equal to the tangential acceleration, we have:

a_c = aₜ

v² / r = aₜ

v² = aₜ * r

v = sqrt(aₜ * r)

Now we can find the time t it takes for the car to reach this speed using the equation:

v = aₜ * t

t = v / aₜ = sqrt(aₜ * r) / aₜ

Substituting the values for r and aₜ, we get:

t = sqrt((1.6 m/s²) * (135 m)) / (1.6 m/s²) = 8.21 s

Therefore, it takes approximately 8.21 seconds for the magnitude of the car's centripetal acceleration to become equal to its tangential acceleration.

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The consistency of reality across all observers in quantum physics can be explained by the concept of objective reality.

Objective reality is the idea that reality exists independently of any observer and is not affected by observation or measurement. Therefore, it is the same for all observers. Although the observer may interact with the system being observed, their actions or observations do not affect the underlying reality. Instead, they are simply revealing what was already there.

The idea that an observer determines reality in quantum physics is often misinterpreted. It is not that reality does not exist until it is observed, but rather that the act of observation changes the state of the system being observed. This is known as the observer effect or measurement problem, which is a fundamental issue in quantum physics that has yet to be fully resolved.

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Answer:

because of its height from the ground,the weather up is colder than the ground which makes the air turn cold

The most important use of absorption measurements is to determine the concentration of a substance in a solution.

Absorption measurements are one of the most commonly used methods for detecting and quantifying the concentration of molecules in a solution. This technique measures the amount of light that is absorbed by a sample as a function of its wavelength.

There are two types of absorption measurements: transmission and reflection.

Transmission measurement is when the light passes through a sample and is absorbed by the solution. The amount of light that is absorbed is then measured and the concentration of the substance is determined based on the amount of light absorbed.

Reflection measurement is when the light is reflected off the surface of the sample and the amount of reflected light is measured. The concentration of the substance is then determined based on the amount of light absorbed by the sample.

Absorption measurements are important for many reasons. Some of the key uses of absorption measurements include:

Determining the concentration of a substance in a solution: Absorption measurements can be used to accurately determine the concentration of a substance in a solution. This is important for many applications, including medical diagnosis and drug development.

Detecting impurities in a sample: Absorption measurements can also be used to detect impurities in a sample. This is important for quality control and ensuring that products are safe for use.

Identifying unknown substances: Absorption measurements can also be used to identify unknown substances in a sample. This is important for forensic analysis and environmental testing.

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simplified explainatiom:

Motion refers to the movement of an object from one place to another. There are different types of motion, such as moving in a straight line, moving in a circle, or moving back and forth.

To study motion, we use different measurements like how far an object moves (displacement), how fast it moves (velocity), how quickly it speeds up or slows down (acceleration), and what forces are acting on it.

The laws of motion are rules that explain how objects move. They say that an object will keep moving at the same speed and direction unless something stops it, and that the harder you push on an object, the more it will move.

Understanding motion is important for designing things like cars, planes, and buildings, and for playing sports.

explaination:

Motion refers to the change in position of an object with respect to its surroundings over time. It is a fundamental concept in physics and is studied extensively in mechanics, which is a branch of physics that deals with the motion of objects and the forces that cause them to move.

There are different types of motion, such as linear motion, circular motion, and oscillatory motion. Linear motion refers to the motion of an object in a straight line, while circular motion refers to the motion of an object along a circular path. Oscillatory motion refers to the motion of an object that moves back and forth around a fixed point.

The study of motion involves the use of various physical quantities, such as displacement, velocity, acceleration, and force. Displacement refers to the change in position of an object, while velocity refers to the rate at which an object changes its position. Acceleration refers to the rate at which an object changes its velocity, while force refers to the influence that causes an object to move or change its motion.

The laws of motion, which were first formulated by Sir Isaac Newton, are fundamental principles that govern the behavior of objects in motion. These laws state that an object in motion will remain in motion with a constant velocity unless acted upon by an external force, and that the force acting on an object is equal to the product of its mass and acceleration.

Motion has many applications in everyday life, such as in transportation, sports, and engineering. Understanding the principles of motion is essential for the design and operation of machines, vehicles, and structures.

The average power output is 7.72 kW

When referring to energy delivery, the term "power output" is used. When used in reference to the automotive sector, it refers to the quantity of mechanical energy output produced by the motor, once again within a predetermined interval.

As a 550 kg dragster accelerates from rest to a final speed of 120 m/s in 450 m, facing an average frictional force of 1200 N, and doing so in 7.30 seconds, its average power output is 7.72 kW..

This can be calculated using the equation Power = (Force x Distance) / Time. In this case, the Force is 1200 N, the Distance is 450 m, and the Time is 7.30 seconds. Plugging these values into the equation, we get:

Power = (1200 N x 450 m) / 7.30 s
Power = 7,720 / 7.30 s
Power = 7.72 kW.

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The star is 1.61 times brighter when measured using a V filter than when using a B filter.

We need to use the formula for magnitude difference:

[tex]m2 - m1 = -2.5 log (F2/F1)[/tex]

where m1 and m2 are the magnitudes measured through filters 1 and 2, respectively, and F1 and F2 are the fluxes measured through filters 1 and 2, respectively.

We know that the (B-V) color index of the star is 0.55, which means its V magnitude can be found by subtracting this value from its B magnitude:

[tex]V = B - (B-V) = 5.09 - 0.55 = 4.54[/tex]

Now, we can use the formula to find the magnitude difference between the B and V filters:

[tex]m2 - m1 = -2.5 log (F2/F1)\\\4.54 - 5.09 = -2.5 log (F2/F1)\\\0.55 = 2.5 log (F2/F1)\\\log (F2/F1) = 0.22\\\F2/F1 = 1.61[/tex]

Therefore, the star is 1.61 times brighter when measured using a V filter than when using a B filter.

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The following options describe the event horizon:
- A region around a black hole with a radius equal to the Schwarzschild radius.
- A boundary in spacetime wherein events that happen cannot leave.
- The boundary around a black hole wherein light cannot escape.

The event horizon is the point of no return beyond which it becomes impossible for anything, including light, to escape the gravitational pull of a black hole. The size of the event horizon is determined by the mass of the black hole. According to the Schwarzschild radius, the radius of the event horizon is proportional to the mass of the black hole.

This boundary separates the inside of the black hole from the outside universe. Events that occur inside the event horizon are completely cut off from the outside universe, and anything that crosses the event horizon is pulled towards the singularity at the center of the black hole.

The event horizon is an essential concept in black hole physics and plays a vital role in understanding the properties of black holes. It is the outermost region of the black hole where the effects of the gravitational force are apparent, and it separates the inside of the black hole from the outside universe.

In conclusion, the event horizon is a crucial concept in black hole physics, and it is defined as the point of no return beyond which nothing, including light, can escape the gravitational pull of a black hole. A region around a black hole with a radius equal to the Schwarzschild radius, A boundary in spacetime wherein events that happen cannot leave and the boundary around a black hole wherein light cannot escape describe the event horizon.

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The height the crane lifts the weight over the time period of 8.0s is 100m when it does work at the rate of [tex]2.5 *10^3[/tex] watts to lift a 200-newton weight.

Given the rate of work done by crane (P) = [tex]2.5 * 10^3[/tex]watts

The force exerted to lift a weight (F) = 200N

The duration of which weight was lifted (t) = 8.0s

Let the height the crane lifts the weight during this period = h

Also power is calculated as work done per unit time such that: P = W/t

[tex]2.5 * 10^3 = W/8.0s[/tex]

[tex]W = 2*10^4[/tex]

We know that work done on any object = force x distance moved

Work: W = F * d

W = F * h where d = distance = h

[tex]h = 2 * 10^4/200 = 100m[/tex]

Hence the height the crane lifts the weight over this time period is 100m

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Period = t2 - t1 = 4.5 seconds - 2 seconds = 2.5 seconds is the length of time it takes for a wave to complete one full cycle.

While the wave velocity is independent of the wave's timing and source, it is influenced by the wave's wavelength as it travels through a particular medium. The utilised medium affects the wave velocity.

Wavelength is a unit used to describe the length of an entire wave cycle. The distance covered by a point on a wave is its velocity. The relationship between velocity and wavelength for every wave is typically proportional. Via the wave velocity formula, it is described.

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The surface area of the triangular prism as shown in the diagram is 660 cm².

To calculate the area of a triangular prism, we multiply the perimeter of the base to the length of the prism and add it to two times the area of the base.

Formula:

Where:

From the question,

Given:

Substitute these values into equation 1

Hence, the surface area of the triangular prism is 660 cm².

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Therefore, we can describe the direction as "away from you, to the right, and up." option c is correct.

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Answer: [tex]4 m/s^{2}[/tex]

Explanation:

First you take your end velocity and subtract the initial velocity ([tex]40-20=20[/tex])

Then you divide the difference by the time ([tex]20/5=4[/tex])

Giving you the result of [tex]4 m/s^{2}[/tex]

This all uses the equation [tex]V_{f}-V_{i}=ta[/tex]

Answer:

Slight bending of light as it passes around the edge

of an object.

A cordless drill is used to drill a hole in a wooden boar . Electrical energy in a current causes a motor to turn is energy conversions begins the process that leads to the turning drill.

Electrical energy is the energy associated with forces on electrically charged particles and their movement. This energy is supplied by a circuit's combination of current and electric potential (often referred to as voltage because electric potential is measured in volts). If there is a voltage difference in combination with charged particles, such as static electricity or a charged capacitor, the moving electrical energy is typically converted to another form of energy.

The magnetic field interacts with the electrical energy supplied by an electric current flowing in a wire. This interaction produces torque, which rotates the coil and thus generates mechanical energy.

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The magnetic force exerted on a 2.35m length of wire carrying a current of 0.819A perpendicular to the magnetic field of 0.920 T is 1.807 N.

The magnetic force is the force that acts between two magnets or between a magnet and a magnetic material. When a moving charge is exposed to a magnetic field, it experiences a magnetic force. The direction of the magnetic force is perpendicular to both the magnetic field and the direction of the motion of the charged particle.

The magnetic force is given by:

F = BILsin(θ)

where,

F is the magnetic force

B is the magnetic field

I is the current

L is the length of the wire

θ is the angle between the current and the magnetic field.

The length of the wire (L) is 2.35 m

The current (I) is 0.819 A

The magnetic field (B) is 0.920 T

As the wire is carrying the current perpendicular to the magnetic field, the angle between the current and the magnetic field is 90°.

Hence, the magnetic force (F) is given by:

F = BILsin(θ)

F = 0.920 T × 2.35 m × 0.819 A × sin 90°F = 1.807 N

Therefore, the magnetic force exerted on a 2.35 m length of wire carrying a current of 0.819 A perpendicular to the magnetic field of 0.920 T is 1.807 N.

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The magnetic field at the center of the loop is approximately 3.56 × 10^-5 T.

To calculate the magnetic field at the center of a circular loop, we can use the formula,

B = (μ0 / 4π) * (2I / R)

where B is the magnetic field at the center of the loop, I is the current flowing through the loop, R is the radius of the loop, and μ0 is the permeability of free space.

In this case, the loop has a diameter of 20.0 cm, so its radius is R = 10.0 cm = 0.10 m. The current flowing through the loop is I = 0.50 * 45 A = 22.5 A (since I2 is 50% of I1, and I1 is 45 A).

The permeability of free space is μ0 = 4π × 10^-7 T·m/A.

Plugging these values into the formula,

B = (μ0 / 4π) * (2I / R)

= (4π × 10^-7 T·m/A / 4π) * (2 × 22.5 A / 0.10 m)

= 3.56 × 10^-5 T

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If bulb C is removed from its socket, the brightness of bulbs A, B, and D will be affected .

Explanation:

1. Bulb A: The brightness of bulb A will not change because it is in a separate parallel branch. Removing bulb C will not affect the current flowing through bulb A's branch.

2. Bulb B: The brightness of bulb B will increase. This is because bulb B and bulb C are connected in series. When bulb C is removed, the resistance in that branch decreases, causing an increase in current flow. Since brightness is directly proportional to the current squared (P = I^2R), the brightness of bulb B will increase.

3. Bulb D: The brightness of bulb D will decrease. When bulb C is removed and the current in bulb B's branch increases, the overall current drawn from the source will also increase. As a result, the voltage across the parallel branches will decrease.

Since bulb D is connected in parallel to bulbs B and C, it will experience a lower voltage, leading to a decrease in its brightness.

In summary, the brightness of bulb A remains the same, the brightness of bulb B increases, and the brightness of bulb D decreases when bulb C is removed from its socket.

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Part A:  6.0 cm apart are the two nearest points on the slinky that at one particular time both have the maximum magnitudes of displacements from their equilibrium positions.

Part B: The period of the wave is 0.2 seconds.

A transverse wave of amplitude 3.0 cm, frequency 5.0 Hz, and speed 3.0 m/s travels on an infinitely long slinky. This question is a two-part question.

Let us solve each part of the question.

Part A:

We know that transverse waves move up and down perpendicular to the direction of the wave. It means that the maximum displacement of a particle from its equilibrium position is equal to the amplitude of the wave.

In one period (T), the wave completes one full cycle. The number of cycles completed in one second is called the frequency (f) of the wave.

The product of wavelength (λ) and frequency (f) of the wave is equal to its velocity (v).

The formula for a wave is given as follows:v = λf

Here, v is the velocity, λ is the wavelength and f is the frequency.

From the formula, we can calculate the wavelength of the wave. We are given the amplitude (A) and frequency (f) of the wave. We are to find the distance between two nearest points at maximum displacement.

To solve the problem, we use the formula for the wavelength of a wave.

λ = v/f

Substituting the values given:

λ = (3.0 m/s)/(5.0 Hz)

λ = 0.6 m

We know that for a transverse wave, maximum displacement is equal to the amplitude.

Therefore, the distance between two nearest points at maximum displacement is equal to two times the amplitude.

Substituting the value:

Distance between two nearest points at maximum displacement = 2 x amplitude= 2 x 3.0 cm = 6.0 cm

Part B:

The period of the wave is the time it takes for a complete cycle. The formula for the period is given as follows:

T = 1/f

Substituting the values:

T = 1/5.0 Hz

T = 0.2 seconds

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a) Energy of a photon (in eV) ≈ 5.06 × 10³ eV

b) 0 Total energy delivered = 4.25 HJ = 4.25 × 10⁹ J

c) Photons absorbed during the dental X-ray is approximately 5.25 × 10²⁴ photons.

Let's discuss it further below.

To determine the energy of a single photon of the X-rays in electron volts, we can use the following formula:

Energy of a photon (in eV) = (hc) / (λ * e)

where h is Planck's constant (6.63 × 10⁻³⁴ Js), c is the speed of light (3 × 10⁸ m/s), λ is the wavelength (0.0245 nm = 2.45 × 10⁻¹¹ m), and e is the elementary charge (1.6 × 10⁻¹⁹ C).

Step 1: Calculate the energy of a photon in Joules:
Energy of a photon (in J) = (6.63 × 10⁻³⁴ Js) × (3 × 10⁸ m/s) / (2.45 × 10⁻¹¹ m)
Energy of a photon (in J) ≈ 8.1 × 10⁻¹⁶ J

Step 2: Convert the energy from Joules to electron volts:
Energy of a photon (in eV) = (8.1 × 10⁻¹⁶ J) / (1.6 × 10⁻¹⁹ C)
Energy of a photon (in eV) ≈ 5.06 × 10³ eV

To find the number of photons absorbed during the dental X-ray, we can use the following formula:

Number of photons absorbed = Total energy delivered / Energy of a single photon

Step 3: Convert the energy delivered to Joules:
Total energy delivered = 4.25 HJ = 4.25 × 10⁹ J

Step 4: Calculate the number of photons absorbed:
Number of photons absorbed = (4.25 × 10⁹ J) / (8.1 × 10⁻¹⁶ J/photon)
Number of photons absorbed ≈ 5.25 × 10²⁴ photons

In summary, the energy of a single photon of these X-rays is approximately 5.06 × 10³ eV, and the number of photons absorbed during the dental X-ray is approximately 5.25 × 10²⁴ photons.

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Answer: read your text book

Explanation:

The time it takes for a radio signal to travel the 1.50×10^11 m average distance from the earth to the sun is about 500 seconds for a radio signal to travel the average distance from the earth to the sun.

1. Identify the speed of the radio signal, which is the speed of light (since radio waves are a form of electromagnetic radiation).

The speed of light is approximately 3.00×10^8 m/s.

2. Use the formula: time (t) = distance (d) / speed (v).

3. Plug in the values: t = (1.50×10^11 m) / (3.00×10^8 m/s).

By calculating, we get:
t ≈ 500 seconds

Therefore, it takes approximately 500 seconds or 8 minutes and 20 seconds for a radio signal to travel from Earth to the Sun.

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As a star's temperature increases, it becomes hotter. Its color changes from orange, through yellow, to white.

The thickness of lead required to block a 20MeV electron beam to only 5% transmission is approximately 1.4mm.

An electron beam is a stream of electrons that can be directed and manipulated using magnetic and electric fields. An electron beam can be used to make the beams of charged particles, synchrotron light, or X-rays, which are widely used in research, medicine, and engineering.

The penetration of electrons through a substance is determined by the speed of the electrons, the density and composition of the substance, and the thickness of the substance.To calculate the thickness of the lead needed to block a 20MeV electron beam to only 5% transmission, we will use the exponential attenuation equation given below:

I = I₀e⁻μx

Where:

I₀ = initial intensity of electron beam

I = intensity of electron beam after passing through x thickness of lead

μ = mass attenuation coefficient of lead at 20Me

Vx = thickness of lead required to reduce the electron beam to 5% of its original intensity (95% absorption)

To calculate x, we can use the equation:

I/I₀ = 0.05 = e^(-μx)

Taking the natural logarithm of both sides of the equation gives:

-ln(0.05) = μx

Thus:

x = (-ln(0.05))/μ

The mass attenuation coefficient of lead at 20MeV is 0.206 cm²/g. We can convert this to m²/kg by dividing by the density of lead, which is 11.34 g/cm³. Therefore,

μ = 0.206/11.34 = 0.01816 m²/kg

Substituting this value for μ gives:

x = (-ln(0.05))/0.01816= 1.4 mm

Therefore, the thickness of lead needed to block a 20MeV electron beam to only 5% transmission is approximately 1.4mm.

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1006.7 Newtons force must be applied by the chain passing over the sprocket in order to give the wheel an acceleration of 4.53 rad/[tex]s^2[/tex].

To calculate the force required, we need to use the formula:

F = ma

where F is the force, m is the mass of the wheel, and a is the acceleration of the wheel.

First, we need to calculate the radius of the sprocket:

r = d/2 = 8.99 cm/2 = 4.495 cm

The tangential acceleration of the wheel can be calculated using the formula:

a = r x α

where α is the angular acceleration of the wheel.

We can rearrange this formula to solve for α:

α = a / r = 4.53 / 4.495 = 1006.7 rad/s^2

Now, we need to assume a mass for the wheel.

Let's say the wheel has a mass of 1 kg.

Using the formula F = ma

we can calculate the force required:

F = m x a = 1 kg x 1006.7 rad/[tex]s^2[/tex] = 1006.7 N

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The power lens necessary to correct this person's vision to allow her to see distant objects is +4.0 D. The correct option is c.

A lens is a transparent optical device that refracts light to converge or diverge it. To form an image, lenses use a principle known as refraction. Refraction is the bending of light when it travels from one medium to another of differing density.

A convex lens, for example, is used to focus the image for those who suffer from hyperopia, also known as long-sightedness, or those who have difficulty seeing objects that are far away. It is a positive lens since it can refract parallel rays of light to meet at a focal point.

In summary, the power lens necessary to correct this person's vision to allow her to see distant objects is +4.0 D.

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The relationship between the observed frequencies can be given by the Doppler effect formula for sound which is

[tex]f' = \frac{(v_{sound} + v)}{(v_{sound})} \times f[/tex]

The Doppler effect formula is given by:

[tex]f' = \frac{(v_{sound} + v_{observer})}{(v_{sound} + v_{source})} \times f[/tex]

Where f is the frequency of the sound emitted by the horn, v_sound is the speed of sound in air, v_observer is the speed of the observer (in this case, car 2), and v_source is the speed of the source (in this case, car 1).

When car 1 moves toward car 2 with speed v, we have:

[tex]v_{source} = 0[/tex]

When car 2 moves toward car 1 with speed v, we have:

[tex]v_{observer} = v[/tex]

Substituting these values into the Doppler effect formula, we get:

[tex]f' = \frac{(v_{sound} + v)}{(v_{sound})}  \times f[/tex]

Therefore, the relationship between the observed frequencies is [tex]f' = \frac{(v_{sound} + v)}{(v_{sound})}  \times f[/tex].

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