Un tren de pasajeros viaja a razon de 36km/hrs al ingresar a un tunel de 200m de longitud demora 50seg en salir de el .¿cuanto es la longitud del tren?

The ideal body position while driving is with the knee slightly bent from the seat while pressing the pedals. The best choice is therefore B.

What significance does proper body posture have?

The right blood flow, which supports and maintains the health of the muscles, tendons, and ligaments, depends on the body's posture.

The picture that is attached contains the entire question.The right body alignment to choose while driving aids in the development of the right control over the vehicle. When pressing the pedals, the knee should be slightly bent and the seat should be adjusted such that the bottom touches the back of the seat. So, choice B is the right one.

The ideal body position for your legs after you adjusted Seat is with your knee

A. is fully tucked in when pressing the pedals

B. is slightly crooked when pressing the pedals

C. is fully extended when pressing the pedals

D. is pressing directly on the pedals

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If the heat capacity of object A is equal to the heat capacity of object B, but the specific heat capacity of object A is four times that of object B, then the mass of object A is four times the mass of object B.

Heat capacity is a measure of the amount of heat required to raise the temperature of an object by a certain amount. It depends on the mass and specific heat capacity of the object. The specific heat capacity, on the other hand, is the amount of heat required to raise the temperature of a unit mass of a substance by a certain amount.

In this scenario, if the heat capacities of object A and object B are equal, it means that the amount of heat required to raise the temperature of both objects by the same amount is the same. However, since the specific heat capacity of object A is four times that of object B, it means that object A requires four times more heat per unit mass to raise its temperature by the same amount compared to object B.

Based on this information, we can conclude that the mass of object A is four times the mass of object B. This relationship ensures that both objects have equal heat capacities despite having different specific heat capacities.

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In the Luyten 762-8 star system, the combined apparent magnitude of the two stars is 13.12.

Formula for calculating the combined apparent magnitude (m total) of two stars:

m -total = -2.5 * log10(10^(-0.4 * m1) + 10^(-0.4 * m2))

where m1 and m2 are the individual apparent magnitudes of the two stars.

Using the given values, where m1 = 12.5 and m2 = 12.9, we can substitute them into the equation:

m -total = -2.5 * log10(10^(-0.4 * 12.5) + 10^(-0.4 * 12.9))

Calculating the values within the parentheses first:

m_total = -2.5 * log10(10^(-5) + 10^(-5.16))

Next, simplify the values within the parentheses:

m_total = -2.5 * log10(3.16228e-6 + 2.51189e-6)

m_total = -2.5 * log10(5.67417e-6)

Finally, calculate the logarithm and multiply by -2.5:

m_total ≈ -2.5 * (-5.24624)

m_total ≈ 13.12

Therefore, the combined apparent magnitude of the two stars in the Luyten 762-8 star system is approximately 13.12.

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Answer:

One astronomical unit

Explanation:

in terms of the astronomical unit, or AU. One astronomical unit is the approximate mean distance between the Earth and sun. It's about 93 million miles (150 million km), or 8 light-minutes.

The new kinetic energy (KE') is twice the οriginal kinetic energy (KE), which means it increases by a factοr οf 2. Therefοre, οptiοn (a) is cοrrect.

When the speed οf a car is dοubled, the kinetic energy increases by a factοr οf 4.

The kinetic energy (KE) οf an οbject is given by the equatiοn:

KE = (1/2) × m × v²

where m is the mass οf the οbject and v is its velοcity (speed).

When the speed is dοubled, the new velοcity becοmes 2v. Substituting this intο the kinetic energy equatiοn:

KE' = (1/2) × m × (2v)²

= (1/2) × m × 4v²

= 2× * (1/2) × m × v²

= 2 × KE

The new kinetic energy (KE') is twice the οriginal kinetic energy (KE), which means it increases by a factοr οf 2. Therefοre, οptiοn (a) is cοrrect.

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Answer:

Approximately \(69\; {\rm N}\) at approximately \(126^{\circ}\).

Explanation:

Assume that both angles in the question are relative to the positive \(x\)-axis (towards the positive horizontal direction.)

Horizontal component (\(x\)-component) of the two forces would be:

Note that the \(x\)-component of the \(90\; {\rm N}\) force is negative since this components points away from the positive \(x\!\)-direction.

Hence, the net force in the \(x\)-component would be:

\((50\; {\rm N}) \, \cos(30^{\circ}) + (90\; {\rm N}) \, \cos(160^{\circ}) \approx (-41.3) \; {\rm N}\).

(Again, this component is negative since it points away from the positive \(x\)-axis.)

Similarly, the vertical component (\(y\)-component) of the two forces would be:

Hence, the net force in the \(y\)-component would be:

\((50\; {\rm N}) \, \sin(30^{\circ}) + (90\; {\rm N}) \, \sin(160^{\circ}) \approx 55.8\; {\rm N}\).

Refer to the diagram attached. The resultant net force is the vector sum of the components. Apply the Pythagorean Theorem to find this net force:

\(\begin{aligned}(\text{net force}) &= \sqrt{(\text{$x$-component})^{2} + (\text{$y$-component})^{2}} \\ &\approx \sqrt{(-41.3)^{2} + (55.8)^{2})}\; {\rm N} \\ &\approx 69\; {\rm N}\end{aligned}\).

Find the angle of this net force relative to the positive \(x\)-axis using the inverse cosine function \(\arccos\):

\(\begin{aligned}\arccos\left(\frac{(\text{$y$-component})}{(\text{net force})}\right) &\approx \arccos\left(\frac{55.8\; {\rm N}}{69\; {\rm N}}\right) \\ &\approx 126^{\circ}\end{aligned}\).

(The units might need to be converted into degrees.)

A race car is moving at a constant speed around a track. The race car is changing its velocity as the direction of motion changes.

The primary indicator of an object's position and speed is its velocity. It is the distance that an object travels in one unit of time. The displacement of the item in one unit of time is the definition of velocity.

The rate at which a body's displacement changes in relation to time is known as its velocity. Velocity is a vector quantity with both magnitude and direction. SI unit of velocity is meter/second.

As the race car is moving at a constant speed around a track, the magnitude of velocity remains same but during race it may changes its direction of motion, that is why, velocity of it, which depends on both magnitude and direction, may changes.

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Answer:

C

Explanation:

The composition of a comet compared with that of the Sun is C "Comets are made of ice and dust, while the Sun is made of gas".

Comets are small, icy bodies that originate from the outer solar system and are composed mainly of frozen water, carbon dioxide, methane, and ammonia, along with dust and small rocky particles. When a comet approaches the Sun, its icy material vaporizes, creating a glowing coma (a hazy atmosphere around the nucleus) and a tail that points away from the Sun due to the solar wind.

On the other hand, the Sun is a giant ball of hot, glowing gas, composed mainly of hydrogen (about 73% of its mass) and helium (about 25% of its mass), with trace amounts of other elements like oxygen, carbon, and iron. The Sun generates energy through nuclear fusion reactions in its core, which convert hydrogen into helium and release a tremendous amount of energy in the process.

Therefore, the composition of a comet is quite different from that of the Sun. While both objects contain some water (in the form of ice for comets and vapor for the Sun), comets are predominantly made of ice and dust, while the Sun is predominantly made of gas, with only a small amount of solid material in its core.

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The passenger liners Carnival Destiny and Grand Princess each have a mass of about 1.0 x 10^8 kg. The distance apart these two ships must be to exert a gravitational attraction of 1.0 x 10^3 N on each other can be calculated using Newton's law of gravitation, which states that the force of attraction between two objects is directly proportional to the product of their masses and inversely proportional to the square of the distance between them.

The formula is given as F = G(m₁m₂/d²), where F is the force of attraction between the two objects, G is the universal gravitational constant, m₁ and m₂ are the masses of the objects, and d is the distance between the centres of mass of the objects.

Rearranging the formula to solve for d: d = √(G(m₁m₂)/F).

Substituting the given values into the formula: d = √(6.67 x 10^-11 N(m²/kg²)(1.0 x 10^8 kg)(1.0 x 10^8 kg)/(1.0 x 10^3 N)).

Simplifying the expression: d = √(6.67 x 10^-11 N(m²/kg²)(1.0 x 10^16 kg²)/(1.0 x 10^3 N))d = √(6.67 x 10^-2 m²) = 0.258 m (to 3 significant figures).

Therefore, the two ships must be 0.258 meters or approximately 26 centimetres apart to exert a gravitational attraction of 1.0 x 10^3 N on each other.

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Answer:

EEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE

Explanation:

microphone for example

A

good examples of a moist passageway that does oxygen exchange are your throat, heart, and nostrils. (simplified answer)

If you'll looking for a metal that melts at exactly 1000 degrees celcius, then Red Brass melts at exactly 1000 degrees celcius

The average speed in m/s, given the data is 820.80 m/s

Speed is the distance travelled per unit. Mathematically, it can be expressed as:

Speed = distance / time

This is the total distance travelled divided by the total time taken to cover the distance.

Average speed = total distance / total time

Speed = distance / time

684 = 446000 / time

Cross multiply

684 × time = 446000

Divide both side by 684

Time = 446000 / 684

Time to fly away = 652.05 s

Speed = distance / time

1026 = 446000 / time

Cross multiply

1026 × time = 446000

Divide both side by 1026

Time = 446000 / 1026

Time to return = 434.70 s

The average speed can be obtained as follow:

Average speed = total distance / total time

Average speed = 892000 / 1086.75

Average speed = 820.80 m/s

Thus, the average speed is 820.80 m/s

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The amount of current passing through the point is 1 A

The amount of current passing through the point can be calculated using the formula below.

⇒ Formula:

⇒ Where:

⇒ Make "i" the subject of the equation.

From the question,

⇒ Given:

⇒ Substitute these values into equation 2

Hence, The amount of current passing through the point is 1 A.

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Answer:

a plumber

Explanation:

The collision, Miguel is moving in the opposite direction at 1.2 m/s.

Define collision.

A collision in physics is any situation in which two or more bodies quickly exert forces on one another. Despite the fact that the most common usage of the word "collision" refers to situations in which two or more objects clash violently, the scientific usage of the word makes no such assumptions.

Miguel's post-collision velocity can be determined using the law of conservation of momentum.
Momentum is a vector quantity and is equal to mass times velocity (p=mv). Before the collision, the momentum of the system (Miguel + Fernando's car) is equal to (m1=72kg)(v1=4m/s) + (m2=125kg)(v2=0m/s) = 782 kg*m/s.
After the collision, the momentum of the system is equal to (m1=72kg)(v1=?m/s) + (m2=125kg)(v2=2m/s) = 782 kg*m/s.
By solving for v1 we can find that Miguel's post-collision velocity is -1.2 m/s.
This means that after the collision, Miguel is moving in the opposite direction at 1.2 m/s.

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The primary effect of increasing the surface tension of the liquid is to increase the capillary force. Capillary forces arise due to the combined effects of adhesion and cohesion

When the surface tension of the liquid increases, the capillary rise will increase. It is because the increase in surface tension leads to an increase in the force that pulls the liquid upwards in a tube. is as follows;If you place a capillary tube in a beaker filled with water, the water surface inside the tube rises slightly higher than the level outside the tube.

This rise in water level is called capillary rise. The capillary rise is caused by the attraction between the molecules of the water and the molecules of the glass tube.This attraction is called capillary force or capillary action. The capillary force is due to the combined effect of adhesive and cohesive forces. The adhesive force is the attraction between the molecules of the liquid and the molecules of the solid surface, while the cohesive force is the attraction between the molecules of the liquid.

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The acceleration of the steel crate, given the data from the question is 6.0 m/s²

Fₙ = Fᵣ - Fբ

Fₙ = 1869 - 480

Fₙ = 1389 N

Fₙ = ma

Divide both sides by m

a = Fₙ / m

a = 1389 / 230

a = 6.0 m/s²

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if the universe is 13.8 billion years old, how can we see 46 billion light years away because space has also been expanding?

When total distance to distant cosmic objects like galaxies is taken into account, their measurement is referred to as cosmological distance. This distance accounts for universe's ongoing expansion. Space itself stretches as a result of the universe's expansion, causing two things' distances to grow even when they are not physically moving apart.

One may observe objects that are currently positioned farther distant than the age of the universe thanks to this stretching of space. For a very long time, light emanating from these far-off objects has been travelling through space. Light has essentially travelled a greater distance than the actual physical distance between us and the object because of the universe's expansion during that time.

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If the angular velocity of a rotating rigid body is increased then its moment of inertia about that axis remains constant. The moment of inertia of a body is not affected by the angular velocity of the body.

Moment of inertia, also known as rotational inertia or angular mass, is a measure of the amount of mass distributed at different distances from an axis of rotation. It is a physical quantity that measures the degree of difficulty experienced by a rotational body in attaining angular acceleration under the influence of torque.

The moment of inertia, represented by I, is given by the product of mass and square of perpendicular distance of the mass from the axis of rotation. It is calculated as, I = mr²Here, m represents the mass of the body and r represents the distance between a point and axis of rotation. Therefore, the main answer to this question is that the moment of inertia of a rotating rigid body remains constant about an axis of rotation, irrespective of the angular velocity.

This is because the moment of inertia is calculated based on the geometry and mass distribution of the body, and does not depend on the rotational speed of the body.

Therefore, if the angular velocity of a rotating rigid body is increased, the moment of inertia of the body remains unchanged.

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The three paths taken by incoming solar radiation are:

About 29 percent of the solar radiation that arrives at the top of the atmosphere is reflected back to space by clouds, atmospheric particles, or bright ground surfaces like sea ice and snow. This radiation plays no role in Earth’s climate system.

About 23 percent of incoming solar energy is absorbed in the atmosphere by water vapour, dust, and ozone, and

48 percent passes through the atmosphere and is absorbed by the surface. Thus, about 71 percent of the total incoming solar energy is absorbed by the Earth system.

Solar radiation, often called the solar resource or just sunlight, is a general term for the electromagnetic radiation emitted by the sun. Solar radiation can be captured and turned into useful forms of energy, such as heat and electricity, using a variety of technologies. However, the technical feasibility and economical operation of these technologies at a specific location depends on the available solar resource.

Every location on Earth receives sunlight at least part of the year. The amount of solar radiation that reaches any one spot on the Earth's surface varies according to:

DIFFUSE AND DIRECT SOLAR RADIATION

As sunlight passes through the atmosphere, some of it is absorbed, scattered, and reflected by:

This is called diffuse solar radiation. The solar radiation that reaches the Earth's surface without being diffused is called direct beam solar radiation. The sum of the diffuse and direct solar radiation is called global solar radiation. Atmospheric conditions can reduce direct beam radiation by 10% on clear, dry days and by 100% during thick, cloudy days.

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Narrow tires bikes are used in racing competitions.

Bikes that have narrow tires are used in race because narrow tires have an advantage over wider tires due to their higher speed as they provide less air resistance. Less air resistance on the bike having narrow tires allows the bike to move faster as compared to those bikes having wider tires due to more air resistance so we can conclude that bikes with narrow tires are used in racing competitions.

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Road bikes are meant for optimum performance

The option that gives the type of bikes that have the given specifications is the option;

Reason:

A road bike is a bike usually for competitive driving, meant for roads and that are paved roads, and not for racing tracks or rough terrains.

The specifications of a road bike are;

The frames are very lightweight, including the wheels and other parts

The handlebar is curled

The wheels of the tires are narrow

A front fork made of carbon fiber composite

It does not have have front or rear suspension

Includes variety for male and female riders

Therefore, the correct option is; road

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The efficiency of the engine is 1.57%.

Efficiency is a measure of how well a system converts input energy into useful output energy. It is calculated as the ratio of useful output energy to the total input energy.

To find the efficiency of the engine, we need to calculate the work done by the engine and the heat absorbed from the reservoirs during the cycle.

Step 1: Isothermal expansion at 325 K from 16.1 L to 31.5 L

Since this is an isothermal process, the temperature remains constant at 325 K. The work done by the engine during this process is given by:

W1 = nRT ln(V2/V1)

where n is the number of moles of the gas, R is the universal gas constant, and T is the temperature in kelvin.

n = 1 mol

R = 8.314 J/mol/K

T = 325 K

V1 = 16.1 L

V2 = 31.5 L

W1 = (1 mol)(8.314 J/mol/K)(325 K) ln(31.5 L/16.1 L)

W1 = 4527.6 J

The heat absorbed from the reservoir during this process is given by:

Q1 = W1 = 4527.6 J

Step 2: Cooling at constant volume to 163 K

Since this is a constant volume process, no work is done by the engine. The heat absorbed from the reservoir during this process is given by:

Q2 = nCvΔT

where Cv is the heat capacity at constant volume and ΔT is the change in temperature.

n = 1 mol

Cv = 21 J/K

ΔT = 163 K - 325 K = -162 K

Q2 = (1 mol)(21 J/K)(-162 K)

Q2 = -3402 J

Step 3: Isothermal compression to its original volume of 16.1 L

Since this is an isothermal process, the temperature remains constant at 163 K. The work done on the engine during this process is given by:

W3 = -nRT ln(V2/V1)

where V1 = 31.5 L and V2 = 16.1 L.

n = 1 mol

R = 8.314 J/mol/K

T = 163 K

V1 = 31.5 L

V2 = 16.1 L

W3 = -(1 mol)(8.314 J/mol/K)(163 K) ln(16.1 L/31.5 L)

W3 = -4456.5 J

The heat released to the reservoir during this process is given by:

Q3 = -W3 = 4456.5 J

Step 4: Heating at constant volume to its original temperature of 325 K

Since this is a constant volume process, no work is done by the engine. The heat released to the reservoir during this process is given by:

Q4 = nCvΔT

where Cv is the heat capacity at constant volume and ΔT is the change in temperature.

n = 1 mol

Cv = 21 J/K

ΔT = 325 K - 163 K = 162 K

Q4 = (1 mol)(21 J/K)(162 K)

Q4 = 3402 J

The net work done by the engine is given by the sum of the work done during steps 1 and 3:

Wnet = W1 + W3 = 4527.6 J - 4456.5 J = 71.1 J

The net heat absorbed from the reservoirs is given by the sum of the heat absorbed during steps 1 and 2, and the sum of the heat released during steps 3 and 4:

Qnet = Q1 + Q2 + Q3 +Q4 = 4527.6 J - 3402 J + 4456.5 J - 3402 J = 2179.1 J

The efficiency of the engine is given by:

η = Wnet/Q1 = 71.1 J/4527.6 J = 0.0157 or 1.57%

Therefore, the efficiency of the engine is 1.57%.

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To find the magnitude and sign of charge q₁ if the net force on q₃ is zero when three point charges are arranged on a line with charge q₃=+5.00nC and is at the origin, charge q₂=−3.00nC and is at x=4.00cm, and charge q₁ is at x=2.00cm, we need to apply the Coulomb's Law.

Let's consider the direction from q₁ to q₃, which is the positive x-axis.

Then we have,

|F₁₃| = |F₃₁|F₁₂ + F₂₁ = 0.

Since q₃ is positive, the direction of the force is to the right. Therefore, F₃₁ must also be to the right.

Let the magnitude of q₁ be

|q₁|.|F₃₁| = k |q₁| q₃ / r₃₁²

Here,

k = 9 x 10⁹ Nm²/C² is Coulomb's constant,

q₃ = 5.00 nC,

and r₃₁ = 2.00 cm = 0.02 m.

|F₃₁| = 9 x 10⁹ Nm²/C² × |q₁| × 5.00 nC / (0.02 m)²|F₃₁| = 11.25 |q₁| nN

The force on q₃ due to q₂ is in the negative x direction.

Therefore,

\(|F₃₂| = k |q₃| q₂ / r₃₂² = 9 x 10⁹ Nm²/C² × (5.00 nC) × (-3.00 nC) / (0.04 m)²= -168.75 nN\)

Now, let's apply the principle of superposition of forces. Since the net force on q₃ is zero, we have

F₃₁ + F₃₂ = 0

Therefore,

\(11.25 |q₁| nN + (-168.75) nN = 0|q₁| = 15 nC\)

The magnitude of q₁ is 15 nC.

Since the force on q₃ is to the right, the force on q₁ must be to the left.

Therefore, the sign of q₁ is negative. Hence, the magnitude and sign of charge q₁ if the net force on q₃ is zero is -15 nC.

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Answer:

100m/s

Explanation:

speed of wave=frequency × wave length

=10 × 10

=100m/s

Answer:

100 m/s

Explanation:

Formula :

Solving using the given values :

Answer:

2(3t-4)+3t=4t-2

This deals with linear equations with one unknowns

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