Light passes from air (n=1) into another medium at 30.0 degrees to the normal. If the angle of refraction is 18.0 degrees, what is the index of refraction of the new medium?

The reason you get pushed against the back of the wagon when it starts moving forward is due to the inertia of your body.

Inertia is the tendency of an object to resist changes in its state of motion. When the wagon is at rest, you are also at rest relative to the wagon. However, when the wagon starts to move forward, your body tends to stay at rest due to inertia, while the wagon moves forward.

As a result, you appear to move backward relative to the wagon, and since there is no friction between you and the floor of the wagon, your body continues to move backward until it comes into contact with the back of the wagon. This contact force with the back of the wagon is what pushes you forward, creating the sensation of being pushed against the back of the wagon.

This phenomenon is described by Newton's first law of motion, which states that an object at rest tends to stay at rest, and an object in motion tends to stay in motion with the same speed and in the same direction, unless acted upon by an external force.

In this case, the external force is the friction between your body and the back of the wagon that ultimately brings your body to a rest relative to the wagon as it moves forward.

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If the ball hits the ground 4. 0 seconds later, approximately how high is the cliff, then the height of the cliff will be: s = 78.4m

In these circumstances, vertical and horizontal parts should be thought about independently;

Thus, horizontal speed is unimportant since we are discussing vertical level, for example, the level of the bluff;

However, the way that the speed is horizontal is important on the grounds that this implies the vertical speed at first is 0m/s;

The descending development of the ball is because of gravity, which is 9.8m/s²;

The time is given as 4.0s from the highest point of the precipice to the base;

We know the acceleration, time, and beginning speed so we can utilize this kinematic equation to settle for distance:

s = ut + ¹/₂at²

s = relocation (/distance)

u = introductory vertical velocity = 0

t = time (time taken for the ball to fall) = 4

a = acceleration (downwards) = 9.8

Substitute these qualities into the equation to get the distance:

s = 0(4) + ¹/₂(9.8)(4)²

s = 78.4m

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The scientific notation of the following are:

Scientific notation is a way of writing very large or very small numbers in a more concise form. It involves expressing a number as a product of a coefficient (a number between 1 and 10) and a power of 10.

For example, the number 3,000,000 can be expressed in scientific notation as 3 x 10⁶, where 3 is the coefficient and 10⁶ represents the power of 10. Similarly, the number 0.0000025 can be expressed as 2.5 x 10⁻⁶, where 2.5 is the coefficient and 10⁻⁶ represents the power of 10.

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Image transcribed:

SWYK - Scientific Notation

Write the following numbers in standard notation:

a. 9 x 10³

b. 7.7 x 10⁻⁵

a. 4.99 x 10⁻⁹

b. 2.25 x 10¹⁰

Option 2 is the correct answer. The Roche limit is reached when ring particles closest to a planet fall into its atmosphere.

The Roche limit is the minimum distance at which a celestial body, such as a moon or a ring system, can approach a planet before being disrupted by tidal forces. When a celestial body gets too close to a planet, the planet's tidal forces can overcome its gravitational pull, and the body may be torn apart by these forces.

Option 2 is the correct answer. The Roche limit is reached when ring particles closest to a planet fall into its atmosphere. This happens because the tidal forces from the planet become stronger than the gravitational forces holding the particles together, causing them to break apart and fall towards the planet. Once the particles are within the Roche limit, they will continue to break apart and eventually form a disk or ring around the planet.

The Roche limit is an important concept in planetary science, as it helps us understand the structure and behavior of planets, moons, and other celestial bodies. It can also help us explain the formation of planetary rings, such as those around Saturn and other gas giants in our solar system.

So, the right response is Choice 2. When ring particles closest to a planet enter its atmosphere, the Roche limit is achieved.

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After firing, the velocity of the rifle (relative to the ground) is zero.

Before firing, the rifle and the bullet form a closed system with zero total momentum.

After firing, the bullet moves forward with a velocity 'v' relative to the ground, and the rifle moves backward with a velocity v' relative to the ground.

The law of conservation of momentum states that the total momentum of a closed system remains constant in the absence of external forces. Therefore, we can write:

initial momentum of system = final momentum of system

The initial momentum of the system is zero, since both the rifle and the bullet are at rest.

The final momentum of the system can be calculated as the sum of the momenta of the rifle and the bullet:

final momentum of system = momentum of bullet + momentum of rifle

The momentum of the bullet is given by:

momentum of bullet = m * v

where m is the mass of the bullet.

The momentum of the rifle can be calculated as:

momentum of rifle = -m * v'

where the negative sign indicates that the momentum of the rifle is in the opposite direction to that of the bullet.

Therefore, we have:

0 = m * v - m * v'

Solving for v', we get:

v' = -v

This means that the velocity of the rifle (relative to the ground) after firing is equal in magnitude but opposite in direction to the velocity of the bullet. The negative sign indicates that the rifle moves backward with respect to the ground.

Therefore, by the principle of conservation of momentum, which states that the total momentum of a closed system is conserved. The momentum gained by the bullet in the forward direction is exactly balanced by the momentum lost by the rifle in the backward direction, resulting in zero net momentum and zero net velocity of the rifle-bullet system

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Answer:

F = M g       gravitational force on M

M g = G M m / R^2

g = G m / R^2        where R is radius of earth and m the mass

g = 6.67E-11 N-m^2/ kg^2 * 5.98E24 kg / (6.37E6 m)^2

g = 6.67 * 5.98 / (6.37)^2 * 10 = 9.83 m/s^2

Answer: One

Explanation:

Time period is the time taken by a wave to travel between two consecutive crests or troughs. So, in one time period, a wave travels a distance of one wavelength.

The correct option is (e). When a horn on a boat sounds a warning, the sound waves penetrate the water. The frequency of the sound in air and water is the same, while the wavelength in air is greater than in water.

When sound waves travel from one medium to another medium, they are affected by the density and elasticity of the medium. The velocity of the sound wave is different in both the air and water. Sound waves travel more slowly in water than in air. This is because water is a denser medium, and the sound waves need to overcome greater resistance to travel through it.

The velocity of sound waves is thus less in water than in air, making the wavelength in the water shorter than in air, since the velocity and wavelength are directly proportional to each other.

However, the frequency remains the same in both mediums because it is the property of the source producing the sound wave.

Therefore, the frequency of the sound in the air is the same as the frequency of the sound in the water. However, the wavelength in air is greater than the wavelength in water as the velocity of sound waves in air is higher than the velocity of sound waves in water, and we know that wavelength is directly proportional to the velocity of the wave.

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Answer:

Bases are present to the right of the pH scale after the value of 7 which is the neutral state (example: pure water). Bases go up from 8 to 14. The strong bases are usually from 11 - 14 (example: conc. NaOH).

The first significant figure for the number 0084 is 8.

The crucial or key digits that accurately represent the meaning of a certain number are known as the significant figures of that number.

Following are some rules for the calculation of the significant figures:

Here we have to count the significant figure of 0084

By using the rule of a significant figure "Every figure that is not zero is important."

So, in the given number 84 is the only non-zero number.

Hence, there is only 2 significant figure in the given number which is 8 and 4.

The first significant figure is 8.

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Question-

What is the first significant figure of the number 0084?

Answer:

Using the thin lens equation, we have:

1/f = 1/d_o + 1/d_i

where f is the focal length of the lens, d_o is the distance of the object from the lens, and d_i is the distance of the image from the lens.

Plugging in the given values, we get:

1/f = 1/7 + 1/48

Simplifying this expression, we get:

1/f = 0.2024

Multiplying both sides by f, we get:

f = 4.94 cm

Therefore, the focal length of the convex lens is 4.94 cm.

Answer:

6.1 cm

Explanation:

The focal length of the lens is 6.1 or 6.11 cm

While parked, the static friction is what is acting on the car. When the car is started and begins to move the sliding friction acts on it. When the car starts to accelerate the rolling friction would begin to act on it.

When the car is parked on the hill, static friction is acting on the car to keep it from sliding down the hill. Static friction is the force that opposes the motion of an object when it is stationary or at rest.

When the driver starts the car, the car begins to move and sliding friction takes over. Sliding friction is the force that opposes the motion of an object when it is sliding or moving. In this case, sliding friction acts between the tires and the road to slow down the motion of the car.

As the car accelerates, rolling friction starts to act. Rolling friction is the force that opposes the motion of an object when it is rolling. In this case, rolling friction acts between the tires and the road to slow down the rotation of the wheels as they roll on the surface of the road. The rolling friction is typically lower than sliding friction, which makes it easier for the car to maintain a constant speed.

When the driver steps on the brakes, static friction takes over again to slow down the car. The brake pads are pressed against the spinning wheels, and the static friction between the brake pads and the wheels slows down the motion of the car. If the brakes are applied too hard, the wheels may start to slide, and sliding friction will take over again.

In summary, the three types of friction - static, sliding, and rolling - act at different times during the motion of the car. Static friction keeps the car from moving when it is parked on the hill, sliding friction acts when the car is accelerating or decelerating, and rolling friction acts when the car is driving at a constant speed.

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a) The tangential speed of the ball is 1.26 m/s

b) The centripetal acceleration of the ball is 1.99 m/s^2.

We need to use the formulas for tangential speed and centripetal acceleration:

Tangential speed = radius x angular speed

Centripetal acceleration = (tangential speed)^2 / radius

Given:

Mass of the ball, m = 5.00 kg

Radius of the circle, r = 0.800 m

Angular speed, ω = 0.500 rev/s

We need to convert the angular speed from revolutions per second to radians per second:

ω = 0.500 rev/s x 2π rad/rev = 1.57 rad/s

(a) Tangential speed of the ball:

v = rω = 0.800 m x 1.57 rad/s = 1.26 m/s

(b) Centripetal acceleration of the ball:

a = v^2 / r = (1.26 m/s)^2 / 0.800 m = 1.99 m/s^2

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The power developed by a man who climbs a rope at a constant speed can be calculated using the following formula:

power = force x velocity

The force required to lift the man’s weight can be calculated using the formula:

force = mass x gravity

where mass is the man’s mass and gravity is the acceleration due to gravity (9.8 m/s²).

force = 110 kg x 9.8 m/s² = 1078 N

The power developed by the man can then be calculated as:

power = force x velocity = 1078 N x 2.5 m/s = 2695 W

Therefore, the power developed by the man is 2695 W.

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To calculate the current through the lamp, we can use Ohm's Law, which states that the current (I) flowing through a conductor is equal to the voltage (V) across the conductor divided by the resistance (R) of the conductor.

In this case, we know the voltage (V) across the lamp is 25 volts, and we can calculate the resistance (R) of the lamp using the formula:

Power = Voltage x Current

The power of the lamp is given as 15 watts, so we have:

15 = 25 x I

Solving for I, we get:I = 15/25 = 0.6 amperes (or 600 milliamperes)

Therefore, the current through the lamp is 0.6 amperes when it is connected across 25 volts.

A volt is the unit of measurement for electric potential difference, also known as voltage. It is defined as the amount of electric potential energy required to move one coulomb of electric charge through a conductor, such as a wire, from one point to another, when the potential difference between the two points is one volt.

In other words, a volt is a measure of how much electrical energy is needed to move a certain amount of electrical charge through a conductor. It is named after the Italian physicist Alessandro Volta, who invented the first electric battery.

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Answer:

Classical physics viewed light as a wave.

Explanation:

because classical physics describes light as waves

The correct statement is "This wave is oscillating but not traveling."

The principle of superposition states that if two functions each separately satisfy the wave equation, then the sum (or difference) also satisfies the wave equation.

This principle follows from the fact that every term in the wave equation is linear in the amplitude of the wave.

In this case, the sum of two waves y_1 (x, t) + y_2 (x, t) can be written as y_s (x, t) = y_e (x) * y_t (t), where y_e (x) is the envelope function that depends only on position and y_t (t) is the time function that depends only on time.

To find y_e (x) and y_t (t), we need to separate the position and time dependence of the sum wave y_s (x, t). Since y_1 (x, t) and y_2 (x, t) are both trigonometric functions with unit amplitude, we can write them as:

y_1 (x, t) = A_1 * cos(k_1 * x - omega_1 * t)
y_2 (x, t) = A_2 * cos(k_2 * x - omega_2 * t)

The sum of these two waves is:

y_s (x, t) = A_1 * cos(k_1 * x - omega_1 * t) + A_2 * cos(k_2 * x - omega_2 * t)

Using the trigonometric identity for the sum of two cosines, we can write this as:

y_s (x, t) = (A_1 + A_2) * cos((k_1 + k_2) * x / 2 - (omega_1 + omega_2) * t / 2) * cos((k_1 - k_2) * x / 2 - (omega_1 - omega_2) * t / 2)

The first cosine term depends only on position and the second cosine term depends only on time, so we can write:

y_e (x) = (A_1 + A_2) * cos((k_1 + k_2) * x / 2)
y_t (t) = cos((omega_1 - omega_2) * t / 2)

Therefore, the envelope function y_e (x) and the time function y_t (t) are:

y_e (x) = (A_1 + A_2) * cos((k_1 + k_2) * x / 2)
y_t (t) = cos((omega_1 - omega_2) * t / 2)

Regarding the statement about the superposition wave y_s (x, t), the correct statement is "This wave is oscillating but not traveling."

This is because the envelope function y_e (x) depends only on position and the time function y_t (t) depends only on time, so the wave is not traveling in any direction.

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The separation between wave sources affects the interference pattern by changing the phase difference between the waves arriving at a particular point.

The interference pattern is a result of the superposition of waves from multiple sources. When the sources are close together, the waves interfere constructively and destructively in a complex pattern. As the sources are moved further apart, the interference pattern becomes more spread out, with fewer and broader maxima and minima.

Eventually, when the sources are far apart, the interference pattern disappears, and the waves can be treated as independent. The distance between the sources affects the phase difference between the waves arriving at a particular point, which determines whether they interfere constructively or destructively. Therefore, as the separation between sources increases, the phase difference between the waves decreases, resulting in a less pronounced interference pattern

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Answer:

The Law of Conservation of energy and charge is a fundamental principle in physics that states that energy and charge can neither be created nor destroyed, but can only be transformed from one form to another.

Kirchoff's Loop and Junction Rules, on the other hand, are fundamental principles in electrical circuit theory that are used to analyze and solve electrical circuits. Kirchoff's Loop Rule states that the sum of the potential differences around any closed loop in a circuit must be zero, while Kirchoff's Junction Rule states that the sum of the currents entering a junction in a circuit must be equal to the sum of the currents leaving the junction.

The Law of Conservation of energy and charge does not directly support or refute Kirchoff's Loop and Junction Rules because they are based on different principles. However, these rules are consistent with the Law of Conservation of energy and charge because they ensure that the flow of energy and charge in a circuit is conserved.

Kirchoff's Loop Rule is based on the principle of conservation of energy, which states that the total energy in a closed system must remain constant. The Loop Rule ensures that the energy supplied by the battery or other energy source is equal to the energy consumed by the resistors or other components in the circuit.

Kirchoff's Junction Rule is based on the principle of conservation of charge, which states that the total charge in a closed system must remain constant. The Junction Rule ensures that the charge flowing into a junction is equal to the charge flowing out of the junction, which is consistent with the Law of Conservation of charge.

In summary, Kirchoff's Loop and Junction Rules are consistent with the Law of Conservation of energy and charge, but they do not directly support or refute it. These rules are fundamental principles in electrical circuit theory that ensure that the flow of energy and charge in a circuit is conserved.

Explanation:

There are approximately [tex]1.1×10^31[/tex] electrons in 1 kg of mass and the charge is [tex]-1.76×10^-7[/tex] coulombs.

The mass of an electron is given as [tex]9.1×10^-31[/tex]kg. Therefore, the number of electrons in 1 kg can be calculated as follows:

1 kg = ([tex]1 / 9.1×10^-31[/tex]) electrons

Number of electrons = 1 kg / [tex]9.1×10^-31[/tex] kg/electron

= 1 /[tex](9.1×1 0^-31)[/tex] electrons

= [tex]1.1×10^31[/tex]electrons

The charge of an electron is [tex]-1.602×10^-19[/tex] coulombs. This is the fundamental unit of negative charge in the universe. Therefore, the total charge of [tex]1.1×10^31[/tex]electrons can be calculated as follows:

Total charge = ([tex]1.1×10^31[/tex] electrons) x ([tex]-1.602×10^-19[/tex]coulombs/electron)

= [tex]-1.76×10^-7[/tex] coulombs

Therefore, the total charge of[tex]1.1×10^31[/tex]electrons is -[tex]1.76×10^-7[/tex]coulombs.

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Assuming that a t-shirt has an average mass of 140 g then mass of 875,000 cotton t-shirts is 122,500 kg.

To find the mass of 875,000 cotton t-shirts, we need to multiply the number of t-shirts by the average mass of each t-shirt:

mass = number of t-shirts * average mass per t-shirt

The number of t-shirts is 875,000, and the average mass per t-shirt is 140 g.

However, we need to convert grams to kilograms, so we divide by 1000:

mass = 875,000 * 140 g / 1000 = 122,500 kg

Therefore, the mass of 875,000 cotton t-shirts is 122,500 kg.

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If magnet 1 is moved closer to magnet 2, magnet 2 will move. This is because Force can affect objects over a distance. thus option C is the answer.

Force can affect objects over a distance. This is because magnets apply a force on one another in any event, when they are not in touch. This force is known as a magnetic force, and it can cause development in different magnets, regardless of whether they are not contacting.

At the point when magnet 1 is drawn nearer to magnet 2, the magnetic force between the two magnets becomes more grounded, making magnet 2 move. The movement is because of the communication of the magnetic fields of the two magnets, which can impact each other in a good way.

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metric system preferred as the system of measurement by the scientific community because:-
1. Data is easily communicated worldwide
2. Has prefixes that correspond to an amount to use with all base units
3. Measurements are more accurate
4. Easy to convert using the base 10 scale
Hence, all of these are applied.

The basic units of length (distance), capacity (volume), and weight (mass) in the metric system are the meter, liter, and gram, respectively. We use units that are derived from metric units to quantify smaller or larger quantities.
The seven SI basic units, consisting of:
Size in meters (m)
Seconds of time (s)
Molar amount of material (mole)
Amperes of electric electricity (A)
Temperature in kelvin (K)
luminosity measured in candela (cd)
A kilogram of mass (kg).
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It would take 2 seconds for a total charge of 1.67C to pass through a  filament of the bulb

What is Charge?

Charge is a fundamental property of matter that determines how it interacts with electromagnetic fields. There are two types of charge, positive and negative, and opposite charges attract while like charges repel. The unit of charge is the Coulomb (C), which is defined as the amount of charge that flows in one second through a wire carrying a constant current of one Ampere (A).

Electrons carry a negative charge, while protons carry a positive charge. Neutrons, on the other hand, have no charge. Atoms typically have an equal number of electrons and protons, making them electrically neutral. When an atom gains or loses one or more electrons, it becomes charged and is called an ion.

The current in the light bulb is 0.835 A, then we can write:

Q = I * t

1.67 C = 0.835 A * t

Solving for t, we get:

t = 1.67 C / 0.835 A

t = 2 seconds

Therefore, it would take 2 seconds for a total charge of 1.67C to pass through a  filament of the bulb

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Yes, humans have significantly contributed to climate change. Over the past century, human activities such as burning fossil fuels and deforestation have released large amounts of carbon dioxide, a greenhouse gas, into the atmosphere. This has caused a drastic increase in average global temperatures and caused an array of environmental issues such as droughts, floods, and rising sea levels.

Three sources of evidence that suggest that humans have caused climate change are
- Studies of atmospheric carbon dioxide concentrations over the past 150 years have shown that the carbon dioxide levels have been steadily increasing since the start of the industrial revolution in the 1800s. This indicates that humans have been releasing large amounts of carbon dioxide into the atmosphere. (IPCC, 2013)
- Research has shown that the majority of the warming observed in the past 50 years has been caused by human activities (IPCC, 2018).
 - Computer simulations of climate have indicated that the observed warming trend over the past few decades could not have been caused by natural forces alone, and could only be explained by a combination of human-caused and natural factors (Meehl et al., 2005).

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The satellite travels approximately 27975.1 miles in 40 minutes ,if the earths radius is 4000 miles at sea level.

We can start by finding the satellite's orbital radius using the fact that it completes one orbit in 120 minutes.

The time it takes for an object to complete one orbit (period) is related to the radius of the orbit (distance from the center of the Earth) by the following equation:

T² = (4π² / GM) * r³

where T is the period in seconds,

G is the gravitational constant,

M is the mass of the Earth, and

r is the radius of the orbit.

We can convert the given period of 120 minutes to seconds:

T = 120 minutes = 120 * 60 seconds = 7200 seconds

Substituting this and the other given values into the equation above, we get:

7200²= (4π² / (6.67430 × 10⁻¹¹ * 5.97 × 10²⁴)) * r³

Solving for r, we get:

r = (GM T² / 4π²)^(1/3)

Plugging in the values, we get:

r = ((6.67430 × 10⁻¹¹ * 5.97 × 10²⁴) * 7200² / 4π²)^(1/3) = 42164.5 miles

This is the distance of the satellite's circular orbit from the center of the Earth. To find the distance the satellite travels in 40 minutes, we can use the fact that it travels a fraction of the circumference of its orbit in that time. The circumference of a circle is given by:

C = 2πr

So the distance the satellite travels in 40 minutes is:

d = (40/120) * 2πr = (1/3) * 2π * 42164.5 miles = 27975.1 miles (rounded to one decimal place)

Therefore, the satellite travels approximately 27975.1 miles in 40 minutes.

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The coefficient of friction can be calculated by dividing the friction force by the normal reaction force. In this case, the coefficient of friction is 0.64.

Coefficient of friction (μ) is defined as the ratio of the frictional force to the normal reaction force. So, we can use the given formula,
Coefficient of friction (μ) = Frictional force (f)/Normal reaction force (N)

Calculate the friction force by dividing the normal reaction force by the coefficient of friction:
Friction force = Normal reaction force / Coefficient of friction
Friction force = 120 N / 0.64
Friction force = 77.4 N

Calculate the coefficient of friction by dividing the friction force by the normal reaction force:
Coefficient of friction = Friction force / Normal reaction force
Coefficient of friction = 77.4 N / 120 N
Coefficient of friction = 0.64


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a) Magnitude of linear impulse = 364.0 kg• m/s

b) Average total force experienced by the car is 440 N.

Impulse refers to the effect of a force applied over time. It is the product of the magnitude of the force applied and the time interval over which the force is applied.

Impulse is measured in units of Newton seconds (N·s) or kilogram-meters per second (kg·m/s).

The average total force is defined as the net force exerted on an object for a specified amount of time divided by the duration of that period of time.

Its formula is as follows:

F_avg = m (delta v / delta t)

where m is the mass of the object,

delta v is the change in velocity,

and delta t is the time it takes for that change to occur.

Speed from 0 to 5.20 m/s

The speed from 0 to 5.20 m/s is calculated by subtracting the initial velocity from the final velocity.

The initial velocity in this situation is zero because the car is stopped at a traffic light.

As a result, the speed from 0 to 5.20 m/s is 5.20 m/s.

Magnitude of linear impulse

= 70.0 kg × 5.20 m/s

= 364.0 kg• m/s

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La respuesta correcta es la C. La cercanía entre filosofía y sabiduría.

La diferencia en el nombre de sabio y filósofo se estableció en la antigüedad, y fueron los pitagóricos los encargados de introducir el término “filósofo” cuando se proclamaban amigos de la sabiduría.

Este hecho revela la cercanía entre filosofía y sabiduría, ya que los pitagóricos se consideraban amantes de la sabiduría y buscaban perseguir el conocimiento y la comprensión de manera rigurosa y disciplinada.

El uso del término "filósofo" los distinguía de otros eruditos o maestros que podían haber poseído conocimientos pero que carecían del rigor filosófico y el compromiso con la sabiduría que caracterizaba a los pitagóricos.

Por tanto, la respuesta correcta es la C. La cercanía entre filosofía y sabiduría.

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Question in english is:

The difference in the name of sage and philosopher was established in antiquity. The Pythagoreans were responsible for introducing this term when they proclaimed themselves friends of wisdom. This fact reveals

A. The Pythagoreans' sense of modesty

B. The difference between knowing and acting

C. The closeness between philosophy and wisdom

D. The rigor in assigning names to the facts