A large stone block is to be part of a harbour wall. The block is supported beneath the surface of the sea by a cable from a crane. Fig 2.1 shows the block with its top face a distance h beneath the surface of the sea.

Answer:

yes

Explanation:

the rug can take energy from the light causing the rug's color to fade

Yes, Kiara is right because the rug can take in energy from the Sun's light, thereby causing the rug's color to fade: C. Yes. The rug can take in energy from the light, causing the rug's color to fade.

The Sun is typically characterized by nuclear reactions that usually takes place or occur at its center, which eventually result in the release of radiant (heat) energy and electromagnetic radiation into planet Earth.

Although, these radiant (heat) energy and electromagnetic radiation from the Sun are essential and very important to life on planet Earth.

However, a disadvantage of radiant (heat) energy is that when taken in by conducting materials such as rugs, it causes their color to fade (change) over time.

In conclusion, Kiara is absolutely right in her thinking because light energy (sunlight) from the Sun can cause the rug's color to become faded over time.

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Answer:

 θ = 64.5º

Explanation:

To find the angles of a vector with respect to some axis of a coordinate system, the tangent function is used.

           tan θ = \(\frac{y}{x}\)

where y is the opposite leg and x is the adjacent leg

in this case the angle is

        θ = tan⁻¹   \(\frac{A_y}{A_x}\)

let's calculate

        θ = tan⁻¹ \(\frac{15.9}{ 7.6}\)

        θ = tan⁻¹ 2.09

        θ = 64.5º

this angle is with respect to the positive pâté of the x axis

The magnetic field points due north and the current is going straight up, the force will be perpendicular to both and will be to the east. Therefore, the resulting force on the current will be towards the east direction.

When a current-carrying wire is placed in a magnetic field, a force is exerted on the wire due to the interaction between the magnetic field and the current. The direction of the force is perpendicular to both the direction of the current and the direction of the magnetic field.
In the given scenario, the wire is carrying a current straight up and the magnetic field vector points due north. Therefore, the direction of the force on the current will be perpendicular to both the upward direction of the current and the northward direction of the magnetic field.
The right-hand rule can be used to determine the direction of the force on the current. If the right hand is wrapped around the wire with the thumb pointing in the direction of the current, and the fingers are curled in the direction of the magnetic field, the direction in which the fingers point will be the direction of the resulting force on the current.
In this case, since the magnetic field points due north and the current is going straight up, the force will be perpendicular to both and will be to the east. Therefore, the resulting force on the current will be towards the east direction.

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If two stars have the exact same spectral class, then they must have similar temperatures, masses, and sizes. The spectral class of a star is determined by its surface temperature, which affects the colors and intensities of the electromagnetic radiation emitted by the star. This information is typically used to classify stars into seven different spectral types: O, B, A, F, G, K, and M, with O being the hottest and M being the coolest.

If a newly discovered stellar object is cooler than an M star, then it is probably a brown dwarf, a type of sub-stellar object that is too small to sustain nuclear fusion in its core. Brown dwarfs are often referred to as "failed stars" since they are too small to become full-fledged stars but too large to be classified as planets. Brown dwarfs emit very little visible light and instead radiate in the infrared part of the spectrum. They can be difficult to detect due to their low luminosity and can be identified using specialized instruments that are sensitive to infrared radiation.

In summary, the spectral class of a star provides information about its temperature, size, and mass, and stars with the same spectral class will have similar properties. A newly discovered stellar object that is cooler than an M star is likely a brown dwarf, a sub-stellar object that emits primarily in the infrared part of the spectrum.

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To find the speed of the stone when it is at a height of 14m, we can use the principles of projectile motion and conservation of energy.

At the highest point of its trajectory, the stone momentarily comes to rest before falling back down. At this point, all of its initial kinetic energy is converted into gravitational potential energy.

Using the conservation of energy, we can equate the initial kinetic energy to the potential energy at a height of 14m:

(1/2)mv^2 = m g h

Where:

m = mass of the stone (which cancels out)

v = velocity of the stone

g = acceleration due to gravity

h = height

Rearranging the equation, we can solve for v:

v = sqrt(2gh)

Substituting the values, we get:

v = sqrt(2 * 9.8 m/s^2 * 14 m) = 18.92 m/s

Therefore, the stone is moving at a speed of approximately 18.92 m/s when it is at a height of 14m.

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A star generates 81 times more energy per unit area in a certain amount of time than one with a surface temperature that is three times that of the sun.

The photosphere's thermal emission, which occurs at a temperature of 5700 K, is what gives the Sun's spectrum its smooth portion. Because their photospheres are hotter or colder than the Sun's, respectively, we perceive stars in the sky that are bluer or redder than the Sun.

But how big is the Sun in comparison to these stars? The Stefan-Boltzmann law, which also applies to other objects emitting thermal radiation, connects the size of a star to its temperature and luminosity.

This includes the burning metal burners in electric stoves and the filaments in light bulbs. The brightness L is inversely related to the star's surface area and the fourth power of its surface temperature, according to the law's mathematical formulation.

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The 1st and 2nd Laws of Thermodynamics work together in various energy transfer processes within a household. For instance, the operation of a refrigerator can be used to illustrate these laws.

In a refrigerator, the 1st Law of Thermodynamics states that energy cannot be created or destroyed but can only be transferred or transformed from one form to another. The electrical energy supplied to the refrigerator is transformed into thermal energy as the compressor compresses the refrigerant, raising its temperature.

The 2nd Law of Thermodynamics comes into play as the compressed refrigerant releases heat to the surroundings, cooling down and condensing into a liquid state.

This process is known as heat transfer from a higher temperature region (inside the refrigerator) to a lower temperature region (outside the refrigerator). This aligns with the principle that heat naturally flows from hot to cold regions.

The condensed refrigerant then expands through an expansion valve, causing it to evaporate and absorb heat from the interior of the refrigerator, cooling down the contents.

This process follows the 2nd Law, as it involves the transfer of thermal energy from a lower temperature region (inside the refrigerator) to a higher temperature region (the evaporating refrigerant).

In summary, the operation of a refrigerator demonstrates the collaboration between the 1st and 2nd Laws of Thermodynamics. The 1st Law governs the overall energy transfer within the system, while the 2nd Law dictates the direction of heat transfer, ensuring that heat flows naturally from hot to cold regions.

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A. The vertical component of the shell’s muzzle velocity is 312.5 m/s

B. The horizontal component of the shell’s muzzle velocity is 541.3 m/s

C. The shell’s maximum height is 4982.5 m

D. The time taken to reach its peak (maximum height) is 31.9 s

A. How do I determine the vertical component of the velocity?

The vertical component of the velocity can be obtained as follow:

Vertical component of velocity = u × Sine θ

Vertical component of velocity = 625 × Sine 30

Vertical component of velocity = 312.5 m/s

B. How do I determine the horizontal component of the velocity?

The horizontal component of the velocity can be obtained as follow:

Horizontal component of velocity = u × Cosθ

Horizontal component of velocity = 625 × Cos30

Horizontal component of velocity = 541.3 m/s

C. How do I determine the maximum height?

The maximum heigth can be obtained as illustrated below:

H = u²Sine²θ / 2g

H = [(625)² × (Sine 30)²] / (2 × 9.8)

H = 4982.5 m

D. How do I determine the time taken to reach the peak?

t = uSineθ / g

t = (25 × Sine 306) / 9.8

t = 31.9 s

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The magnitude of the magnetic force on the proton is 4.31 × 10⁻¹¹ N.

Given values: B = 5.5 Tθ = 25°q = 1.602 × 10⁻¹⁹ VC = 1.00 × 10⁷ m/s Formula: The formula to calculate the magnetic force is given as;

F = qvBsinθ

Where ;F is the magnetic force on the particle q is the charge on the particle v is the velocity of the particle B is the magnetic field strengthθ is the angle between the velocity of the particle and the magnetic field strength Firstly, we need to determine the angle between the velocity vector and the magnetic field vector.

From the given data, The angle between velocity vector and x-axis;α = -15°The angle between magnetic field vector and x-axis;β = 25°The angle between the velocity vector and magnetic field vectorθ = 180° - β + αθ = 180° - 25° - 15°θ = 140° = 2.44346 rad Now, we can substitute all given values in the formula;

F = qvBsinθF

= (1.602 × 10⁻¹⁹ C) (1.00 × 10⁷ m/s) (5.5 T) sin (2.44346 rad)F

= 4.31 × 10⁻¹¹ N

Therefore, the magnitude of the magnetic force on the proton is 4.31 × 10⁻¹¹ N.

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The hill makes a 23° angle with the horizontal with the given force.

To hold a 23-pound crate on a hill, 6 pounds of force must be used.

Let's say the hill is at an angle to the ground.

There will be two weight components, one running parallel to the hill and the other perpendicular.

The only part that pushes the crate rearward is the one along the hill.

So,

23sin θ= 9

sin θ= 9/23

θ= 23°

The gradient is determined similarly to how slope can be measured as a percentage. Divide the increase by the run after changing the rise and run's units to match.

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Speed is a scalar quantity that is independent of direction. It is equal to the total distance traveled divided by the total time spent. This means that a plane can normally travel 3952 kilometers in three hours.

Step 1: Make a note of each time the direction changes. Step 2: Determine the distance traveled between each change in direction. Step 3: The total distance traveled is the sum of all the distances from step 2.

As a result, its typical speed is Speed = total distance / total time Speed = 3952 / 3 Speed = 1317.33 km/h.

However, under cloudy conditions, it will travel 184 km less in the same amount of time.

Then, we want to determine the speed under cloudy conditions. Since speed is equal to the total distance divided by the total amount of time, we need to know the total distance under cloudy conditions.

Total distance is equal to the normal distance traveled minus the delay caused by cloudy conditions Total distance. = 3952 - 184 Total distance = 3768 km Total time = 3 hours Speed = 3768 / 3 Speed = 1256 km/hr The plane is traveling at a speed of 1256 km/hr in cloudy conditions. Because it covered less ground in the same amount of time, its speed decreases.

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Answer:

Ver explicación

Explanation:

Según los principios de Arquímedes, el empuje hacia arriba de un objeto sumergido en un fluido es igual al peso del fluido desplazado.

Por eso

Empuje hacia arriba = volumen del objeto * densidad del fluido * aceleración debida a la gravedad

Empuje hacia arriba = 2 * 10 ^ -6 / 2 * 1 * 10 ^ 3 * 10

Empuje hacia arriba = 0.01 N

Desde;

Empuje hacia arriba = peso del fluido desplazado

peso del fluido desplazado = 0.01 N

Masa de fluido desplazado = 0.01 N / 10 = 1 * 10 ^ -3 Kg o 1 g

Answer:

84 joules

Explanation:

potential energy = mgh

5.24×1.63×9.8

= 84 joules

Answer:

Explanation:

The acceleration of an object given it's mass and the force acting on it can be found by using the formula

\(a = \frac{f}{m} \\ \)

f is the force

m is the mass

We have

\(a = \frac{20}{4} = 5 \\ \)

We have the final answer as

Hope this helps you

The change in relative humidity throughout the day and night is primarily influenced by two factors: temperature and the diurnal cycle of atmospheric moisture.

The relative humidity refers to the amount of water vapor present in the air compared to the maximum amount of water vapor the air can hold at a particular temperature. The change in relative humidity throughout the day and night is primarily influenced by two factors: temperature and the diurnal cycle of atmospheric moisture.

During the day, as the Sun heats the Earth's surface, the temperature rises. Warmer air can hold more water vapor, so the air's capacity to hold moisture increases. However, this does not necessarily mean that the actual amount of water vapor in the air increases proportionally. As the air warms up, it becomes less dense and can rise, leading to vertical mixing and dispersion of moisture. Additionally, the warmer air can enhance the evaporation of water from surfaces, including bodies of water and vegetation. These processes tend to result in a decrease in relative humidity during the day.

At night, the opposite occurs. As the Sun sets and the temperature drops, the air cools down. Cooler air has a lower capacity to hold moisture, so the relative humidity tends to increase. The cooler air reduces the rate of evaporation and allows moisture to condense, leading to an accumulation of water vapor in the air. The reduced temperature also lowers the air's ability to disperse moisture through vertical mixing. As a result, relative humidity tends to be higher during the night.

It's important to note that local geographic and meteorological conditions can also influence relative humidity patterns, so variations may occur depending on the specific location and climate.

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The internal resistance is 3.92 Ω.

An ideal emf of 19 volts, voltage across the terminals is 13.2 volts, current is 1.47 amps.

Resistance and voltage:

In terms of power, voltage is defined as the work done per unit charge across two points in an electric circuit. It is measured in volts (V).

Resistance is defined as the opposition to the flow of electric current through a conductor. It is measured in ohms (Ω).

Internal resistance:

Let R be the internal resistance.

The voltage, V = 19 V - IR

The voltage across the terminals, V' = 13.2 V, and the current, I = 1.47 A.

The equation for calculating internal resistance is given asR = (V - V') / I

Substitute the given values.

R = (19 - 13.2) / 1.47R = 3.92 Ω

Therefore, the internal resistance is 3.92 Ω.

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Answer:

A. 28 m/s

B. 5.72 s

Explanation:

The following data were obtained from the question:

Maximum height (h) = 40 m

Acceleration due to gravity (g) = 9.8 m/s²

A. Determination of the initial velocity.

Maximum height (h) = 40 m

Acceleration due to gravity (g) = 9.8 m/s²

Velocity at maximum height (v) = 0 m/s

Initial velocity (u) =.?

v² = u² – 2gh (Ball is going against gravity)

0² = u² – (2 × 9.8 × 40)

0 = u² – 784

Collect like terms

0 + 784 = u²

784 = u²

Take the square root of both side

u = √784

u = 28 m/s

Thus, the ball was kicked with a velocity of 28 m/s

B. Determination of the time of flight.

We'll begin by calculating the time taken to reach the maximum height. This can be obtained as follow:

Velocity at maximum height (v) = 0 m/s

Initial velocity (u) = 28 m/s

Time taken to reach the maximum height (t) =?

v = u – gt (Ball is going against gravity)

0 = 28 – 9.8t

Rearrange

0 + 9.8t = 28

9.8t = 28

Divide both side by 9.8

t = 28/9.8

t = 2.86 s

Finally, we shall determine the the time of flight as follow:

Time taken to reach the maximum height (t) = 2.86 s

Time of flight (T) =?

T = 2t

T = 2 × 2.86

T = 5.72 s

Therefore, the time of flight for the ball is 5.72 s

Answer:

mass of the products

Explanation:

The law of conservation of mass states that mass in an isolated system is neither created nor destroyed by chemical reactions or physical transformations. According to the law of conservation of mass, the mass of the products in a chemical reaction must equal the mass of the reactants.

The sun produces 3.6 x 10^26 joules of energy every second

How to calculate power ?

Power is a measure of the rate at which work is done or energy is transferred. It is defined as the amount of energy transferred per unit time. The formula for calculating power is P = E/t, where P is power, E is energy, and t is time. In other words, power is the energy consumed or produced per unit time. For example, if a machine consumes 1000 Joules of energy in 10 seconds, its power output would be 100 Joules per second (P = 1000 J / 10 s). The unit of power is the Watt (W), which is equivalent to one Joule per second (1 W = 1 J/s). Power is a crucial concept in physics and engineering, as it is used to measure the efficiency of machines and energy systems.

To calculate the power output of the sun, we can use the formula E=mc^2, where E is the energy released, m is the mass converted to energy, and c is the speed of light.

Given that the sun converts 4 million tons of matter into energy every second, we can find the energy released per second as follows:

m = 4 million tons = 4 x 10^9 kg (1 ton = 1000 kg)

c = 3 x 10^8 m/s (speed of light)

E = mc^2 = (4 x 10^9 kg) x (3 x 10^8 m/s)^2 = 3.6 x 10^26 J/s

This is the power output of the sun, which is also known as its luminosity. Therefore, the sun produces 3.6 x 10^26 joules of energy every second

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An Olympic-sized swimming pool filled with golf balls would have more balls than the same pool filled with soccer balls. This is because golf balls are smaller than soccer balls, so more of them can fit into the same volume.

To give some perspective, an Olympic-sized swimming pool has a volume of about 2.5 million liters. If we assume that a soccer ball has a diameter of 22 cm and a golf ball has a diameter of 4.3 cm, we can calculate the number of balls that could fit into the pool.

For soccer balls:

Volume of a soccer ball = 4/3 * pi * (0.11 m)³ = 0.00524 m³

Number of soccer balls needed to fill the pool = 2,500,000 L / 0.00524 m³ = 477,099 soccer balls

For golf balls:

Volume of a golf ball = 4/3 * pi * (0.0215 m)³ = 0.00000887 m³

Number of golf balls needed to fill the pool = 2,500,000 L / 0.00000887 m³ = 281,258,191 golf balls

So an Olympic-sized swimming pool filled with golf balls would have significantly more balls than the same pool filled with soccer balls.

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Answer:

Velocidad final, V = 8 m/s

Explanation:

Dados los siguientes datos;

Velocidad inicial, u = 4 m/s

Aceleración, a = 2 m/s²

Tiempo, t = 2 segundos

Para encontrar la velocidad final (v), usaríamos la primera ecuación de movimiento;

V = u + at

Sustituyendo en la fórmula, tenemos;

V = 4 + 2*2

V = 4 + 4

Velocidad final, V = 8 m/s

The equation of GPE is mgH, where m is mass, g is gravitational acceleration, and H is the height.

If we're solving for the change in GPE, then:

∆\(U_{g}\) = mg∆H

Input our given values for m and g:

∆\(U_{g}\) = 0.25 * 9.80 * ∆H

The book falls from 2 meters high to 0.5 meters high, so:

∆\(U_{g}\) = 0.25 * 9.80 * (2.0 - 0.5)

∆\(U_{g}\) = 0.25 * 9.80 * 1.5

∆\(U_{g}\) = 3.675 (J)

Adjust for significant figures:

∆\(U_{g}\) = 3.7 (J)

The change in gravitational potential energy was 3.7 (J)

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2. A new substance forms

Chemical changes change composition, physical never do.

Hope This Helps, Good Luck!

Answer:

2: A new substances forms

Explanation:

Answer: Re-Horakhty

Explanation:

He has a human body and a falcon head, he has a crown in form of a disk with a cobra on his head. Ra-Horakhty was thought of as the god of the rising sun.

The magnitude of the resulting angular acceleration of the pulley is 8.0 rad/s².

To find the magnitude of the resulting angular acceleration of the pulley, we can use the formula:

α = τ / I

Where α is the angular acceleration, τ is the torque applied to the pulley, and I is the moment of inertia of the pulley.

First, we need to find the torque applied to the pulley. The force applied to the string (12 N) creates a torque by pulling on the pulley, which can be calculated using the formula:

τ = rF

Where τ is the torque, r is the radius of the pulley (0.10 m), and F is the force applied to the string (12 N).

τ = (0.10 m)(12 N) = 1.2 N·m

Now we can use this torque and the moment of inertia of the pulley (0.15 kg·m²) in the formula for angular acceleration:

α = τ / I

α = (1.2 N·m) / (0.15 kg·m²)

α = 8.0 rad/s²

Therefore, the pulley will have an angular acceleration of 8.0 rad/s².

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Answer:

thecool me

Explanation:

Answer:

a = 0.5m.s²

Explanation:

Fnet = m×a

50 = 100×a

a = 0.5

Even with infinitely powerful telescopes, we can look back in time only until the Cosmic Microwave Background (CMB), around 380,000 years after the Big Bang.

The Cosmic Microwave Background is the earliest observable stage of the universe's history. Before the CMB, the universe was in a hot, dense state known as the "opaque plasma" where photons were constantly scattered by charged particles, making it impossible to see through.

Approximately 380,000 years after the Big Bang, the universe cooled down enough for atoms to form, allowing photons to travel freely. This event is called "recombination," and the released photons created the CMB. Even with infinitely powerful telescopes, we cannot observe anything prior to the CMB because light did not travel freely in the opaque plasma.

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Answer:

the galaxy is moving away from us and the magnitude of the displacement gives the value of the relative velocity

Explanation:

The wavelength and frequency of light is affected by the relative motion of the Source (galaxy) and the observer (us on Earth); when the shift is towards the red it indicates that the bodies are moving away from each other.

Consequently the galaxy is moving away from us and the magnitude of the displacement gives the value of the relative velocity