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The angular momentum of a system is conserved when there is no external torque acting on the system.

This is known as the law of conservation of angular momentum. Mathematically, it can be expressed as:

L = Iω

where L is the angular momentum of the system, I is the moment of inertia, and ω is the angular velocity. If the net external torque acting on the system is zero, then the angular momentum of the system remains constant.

This law has many applications in physics, including in rotational motion, celestial mechanics, and quantum mechanics. For example, the conservation of angular momentum explains why a spinning ice skater speeds up when they bring their arms inwards, and why the Earth's rotation remains constant over long periods of time.

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The temperature of the air would be 6.3 °C.

The speed of sound in air depends on the temperature of the air according to the equation:

v = 331.5 m/s * sqrt(T/273.15 K)

where v is the speed of sound, T is the temperature of the air in Kelvin, and 273.15 K is the temperature at which the speed of sound is 331.5 m/s.

We know the frequency and wavelength of the sound wave, which are:

f = 668 Hz

λ = 0.5 m

The speed of sound can be calculated from the formula:

Substituting this value for v and the given value for the speed of sound at 0°C into the equation above and solving for T gives:

The temperature of the air is 279.4 K, which is equivalent to 6.3 °C, rounded to 1 decimal place.

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The frequency ratio between fi = 256 Hz and f2 = 320 Hz is 4:5.Adding the interval of a fifth to f2 (320 Hz) results in fs (400 Hz). The frequency ratio falfi is 5:8.The frequency of fs is 400 Hz.

The interval of a fifth in music theory is the distance between two notes that are five notes apart in a diatonic scale. For example, the distance between C and G is a fifth.

Frequency and pitch are related in music because the pitch of a note is determined by its frequency. Lower frequencies result in lower pitches, whereas higher frequencies result in higher pitches.

The relationship between frequency and pitch is logarithmic, meaning that a doubling of frequency results in an increase of one octave (a doubling of pitch).

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The centripetal acceleration of the ice skater spinning on the ice at 4.00 rev/s whose nose is 0.120 m from the axis of rotation is [tex]75.78m/s^2[/tex]

Given the rate of revolutions of a skater = 4rev/s

The distance of nose from skater = 0.120m

Let the centripetal acceleration of his nose = ac

The centripetal acceleration of an object moving in a circular path can be calculated using the equation:

[tex]ac = (v^2)/r[/tex]

where v is the velocity of the object, and r is the radius of the circle.

In this case, the angular velocity of the skater is 4.00 rev/s.

Since 1 revolution is = 2π radians,

the skater's angular velocity can be expressed as:

v = rω such that

[tex]\omega = (4.00 rev/s) * (2\pi radians/1rev) = 8\pi rad/s = 25.13rad/s[/tex]

Using the equation above, the centripetal acceleration of the skater's nose can be calculated as:

[tex]ac = \omega^2r^2/r = \omega^2r[/tex]

[tex]ac = (25.13 radians/s)^2*0.120 m[/tex]

[tex]ac = 75.78m/s^2[/tex]

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The sum of the separate voltages in a series circuit, or V = V1+V2, determines the total voltage. Its total resistance (aka load) of a circuit is, as you might assume, equal to the sum individual resistors, R = R1 + R2.

There are two or even more pathways for current to travel through in a parallel circuit. Each element of the parallel connection has the same voltage applied to it. The total flow of current from the source is equivalent to the total of a currents across each path.

If the identical amount of current passes through each resistor at the same time, two or even more resistors are considered to be linked in series. That voltage over each resistor in such circuits varies. If any resistor in a linked to the concepts breaks or has a problem, the circuit as a whole is shut off.

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The impulse exerted by Earth on the apple during the first 0.50 m of its fall is 0.74 Ns, and during the next 0.50 m, it is 0.37 Ns.

Using the equation for impulse, which is impulse = force x time, we can calculate the impulse that Earth exerts on the apple during the first 0.50 m and the next 0.50 m of its fall.

First, we need to calculate the force of gravity acting on the apple, which is given by the equation F = mg, where m is the mass of the apple and g is the acceleration due to gravity (approximately 9.81 m/s^2).

The mass of the apple is 150 g, which is 0.15 kg. Therefore, the force of gravity acting on the apple is:

F = mg = (0.15 kg)(9.81 m/s^2) = 1.47 N

Now, we can calculate the impulse exerted by Earth on the apple during the first 0.50 m of its fall. Since the force of gravity is constant, we can use the equation impulse = force x distance, where distance is the distance over which the force is applied.

Impulse during first 0.50 m = force x distance = (1.47 N)(0.50 m) = 0.74 Ns

For the next 0.50 m of the apple's fall, we need to consider that the velocity of the apple is increasing, so the force of gravity is no longer constant. However, we can approximate the average force over this distance as half the force at the start of the fall, or 0.5(1.47 N) = 0.74 N.

Using the same equation impulse = force x distance, we can calculate the impulse exerted by Earth on the apple during the next 0.50 m of its fall:

Impulse during next 0.50 m = force x distance = (0.74 N)(0.50 m) = 0.37 Ns.

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Answer:

Q = h . A . (T (t) - T env)

the rate of loss of heat from a body is directly proportional to the difference in the temperature of the body and its surroundings.

Explanation:

Q = rate of heat transfered out of the body

h = heat transfers coefficient

A = heat transfer to surface area

T = temperature of the objects surface

T env = temperature of the environment

T (t) = time dependent temperature

Observations of a Milky Way have brought out that stars close to the galaxy's edge rotate rather quickly, which implies that there is more solar masses that we are unable to perceive.

The Sun-like star is known as a 1-solar mass star. At the rightmost to the bottom left in the stars, the primary structure region is where this type of star begins. Nearing the end its main-sequence existence, the star transforms into a red giant as it keeps burning its fuel.

As far as I'm aware, "massive stars" are defined as having masses equal or greater than to eight solar masses.

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Answer:  D, Edit each test document and write down the number of errors

Explanation: I did the test and got 5/5 gl! :D

Answer: 0.715

Explanation: from grams to newtons

Answer:

To solve this problem, we need to use the formula: calories burned = (power expended in watts x time in seconds) / 4.184 First, we need to find the power expended in watts. We can use the formula: power = force x velocity Assuming the cyclist weighs 75 kg, the force required to maintain a speed of 7.3 m/s on level ground is: force = mass x acceleration force = 75 kg x 0 m/s^2 (since the cyclist is not accelerating) force = 0 N Therefore, the power expended by the cyclist is: power = force x velocity power = 0 N x 7.3 m/s power = 0 W Now we can plug in the values into the calories burned formula: calories burned = (power expended in watts x time in seconds) /

b) Galileo Galilei. Galileo was an Italian scientist and astronomer who made several important observations that seemed to contradict the current beliefs of the Roman Catholic Church.

His observations included sunspots, rough features on the moon, the phases of Venus, and the moons of Jupiter orbiting other bodies than the Earth. These observations were instrumental in helping to demonstrate that the Earth was not the center of the Universe, as the Church had previously believed. He is often referred to as the "father of modern observational astronomy" and the "father of modern science.". Additionally, he made detailed studies of sunspots, which contradicted the idea of a perfect and unchanging heavens.

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The zeros of the function f(x) are x = 3 and x = -12.

To find the zeros of a function, we need to solve the equation f(x) = 0. In this case, we have:

f(x) = -x^2 - 9x + 36

Setting f(x) = 0, we get:

-x^2 - 9x + 36 = 0

We can solve this quadratic equation by factoring or by using the quadratic formula. Factoring, we get:

-(x - 3)(x + 12) = 0

Setting each factor equal to zero, we get:

x - 3 = 0 or x + 12 = 0

Solving for x, we get:

x = 3 or x = -12

These zeros represent the horizontal distances from the diving board where the vertical distance of the diver from the pool's surface is zero. In other words, they represent the points where the diver enters the water. The zero x = 3 represents the point where the diver enters the water at a distance of 3 feet from the diving board, while the zero x = -12 represents the point where the diver enters the water at a distance of 12 feet behind the diving board. However, the negative solution x = -12 is not meaningful in this context since it represents a point that is behind the diving board, so we discard it. Therefore, the zero x = 3 is the meaningful solution, which represents the point where the diver enters the water at a distance of 3 feet from the diving board.

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As the frequency of a wave is increased, its wavelength decreases and its velocity remains the same.

Wavelength and frequency are inversely proportional in a wave. This implies that a wave's wavelength reduces as its frequency rises and vice versa.

The velocity of a wave represents how fast the disturbance is traveling through the medium. It is determined by the properties of the medium, such as its density and elasticity, and is independent of the wave's frequency and wavelength.

The velocity of a wave can be used to calculate other wave properties, such as its period and amplitude.

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Answer:

bend

refract

................

To calculate the wavelength of the 'C' note from Problem 2 in this guitar string, we also need to know its frequency. Assuming you're referring to the 'C' note with a frequency of 261.63 Hz (C4), we need to use the formula,

Using the formula, wavelength = speed / frequency, we can calculate the wavelength as follows:
Wavelength = Speed of Sound / Frequency
wavelength = 220 m/s / 261.63 Hz
wavelength = 0.8415 meters.
wavelength = 84.15 cm.
Therefore, the wavelength of the 'C' note on this guitar string is approximately 0.8415 meters or 84.15 cm.
therefore the correct answer is : his guitar string is approximately 0.8415 meters or 84.15 cm.

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If a particle travels in a straight line while accelerating continuously. Starting at rest, the particle begins to move. The particle accelerates to a speed of 200 m/s² and travels 800 meters in 2 seconds.

We can apply the formula: Initial velocity + acceleration over time equals velocity.

Here, initial velocity is equal to 10 m/s, final velocity is equal to 80 m/s, acceleration is equal to 15 m/s2, and we must determine the time.

Thus, 80 = 10 + 15 x time.

By solving for time, we obtain:

time = (80 - 10)/15, or 4 seconds.

We can apply the formula: (Final velocity - Initial velocity) / Time = acceleration

Here, the initial speed is 40 m/s, the final speed is 4 m/s, and the time is 4 s.

Acceleration is therefore (4 - 40) / 4 = -9.0 m/s2. Remember that the roller coaster is decelerating, hence the acceleration is negative.

Time can be calculated using the formula: distance x speed.

Speed in this case is 110 km/h, and distance is 715 km.

Time therefore = 715 / (110/3600) = 28.7 hours.

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Answer:

The word equation for the reaction between iron and copper sulfate can be written as:

This is a displacement reaction, where the more reactive iron displaces the less reactive copper from the copper sulfate solution, forming iron sulfate and copper as products.

Explanation:

The balanced chemical equation for the reaction between iron and copper sulfate is:

This equation shows that one atom of iron (Fe) reacts with one molecule of copper sulfate (CuSO4) to produce one molecule of iron sulfate (FeSO4) and one atom of copper (Cu). The equation is balanced, meaning that the same number of atoms of each element are present on both sides of the equation.

When a transverse wave passes from a flexible spring into a heavier stiffer spring, the wave will have a greater speed in the stiffer spring due to the increased stiffness of the material. As a result, when the wave reaches the end of the stiffer spring, some of the energy from the wave will be reflected back towards the flexible spring.

The reflected wave in the flexible spring will be inverted, meaning that it will be flipped upside down. Additionally, the amplitude of the reflected wave will depend on the amount of energy that was transmitted into the stiffer spring.

If a large amount of energy was transmitted, then the reflected wave will have a higher amplitude. Conversely, if only a small amount of energy was transmitted, then the reflected wave will have a lower amplitude.

Overall, the reflected wave in the flexible spring will experience a change in both its orientation and amplitude due to the transmission and reflection of the initial wave in the stiffer spring.

When a transverse wave passes from a flexible spring into a heavier, stiffer spring where the wave has a greater speed, the reflected wave in the flexible spring will have a reduced amplitude and undergo a phase change of 180 degrees, resulting in an inverted waveform.

This occurs due to the impedance mismatch between the two springs, causing part of the wave energy to be reflected and part to be transmitted.

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Answer:

x² = ((n-1)s²)/o²

x² = (39 - 1) * (3.15)² / (2.94)²

x² = 38 * 9.9225 / 8.6436

x² = 43.7598

Rounding to three decimal places, x² = 43.760. Therefore, the value of x² is 43.760 when o = 2.94, n = 39, and s = 3.15.

Explanation:

Math

to minimize the change in motion of Car A due to the collision, we should decrease the mass of Car A relative to the mass of Car B.

Newton's Third Law states that for every action, there is an equal and opposite reaction. This means that in a collision between two objects, the force that Car A exerts on Car B is equal and opposite to the force that Car B exerts on Car A.

To minimize the change in motion of Car A due to the collision, we need to minimize the force that Car B exerts on Car A. This can be achieved by decreasing the mass of Car A relative to the mass of Car B.

We can see evidence of this from the system model in the activity. When Car A and Car B have equal masses, they experience equal and opposite forces during the collision, and their velocities are both affected to the same degree. However, when Car A has less mass than Car B, Car B experiences a greater force during the collision, but Car A experiences a smaller force. As a result, Car A experiences less of a change in velocity than it would if the masses were equal.

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The scientist name is b) Nicolaus Copernicus.

Nicolaus Copernicus was a Polish astronomer who is credited with ushering out old astronomy by constructing a model of the solar system with the Sun at its center and the planets moving around the Sun. He published his model, known as the heliocentric model, in 1543. This model eventually replaced the geocentric model, which placed the Earth at the center of the universe. Copernicus is also credited with making significant contributions in other areas of astronomy, including the motion of the moon and the motion of comets.This model replaced the Ptolemaic model, which had held that the Earth was the center of the universe, and ushered in a new era of astronomy.

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If Cv reduces by 2%, calculate the percentage gain in efficiency of the a diesel cycle with a bit rate of 16 and a cut-off ratio of 10% of a swept volume. Taking Cv = 0.717 & 1.4; the answer is 1.23%.

In cubic units, the volume answer is displayed. Volume is determined by multiplying the length, breadth, and height.

The 3-dimensional space that is occupied by matter or surrounded by a surface is measured in volume, which is expressed in cubic units. A derived measure called a cubic meter (m3) serves as the SI volume measurement unit.

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The direction of the magnetic field with respect to your screen is d) to the left.

The upward force experienced by the proton indicates that the magnetic field is acting perpendicular to both the motion of the proton (due east) and the force it experiences. According to the right-hand rule for magnetic forces, if you point your thumb in the direction of the velocity of the charged particle (due east in this case) and your fingers in the direction of the force (vertically upward), then the direction your palm faces represents the direction of the magnetic field.

In this scenario, if you extend your left hand and point your thumb to the right (due east) and your fingers vertically upward, your palm will face to the left, indicating that the magnetic field is directed to the left. Therefore, option d) to the left is the correct answer. The magnetic field is perpendicular to the plane of the screen and points into the screen.

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To calculate the energy gained when changing the temperature of 100g of solid candle wax at 20°C to liquid at 68°C, we need to consider two processes:

(1) raising the temperature of the wax from 20°C to 68°C

(2) melting the wax at its melting point of 68°C.

The first process requires an energy input of Q1 = mcΔT, where m is the mass of the wax (100 g), c is the specific heat capacity of the wax (29 J/g°C), and ΔT is the change in temperature (68°C - 20°C = 48°C). Thus, Q1 = (100 g)(29 J/g°C)(48°C) = 139,200 J.

The second process requires an energy input of Q2 = mL, where L is the specific latent heat of fusion of the wax (220 J/g). Thus, Q2 = (100 g)(220 J/g) = 22,000 J.

Therefore, the total energy gained when changing the temperature of 100g of solid candle wax at 20°C to liquid at 68°C is Q = Q1 + Q2 = 139,200 J + 22,000 J = 161,200 J.

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The angle on incidence and the characteristics of the objects involved determine how intense the reflected & refracted rays are. But generally speaking, there are some trends that may be seen.

The incident & surface normal planes specify the plane in which light that Reflects always falls. The rules of reflection applies to images created by both curved and planar mirrors.

Reflection is the act of light simply returning when it strikes a material on a plane. Refraction is the process by which light passes through a medium and undergoes a change that causes it to bend. The medium returns the light that it received.

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The speed of the car just after the gravel is loaded is 2.8m/s.

An isolated system experiences a change in momentum to zero when the starting and final velocities are equal. The reactions between the particles are separated from the surroundings. Momentum is conserved, so we use the rule of conservation of momentum, which is expressed by the equation

   [tex]P_{f}[/tex]=[tex]P_{i}[/tex](1)

Railway is frictionless due to isolated mechanism. The thing travels at a momentum p-based speed while having mass. m

An object's bulk and velocity v are combined to form a vector.Equation of the form gives the velocity.

[tex]p=mv[/tex]

Using expression p into equation (1)

[tex]m_{f}v_{f}[/tex]=[tex]m_{i}v_{i}[/tex](2)

The final mass of a car is its original mass plus the mass of the gravel added. A car has an initial mass of.10000Kg  preliminary pace is

[tex]m_{f}[/tex]=10000Kg+4000Kg=14000Kg

initial speed 4m/s

the final speed should be found after solving the equation(2) for [tex]v_{f}[/tex]

[tex]v_{f}[/tex]=[tex]\frac{m_{i}v_{i} }{m_f} }[/tex]=[tex]\frac{10000Kg(4m/s)}{1400Kg}[/tex]=2.8m/s

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The velocity of the ball 3 seconds after reaching the peak height is 30 m/s. And the right option is D. 30 m/s

Velocity is the rate of change of displacement.

To calculate the velocity the ball will travel after reaching the peak height, we use the formula below

Formula:

Where:

From the question,

Given:

Substitute these values into equation 1

Hence, the velocity is 30 m/s.

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Using the formula given, the Schwarzschild radius are calculated below;

Problem 1:

Given: R = 2GM/c² and R = 1.48 × 10⁻²⁷M

Using c = 3x10^8 m/s and G = 6.67x10^-11 Nm^2/kg^2

G = gravitational constant, c = speed of light

Substituting the values, we get:

1.48 × 10⁻²⁷M = 2GM/c²

R = 2GM/c² = (2 x 6.67x10^-11 x M)/(9x10^16)

R = 1.48 x 10^-27 M

The radius is 1.48 * 10^-27M

Problem 2:

To calculate the Schwarzschild radius, we simply need to substitute the values into the equation

Given: M = 5.7 x 10^24 kg

Using R = 2GM/c² = (2 x 6.67x10^-11 x M)/(9x10^16)

R = 8.45 * 10^-3m

Problem 3:

Given: M = 1.9 x 10^30 kg

Using R = 2GM/c² = (2 x 6.67x10^-11 x M)/(9x10^16)

R = 2816.2 kilometers

Problem 4:

Given: M = 250 billion suns = 250 x 10^9 x 1.9 x 10^30 kg

Using R = 2GM/c² = (2 x 6.67x10^-11 x 2.5 x 10^11 x 1.9 x 10^30)/(9x10^16)

R = 7.04 x 10^14 kilometers

Problem 5:

Given: M = 60 kg

Using R = 2GM/c² = (2 x 6.67x10^-11 x 60)/(9x10^16)

R = 8.9 x 10^-26 meters

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the coefficient of kinetic friction is approximately 0.689, the mechanical advantage is 4/3, and the velocity ratio is 1.22.

the coefficient of kinetic friction, mechanical advantage, and velocity at the bottom of the ramp, we need to use the conservation of energy principle. At the top of the ramp, the block has potential energy given by mgh, where m is the mass of the block, g is the acceleration due to gravity, and h is the height of the ramp. At the bottom of the ramp, the block has kinetic energy given by (1/2)m[tex]v^2[/tex], where v is its velocity. Assuming there is no energy loss due to friction, we can equate the potential energy at the top of the ramp to the kinetic energy at the bottom of the ramp.

1-Ep = Ek + Wf

mgh = 1/2 * m[tex]v^2[/tex]+ μk * mg * d

Solving for the coefficient of kinetic friction, we get:

μk = (mgh - 1/2 * m[tex]v^2[/tex]) / (mgd)

μk = (2gh - [tex]v^2[/tex]) / (2gd)

μk = (2 * 9.81 m/[tex]s^2[/tex] * 3 m - [tex]v^2[/tex]) / (2 * 4 m)

μk = 0.689

2-The mechanical advantage of the ramp is given by the ratio of the length of the ramp to the height from which the block falls:

MA = d / h = 4 m / 3 m = 4/3

3-VR = v / sqrt(2gh)

Ep = Ek + Wf

mgh = 1/2 * m[tex]v^2[/tex] + μk * mg * d

Solving for v, we get:

v = sqrt(2gh - 2μkgd) = 5.77 m/s

So the velocity ratio is:

VR = 5.77 m/s / sqrt(2 * 9.81 m/[tex]s^2[/tex] * 3 m) = 1.22

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