how far away does the image appear to joe? express your answer in meters, to three significant figures or as a fraction.

The required velocity of the satellite to orbit Earth at a constant distance of 8,000,000 m is 7,905 m/s.

What is Gravity?

Gravity is a force that attracts two bodies with mass towards each other. It is one of the four fundamental forces of nature and is responsible for holding planets in orbit around stars and stars in orbit around galaxies. Gravity is described by Einstein's theory of general relativity, which states that gravity is the result of the curvature of spacetime caused by the presence of mass or energy.

where G is the gravitational constant M is the mass of the Earth  and r is the distance between the satellite and the center of the Earth (8,000,000 m).

First, we need to calculate the gravitational acceleration due to the Earth's gravity at this altitude using the formula:

g = GM/[tex]r^{2}[/tex]

g = (6.67 x 10^-11 N [tex]m^{2}[/tex]/[tex]kg^{2}[/tex]) x (5.97 x [tex]10^{24}[/tex] kg) / (8,000,000 m)^2

g = 6.19 m/[tex]s^{2}[/tex]

The required velocity can be found using:

v = √(GM/r)

v = √[(6.67 x 10^-11 N[tex]m^{2}[/tex]/[tex]kg^{2}[/tex]) x (5.97 x [tex]10^{24}[/tex] kg) / (8,000,000 m)]

v = 7,905 m/s

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If a plunge pool undercuts the support of the resistant rock layer above and causes it to collapse, then this can result in a potentially dangerous situation, the collapse can cause erosion of the surrounding soil and vegetation, leading to further instability of the area.

The collapse of the resistant rock layer can lead to a landslide or rockfall, which can cause significant damage to the surrounding area and pose a threat to anyone in the vicinity. Additionally, the collapse can cause erosion of the surrounding soil and vegetation, leading to further instability of the area.

To prevent such occurrences, it is important to properly design and maintain plunge pools. The proper design includes ensuring that the pool is not located near a resistant rock layer or if it is, that measures are put in place to prevent the pool from undercutting the rock.

This may include reinforcing the rock layer, installing retaining walls or other support structures, or moving the pool to a different location.

Regular maintenance of the plunge pool is also crucial to prevent erosion and undercutting of the rock layer. This may involve monitoring the pool for signs of erosion or instability and taking corrective action if necessary, such as repairing or reinforcing the surrounding area.

Overall, it is important to ensure that plunge pools are designed and maintained properly to prevent the undercutting of resistant rock layers and potential collapses, which can have serious consequences.

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The instantaneous angular velocity is 20.0 s is 400 rad/s.

Since the angular acceleration is constant, we can use the formula:

[tex]θ = 1/2 * α * t^2 + ω0 * t[/tex]

where

[tex]θ = angle rotated = 50 rad[/tex]

[tex]α = angular acceleration[/tex]

[tex]t = time = 5.0 s[/tex]

[tex]ω0 = initial angular velocity = 0 (starting from rest)[/tex]

Solving for α, we get:

[tex]α = 2 * (θ - ω0 * t) / t^2 = 2 * 50 rad / 5.0 s^2 = 20 rad/s^2[/tex]

Now, using the formula:

[tex]ω = α * t + ω0[/tex]

where

ω = instantaneous angular velocity at the end of 20.0 s (what we need to find)

[tex]α = angular acceleration = 20 rad/s^2[/tex]

[tex]t = time = 20.0 s[/tex]

[tex]ω0 = initial angular velocity = 0 (starting from rest)[/tex]

we get:

[tex]ω = 20 rad/s^2 * 20.0 s + 0 = 400 rad/s[/tex]

Therefore, the instantaneous angular velocity of the disk at the end of 20.0 s is 400 rad/s.

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The hotter an object is, the brighter and redder it appears, while cooler objects appear dimmer and bluer.

The question is asking about the relationship between an object's temperature and its brightness, color, and speed. The correct answers are that the hotter an object is, the brighter it appears and the redder it appears.

This is because hot objects emit more light, including more of the red end of the spectrum. The opposite is also true, meaning that cooler objects appear dimmer and bluer.

The speed of an object is not directly related to its temperature, so that answer is incorrect. However, it is important to note that the temperature of an object can affect its movement and velocity in certain situations.

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To calculate the average deceleration of the bus, we can use the following formula:

Here, the initial velocity (v1) is 60 km/h, the final velocity (v2) is 40 km/h, and the time taken (t) is 8 seconds. To make the units consistent, we'll convert the velocities from km/h to m/s.

Now, we can plug the values into the formula:

Now, we'll find a common denominator for the fractions and simplify:

So, the average deceleration of the bus is approximately -150/216 m/s².

The two forces on Earth that could change the motion of an object are friction and gravity.

Friction is a force that opposes the motion of an object when it is in contact with another surface. It can cause an object to slow down or come to a stop.

Gravity is a force of attraction between two objects, and it can cause an object to accelerate toward the center of the earth or towards another massive object. The gravitational force on an object depends on its mass and the distance between it and the other object.

Speed and acceleration are not forces, but rather measures of motion. Heat and light are also not forces that can change the motion of an object, but rather forms of energy that can be transferred to an object and affect its temperature or behavior. Direction and time are not forces, but concepts related to an object's motion.

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To determine the fraction of the wood submerged in water, we need to compare the density of the wood to the density of water.

The density of water is 1.000 g/cm3 at standard temperature and pressure.

If the wood has a density of 0.600 g/cm3, it is less dense than water, which means it will float on water.

To determine the fraction of the wood submerged in water, we can use the following formula:

fraction submerged = (volume submerged) / (total volume)

Since the wood floats on water, the volume of water displaced by the wood is equal to the volume of the submerged portion of the wood.

The total volume of the wood is equal to its mass divided by its density:

total volume = mass / density

We don't have the mass of the wood, but we can use any arbitrary value to determine the fraction submerged.

Let's assume the wood has a mass of 100 g.

total volume = mass / density = 100 g / 0.600 g/cm3 = 166.67 cm3

Now, let's assume that when the wood is submerged in water, it displaces 80 cm3 of water.

fraction submerged = (volume submerged) / (total volume) = 80 cm3 / 166.67 cm3 = 0.48

Therefore, approximately 48% of the wood is submerged in water.

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The pH after 15.0 mL of 0.175 M NaOH has been added is 11.58.

The balanced equation for the reaction between formic acid (HCOOH) and sodium hydroxide (NaOH) is:

[tex]HCOOH + NaOH $\rightarrow$ NaCOOH + H$_2$O[/tex]

First, we need to determine how many moles of HCOOH are present in the initial 30.00 mL sample:

moles of HCOOH = (0.125 mol/L) x (0.03000 L) = 0.00375 mol

Next, we can use the stoichiometry of the reaction to determine how many moles of NaOH are required to neutralize all of the HCOOH:

1 mol HCOOH reacts with 1 mol NaOH

moles of NaOH = 0.00375 mol

Now, we can calculate the concentration of NaOH after 15.0 mL has been added:

final volume = 30.00 mL + 15.0 mL = 45.00 mL = 0.04500 L

moles of NaOH = (0.175 mol/L) x (0.01500 L) = 0.002625 mol

initial moles of HCOOH = 0.00375 mol

moles of HCOOH remaining after reaction = 0.00375 mol - 0.002625 mol = 0.001125 mol

The concentration of HCOOH at this point is:

[HCOOH] = 0.001125 mol / 0.04500 L = 0.025 M

The Ka expression for formic acid is:

Ka = [H+][HCOO-] / [HCOOH]

We can assume that the [H+] concentration is equal to the [OH-] concentration at this point, since the reaction is at the equivalence point. Therefore:

Ka = (x)(x) / 0.025

where x is the concentration of [OH-].

Solving for x, we get:

x = sqrt(Ka*[HCOOH]) = sqrt(([tex]1.8x10^-4[/tex])*(0.025)) = 0.003794

pOH = -log[OH-] = -log(0.003794) = 2.42

pH = 14.00 - pOH = 11.58

Therefore, the pH after 15.0 mL of 0.175 M NaOH has been added is 11.58.

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The period of the asteroid in terms of Earth years is approximately 8.13 years. This means that it takes the asteroid 8.13 years to complete one orbit around the sun, while the Earth takes one year to complete its orbit.

To determine the period of an asteroid orbiting the sun, we can use Kepler's Third Law, which states that the square of the period of an object in orbit around the sun is proportional to the cube of its average distance from the sun. Mathematically, this can be expressed as:

[tex]\frac{(T_{\text{asteroid}})^2}{(T_{\text{earth}})^2} = \left(\frac{d_{\text{asteroid}}}{d_{\text{earth}}}\right)^3[/tex]

where T is the period of the asteroid and earth respectively, and d is the average distance from the sun.

Given that the asteroid is 4.5 times farther from the sun than the Earth, we can plug this ratio into the equation:

[tex]\frac{(T_{\text{asteroid}})^2}{(1 \text{ year})^2} = 4.5^3[/tex]

Solving for T asteroid, we get:

[tex](T_{\text{asteroid}})^2 = 4.5^3[/tex]

[tex]T_{\text{asteroid}} = \sqrt{4.5^3}[/tex] = 8.13 years

It is important to note that this calculation assumes a circular orbit, which is not always the case for asteroids.

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a) The initial phase angle is 45 degrees, (b) displacement at t=0 s is 1.414 m, (c) the velocity at t=0 s is -5.656 m/s, (d) maximum velocity is 1.568 m/s.

Simple harmonic motion (SHM) is a type of periodic motion in which an object oscillates back and forth around a central point with a constant amplitude and a sinusoidal pattern.

The equation of a simple harmonic motion (SHM) is given by:

y = A cos(ωt + φ)

where A is the amplitude, ω is the angular frequency, t is the time, and φ is the phase angle.

Comparing with the given equation, we have:

A = 2.0

ω = 4

φ = 45 degrees

a) The initial phase angle is 45 degrees.

b) To find the displacement at t=0 s, we substitute t=0 in the given equation:

y = 2.0 cos(4t + 45)

y = 2.0 cos(45)

y = 1.414 m

Therefore, the displacement at t=0 s is 1.414 m.

c) To find the velocity at t=0 s, we differentiate the given equation with respect to time:

v = dy/dt = -2.0ω sin(ωt + φ)

Substituting t=0, we get:

v = -2.0 x 4 sin(45)

v = -8.0 x 0.707

v = -5.656 m/s (Note: the negative sign indicates that the direction of the velocity is opposite to the direction of the displacement)

Therefore, the velocity at t=0 s is -5.656 m/s.

d) To find the maximum velocity, we differentiate the given equation with respect to time and set it equal to zero (since the maximum velocity occurs when the displacement is zero):

v = -2.0ω sin(ωt + φ) = 0

Solving for t, we get:

ωt + φ = nπ (where n is an integer)

4t + 45 = nπ

t = (nπ - 45)/4

At t=0, n=1, so:

t = (1π - 45)/4 = -11.25 degrees

(Note: the negative sign indicates that the displacement is at its maximum position, whereas the velocity is zero)

Substituting this value of t in the expression for velocity, we get:

v = -2.0 x 4 sin(-11.25 + 45)

v = 8.0 x 0.196

v = 1.568 m/s

Therefore, the maximum velocity is 1.568 m/s.

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The highest order that contains the entire visible spectrum is the first order. The visible spectrum is the range of wavelengths of light that are visible to the human eye.

The first order is the smallest wavelength range that contains the entire visible spectrum, which ranges from approximately 400-700 nm.

This is because the visible spectrum is a relatively small range of the electromagnetic spectrum compared to other regions, such as radio waves or X-rays.

When light is diffracted through a diffraction grating, the first order is the most commonly used order as it contains the majority of the visible spectrum.

However, higher orders can also contain parts of the visible spectrum, but they are less commonly used as they contain smaller ranges of wavelengths.

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The magnetic force acting on the charged particle is -0.707 N in the k direction and 0.707 N in the j direction.

In this problem, the charge of the particle is given as 1 C, and the velocity of the particle is 1 m/s at an angle of 45 degrees to the positive x-axis. We can break down the velocity vector into its x and y components as follows:

vx = vcos(45) = 0.707 m/s

vy = vsin(45) = 0.707 m/s

The magnetic field is given as 1 T in the negative x direction.

Substituting these values into the formula for the magnetic force, we get:

F = q * (vxi + vyj + 0k) x (-Bi)

where I, j, and k are the unit vectors in the x, y, and z directions, respectively.

Expanding the cross product, we get:

F = q*(-vxB)k + qvyB*j

Substituting the values for q, vx, vy, and B, we get:

F = (1 C) (-0.707 m/s) (1 T) k + (1 C) (0.707 m/s) *(1 T) *j

Simplifying, we get:

F = -0.707 k + 0.707 j

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The orbital period of the Earth around the Sun is determined by its distance from the Sun and its mass. If the Earth had twice its present mass but orbited at the same distance from the Sun, its gravitational attraction to the Sun would be stronger, resulting in a longer orbital period. Using Kepler's third law of planetary motion, we can calculate the new orbital period as follows:

T^2 = (4π^2/G) x (r^3/m)

where T is the orbital period, G is the gravitational constant, r is the distance from the Earth to the Sun, and m is the mass of the Earth.

Plugging in the values, we get:

T^2 = (4π^2/6.6743 x 10^-11) x [(149.6 x 10^6)^3 / (2 x 5.9722 x 10^24)]
T^2 = 1.085 x 10^20
T = √(1.085 x 10^20)
T = 1.09 x 10^10 seconds

Converting this to years, we get:
T = 346 years

Therefore, if the Earth had twice its present mass but orbited at the same distance from the Sun as it does now, its orbital period would be approximately 346 years.

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The maximum force developed in the cable carrying a uniform load of 500lb/ft that spans 200ft is approximately 3.6 × 10⁸ lb-in.

To calculate the maximum force developed in a cable carrying a uniform load of 500lb/ft that spans 200ft, we need to use the formula Fmax = (wL²)/8, where Fmax is the maximum force, w is the weight per unit length, and L is the length of the cable.

First, we need to find the weight of the cable per unit length, which is given as 500lb/ft.

Next, we need to convert the length of the cable from feet to inches, as the formula requires the length in inches. Therefore, 200ft = 2400 inches.

Now we can plug these values into the formula and solve for Fmax:
Fmax = (wL²)/8
Fmax = (500 x 2400²)/8
Fmax = 3.6 × 10⁸ lb-in.

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The period of the pendulum on this planet would be 2.51 seconds to three significant digits.

The period of a pendulum is given by 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.

Since the length of the pendulum is not changing, we can see that the period is directly proportional to the square root of the acceleration due to gravity.

On the other planet, the acceleration due to gravity will be:

[tex]g' = (GM')/r'^2[/tex]

where G is the gravitational constant, M' is the mass of the planet, and r' is the radius of the planet.

We are told that this planet has 2.5 times the mass of the Earth and 2 times the Earth's radius. Therefore,

[tex]M' = 2.5M[/tex]

[tex]r' = 2r[/tex]

Substituting these values into the formula for g', we get:

[tex]g' = (GM')/r'^2 = (G(2.5M))/(4r^2) = (5/8)g[/tex]

So the acceleration due to gravity on this planet is (5/8) times the acceleration due to gravity on Earth.

Using the formula for the period of a pendulum, we can see that the period of the pendulum on this planet would be:

[tex]T' = 2π√(L/g') = 2π√(L/(5/8)g) = 2.51s[/tex]

Therefore, the period of the pendulum on this planet would be 2.51 seconds to three significant digits.

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Option C) is correct in determining its mass from its gravitational pull on a spacecraft, satellite, or planet. Knowing the mass and size of an asteroid allows us to calculate its density.

Option A) is incorrect because reflectivity only tells us about the asteroid's surface properties, not its density. Option B) is incorrect because brightness variations during rotation do not give us enough information to determine density. Option D) and E) are methods of studying asteroids but are not directly related to determining density.

Knowing the size of an asteroid alone is not enough to determine its density, as different materials can have different densities at the same size. By measuring the gravitational pull of the asteroid on a spacecraft, satellite, or planet, we can determine its mass. Once we have the mass and the size, we can calculate the asteroid's density. Methods such as radar mapping and spectroscopic imaging can provide additional information about the asteroid's composition, but they are not directly used to determine its density.

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C) calculating its mass based on the gravitational attraction it exerts on a satellite, planet, or spacecraft.

We can determine an asteroid's mass by observing the gravitational pull it has on a neighbouring body, like a planet, satellite, or spacecraft. We can determine the asteroid's density once we know its mass and size. The gravitational force of an object will be stronger the denser it is. As a result, an asteroid must be denser the more massive it is for a given size.

The density of an asteroid can be determined using this method, which is especially helpful for small or erratic-shaped asteroids that are challenging to see using other techniques like radar mapping or spectroscopic imaging. Additionally, it can offer crucial details on the asteroid's makeup and structure, which can aid researchers in understanding the asteroid's formation and evolution.

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Answer:

The mass of the apple is 0.49kg

Explanation:

Potential energy=mgh

P=mgh

6=m×1.22×10

6=12.2m

divide both sides by 12.2

m=6/12.2

m=0.49kg

The bicycle travels from a to b. half the time it travels with speed 20 km/h, and half the time with the speed 30 km/h, therefore the average speed of the bicycle is 25 km/h.

To find the average speed of the bicycle, we need to use the formula:

Average Speed = Total Distance / Total Time

Since we don't know the distance between points A and B, we can assume it to be 'd' kilometers.

Let's say the time taken by the bicycle to travel from A to B is 't' hours.

According to the problem statement, the bicycle travels at 20 km/h for half the time and 30 km/h for the other half. This means that it covers the first half of the distance at 20 km/h and the second half at 30 km/h.

Hence, the time taken to cover the first half of the distance is (t/2) hours, and the time taken to cover the second half is also (t/2) hours.

Now, we can calculate the total time taken by the bicycle as follows:

Total Time = (t/2) + (t/2) = t hours

Next, we can calculate the total distance traveled by the bicycle as follows:

Total Distance = Distance Covered in First Half + Distance Covered in Second Half
                = (20 km/h) x (t/2) + (30 km/h) x (t/2)
                = 25t km

Substituting these values in the formula for average speed, we get:

Average Speed = Total Distance / Total Time
                   = 25t km / t hours
                   = 25 km/h

Therefore, the average speed of the bicycle is 25 km/h.

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The mass, 0.950 kg mass spun in a circle on a string of radius 60.0 cm and  centripetal force is 12.0 N, travels at a velocity of 2.75 m/s.

To find the velocity of the 0.950 kg mass, we can use the formula for centripetal force:

Fc = m * v² / r

where Fc is the centripetal force (12.0 N), m is the mass (0.950 kg), v is the velocity, and r is the radius (0.60 m).

1. Rearrange the formula to solve for velocity (v):

v² = (Fc * r) / m

2. Substitute the given values into the equation:

v² = (12.0 N * 0.60 m) / 0.950 kg

3. Calculate the result:

v² = 7.578947368

4. Take the square root of the result to find the velocity (v):

v = √7.578947368 ≈ 2.75 m/s

So, the velocity of the 0.950 kg mass is approximately 2.75 m/s.

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frame of reference that is not inertial. A non-inertial frame is now defined as a frame that accelerates relative to the underlying inertial reference frame. Newton's law won't be valid.

How does the framework function?

Performance could change depending on the lighting. The Frame automatically modifies the Plasma tvs brightness and contrasting settings after analyzing the lighting conditions in the room and the light level of your content.

What distinguishes a system from a frame?

the hard architecture (bones and condyle) that serves as an animal's body's framework. skeletal system, skeleton, and systema skeletale. system: a collection of organs or bodily parts that function or are anatomically related; "the body contains a system for organs for digestion."

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Force pairs that must be equal because they are action/reaction pairs. According to Newton's Third Law of Motion, for every action, there is an equal and opposite reaction. This means that action and reaction forces are always equal in magnitude but opposite in direction.

Some examples of action/reaction force pairs include:
1. When you push a book across a table (action), the book pushes back with an equal force (reaction).
2. When a person jumps off a diving board (action), the diving board exerts an equal and opposite force on the person (reaction).
3. A person walking on the ground pushes against the ground (action), and the ground pushes back with an equal force (reaction).

In all these cases, the action/reaction force pairs are equal and opposite, illustrating Newton's Third Law of Motion.

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The maximum altitude of the rocket is 1,542 km. The result is obtained by using the kinematical equation.

There are 3 main kinematical equations. They are

Where vf is the final velocity, vi is the initial velocity, g is the acceleration due to gravity, and h is the displacement.

We have initial velocity 5.5 km/s. The question is to find the maximum altitude.

Let's convert the initial velocity from km/s to m/s.

5.5 km/s = 5,500 m/s

In this case, at the maximum altitude, the final velocity is zero, vf = 0. While the acceleration due to gravity is g = -9.81 m/s².

We can use the second equation to get the maximum altitude, h
vf² = vi² + 2gh

0 = 5,500² - 2(9.81)h

30,250,000 = 19.62 h

h = 1,541,794 meters

h ≈ 1,542 km

Therefore, the maximum altitude the rocket will reach is approximately 1,542 km.

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Answer:

The answer for Work done is ≈224J or 224Nm

Explanation:

Work done=F×D

F=mg

F=W

d=15×22=330cm=3.3m

W=67.8×3.3

W=223.74J or 223.7Nm

W≈224J or 224 Nm

The minimum number of slits required is 393.

The minimum number of slits required to resolve two wavelengths [tex]\rm \( \lambda_1 \)[/tex] and [tex]\rm \( \lambda_2 \)[/tex] in a diffraction grating can be found using the formula [tex]\rm \( N = \frac{R}{m} \)[/tex], where [tex]\rm R = \frac{\lambda_{\text{avg}}}{\Delta \lambda} \)[/tex] and m is the order of the interference.

Given [tex]\( \lambda_1 = 471.0 \) nm and \\\\\( \lambda_2 = 471.6 \) nm, the average \( \lambda_{\text{avg}} \) is \\\\\( \frac{471.0 \, \text{nm} + 471.6 \, \text{nm}}{2} = 471.3 \) nm. \\\\The difference \( \Delta \lambda \) is \( 471.6 \, \text{nm} - 471.0 \, \text{nm} = 0.6 \) nm\\Calculate \( R = \frac{\lambda_{\text{avg}}}{\Delta \lambda} = \frac{471.3 \, \text{nm}}{0.6 \, \text{nm}} \\\\= 785.5 \).[/tex]

Now, substitute R into the formula for N:

[tex]\rm \[ N = \frac{R}{m} \\\\= \frac{785.5}{2} \\\\= 392.75 \][/tex]

Since N must be a whole number, the minimum number of slits required is N = 393.

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Therefore, the frequency of the wave is three Hz, the wavelength is 2 meters, and the wave speed is 6 meters per second.

f=vλ

If the wavelength and speed of a wave are known, these can be used to locate the frequency of a wave the usage of the equation f=vλ f = v λ , the place λ is the wavelength in meters and v is the pace of the wave in m/s. This also gives the frequency of the wave in Hertz.

Wave pace is associated to wavelength and wave frequency by means of the equation: Speed = Wavelength x Frequency. This equation can be used to calculate wave pace when wavelength and frequency are known.

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Polaris and Kochab's apparent magnitude of 2 and their proximity to the celestial pole make them appear larger in a photo or planetarium simulation compared to other stars.

A comparatively brilliant star as compared to other stars in the night sky, Kochab and Polaris both have an apparent magnitude of 2, making them both bright stars. In addition, they are both close to the celestial pole, which gives them a motionless appearance in the sky while giving the impression that other stars are rotating around them.

They stand out in the night sky because of their fixed location and brightness, and because of their brightness and proximity to the celestial equator, they look bigger than other stars in pictures or planetarium simulations.

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The angle of incoming light plays a significant role in determining the percentage of light that is transmitted through water versus the percentage of light that is reflected. As the angle of incidence of light increases, the amount of light that is transmitted through the water decreases, while the amount of light that is reflected off the surface of the water increases.

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The speed of current of the river is 2.5 km/hr and the motorboat can travel at a speed of 20 km/hr in still water, allowing it to travel 20 km against the current and 180 km with the current in 8 hours.

Let the speed of current be represented by v and the speed of the motorboat in still water be represented by b.

We know that the distance traveled is equal to the rate multiplied by the time:

distance = rate x time

Against the current:

20 = (b - v) x 8

With the current:

180 = (b + v) x 8

Solving these two equations simultaneously for b and v, we get:

b = 25 km/hr

v = 2.5 km/hr

Therefore, the speed of the current of the river is 2.5 km/hr.

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