suppose that during a thunder-storm you hear a clap of thunder 6.33 seconds after you see a lightning strike. how far away are you from the lightning strike? assume room temperature air. assume light travels so fast that you see the lightning nearly instantaneously.

The equation for torque, moment of inertia, and angular acceleration is:  Torque = Moment of Inertia x Angular Acceleration.

An equation is a mathematical statement that expresses the equality or equivalence of two expressions. It is a statement that asserts the equality of two expressions by providing a set of operations and/or values that, when completed, will yield a result of true. Equations are used to describe relationships between two or more variables, to solve for a particular value, or to express a specific law of nature. They are used in a wide variety of mathematical, physical, and engineering problems. Equations are typically written using symbols such as numbers, letters, and special mathematical symbols, and can include equations of lines, curves, and functions. Equations help us to understand the physical and mathematical properties of our world, and can be used to model and describe real-world phenomena.

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The magnitude of the average acceleration of the ball during its contact with the wall is  68000 m/s².

When the ball collides with the wall, it experiences a change in momentum. The time interval during which the ball is in contact with the wall is 3.95 ms, or 0.00395 s. Using the principle of conservation of momentum,

We  use the average acceleration formula to find the acceleration of the ball during the collision.Initial momentum of the ball before collision = m₁v₁ = (0.0515 kg)(27.0 m/s) = 1.3905 kg⋅m/s. Final momentum of the ball after collision = m₂v₂ = (0.0515 kg)(-19.0 m/s) = -0.9785 kg⋅m/s

According to the conservation of momentum, the initial momentum is equal to the final momentum, so:m₁v₁ = m₂v₂

1.3905 kg⋅m/s = -0.9785 kg⋅m/s  Solving for the mass, we get: = 0.0515 kg

Using the average acceleration formula: a = Δv/Δt = (v₂ - v₁)/Δt = (-19.0 m/s - 27.0 m/s)/0.00395 s = -16455.7 m/s² Since the acceleration is in the opposite direction to the initial velocity, we take the magnitude to be: |a| = 16455.7 m/s² ≈ 68000 m/s².

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The momentum of the shopping cart decreases after colliding with the store wall since the momentum is conserved, and it transfers from the cart to the wall.

The momentum of an object is the product of its mass and velocity, so the momentum of the shopping cart before the collision is 20 kg x 0.5 m/s = 10 kg m/s. After colliding with the wall, the shopping cart stops, so its final velocity is zero. The momentum of the shopping cart after the collision is therefore 20 kg x 0 m/s = 0 kg m/s. The law of conservation of momentum states that the total momentum of a closed system remains constant, so the momentum lost by the shopping cart must be gained by the store wall.

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The correct answer is: decrease the intensity and decrease the wavelength of the light.

Increasing the intensity of the incident light will increase the number of electrons emitted per unit time, but it will also increase the kinetic energy of each electron. On the other hand, decreasing the wavelength of the incident light will increase the kinetic energy of each electron, but it will not necessarily increase the number of electrons emitted per unit time.

To produce more electrons per unit time but with less kinetic energy per electron, the experimenter should decrease the wavelength of the incident light, while keeping the intensity constant or even decreasing it. This is because decreasing the wavelength will increase the energy of each photon, but decreasing the intensity will decrease the number of photons per unit time, thereby reducing the total energy delivered to the surface.

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The Wireless Spectrum spans a wide range of frequencies, from as low as 9 KHz to as high as 300 GHz. This spectrum is a limited resource, and as demand for wireless communications continues to grow, there is an increasing need to manage and allocate the available frequencies effectively.

Different frequencies are used for different wireless technologies, with lower frequencies typically used for long-range communication and higher frequencies used for shorter-range communication with higher data rates. In order to avoid interference between different wireless systems, regulators allocate specific frequency bands for specific uses, such as cellular networks, Wi-Fi, and Bluetooth. With the ongoing development of new wireless technologies, including 5G and IoT, managing the Wireless Spectrum and allocating frequencies will remain a critical challenge for regulators and industry stakeholders alike.

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4.0 × 10-19 J  is the energy of the photons emitted by the LED at a frequency of 610 THz

Define photon

A photon is a microscopic particle made up of electromagnetic radiation waves. Maxwell demonstrated that photons are merely electric fields moving through space. Photons move at the speed of light and have no charge or rest mass.

A photon is a tiny unit of electromagnetic energy that is essentially a particle of light. The frequency of the photon (i.e., how quickly the electric field and magnetic field oscillate; "fast electric field" and "wiggle" need better terminology) determines its energy.

E = hc / λ

c  = speed of light and, λ = wavelength

frequency = f = c / λ

E = hf

f  = 610 thz = 6.1 x 10¹⁴hz

h = 6.26 x 10⁻³⁴ Js

E = 6.26 x 10⁻³⁴ x 6.1 x 10¹⁴

E = 3.8 x 10⁻¹⁹ J = 4.0 × 10-19 J

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The car travels approximately 356.6 feet to reach a merging speed of 63 mph while accelerating at a constant rate of 12 ft/s².

1 mile = 5280 feet
1 hour = 3600 seconds
Thus, 12 ft/sec2 = 12 x (3600/5280) mph/sec = 8.18 mph/sec (rounded to two decimal places).
Now we can use the kinematic equation that relates distance, acceleration, and time:
d = 1/2 at²
where d is the distance traveled, a is the acceleration, and t is the time. Since the car is starting from rest, its initial speed is zero. We can find the time it takes for the car to reach a speed of 63 mph by using the following formula:
v = at
where v is the final speed (63 mph) and a is the acceleration (8.18 mph/sec). Solving for t, we get:t = v/a = 63/8.18 = 7.70 seconds (rounded to two decimal places).

Now we can substitute this value of t into the first kinematic equation to find the distance traveled:
d = 1/2 at²= 1/2 (8.18) (7.70)²= 236.85 feet (rounded to two decimal places).

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45 Joules is done by an applied force to lift a 15-Newton block 3.0 meters vertically at a constant speed.

Speed is a measure of the rate of motion or change in the position of an object or person. It is typically expressed as a distance travelled divided by the time taken to travel that distance. Speed is a scalar quantity, meaning that it only has magnitude and not direction. Speed is typically measured in units of metres per second (m/s) or kilometres per hour (km/h). Speed is a fundamental concept in physics and is used to calculate the work done by a force, the kinetic energy of an object, and momentum.

The amount of work done by an applied force to lift a 15-Newton block 3.0 meters vertically at a constant speed can be calculated using the following equation: Work = Force x Distance

Work = 15 N x 3.0 m

Work = 45 Joules

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The constant shape and volume of a wooden block is due to the fact that the particles that make up the block are held together by strong intermolecular forces.

Intermolecular refers to the interactions that occur between molecules. These interactions involve the sharing or transfer of electrons between molecules and are responsible for a wide range of chemical and physical properties. Intermolecular forces are relatively weaker than intramolecular forces, which exist between atoms within a molecule.

These forces prevent the particles from moving relative to each other and thus maintain the block's shape and volume. This is because the particles remain bound together, even when the block is subjected to pressure or force of any kind. The particles are unable to move in any direction as they are tightly held together, thus maintaining the shape and volume of the block.

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21.45 moles of gas are in the tank that contains 24.0-L ideal helium gas at 27°C and a pressure of 22.0 atm.

What is ideal gas law ?

The macroscopic characteristics of ideal gases are related by the ideal gas law (PV = nRT). A gas is considered to be ideal if its particles (a) do not interact with one another and (b) occupy no space (have no volume).

The phrase "ideal gas" describes a fictitious gas made up of molecules that adhere to the following principles: No attraction or repellence exists between the molecules of ideal gases. The sole interaction between molecules of an ideal gas would be an elastic collision when they collided or an elastic collision with the container walls.

L = 24 L

T = 27 °C = 300 K

P = 22 atm

P V = n R T

22 x 24 = n x 0.08206 x 300

n= 21.447 moles

n= 21.45 moles

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To convert it to a voltmeter reading 3 V full scale, one must use a series resistance of 288 Ω

What is resistance and how is it calculated?

A measure of resistance is any object's obstruction to the flow of electrical electricity. A resistor is an electrical component that is utilized in the circuit to provide that particular level of resistance. Using the following formula, the resistance of any object is calculated: V⇒IR

Because the output current of the first resistor flows into the input of the second resistor in a series circuit, the current through each resistor is equal. All of the resistor leads on one side of the resistors are connected together, as are all of the leads on the other side, in a parallel circuit.

In series circuit,

R is equal to R1+R2

If R2 is 288Ω, R1 isn 12Ω

R will be 300Ω

V⇒IR

V ⇒ 3V

I ⇒ 0.01A

3 ⇒ 0.01*R

R ⇒ 300Ω

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The index of refraction of the gas is 1.00028. This value is derived from the given information and calculations.

In a Michelson interferometer, fringe shifts occur when the optical path length changes. To find the index of refraction of the gas, we can use the formula n = 1 + (Δm * λ) / (2 * L), where n is the index of refraction, Δm is the number of fringe shifts, λ is the wavelength of light, and L is the length of the tube.

Calculation Steps:
1. Plug in the given values: Δm = 146, λ = 580 nm, and L = 4.38 cm (converted to meters: 0.0438 m).
2. Calculate the value inside the parentheses: (146 * 580 * 10^(-9)) / (2 * 0.0438) = 0.00028011.
3. Add 1 to the result: 1 + 0.00028011 = 1.00028.
4. The index of refraction of the gas is 1.00028, with 5 significant figures.

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The frequency of a simple pendulum is given by the formula:

[tex]f = 1 / (2\pi ) * \sqrt{(g / L)}[/tex]

where,

f is the frequency,

g is the acceleration due to gravity, and

L is the length of the pendulum.

If the entire pendulum accelerates at 0.41 g upward, the effective acceleration due to gravity experienced by the pendulum will be:

g_eff = g + 0.41 g

        = 1.41 g

Substituting this value of g_eff into the formula for frequency, we get:

[tex]f' = 1 / (2\pi ) * \sqrt{(g_eff / L)}[/tex]

[tex]f' = 1 / (2\pi ) *\sqrt{(1.41 g / L)[/tex]

Therefore, the new frequency f' of the pendulum is:

f' = f x √(1.41)

where f is the original frequency of the pendulum.

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The fringes on the screen in a double-slit experiment get closer together and farther apart.

In a double-slit experiment, light waves pass through two narrow slits and interfere with each other, creating a pattern of bright and dark fringes on a screen behind the slits. This interference is due to the wave nature of light. When the distance between the two slits is increased, the fringes become closer together. Conversely, when the distance between the two slits is decreased, the fringes become farther apart.

Therefore, the fringes on the screen in a double-slit experiment can either get closer together or farther apart depending on the distance between the two slits.

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The frequency of the waves is approximately 0.67 Hz. The frequency of the waves can be calculated using the formula:

f = 1/T

where,

f is the frequency and

T is the period, which is the time interval between two consecutive waves.

In this case, we are given that two waves crash into the shore every three seconds. This means that the time interval between two consecutive waves is:

T = 3 s / 2

  = 1.5 s

Therefore, the frequency of the waves is:

f = 1/T

 = 1/1.5 s ≈ 0.67 Hz

So the frequency of the waves is approximately 0.67 Hz.

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Calculation of uncertainty in energy of a photon in a monochromatic beam of 200-nm light passing through a shutter 10,000 wavelengths long yields an answer closest to 5x10^-7 eV.

What is the uncertainty in energy of a photon in a monochromatic beam of 200-nm light passing through a shutter 10,000 wavelengths long?

The energy of a photon is given by E = hc/λ, where h is Planck's constant, c is the speed of light, and λ is the wavelength of the light.

For the given monochromatic beam of 200-nm light, we have:

λ = 200 nm = 2x10^-7 m

h = 1.055x10^-34 Jxs

c = 3.00x10^8 m/s

Thus, the energy of each photon in the beam is:

E = hc/λ = (1.055x10^-34 Jxs)(3.00x10^8 m/s)/(2x10^-7 m)

E = 5.28x10^-19 J

Converting to electron volts (eV), we have:

1 eV = 1.602x10^-19 J

E = (5.28x10^-19 J)/(1.602x10^-19 J/eV) = 3.30 eV

The uncertainty in the energy of a photon can be determined using the formula ΔEΔt ≥ h/4π, where ΔE is the uncertainty in the energy and Δt is the duration of the pulse.

The number of wavelengths in the pulse is:

n = (10,000 wavelengths)/(2π) ≈ 1,591 wavelengths

The duration of the pulse is then:

Δt = nλ/c ≈ (1,591)(2x10^-7 m)/(3.00x10^8 m/s) ≈ 1.06x10^-11 s

Substituting into the uncertainty formula, we get:

ΔE ≥ h/(4πΔt) = (1.055x10^-34 Jxs)/(4π)(1.06x10^-11 s) ≈ 5.00x10^-7 eV

Therefore, the closest answer choice is B) 5x10^-7 eV.

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Of the options given, the correct answer is: the efficiency of fuel cells is typically 80 to 95. Fuel cells are energy conversion devices that generate electricity through the chemical reaction between hydrogen and oxygen.

The efficiency of a fuel cell refers to the ratio of the electrical output to the chemical energy input, and it can vary depending on the type of fuel cell and the operating conditions. However, most fuel cells have an efficiency that is significantly higher than traditional combustion engines, which can be as low as 20%. The voltage of a hydrogen fuel cell is typically around 0.6 to 1.0 volts per cell, and multiple cells can be stacked to achieve higher voltage. Fuel cells do require a continuous source of fuel, but they are not exactly similar to batteries, as batteries store energy while fuel cells produce energy through a chemical reaction. While some fuel cells may use water as a reactant, not all fuel cells require water as a constant fuel source.

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Answer:

Fuel cells are similar to batteries but require a continuous source of fuel.

Explanation:

Fuel cells convert chemical energy into electrical energy. They are similar to batteries but require a continuous source of fuel, often hydrogen. Hydrogen fuel cells have been used to supply power for satellites, space capsules, automobiles, boats, and submarines. In this type of fuel cell, oxygen from the air reacts with hydrogen to produce water and electricity, generating a voltage of about 0.9 V. The efficiency of fuel cells is typically 40 to 60, greater than that of an internal combustion engine.

The football fan does 25,200 joules (J) of work when climbing to the 90th row.

Work is the transfer of energy that happens when an object is subjected to a force and moves in the direction of the applied force. Considering that work is a scalar quantity, it has magnitude but no clear direction.

The following is the formula for calculating work:

Work (W) is equal to force (F), displacement (d), and cos([tex]\theta[/tex]).

Where:

The part of forces operating in the direction of displacement is called force (F).

The distance the object travelled in the direction of the force is known as displacement (d).

[tex]\theta[/tex] is the angle formed by the force and the displacement's direction.

The following calculation can be used to determine how much effort the football fan used getting to the 90th row:

Work: Force times Distance

Given: Fan weight (force) = 800 N

The distance between the seats' height differences is 35 cm, or 0.35 metres, in metres.

To get to the 90th row, the fan must climb a total distance that must be calculated. Since the height difference between each row is the same, we can determine the total distance by dividing the height difference by the number of rows.

There are 90 rows.

Total distance equals Height difference times the number of rows.

Total distance = 90 * 0.35 m

Now that the task is done, we may compute it:

Work: Force times Distance

Work: (800 N x 0.35 m x 90)

Making a calculation for the number:

Work = 25,200 J

Therefore, the football fan does 25,200 joules (J) of work when climbing to the 90th row.

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The temperature at which the pressure of the gas doubles from its original value is 311°C. Answer: (C).

What is Temperature?

Temperature is a measure of the average kinetic energy of the particles (such as atoms or molecules) in a substance. In other words, it indicates how "hot" or "cold" something is. The SI unit of temperature is the kelvin (K), although the Celsius (°C) and Fahrenheit (°F) scales are also commonly used.

We can use the ideal gas law, PV = nRT, where P is the pressure, V is the volume, n is the number of moles of gas, R is the gas constant, and T is the temperature in kelvins.

Since the container is rigid and the volume is constant, V is constant. Therefore, we can simplify the ideal gas law to P/T = constant. This means that if we double the pressure of the gas, we must also double the temperature in kelvins.

To convert from Celsius to kelvins, we add 273. Therefore, the original temperature in kelvins is:

T1 = 19°C + 273 = 292 K

To find the temperature at which the pressure doubles, we double the temperature:

T2 = 2 × T1 = 2 × 292 K = 584 K

Finally, we convert back to Celsius:

T2 = 584 K - 273 = 311°C

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The given data includes both qualitative and quantitative information.

Qualitative data refers to descriptive, non-numerical information, while quantitative data involves numerical measurements or quantities. In the given data, the qualitative ones describe characteristics or properties, and the quantitative ones provide specific measurements. The qualitative data in this case is the description of the physical properties of the elements such as Zinc being a silver-gray metal, Gallium not being found in nature, and Aluminum being a solid. The quantitative data is the numerical values associated with the physical properties of Chlorine having a density of 3.2 g/l and Nitrogen having a melting point of -210.00°C.

Thus, the given data includes both qualitative and quantitative information.

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These are all common battery types that can be found in modern portable devices. Ni-Fe, Li-ion, Ni-MH, LiPo, and Ni-Cd are all used in a variety of consumer electronics and other devices.

A battery is an electrical device that stores energy in the form of chemical reactions. It is composed of one or more electrochemical cells, each of which consists of a positive electrode (cathode), a negative electrode (anode), and an electrolyte. When a battery is connected to a circuit, electrons flow from the negative end to the positive end, generating an electrical current.

Ni-Fe and Ni-Cd are the older types of batteries that are slowly being phased out due to their lack of energy density, while Li-ion and LiPo batteries are becoming more popular due to their higher energy density and better performance. Ni-MH batteries offer a balance between the two, providing an intermediate level of energy density and performance.

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The work done by the electric field produced by q₁ on q₂ when it moves from point a to point b is [tex]Wab = -k q_1 q_2 (1/r - 1/2r) = -k q_1 q_2 (1/r-1/2r) .[/tex]

An electric field is an area of space around an electric charge or a group of charges in which other electric charges experience a force. The magnitude of the force depends on the amount of charge and the distance of the other charge from the field. An electric field can be represented by lines of force that indicate the direction and magnitude of the force. Electric fields exist both between stationary charges and also between charges in motion, such as an electric current.

The work done by the electric field produced by q₁ on q₂ when it moves from point a to point b can be calculated using the equation: [tex]Wab = -k q_1 q_2 (1/r - 1/2r)[/tex] where k is the Coulomb constant, q1 is the charge of the first point-like object, q₂ is the charge of the second point-like object, r is the distance between q₁ and point b, and 2r is the distance between q1 and point a.

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The correct option is 4. The cart's acceleration will halve. According to Newton's second law of motion, the acceleration of an object is directly proportional to the net force acting on the object and inversely proportional to the mass of the object. Mathematically, this can be expressed as:

a = F/m

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

If the mass of the cart is quickly loaded to have twice the mass while the propelling force remains constant, the net force acting on the cart will remain the same, since the propelling force is not changing. However, the mass of the cart has doubled. Substituting these values in the equation for acceleration, we get:

a = F/(2m)

Since the mass has doubled, the acceleration will be halved. Therefore, the correct option is 4. The cart's acceleration will halve.

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The time between a disabling event and the beginning of payments in your disability coverage can vary depending on the specific terms of your policy. This is known as the elimination period, waiting period, or initial benefit period.

The elimination period is the amount of time that must pass after a disabling event occurs before you become eligible for benefits. This period can range from a few days to several months, depending on your policy. During this time, you will not receive any payments from your disability insurance policy.

The waiting period refers to the length of time that you must wait before receiving your first benefit payment. This typically begins after the elimination period has passed. The waiting period can range from a few days to several weeks, depending on your policy.

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Answer:

30 µT

Explanation:

A fluid with a larger volumetric thermal expansion coefficient would have more fluid motion for a given change in temperature compared to a fluid with a lower number.

The volumetric thermal expansion coefficient (β) is a measure of how much a fluid expands or contracts when its temperature changes. It is defined as the fractional change in volume per degree change in temperature, i.e., β = (1/V) * (dV/dT), where V is the volume of the fluid and dV/dT is the rate of change of volume with respect to temperature.

When a fluid is heated, its volume increases due to thermal expansion. The larger the value of β, the more the fluid will expand for a given increase in temperature. This increase in volume will create more fluid motion, as the molecules in the fluid will have more room to move around. As a result, a fluid with a larger volumetric thermal expansion coefficient will exhibit more fluid motion for a given change in temperature compared to a fluid with a lower value of β.

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The theories that the mechanical functions of the body simply decay with age are called the "mechanistic theories of aging" or"wear and tear theory."

What is wear and tear theory?

The "wear and tear" theories of ageing suggest that the body's mechanical processes merely deteriorate with time. These ideas contend that throughout time, numerous body systems deteriorate and accumulate damage, which leads to ageing. This viewpoint holds that the body degrades gradually, much like a machine or mechanical item does with use and abuse.

Cellular senescence, DNA damage, oxidative stress, and the gradual loss of organ function are just a few causes of this wear and tear. While the wear and tear hypotheses offer some explanations for age-related changes, they fall short of fully encapsulating the intricate processes and underlying mechanisms that contribute to aging. According to recent studies, complex cellular and molecular mechanisms as well as genetic, environmental, and lifestyle factors all have a role in aging.

Therefore the theories that the mechanical functions of the body simply decay with age are called the "mechanistic theories of aging."

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False. In multiwire branch circuits, the continuity of a grounded conductor can be interrupted by the removal of such devices since the connection of the neutral and ground wires can be broken.

A conductor is a material or device that facilitates the flow of charge carriers such as electrons, holes, and ions. Conductors are materials that have a high electrical conductivity and allow electric current to pass through them with little resistance. Examples of conductors include silver, copper, aluminum, and graphite. Conductors are used in electronics to create circuits, in electrical wiring to connect components, and in the construction of electric motors and generators. Conductors are also used in the telecommunications industry to carry signals from one point to another.

Therefore the correct answer is True.

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The velocities of the gliders after the collision depend on the masses and velocities of the gliders before the collision, as well as the type of collision. We can solve the equations based on the conservation of momentum and kinetic energy to find the velocities of the gliders after the collision.

Assuming the gliders are initially moving toward each other, let's call them Glider 1 and Glider 2. Glider 1 has a mass of m1 and is moving towards Glider 2 with velocity v1, while Glider 2 has a mass of m2 and is moving towards Glider 1 with velocity v2.

The approach velocity (v_approach) is the sum of the velocities of Glider 1 and Glider 2, which is [tex]v_{approach} = v_1 + v_2[/tex]. The separation velocity (v_separation) is the difference between their velocities, which is [tex]v_{separation} = v_1 - v_2[/tex].

When the two gliders collide, they will experience a change in momentum, which is equal to the mass times the change in velocity (Δp = mΔv). The law of conservation of momentum states that the total momentum of a system before a collision is equal to the total momentum after the collision, provided there are no external forces acting on the system.

Therefore, we can set up two equations based on the conservation of momentum:

[tex]$m_{1}v_{1} + m_{2}v_{2} = m_{1}v_{1}' + m_{2}v_{2}'$[/tex] (total momentum before collision = total momentum after collision)

[tex]$m_{1}v_{1} + m_{2}v_{2} = (m_{1} + m_{2})v_{\mathrm{cm}}$[/tex] (v_cm is the velocity of the center of mass of the system)

We can also use the fact that the kinetic energy of the system is conserved if the collision is elastic. In an elastic collision, both momentum and kinetic energy are conserved.

Therefore, we can set up another equation based on the conservation of kinetic energy:

[tex]$\frac{1}{2}m_{1}v_{1}^{2} + \frac{1}{2}m_{2}v_{2}^{2} = \frac{1}{2}m_{1}v_{1}'^{2} + \frac{1}{2}m_{2}v_{2}'^{2}$[/tex]

We can solve these equations to find the velocities of the gliders after the collision. However, we need more information about the collision to get exact values. If the collision is perfectly elastic, then we can assume that the kinetic energy is conserved and solve for the velocities. If the collision is inelastic, then some of the kinetic energy will be lost as heat or sound, and the velocities of the gliders after the collision will be lower than in the elastic case.

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Answer: You have the right answer xD

Its AC/DC