two waves on a string are approaching each other. the amplitude of the first wave is a and the amplitude of the second wave is −2a. when the waves meet…

Your Answer :- Ball A will accelerate towards the surface faster than Ball B.

Acceleration is defined as :- The rate of change of velocity with respect to time.

Ball A, which has a lower density of 0.5, will accelerate toward the surface quicker than Ball B, which has a higher density of 0.7. This is because the buoyant force acting on each ball is equal to the weight of the water displaced by the ball. Since the volume of the balls are equal, Ball A will displace more water due to its lower density, resulting in a greater buoyant force acting on it. As a result, Ball A will accelerate towards the surface faster than Ball B.

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The circuit breaker must be rated for at least 23.76 A to operate both appliances at the same time.

Power in a circuit is the rate at which energy is transferred or converted per unit time. In an electrical circuit, power can be calculated using the formula, P = IV, where I is the current in amperes, P is the power in watts, and V is the voltage in volts.

The current drawn by each appliance can be found using the formula:

I = P / V

where I is the current in amperes, P is the power in watts, and V is the voltage in volts.

For each appliance, we have:

I = 1200 W / 101 V ≈ 11.88 A

Since we have two appliances, the total current drawn by both appliances is:

I_total = 2 × 11.88 A = 23.76 A

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If the LCD has passed BIST but there's still a video problem, check the LCD cable, video card, and motherboard in that order. Also, ensure drivers are updated.

Several different components might be the problem if an LCD has passed the Built-in Self Test (BIST) but is still experiencing visual issues. First, look for any damage or loose connections in the LCD cable. Test the video card to make sure it is operating properly and if the cable is in good condition.

If the video card is in working order, examine the motherboard for flaws or damage. Lastly, make sure the video card's drivers are up to current. This order's inspection of the components can assist identify and fix the video issue.

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Many European nations were able to exert power and economic dominance over societies in Asia during the 1800s due to a combination of factors.

Firstly, Europe had advanced technologies and military power, which enabled them to dominate Asian societies. Secondly, European nations had established colonial empires in Asia, which allowed them to control the resources and economies of these societies. Thirdly, European nations were able to leverage their economic power to force unequal trade agreements and impose their political will on Asian societies. Overall, these factors gave European nations a significant advantage in exerting power and economic dominance over societies in Asia during the 1800s.

Many European nations were able to exert power and economic dominance over societies in Asia during the 1800s due to several factors. These factors include:

1. Technological Advancements: European nations experienced rapid industrialization and technological innovations, which gave them superior weaponry, transportation, and communication capabilities. This allowed them to project power and influence across long distances.
2. Economic Growth: The Industrial Revolution in Europe led to significant economic growth and the need for raw materials and new markets. European nations established colonies and trade networks in Asia to secure these resources and expand their economies.
3. Military Strength: European nations had well-organized and disciplined armies, which were able to effectively assert their power and control over Asian societies with less advanced military capabilities.
4. Political Competition: European nations were competing with each other for global influence, prestige, and resources. Establishing dominance over Asian societies was seen as a way to strengthen their position in this competition.
In summary, European nations were able to exert power and economic dominance over societies in Asia during the 1800s due to their technological advancements, economic growth, military strength, and political competition. This allowed them to establish colonies, control trade, and influence local governments in the region.

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The diffraction grating in the experimental apparatus is used to split white light into its component colors (i.e. spectral colors) through the process of diffraction. The resulting pattern of colored lines (spectral lines) can then be analyzed to determine the composition or characteristics of the light source.

Here is a step-by-step explanation of how the diffraction grating works in the experimental apparatus:
1. Light from a source enters the apparatus and encounters the diffraction grating.
2. The grating, which consists of a series of parallel lines or slits, diffracts the incoming light.
3. The diffraction process separates the light into its constituent wavelengths, creating a spectrum.
4. The dispersed light can then be analyzed by a detector or observer, allowing for the determination of various properties of the light source.

In summary, the diffraction grating plays a crucial role in an experimental apparatus by dispersing light into its constituent wavelengths, enabling the analysis of the light's properties.

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When monochromatic light of wavelength lambda is shone through a narrow slit of width a, a diffraction pattern is formed on the screen that is very far away from the slit. The diffraction pattern consists of a central bright spot called the "zero-order maximum," surrounded by a series of alternating bright and dark bands called "diffraction fringes" or "interference fringes."

The spacing between the fringes depends on the wavelength of light, the width of the slit, and the distance between the slit and the screen. In general, the spacing between adjacent fringes is proportional to the wavelength of the light and inversely proportional to the width of the slit.

In the case where the width of the slit is approximately equal to the wavelength of the light, the diffraction pattern will consist of a broad central maximum surrounded by weaker fringes. The intensity of the fringes will decrease as the distance from the central maximum increases.

Overall, the diffraction pattern that you observe on the screen will be a manifestation of the wave nature of light, and it will depend on the wavelength of the light, the width of the slit, and the distance between the slit and the screen.

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The value of the resistor used in the parallel circuit is 24 Ω, which was obtained by using Ohm's Law and Kirchhoff's Laws to find the equivalent resistance of the parallel circuit.

We can solve this problem by using Ohm's Law and Kirchhoff's Laws. Let's start by finding the voltage of the power source.

Using Ohm's Law, we can find the voltage drop across each resistor in the series circuit:

V = IR = (1.6 A)(5 Ω + 5 Ω) = 16 V

Therefore, the voltage of the power source is 16 V.

Now, let's use Kirchhoff's Current Law to find the equivalent resistance of the parallel circuit. Since the three resistors are identical, we can represent them as a single resistor with resistance R.

The overall current in the parallel circuit is 2.0 A, so:

I1 + I2 + I3 = 2.0 A

where I1, I2, and I3 are the currents through each resistor.

Using Ohm's Law, we can express each current in terms of the resistance R and the total voltage (which is still 16 V):

I1 = V/R

I2 = V/R

I3 = V/R

Substituting these expressions into Kirchhoff's Current Law, we get:

V/R + V/R + V/R = 2.0 A

Simplifying:

3V/R = 2.0 A

Substituting V = 16 V, we get:

3(16 V)/R = 2.0 A

Solving for R, we get:

R = 24 Ω

Therefore, the value of the resistor used in the parallel circuit is 24 Ω.

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A capacitor is an electrical component that stores energy in an electric field. The two equations associated with capacitance are C = Q/V and C = εA/d. In a parallel plate capacitor, the electric field is found using the equation E = V/d.

A capacitor is an electrical component that stores energy in an electric field. It consists of two conductive plates separated by an insulating material known as a dielectric. The capacitance of a capacitor is defined as the ratio of the electric charge stored on each plate to the voltage difference between the plates. The two equations associated with capacitance are:

C = Q/V

where C is the capacitance in farads, Q is the charge stored on each plate in coulombs, and V is the voltage difference between the plates in volts.

And,

C = εA/d

where ε is the permittivity of the dielectric material in farads per meter, A is the area of each plate in square meters, and d is the distance between the plates in meters.

In a parallel plate capacitor, the electric field is found using the equation:

E = V/d

where E is the electric field in volts per meter, V is the voltage difference between the plates, and d is the distance between the plates.

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The microwave oven creates approximately 4.521 x [tex]10^{27[/tex] photons in one minute.

The energy of a photon is given by the equation:

E = hf,

where E is the energy of the photon, h is Planck's constant (6.626 x [tex]10^{-34[/tex]joule-seconds), and f is the frequency of the photon.

In this case, the frequency of the microwaves produced by the microwave oven is 2 GHz, or 2 x[tex]10^9[/tex] Hz.

The energy of each photon can be calculated as:

[tex]E = hf = (6.626 * 10^-34 J s) * (2 * 10^9 Hz) = 1.3252 * 10^-24 J[/tex]

In one minute, or 60 seconds, the microwave oven produces a total energy of:

[tex]E_total = (1,000 J/s) * (60 s) = 60,000 J[/tex]

The number of photons created can be calculated by dividing the total energy by the energy of each photon:

Photons =[tex]E_{total / E} = 60,000 J / (1.3252 * 10^-24 J) = 4.521 * 10^27 photons[/tex]

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--The complete Question is, g a microwave oven operates at 1,000 w. if all this energy is turned into 2 ghz microwaves, how many photons are created in 1 minute? --

The liquid's density in SI units is 1200 kg/m³.

To calculate the liquid's density in SI units for a 100 mL beaker holding 120 g of liquid, you can follow these steps:

Step 1: Identify the given values.
- Volume (V) = 100 mL
- Mass (m) = 120 g

Step 2: Convert the volume to SI units.
- 1 mL is equal to 1 cm³ (cubic centimeter)
- So, 100 mL = 100 cm³

Step 3: Convert the mass to SI units.
- 1 g is equal to 0.001 kg (kilogram)
- So, 120 g = 120 × 0.001 kg = 0.12 kg

Step 4: Use the density formula to calculate the liquid's density.
- Density (ρ) = Mass (m) / Volume (V)
- ρ = 0.12 kg / 100 cm³

Step 5: Convert the volume from cm³ to m³ (SI unit for volume).
- 1 cm³ = 0.000001 m³ (1 cm = 0.01 m)
- So, 100 cm³ = 100 × 0.000001 m³ = 0.0001 m³

Step 6: Calculate the density in SI units (kg/m³).
- ρ = 0.12 kg / 0.0001 m³
- ρ = 1200 kg/m³

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The amount of time in which the sun can warm the Earth affects the seasons by determining the amount of solar energy received by a specific region.

The sun can warm the Earth affects the seasons is influenced by the Earth's tilt on its axis and its position in orbit around the sun. During summer, the sun's rays are more direct, leading to longer daylight hours and increased warming. In winter, the sun's rays are less direct, resulting in shorter daylight hours and less warming. These variations in solar energy lead to the changes in temperature and weather patterns that define the different seasons.

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The mass of the sample with activity of 3.50 x 10⁹ Bq is found to be  0.128 g.

The decay of a radioactive sample is described by the exponential decay equation,

N(t) = No * (1/2)^(t/T), where, No is the initial number of radioactive nuclei, N(t) is the number of radioactive nuclei at time t, T is the half-life of the sample, and (1/2)^(t/T) is the fraction of nuclei that have decayed after time t.

The activity of a radioactive sample is defined as the number of decays per unit time and is given by as A = λ * N. For 60Co, the decay constant can be calculated from the half-life using the formula, substituting the given values, we get,

λ = ln(2) / 5.27 years ≈ 0.1319 year⁻¹

The activity of the sample is given as 3.50 x 10⁹ Bq.

A = 3.50 x 10⁹ decays/s

We can relate the activity of the sample to the number of radioactive nuclei using the formula,

A = λ * N

Substituting the values, we get,

3.50 x 10⁹ decays/s = 0.1319 year⁻¹ * N

Solving for N, we get,

N = A / λ = (3.50 x 10⁹ decays/s) / 0.1319 year⁻¹ ≈ 2.657 x 10¹⁰ nuclei

The mass of the sample can be calculated from the number of nuclei using the formula,

m = N * M / N_A, where, M is the molar mass of 60Co and N_A is Avogadro's number. The molar mass of 60Co is 59.9338 g/mol. Substituting the values, we get,

m = (2.657 x 10¹⁰ nuclei)*(59.9338 g/mol)/6.022 x 10²³ nuclei/mol ≈ 0.128 g. Therefore, the mass of the 60Co sample is approximately 0.128 g.

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Complete question - The half-life of 60Co is 5.27 years. The activity of a 60Co sample is 3.50 x 109 Bq. What is the mass of the sample?

A magnetic field strength of 0.2455 T will prevent the loop from rotating about the axle.

At the point when a current-conveying circle is set in a uniform attractive field, a force is applied on the circle making it turn. The force is given by the situation:

τ = N × A × B × sinθ

where N is the quantity of turns in the know, An is the region of the circle, B is the attractive field strength, and θ is the point between the attractive field and the typical to the circle.

To keep the circle from pivoting, the force should be adjusted by an equivalent and inverse force. This can be accomplished by putting a load on one edge of the circle.The weight will apply a gravitational force on the circle given by:

τ = mgd sinθ

where m is the mass of the weight, g is the speed increase because of gravity, d is the distance between the weight and the pivot of revolution, and θ is the point between the weight and the ordinary to the circle.

The circle will stay in harmony when these two forces are equivalent and inverse:

N × A × B × sinθ = mgd sinθ

Settling for B, we get:

B = (mgd)/(N × A)

Subbing the given qualities, we get:

B = (0.050 kg × 9.81 [tex]m/s^2[/tex] × 0.10 m)/(10 turns × (0.10 m × 0.20 m))

B = 0.2455 T

Subsequently, an attractive field strength of 0.2455 T will keep the circle from pivoting about the hub.

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If heat is escaping from the calorimeter when the water and unknown material are combined, then the measured specific heat will be less than the actual specific heat.

This is because some of the heat energy released by the unknown material will escape into the surroundings rather than being absorbed by the water in the calorimeter. This means that the amount of heat absorbed by the water will be less than the actual amount of heat released by the unknown material, resulting in a lower measured specific heat. To obtain an accurate measurement, it is important to ensure that the calorimeter is well-insulated and that all heat energy released by the unknown material is absorbed by the water in the calorimeter.

When heat is escaping from the calorimeter during the experiment with water and an unknown material, the measured specific heat will be less than the actual specific heat. This is because the calorimeter will not accurately account for the heat that was lost, leading to a lower calculated value for specific heat.

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Approximately 2,859.5 kg of silver plates onto the cathode when a current of 7.3 A flows through the cell for 64 minutes.

To determine the mass of silver plates onto the cathode, we need to know the amount of electric charge that passed through the cell.

Electric charge, Q = I x t, where I is the current and t is the time.

So, Q = 7.3 A x (64 x 60) s = 26,496 C

The amount of silver plated on the cathode can be calculated using Faraday's law of electrolysis, which states that the mass of a substance deposited on an electrode is directly proportional to the amount of electric charge passed through the cell and the electrode's equivalent weight.

The equivalent weight of silver is 107.9 g/equiv, and one electron is required to deposit one silver ion on the cathode.

Thus, the mass of silver plated on the cathode is:

Mass = (Q / n) x EW, where n is the number of electrons per equivalent (in this case, n = 1).

Substituting the values, we get:

Mass = (26,496 C / 1) x (107.9 g/equiv) = 2,859,526.4 g = 2,859.5 kg (rounded to one decimal place).

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Viscosity is the measure of a fluid's resistance to flow. It describes how thick or sticky a fluid is and how easily it flows.

The thicker or more viscous the fluid, the greater the resistance to flow.

Viscosity is often referred to as the internal friction of a fluid, and it is affected by factors such as temperature, pressure, and composition.

Viscous drag is a force that opposes the motion of an object moving through a fluid. It is caused by the viscosity of the fluid and is directly proportional to the speed of the object.

In contrast, inviscid refers to a fluid with zero viscosity. This type of fluid would have no resistance to flow, and there would be no viscous drag.

The SI unit of viscosity is the pascal-second (Pa·s). It is defined as the force required to move one square meter of fluid with a velocity of one meter per second, divided by the area and the velocity gradient.

Other common units of viscosity include centipoise (cP) and millipascal-second (mPa·s).

Viscosity is an important property of fluids and is used to describe a wide range of materials, from honey to motor oil to lava.

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The fundamental discovery of fluorescence is that the emitted photon of light has less energy than the photon of light that was initially absorbed.

When a substance passes through fluorescence, it emits light after having absorbed light or other electromagnetic radiation. It is luminous in appearance. Energy is lost because of vibrational relaxation. Fluorescent bands center at longer wavelengths than the resonance line. This change toward longer wavelengths is known as a Stokes shift.

Fluorescent lights are more effective than incandescent bulbs of a same brightness. Because a greater fraction of the energy used is converted to useful light and a lesser portion is transformed to heat, fluorescent lamps can operate cooler.

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Assuming that the planet is a closed system with no external forces, the statement "angular momentum about the center of the planet is conserved" is: true.

Angular momentum is a physical quantity that is conserved in a closed system, meaning that it remains constant as long as no external forces act on the system. The angular momentum of an object is its tendency to keep rotating about an axis, and is determined by the object's mass, velocity, and distance from the axis of rotation.

In the case of a planet, its angular momentum is determined by the mass, velocity, and distance of all the objects that make up the planet. As long as there are no external forces, the planet's angular momentum will remain constant.

This principle can be applied to various planetary phenomena, such as the rotation of planets, the movement of asteroids, and the formation of planetary rings.

However, if there are external forces acting on the planet, such as gravitational or tidal forces from other celestial bodies, the conservation of angular momentum may no longer hold true.

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Answer:

C. Satellite Y is experiencing a greater gravitational force than satellite

Explanation:

the more closer an object is to the surface of the Earth the more gravitational for it will feel.

If you look at the equation Fg = (Gm1m2)/r^2, the smaller the r (distance between center of 2 objects) the greater the gravitational force.

Based on the information, B. The temperature is not rising because the heat is being used to break the connections between the molecules.

The average kinetic energy of its molecules directly relates to the temperature of a material, not the potency of the intermolecular bonds between them.

By heating up a substance, it causes the kinetic energy of its molecules to grow, which makes them vibrate and move what much faster than before. Though this increased motion can disrupt said intermolecular bonds, it does not take heat energy from them in order to destroy them. Instead, that heat energy is taken in by the particles, transforming it into kinetic energy.

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The manipulation of charges in electronic devices is achieved through various physical principles like electric and magnetic fields, as well as the design of the device itself. By understanding these principles and using them effectively, we can construct sophisticated electronic devices that meet a wide range of needs and applications.

Electronic devices are constructed fundamentally around the physics of controlling the location and movement of charges, and how it is possible to manipulate the location and movement of these charges.

Electronic devices control the location and movement of charges mainly through semiconductors and electric fields. Semiconductors are materials, like silicon, that have properties between conductors and insulators.

By manipulating their properties through a process called doping, engineers can create specific charge carriers (electrons or holes) that enable the control of current flow in the semiconductor.

In electronic devices, charge movement is typically controlled by applying an electric field. The electric field is created by a voltage difference across a semiconductor or other conductive material. When a voltage is applied, the electric field exerts a force on the charges, causing them to move in a particular direction.

The charges will continue to move as long as the electric field is maintained.

Transistors, which are the building blocks of modern electronics, utilize these principles to control charge flow. They have three terminals: the source, drain, and gate. When a voltage is applied to the gate, it controls the flow of charges between the source and the drain, essentially acting as a switch.

In summary, electronic devices manipulate the location and movement of charges through the use of semiconductors, doping, and electric fields. By controlling the flow of charges in a controlled manner, these devices can perform a wide range of functions and applications.

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The Doppler effect is the change in frequency or wavelength of a wave in relation to an observer who is moving relative to the wave source.

It is named after Austrian physicist Christian Doppler, who first described the phenomenon in 1842.

If the source and detector are moving toward each other, the frequency of the wave will appear higher to the detector than it actually is, and the wavelength will appear shorter. This is known as the "blue shift" because the shift is toward the higher-frequency, shorter-wavelength end of the electromagnetic spectrum.

If the source and detector are moving away from each other, the frequency of the wave will appear lower to the detector than it actually is, and the wavelength will appear longer. This is known as the "red shift" because the shift is toward the lower-frequency, longer-wavelength end of the spectrum.

The perceived frequency increases as the source and detector approach each other, and decreases as they move away from each other. This trend can be observed in various phenomena, such as the changing pitch of a siren as an ambulance approaches and passes by, or the red shift seen in light from distant galaxies that are moving away from us due to the expansion of the universe.

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The magnitude of the displacement vector is 1000 meters.

Magnitude of displacement vector = √(x² + y²)

where x = -600 m and y = 800 m.

Substituting these values, we get:

Magnitude of displacement vector = √((-600 m)² + (800 m)²)

= √(360,000 m² + 640,000 m²)

= √1,000,000 m²

= 1000 m

It is defined as the distance and direction between an object's initial and final positions. The displacement vector is represented by an arrow pointing from the initial position to the final position of the object. Displacement can be calculated using the formula: Δr = r₂ - r₁, where Δr is the displacement vector, r₁ is the initial position vector, and r₂ is the final position vector.

Displacement is different from a distance, which is the total length of the path covered by an object.  For example, if an object moves in a circular path and returns to its initial position, its displacement will be zero, but its distance traveled will be nonzero.

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The δg values calculated at room temperature and ice-bath temperature can be used to determine whether the solvation of borax favors products or reactants.

If the δg value at room temperature is negative, it means that the reaction favors the products, while if it is positive, the reaction favors the reactants. On the other hand, if the δg value at ice-bath temperature is negative, it means that the reaction favors the reactants, while if it is positive, the reaction favors the products.

Therefore, by comparing the δg values calculated at room temperature and ice-bath temperature, we can determine whether the solvation of borax favors the products or the reactants. If the δg value is more negative at room temperature than at ice-bath temperature, it means that the solvation of borax favors the products. Conversely, if the δg value is more negative at ice-bath temperature than at room temperature, it means that the solvation of borax favors the reactants.

In summary, the solvation of borax may favor the products or the reactants depending on the temperature and the δg values calculated.

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We can use Coulomb's Law, which states that the electric force between two charged particles is directly proportional to the product of their charges and inversely proportional to the square of the distance between them. In this case, we can assume that the particles have charges q and q, and are separated by a distance d.

Given that the electric force on one of the particles is F, we can use Coulomb's Law to calculate the magnitude of the charge on each particle. First, we need to find the electric field E at the location of the particle, which is given by E = F/q.

Next, we can use the formula for the electric field of a point charge, which is E = kq/r^2, where k is Coulomb's constant and r is the distance from the charge. Since the two particles have the same magnitude of charge, we can write the equation as E = kq/d^2.

Setting these two equations equal to each other and solving for q, we get q = sqrt(Fd^2/k). Therefore, the magnitude of the charge on each particle is given by q = sqrt(Fd^2/k).

In summary, if two tiny particles carrying like charges of the same magnitude are apart, and the electric force on one of them is F, the magnitude of the charge on each particle is q = sqrt(Fd^2/k).

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A hydraulic press is used to exert a small force of magnitude f on a liquid, which is transmitted to a larger piston. A force of 85 N on the small piston will balance a 36.2 kN force on the large piston.

In a water driven framework, the tension is communicated consistently all through the encased fluid, so the strain on the two cylinders is something similar. Accordingly, we can utilize the condition:

P = F/A

where P is the tension, F is the power, and An is the cross-sectional region of the cylinder.

We should name the more modest cylinder as cylinder 1 and the bigger cylinder as cylinder 2. We know the distances across of the cylinders, so we can compute their cross-sectional regions:

A1 = (pi/4) * [tex](0.0447 m)^2[/tex] = [tex]6.24 * 10^_-4} m^2[/tex]

A2 = (pi/4) * [tex](0.583 m)^2[/tex] = 0.266 [tex]m^2[/tex]

We are given that a 36.2 kN force follows up on cylinder 2, so we can track down the tension:

P = F/A2 = 36.2 x[tex]10^3[/tex] N/0.266 [tex]m^2[/tex]= 136 x [tex]10^3[/tex]Dad

Since the tension is similar on the two cylinders, we can track down the power on cylinder 1:

F = P * A1 = 136 x[tex]10^3[/tex]Dad * 6.24 x [tex]10^_-4} m^2[/tex] = 85 N

Hence, a power of 85 N on the little cylinder will adjust a 36.2 kN force on the huge cylinder.

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Based on Newton's third law of motion, the forces exerted by the Earth and the person are the same.

Newton's third law states that for every action, there is an equal and opposite reaction. In this case, the gravitational force exerted by the Earth on the person is equal in magnitude and opposite in direction to the gravitational force exerted by the person on the Earth.

The force of gravity is proportional to the masses of the two objects and inversely proportional to the square of the distance between them. Since the mass of the earth is much greater than the mass of a person, the force exerted by the earth is much larger.

However, the person is also exerting a force on the earth, and since the forces are equal and opposite, they cancel each other out.

Therefore, the forces exerted by the earth and the person are the same, as per Newton's third law of motion.

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The atomic clock within a GPS satellite would tick more quickly than the one at the GPS ground station close to Colorado Springs, according to general theory of relativity.

This is owing to the fact that time dilation is caused by the strength of the gravitational field, and the clock in orbit experiences a weaker gravitational field than the one on the ground. According to Einstein's theory of general relativity, time moves more slowly for clocks near heavy objects than it does for clocks farther away.

When compared to the GPS ground control station near Colorado Springs, which is located at an elevation of 1830 m, the GPS satellite in this instance is at a higher altitude of 20200 km, which is farther from the enormous object Earth. hence, the When compared to the GPS ground control station on Earth, the atomic clock onboard the GPS satellite would experience a less gravitational field and operate more quickly.

The exact timekeeping necessary for the accurate operation of the GPS system, which depends on precise time measurements to determine positions, must take this influence into consideration.

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A gannet is a seabird that fishes by diving from a great height. If a gannet hits the water at 32 m/s, we have to find the height it dived from, assuming that the gannet was motionless before starting its dive.

The gannet hits the water at 32 m/s. We can use the equation for free-fall motion:

[tex]v^{2} -u^{2} =2gh[/tex]

where v is the final velocity (which is 32 m/s in this case), u is the initial velocity (which is 0 m/s since the gannet was motionless), g is the acceleration due to gravity (which is approximately 9.8 m/s^2), and h is the height that the gannet dived from.

Rearranging the equation to solve for h, we get:

[tex]h=\frac{v^{2} -u^{2}}{2g}[/tex]

Substituting the given values, we get:

[tex]h=\frac{32^{2} -0^{2}}{2*9.8}[/tex]

= 52.24 metres

Therefore, the gannet dived from a height of approximately 52.24 metres.

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Answer:

Momentum of car = -100 kgm/s = p1

Momentum of jeep = 200kgm/s = p2

Total momentum = Momentum of object 1 + Momentum of object 2

                   pnet   = p1 + p2

                              = -100 + 200

                              = 100 kgm/s

So the total momentum after a crash is 100 kgm/s.

For more details on momentum you can refer to this link :

https://brainly.com/question/9425125