A plane flies from city A to city B. City B is 1540 km west and 1160 km south of city A. What is the total displacement of the plane?

Answers

Answer 1

According to the question the total displacement of the plane is 2041.7 km.

What is displacement?

Displacement is the measure of an object's change in position over time. It is a vector quantity, meaning it contains both magnitude (size) and direction. Displacement is determined by calculating the change in position from an object's initial to final position. It is not to be confused with distance, which is a scalar quantity that only contains magnitude.

The total displacement of the plane is the distance between city A and city B. To calculate this, we need to use Pythagorean theorem to find the hypotenuse of the right triangle formed by the two cities.
The side lengths of the triangle are 1540 km (west) and 1160 km (south). The hypotenuse of the triangle is the total displacement of the plane, and can be calculated using the formula:
d = √(1540² + 1160²) = 2041.7 km
Therefore, the total displacement of the plane is 2041.7 km.

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Related Questions

the earth intercepts about 4 x 10^ kg of interplanetary dust per year. estimate tbe equivalent radius of a spherical body with the above mass (assume a density of 3000 kg m-3).

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Equivalent radius of a spherical body intercepting 4 x 10^9 kg of interplanetary dust per year is approximately 107 meters.

What is the equivalent radius of a spherical body intercepting 4 x 10^9 kg of interplanetary dust per year assuming a density of 3000 kg/m^3?

To estimate the equivalent radius of a spherical body with a mass of 4 x 10^9 kg, we can use the formula for the volume of a sphere:

V = (4/3)πr^3

where V - volume and r - radius.

Rearranging this formula to solve for radius:

r = [(3V) / (4π)]^(1/3)

The mass of the spherical body can be calculated from its density and volume:

m = ρV

where ρ is the density.

Rearranging this formula to solve for V and substituting it into the first formula, we get:

r = [(3m) / (4πρ)]^(1/3)

Substituting the given values, we have:

m = 4 x 10^9 kg

ρ = 3000 kg/m^3

Putting into the formula above, we will get:

r = [(3 x 4 x 10^9) / (4π x 3000)]^(1/3)

= [(3/4) x (4 x 10^9) / π / 3000]^(1/3)

= (10^9 / (3π x 1000))^(1/3)

≈ 107 meters

Therefore, the equivalent radius of the spherical body intercepting 4 x 10^9 kg of interplanetary dust per year is approximately 107 meters.

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four identical planets are arranged in a square as shown. if the mass of each planet is m and the edge length of the square is a, what must be their speed if they are to orbit their common center under the influence of their mutual attraction?

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Therefore, the speed required for the four identical planets to orbit their common center is √(2Gm/a).

To find the speed required for the four identical planets to orbit their common center, we can use the formula for the gravitational force between two objects:

F = G(m1*m2/r²)

where F is the force, G is the gravitational constant, m1 and m2 are the masses of the two objects, and r is the distance between them.

For the four planets, each planet is attracted towards the center of mass, which is located at the center of the square. The distance between each planet and the center of mass is a/2, where a is the edge length of the square. So, the gravitational force between each planet and the center of mass is:

F = G(m*m/(a/2)²)

= 4Gm²/a²

The planets will orbit the center of mass if this force is balanced by the centripetal force required for circular motion:

F = mv²/r

where m is the mass of the planet, v is its velocity, and r is the radius of the orbit. In this case, the radius of the orbit is the distance between the planet and the center of mass, which is a/2.

Equating these two forces, we get:

4Gm²/a² = mv²/(a/2)

Simplifying this expression, we get:

v = √(2Gm/a)

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star a has apparent magnitude 1, while star b has apparent magnitude -1. based only on this information, what can be said about these two stars?

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The apparent magnitude of a star is a measure of its brightness as observed from Earth. The lower the apparent magnitude, the brighter the star appears.

Given that star A has an apparent magnitude of 1 and star B has an apparent magnitude of -1, it can be inferred that star B is brighter than star A. In fact, star B is about 2.5 times brighter than star A, as each decrease in apparent magnitude by 1 corresponds to a brightness increase of about 2.5 times. However, it's important to note that the apparent magnitude of a star can be affected by factors such as distance and extinction due to interstellar dust.

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14. change the frequency while watching the waveforms. does changing the frequency change the amplitude? what kinds of sounds do we associate with higher frequencies? lower frequencies?

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When you change the frequency while watching waveforms, you are essentially changing the pitch of the sound. Changing the frequency does not necessarily change the amplitude of the waveform. However, if you are adjusting a filter that affects both frequency and amplitude, then changing the frequency may indirectly affect the amplitude as well.

Higher frequencies are typically associated with sounds that are high-pitched, such as bird chirping, whistles, or the sound of a violin. Lower frequencies, on the other hand, are associated with sounds that are low-pitched, such as bass drums, deep voices, or the sound of thunder.

It's important to note that the perception of high and low frequencies varies from person to person, and it can also depend on the context in which the sound is being heard. For example, what sounds high-pitched to one person may sound normal to another, or what sounds low-pitched in one song may sound high-pitched in another.

To answer your question: Changing the frequency while watching the waveforms does not change the amplitude. The frequency and amplitude are independent properties of a waveform.

Higher frequencies are associated with high-pitched sounds, such as a bird chirping or a whistle. Lower frequencies are associated with low-pitched sounds, such as a bass guitar or a rumbling thunder.

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suppose two stars in the sky have the same apparent magnitude. one star is classified as m5 ib. the other is classified as m5 v. the star that has the greatest luminosity is the one classified as

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The other is classified as m5 v. the star that has the greatest luminosity is the one classified as M5 Ib.

                      Magnitude - Distance Formula

used to give the connection between the obvious extent, the outright size and the distance of items.

Formula: m-M equals -5 + 5 Log (d),

                       where: The apparent magnitude of m is M5 lb.

How could two stars have a similar extent?

Motion diminishes with distance as indicated by a converse square regulation, so the obvious size of a star relies upon the two its outright brilliance and its distance (and any eradication). For instance, the apparent magnitude of a star at one distance will be the same as that of a star four times as bright at twice that distance.

What is the relationship between magnitude and two stars?

A distinction of one greatness between two stars implies a consistent proportion of brilliance. As such, the splendor proportion between a fifth size star and a sixth extent star is equivalent to the brilliance proportion between a first greatness star and a second size star.

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Where are the electrons used in photosystem ii found at the very end of the light reactions?.

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The electrons used in photosystem II are found in the electron transport chain at the end of the light reactions.

What is electrons ?

Electrons are the negatively charged particles that orbit around the nucleus of an atom. They are the smallest and lightest particles in an atom and are believed to have a mass of less than 1/1836th of a proton. Electrons have an electrical charge of -1, while protons have a positive charge of +1. Electrons move around the nucleus of an atom in a set of energy levels called orbitals. Electrons are important for chemical reactions, as they are what determine how elements bond together to form molecules. Electrons are also responsible for the flow of electricity in electrical circuits.

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how can i define Thermal (Internal) Energy?

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Answer:

The thermal energy of the system is the average kinetic energy of the system's constituent particles due to their motion. The total internal energy of the system is the sum of the kinetic energies and the potential energies of its constituent particles.

two small spheres, each with a mass of 3.0 kg, are placed 6.0 m apart. which of the following is the order of magnitude of the gravitational attraction between them?

Answers

Order of magnitude of gravitational force between two 3.0 kg spheres placed 6.0 m apart is approximately [tex]10^{-11} N[/tex].

What is the order of magnitude of gravitational force between two 3.0 kg spheres placed 6.0 m apart?

The formula for gravitational force between two masses is:

F =

[tex]G * (m1 * m2) / r^2[/tex]

Where:

G - Gravitational constant ([tex]6.67 x 10^{-11} N*m^{2}/kg^2[/tex])

m1, m2 - Masses of 2 objects

r - Distance bet. the centers of 2 objects

Putting values given, we will get:

[tex]F = (6.67 x 10^{-11}) * (3.0 kg)^2 / (6.0 m)^2[/tex]

Simplifying this expression, we get:

[tex]F = 5.55 x 10^-11 N[/tex]

Therefore, the order of magnitude of the gravitational attraction between the two spheres is approximately 10^-11 N.

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Given the standard enthalpy changes for the following two reactions, what is the standard enthalpy change for the overall reaction?
1. 2C(s)+H2(g)--->C2H2(g) DH= 226.7kJ
2. 2C(s)+2H2(g)--->C2H4(g) DH=52.3kJ
Overall reaction= C2H2(g) + H2(g)--->C2H4(g_

Answers

The standard enthalpy change for the overall reaction is -174.4 kJ. This can be found by subtracting the enthalpy change for reaction 2 from reaction 1, since reaction 1 produces the reactants for reaction 2.

To find the enthalpy change for the overall reaction, we need to consider the enthalpy changes for each individual reaction and how they relate to each other.

In reaction 1, 2 moles of carbon (C) and 1 mole of hydrogen gas (H2) react to form 1 mole of ethyne (C2H2), with a standard enthalpy change of 226.7 kJ.

In reaction 2, 2 moles of carbon and 2 moles of hydrogen gas react to form 1 mole of ethene (C2H4), with a standard enthalpy change of 52.3 kJ.

To find the enthalpy change for the overall reaction, we need to combine these two reactions in a way that cancels out the intermediates (C and H2) and leaves us with the desired products (C2H2 and H2). We can do this by reversing reaction 2 and adding it to reaction 1:

C2H2(g) + H2(g) + 52.3 kJ <---- 2C(s) + 2H2(g)

2C(s) + H2(g) + 226.7 kJ ----> C2H2(g)

--------------------------------------

2C(s) + 3H2(g) + 279 kJ ----> C2H4(g)

Now, we can see that the intermediates (2C(s) and 2H2(g)) cancel out, leaving us with the desired product, C2H4(g), and the enthalpy change for the overall reaction is -174.4 kJ.

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A pendulum of mass 5. 0 kg hangs in equilibrium. A frustrated student walks up to it and kicks the bob with a horizontal force of 30. 0 n applied over 0. 30 seconds. What is the length of the pendulum if it has a period of 5. 0 seconds? what is the maximum angle of displacement of the swinging pendulum?.

Answers

If a pendulum of mass 5.0 kg hang in equilibrium then the maximum angle of displacement of the swinging pendulum is approximately 0.058 radians.

To answer this question, we first need to understand the concept of a pendulum and how it swings. A pendulum is a weight suspended from a fixed point that swings back and forth due to the force of gravity. The length of the pendulum affects the time it takes for one complete swing, also known as the period. The longer the pendulum, the longer the period.
In this case, the pendulum has a mass of 5.0 kg and is in equilibrium before being kicked by a force of 30.0 N applied over 0.30 seconds. This force will cause the pendulum to move from its equilibrium position, and then it will swing back and forth due to the force of gravity.
To find the length of the pendulum, we can use the formula T=2π√(L/g), where T is the period, L is the length of the pendulum, and g is the acceleration due to gravity (9.81 m/s^2). Plugging in the values given, we get:
5.0 = 2π√(L/9.81) * (1/5.0)
Solving for L, we get:
L = (5.0/π)^2 * 9.81
L ≈ 24.52 meters
Therefore, the length of the pendulum is approximately 24.52 meters.
To find the maximum angle of displacement of the swinging pendulum, we can use the formula θ = sin^-1(a/L), where θ is the maximum angle of displacement, a is the amplitude (half the distance between the highest and lowest points of the pendulum's swing), and L is the length of the pendulum. Since we don't know the amplitude, we'll assume that it's small enough to use the small-angle approximation, which states that sinθ ≈ θ for small angles.
Using this approximation, we can write:
θ = a/L ≈ (1/2) * (30.0/5.0) * (0.30/24.52)
θ ≈ 0.058 radians
Therefore, the maximum angle of displacement of the swinging pendulum is approximately 0.058 radians.

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find the force on a positive point charge q located a distance x from the end of a rod of length l with unofrmly distrubred positive charge q

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The force on a positive point charge q located a distance x from the end of a rod of length l with uniformly distributed positive charge q is F = (1/(4πε₀))(qq₁/l²)*((x-l)/|x-l| + x/|x|).

First, we need to calculate the force dF between a small element of the rod and the point charge q. Let dq be the charge of an element of length dx located at a distance y from the origin, and let r be the distance between this element and q.

Then, by Coulomb's law, the force on q due to this element is:

dF = (1/(4πε₀))(qdq/r²)

where ε₀ is the electric constant.

We can express r in terms of y and x as:

r = √((x-y)² + z²)

where z is the distance from the element to the axis of the rod. Since the rod is uniformly charged, we can assume that z is constant and equal to l/2.

Therefore, we have:

r = √((x-y)² + (l/2)²)

The total force on q is then the sum of the forces due to all the elements of the rod, integrated over the length of the rod:

F = ∫dF = (1/(4πε₀))q∫(dq/(x-y)²)*√((x-y)² + (l/2)²)dy

We can simplify the integral by substituting u = x-y, which gives:

F = (1/(4πε₀))q∫(dq/u²)*√(u² + (l/2)²)du

Next, we need to express dq in terms of u. Since the charge density of the rod is constant, we have:

dq = (q₁/l)dx

where q₁ is the total charge of the rod.

We can express dx in terms of du as:

dx = -du

since u is decreasing from l to -l as we integrate along the rod.

Substituting these expressions into the integral, we get:

F = -(1/(4πε₀))(qq₁/l²)∫du/(u²√(u² + (l/2)²))

To solve this integral, we can make the substitution v = u/(l/2), which gives:

F = -(1/(4πε₀))(qq₁/l²)∫(2/l)/(v²√(1+v²))dv

We can then use the substitution w = √(1+v²), which gives:

F = -(1/(4πε₀))(qq₁/l²)*∫2/(w²-1)dw

This integral can be solved using partial fractions:

F = -(1/(4πε₀))(qq₁/l²)∫(1/2)(1/(w-1) - 1/(w+1))dw

F = -(1/(4πε₀))(qq₁/l²)*[(1/2)*ln|w-1| - (1/2)*ln|w+1|] + C

where C is the constant of integration.

Substituting back for w and simplifying, we get:

F = (1/(4πε₀))(qq₁/l²)*[(x-l)/|x-l| + x/|x|]

This is the final expression for the force on the point charge q due to the uniformly distributed charge on the rod.

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astronomers use radio telescopes to study radio waves that come from other planets, stars, and galaxies. these radio waves allow astronomers to learn about the:

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By analyzing the radio waves, astronomers can learn about the composition, temperature, and motion of celestial bodies.

For example, radio telescopes can detect molecular clouds and determine their chemical makeup, which is crucial for understanding star formation and the development of planetary systems. Additionally, radio waves reveal information about stellar and galactic magnetic fields, which play a significant role in shaping the structure and dynamics of galaxies.

Moreover, radio telescopes enable astronomers to study active galactic nuclei, pulsars, and black holes, offering essential clues about their properties and behavior. By observing the radio emission from these objects, scientists can deduce their energy and mass, improving our understanding of the extreme conditions that govern them.

Thus, radio telescopes are a vital tool for astronomers, as they allow the study of various celestial objects and processes. The analysis of radio waves contributes to our knowledge of the universe's structure and evolution, enhancing our understanding of the cosmic entities that populate it.

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A 4-A current is maintained in a simple circuit with a total resistance of 2 Ω. How much energy is delivered in forty five seconds?

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The energy delivered in a circuit can be calculated using the formula: E = [tex]I^2 * R * t[/tex] , where E is the energy in joules (J), I is the current in amperes (A), R is the resistance in ohms (Ω), and t is the time in seconds (s).

The formula[tex]E = I^2 * R * t[/tex] is used to calculate the amount of energy delivered in a circuit. It takes into account the current flowing through the circuit, the resistance offered by the circuit, and the duration of time for which the current flows. The unit of energy is joules, which is the product of the unit of current squared (amperes squared), the unit of resistance (ohms), and the unit of time (seconds). This formula is derived from the basic principle of electric power, which states that the power delivered to a circuit is equal to the product of the voltage and current flowing through it. By multiplying the power by the time, we get the energy delivered over that time period. This formula is useful for calculating the energy consumed or delivered by various electrical appliances or devices in everyday life.

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A projectile is fired horizontally in a vacuum. The projectile maintains its horizontal component of speed because it

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A projectile fired horizontally in a vacuum maintains its horizontal component of speed because there is no force acting on it in the horizontal direction.

When a projectile is fired horizontally in a vacuum, there is no air resistance to slow it down, and no force acting on it in the horizontal direction. This means that the horizontal component of its velocity will remain constant, and the projectile will continue to move forward at a constant speed. The only force acting on the projectile is gravity, which causes it to follow a curved path known as a parabola. As long as the projectile remains in the vacuum, it will continue to move forward with a constant horizontal component of velocity.

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block a is set on a rough horizontal table and is connected to a horizontal spring that is fixed to a wall, as shown. block a is then also connected to hanging block b by a lightweight string that passes over an ideal pulley, as shown. the friction force exerted on block a by the table is not negligible. the blocks are initially held at rest so that the spring is not stretched. when the blocks are released, hanging block b moves downward and block a on the table moves to the right until the system comes again to rest. let e1 be the mechanical energy of the blocks-spring system, and let e2 be the mechanical energy of the blocks-spring-earth system. how do these two energies change from when the blocks are held at rest to when the blocks come to rest again? blocks-spring system blocks-springs-earth system a increases decreases b decreases increases c remains constant decreases d remains constant remains constant

Answers

The mechanical energy of the blocks-spring system remains constant, while the mechanical energy of the blocks-spring-earth system decreases.

What is Energy?

Energy is a fundamental physical property that describes the ability of a system to do work. It can exist in various forms, such as kinetic energy, potential energy, thermal energy, electrical energy, and many others. In general, energy is conserved in a closed system, which means that it cannot be created or destroyed, but only transformed from one form to another.

When the blocks are held at rest, there is no potential energy stored in the spring, so the mechanical energy of the blocks-spring system is entirely kinetic energy, which remains constant throughout the motion. However, during the motion, the blocks lose some mechanical energy to the friction force exerted by the table, causing the mechanical energy of the blocks-spring-earth system to decrease.

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Your hands should be placed on the steering wheel at what position on the clock?

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The recommended hand position on the steering wheel is at 9 and 3 o'clock or 8 and 4 o'clock. This hand position provides better control and leverage for steering, especially in emergency situations. It also helps to reduce the risk of injury from the airbag in case of an accident.

If you need your right hand, the left will remain at 7 or 8 o’clock. Alternatively, if you need your left hand, the right would stay between 3 and 4 o’clock. This positioning helps you to remain steady while driving down the road. Plus, you can quickly return the other hand to its position when it’s needed. There are also times when it makes sense to use a 12 o’clock position, but not often. If you need to back out of a parking space and it requires turning around to see what’s behind you, place one hand at 12 o’clock temporarily. You should look back even if you have a reverse camera. Once you have safely maneuvered out of the space, put your hands back in the original position.

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degeneracy pressure arises when _____.

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Answer:

The electron degeneracy pressure is a type of pressure that arises when electrons are packed as tightly as the laws of quantum physics allow.

Explanation:

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Final answer:

Degeneracy pressure occurs when a system of fermions reaches a high density, forcing fermions into the same quantum state. The Pauli Exclusion Principle prevents this, causing a 'pressure'. This concept is fundamental in understanding the stability of white dwarf stars.

Explanation:

Degeneracy pressure arises when a system of fermions (particles such as electrons, protons, and neutrons) reaches an extremely high density. This is a result of the Pauli Exclusion Principle, which states that no two identical fermions can occupy the same quantum state simultaneously. For example, in a white dwarf star when gravitational collapse continues to the extent that electrons are pressed close together, the system becomes so dense that many of the electrons try to occupy the same quantum state. But due to Pauli Exclusion Principle they can't, and they exert a 'pressure' - this is the degeneracy pressure. It is the degeneracy pressure that prevents white dwarf stars from collapsing under their own gravitational pull.

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how long do you need to make an whose fundimental freqency is a c sharp? the pipe is closed on one end and the seed of sound in air is 340 m/s

Answers

According to the given statement we need a closed pipe with a length of 0.92 meters to produce a C sharp note with a frequency of 277 Hz.

To determine the length of a pipe that produces a C sharp note, we need to consider the frequency of the note and the speed of sound in air. C sharp has a frequency of 277 Hz, which means that the sound wave vibrates 277 times per second.
The formula to calculate the length of a closed pipe that produces a specific frequency is L = (4/3) x wavelength, where wavelength = 2 x length of the pipe. We can rearrange the formula to calculate the length of the pipe:
Length of pipe = wavelength/2 = (3/4) x wavelength
The wavelength of a sound wave can be calculated by dividing the speed of sound by the frequency of the note:
Wavelength = Speed of sound/frequency = 340 m/s / 277 Hz = 1.23 m
Therefore, the length of the pipe needed to produce a C sharp note with a frequency of 277 Hz is:
Length of pipe = (3/4) x 1.23 m = 0.92 m
In summary, we need a closed pipe with a length of 0.92 meters to produce a C sharp note with a frequency of 277 Hz.

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two long wires cross each other at the origin of the x-y plane. the wire along the x-axis has a current in the negative x direction of 4.50 a. the wire along the y-axis has a current in the positive y direction of 1.75 a. what is the direction and magnitude of the magnetic field at (3.00, -2.50) cm? at (-3.00, -2.50) cm? 2.43x10-5 t, 4.77x10-5 t along

Answers

-3 x10^-7 along -x axis and  -1.4 x 10^-7 along -y axis are the direction and magnitude of the magnetic field at (3.00, -2.50) cm.

How do magnetic fields work?

The area in which the force of magnetism acts around a magnetic material or a moving electric charge is called the magnetic field.

The magnetic influence on moving electric charges, electric currents, and magnetic materials is described by a magnetic field, which is a vector field. A force perpendicular to the magnetic field and its own velocity acts on a moving charge in a magnetic field.

B = μ0I/(2πr)

μ0 is 4π x 10^-7 N/A2

At -3.00cm,

B = μ0I/(2πr)

B = 4π x 10^-7 x 4.5/(2 x 3.14 x -3)

 B = - 3 x10^-7

At -2.5cm,

B = 4π x 10^-7 x 1.75/(2π x -2.5)

B = -1.4 x 10^-7

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Wave motion that is parallel to wave direction describes a.

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Wave motion parallel to wave direction describes a longitudinal wave. In a longitudinal wave, the particles of the medium move parallel to the direction of the wave's propagation.

In a longitudinal wave, the particles of the medium move parallel to the direction of the wave's propagation. This motion causes compressions and rarefactions in the medium. Compressions are areas where the particles are close together, while rarefactions are areas where particles are farther apart.

Sound waves are a common example of longitudinal waves. As sound waves travel through a medium like air or water, the particles within the medium vibrate back and forth in the same direction as the wave, creating alternating regions of compressions and rarefactions. This process allows the wave to transfer energy through the medium without displacing the medium itself over large distances.

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from the viewpoint of an observer in the orbiting rocket, what happens to time on the other rocket as it falls toward the event horizon of the black hole? view available hint(s)for part a from the viewpoint of an observer in the orbiting rocket, what happens to time on the other rocket as it falls toward the event horizon of the black hole? time runs increasingly faster as the rocket approaches the black hole. time runs increasingly slower as the rocket approaches the black hole. time is always the same on both rockets.

Answers

Time runs increasingly slower as the rocket approaches the black hole would happens to time on the other rocket as it falls toward the event horizon of the black hole.

Option B is correct.

Inside a black hole's event horizon, how does time change?

As you draw nearer to a dark opening, the progression of time dials back, contrasted with stream of time a long way from the opening. ( This effect is produced by any massive body, including the Earth, according to Einstein's theory.

What does the black hole contain?

Dark openings have two sections. You can think of the event horizon as the surface; however, it is simply the point at which the gravity becomes too strong for anything to escape. The singularity then occupies the center. That is the word we use to portray a point that is endlessly little and boundlessly thick.

Incomplete question:

From the viewpoint of an observer in the orbiting rocket, what happens to time on the other rocket as it falls toward the event horizon of the black hole? view available hint(s)for part a from the viewpoint of an observer in the orbiting rocket, what happens to time on the other rocket as it falls toward the event horizon of the black hole?

A. time runs increasingly faster as the rocket approaches the black hole.

B. time runs increasingly slower as the rocket approaches the black hole.

C. time is always the same on both rockets.

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Three resistors - R1, R2, and R3 - are connected in series to a battery. Suppose R1 carries a current of 2.0 A, R2 has a resistance of 3 ohms, and R3 dissipates 6.0 W of power. What is the voltage across R3?
A) 1.0 V
B) 3.0 V
C) 6.0 V
D) 12 V

Answers

Three resistors - R1, R2, and R3 - are connected in series to a battery. Suppose R1 carries a current of 2.0 A, R2 has a resistance of 3 ohms, and R3 dissipates 6.0 W of power. The voltage across R3 is 3.0 V.

In a series circuit, the same current flows through each resistor. Ohm's Law states that voltage (V) is equal to current (I) times resistance (R), or V = IR. Therefore, to find the voltage across R3, we need to know the current flowing through the circuit and the resistance of R3.
Since R1 carries a current of 2.0 A and the current is the same throughout the circuit, we know that the current flowing through R2 and R3 is also 2.0 A.
To find the resistance of R3, we can use the formula for power (P) in a circuit, which is given by P = VI. We know that the power dissipated by R3 is 6.0 W, and the current flowing through it is 2.0 A, so we can solve for the voltage across R3:

P = VI

6.0 W = 2.0 A x V

V = 3.0 V

Therefore, the voltage across R3 is 3.0 V. The answer is (B) 3.0 V.

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Eight identical spherical raindrops are each at a potential V, relative to the potential far away. They coalesce to make one spherical raindrop whose potential is: A.V/8 B.V/2 C.2V D.4V E.8V

Answers

The potential of the new spherical raindrop formed by the coalescence of eight identical spherical raindrops, each at potential V, is: 2V. The correct option is C.

What is Coalescence?

Coalescence is the process by which small particles or droplets come together to form larger particles or droplets. In the context of this physics question, coalescence refers to the merging of the eight identical spherical raindrops to form one larger spherical raindrop.

When the eight identical raindrops coalesce, their charges are added together to create a larger raindrop with a total charge of 8V. However, the volume of the new raindrop is also increased by a factor of 8, since the volume of a sphere is proportional to the cube of its radius.

The potential of a charged sphere is given by the equation V = kQ/r, where k is Coulomb's constant, Q is the charge on the sphere, and r is the radius of the sphere.

Since the charge has increased by a factor of 8 and the radius has only increased by a factor of 2 (since the radius of the new sphere is twice that of the original spheres), the potential of the new raindrop is 2V. Therefore, Option is C is correct answer

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While hiking through a canyon, Noah Formula lets out a scream. An echo (reflection of the scream off a nearby canyon wall) is heard 0.82 seconds after the scream. The speed of the sound wave in air is 342 m/s. Calculate the distance from Noah to the nearby canyon wall.
GIVEN: v = 342 m/s, t = 0.82 s (2-way)

Find d (1-way)

Answers

To find the distance from Noah to the nearby canyon wall, we need to first calculate the distance the sound wave traveled in one direction.

Since the echo is heard 0.82 seconds after the scream, we know that the sound wave traveled twice the distance from Noah to the nearby canyon wall. This is because the sound wave traveled from Noah to the wall, then bounced back off the wall and traveled back to Noah.

Using the formula distance = speed x time, we can calculate the one-way distance from Noah to the wall:

distance = speed x time / 2
distance = 342 m/s x 0.82 s / 2
distance = 140.82 meters

Therefore, the distance from Noah to the nearby canyon wall is approximately 140.82 meters.

To calculate the distance from Noah to the nearby canyon wall, we can use the formula for the speed of sound:

Distance (d) = Speed (v) × Time (t)

Since the time given (0.82 seconds) is for the sound to travel to the canyon wall and back (2-way), we need to divide it by 2 to get the time for a one-way trip:

One-way time = 0.82 s / 2 = 0.41 s

Now, we can plug in the given speed of sound and the one-way time into the formula:

Distance (d) = 342 m/s × 0.41 s

Distance (d) ≈ 140.22 meters

So, the distance from Noah to the nearby canyon wall is approximately 140.22 meters.

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Approximately what percentage of the energy from sunlight is converted into gross primary production?.

Answers

The answer is that approximately 1% of the energy from sunlight is converted into gross primary production. This means that out of all the energy that hits the Earth's surface as sunlight, only a very small fraction of it is actually used by plants to produce organic matter through photosynthesis.

This percentage is so low has to do with the inefficiency of the photosynthetic process itself. Even under ideal conditions, plants are only able to convert a small portion of the light energy they receive into chemical energy that can be used for growth and reproduction. Some of the energy is lost as heat, some is used for metabolic processes like respiration, and some is simply reflected or transmitted through the plant without being absorbed.

It's important to note that this 1% figure is just an average, and the actual amount of energy that gets converted into gross primary production can vary depending on a variety of factors, including the type of plant, the quality and intensity of the light, and the availability of other resources like water and nutrients. However, in general, it's safe to say that the amount of energy that gets converted into organic matter through photosynthesis is relatively small compared to the total amount of energy available in sunlight.

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which of the following are required of secondary batteries? select all that apply: secondary batteries must be rechargeable. secondary batteries must consist of exactly two species: a metal at the cathode and another metal at the anode. secondary batteries must generate current spontaneously. secondary batteries must contain a cathode and anode in separate cells.

Answers

Of the options listed, only the following statement is correct: Secondary batteries must be rechargeable.

Secondary batteries are rechargeable batteries that can be recharged and used multiple times. They are also known as storage batteries, rechargeable batteries or accumulators. They operate by converting chemical energy into electrical energy and vice versa. The chemical reactions in secondary batteries are reversible, allowing them to be recharged by applying a current to reverse the reaction.

Secondary batteries do not need to consist of exactly two species or metals, nor do they need to generate current spontaneously. They also do not necessarily need to contain a cathode and anode in separate cells, as some types of secondary batteries, such as lithium-ion batteries, use a single cell design.

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you have done interference experiments with water waves and with light waves. when you observe the intensity at a point where the path difference between two sources is half a wavelength, you observe

Answers

The path difference between two sources is half a wavelength, you observe half a wavelength for both light waves and water waves.

Option C is correct.

A harmful interference occurs when the waves are separated by half a wavelength. There is constructive interference if the waves are separated by one wavelength. This indicates that the constructive and destructive interferences alter in opposite directions for each half-wavelength difference between two waves.

As a result, Destructive Interference occurs when the path difference between water waves and light waves is half a wavelength.

How does intensity relate to the distance between paths?

The intensity reaches its highest level when the path difference is equal to one wavelength. As the distance between the paths grows, so does the intensity. The intensity is at its lowest point when the path difference is half a wavelength.

Incomplete question:

You have done experiments on water waves and on light waves. Destructive interference occurs when the path difference is

A. half a wavelength for light waves and a full wavelength for water waves.

B.half a wavelength for water waves and a full wavelength for light waves

C.half a wavelength for both light waves and water waves.

D.a full wavelength for both light waves and water wages

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the general linear momentum equation for a control volume describes the relation among (a) the net flow rate of linear momentum out of the control surface by mass flow, (b) the time rate of change of the linear momentum of the contents in the cv, and (c) the sum of all external forces acting on a cv. how are (a), (b) and (c) related?

Answers

The general linear momentum equation for a control volume relates (a), (b), and (c) as follows:

(a) Net flow rate of linear momentum out of the control surface by mass flow,
(b) Time rate of change of linear momentum of the contents in the control volume (CV), and
(c) Sum of all external forces acting on the CV

These terms are related through the linear momentum conservation principle, which states that the sum of (a) and (b) is equal to (c). Mathematically, it can be represented as:

(a) + (b) = (c)

This equation illustrates that the net flow of linear momentum out of the control surface, along with the change in linear momentum within the CV, is balanced by the external forces acting on the CV. This ensures the conservation of linear momentum in the system.

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light of wavelength 300.0 nm passes through a 0.31-mm wide slit and forms a diffraction pattern on a screen 3.3 m away from the slit. calculate the distance between the first and the third minima on the same side of the central maximum.

Answers

The distance between the first and third minima on the same side of the central maximum is 0.024384 m.

What is distance?

Distance is a numerical measurement of how far apart two objects or points are in space. It is usually measured in linear units such as kilometers, meters, miles, feet, and inches. Distance can also be measured in non-linear units, such as the length of time it takes to get from one point to another.


Angular width of central maximum = λ/(b × d)
Where λ is the wavelength of the light, b is the width of the slit, and d is the distance from the slit to the screen.
In this case, λ = 300.0 nm, b = 0.31 mm, and d = 3.3 m. Plugging these values into the equation gives us:
Angular width of central maximum = 300.0 nm/(0.31 mm × 3.3 m)
= 0.001863 radians
The distance between the first and third minima is equal to the width of the central maximum, which in this case is equal to 2 × 0.001863 radians = 0.003726 radians. To convert this to a distance, we can use the equation:
Distance between first and third minima = d × (2 × 0.003726 radians)
Where d is the distance from the slit to the screen. In this case, d = 3.3 m, so:
Distance between first and third minima = 3.3 m × (2 × 0.003726 radians)
= 0.024384 m
Therefore, the distance between the first and third minima on the same side of the central maximum is 0.024384 m.

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The distance between the first and the third minima on the same side of the central maximum is about 2.02 mm.

How to solve for the distance

mλ = wsin(θ)

y = Ltan(θ) ≈ Lsin(θ)

y = mLλ/w

Δy = y3 - y1

  = (3Lλ/w) - (1Lλ/w)

  = 2Lλ/w

λ = 300.0 nm = 300.0 × 10^-9 m

w = 0.31 mm = 0.31 × 10^-3 m

L = 3.3 m

Δy = 2 * 3.3m * 300.0 × 10^-9 m / (0.31 × 10^-3 m)

  = 2.02 mm

So, the distance between the first and the third minima on the same side of the central maximum is about 2.02 mm.

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A 3-Ω and a 1.5-Ω resistor are wired in parallel and the combination is wired in series to a 4-Ω resistor and a 10-V emf device. The potential difference across the 3-Ω resistor is: A.2.0 V B.6.0 V C.8.0 V D.10 V E.12 V

Answers

According to the question the potential difference across the 3Ω resistor is 8.0V.

What is potential?

Potential is the ability to act or produce an effect in a given environment. It is an attribute of an object, system, or process which can be realized under certain conditions. Potential energy is energy which is stored and available for use. Potential can also refer to the inherent ability of an individual to develop and grow in a certain environment.

The potential difference across the 3-Ω resistor is 8.0 V. To calculate this, we can use the formula V = I * R, where V is the potential difference (in volts), I is the current (in amperes), and R is the resistance (in ohms).
The total resistance of the circuit is 3Ω + (1.5Ω in parallel with 4Ω) = 4.75Ω. So the current passing through the circuit is (10V)/(4.75Ω) = 2.1A.
The current passing through the 3Ω resistor is (2.1A)*(3Ω)/(4.75Ω) = 1.37A.
This means the potential difference across the 3Ω resistor is (1.37A)*(3Ω) = 4.11V.
So the potential difference across the 3Ω resistor is 8.0V.

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