An engine flywheel initially rotates counterclockwise at 6.77 rotations/s. Then, during 23.9 s, its rotation rate changes to 3.51 rotations/s clockwise. Find the flywheel's average angular acceleration (including its sign) in radians per second squared. Define counterclockwise rotation as positive.

We will have the following:

So, it's heigth is approximately 3.8 meters.

Answer:

Explanation:

A rocket of mass 2000 kg is ejecting the gases at the rate of 50 kg/sec with a speed of 20 m/second in gravity free space. you can search your question on the internet or search it up on Quora

Answer:

C. Mass

Explanation:

If something has the same weight than it has the same mass

Answer: C

Explanation: the mass is the same as weight so if they have weight they also must have mass.

Answer:

The current and the applied emf can be in phase if either of the two changes are made.

1) The inductance of the inductor is doubled, with everything else remaining constant.

2) The capacitance of the capacitor is doubled, with everything else remaining constant.

Explanation:

The current and applied emf for this type of circuit would be in phase when there is no phase difference between the two quantities. That is, Φ = 0°.

The phase difference between current and applied emf is given as

Φ = tan⁻¹ [(XL - Xc)/R]

XL = Impedance due to the inductor

Xc = Impedance due to the capacitor

R = Resistance of the resistor.

For Φ to be 0°, tan⁻¹ [(XL - Xc)/R] = 0

But only tan⁻¹ 0 = 0 rad

So, for the phase difference to be 0,

[(XL - Xc)/R] = 0

Meaning

XL = Xc

But for this question,

XL = 100 Ω, Xc = 200 Ω

For them to be equal, we have to find a way to increase the impedance of the inductor or reduce the impedance of the capacitor.

The impedance are given as

XL = 2πfL

Xc = (1/2πfC)

f = Frequency

L = Inductance of the inductor

C = capacitance of the capacitor

The impedance of the inductor can be increased from 100 Ω to 200 Ω by doubling the inductance of the inductor.

And the impedance of the capacitor can be reduced from 200 Ω to 100 Ω by also doubling the capacitance of the capacitor.

So, these are either of the two ways to make the current and applied emf to be in phase.

Hope this Helps!!!

The current in the circuit when the voltage across the resistor is equal to the voltage across the inductor is given by:

i(t) = [V_B / R] (1 - e^(-Rt/L)) where t is the time after the switch is closed.

The series circuit in the figure contains an ideal battery with a constant terminal voltage V_B=52 V, an ideal inductor L=42 H, a R=20-ohm resistor, and a switch S. Initially, the switch is open, and there is no current in the inductor. At time t=0 s, the switch is suddenly closed. What is the current in the circuit when the voltage across the resistor is equal to the voltage across the inductor-If the voltage across the resistor and the voltage across the inductor are equal, then the voltage across the inductor is V = IR, where I is the current in the circuit.

According to Kirchhoff's law, the voltage across the resistor is equal to the voltage of the battery minus the voltage across the inductor, i.e., V = V_B - L (di / dt), where di/dt is the rate of change of current, and L is the inductance of the inductor. Equating these two expressions for V, we have: IR = V_B - L (di / dt). Rearranging this equation gives us the following differential equation:di / dt + (R/L) i = (V_B / L)The solution of this differential equation is given by: i(t) = [V_B / R] (1 - e^(-Rt/L)).

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The correct option O frequency.  Waves change in amplitude, wavelength, velocity, and intensity as they go through different media, but not in frequency.

The waves that must pass through a medium like air or water are referred to as mechanical waves.

Thus, waves change in amplitude, wavelength, velocity, and intensity as they go through different media, but not in frequency.

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Answer:

(Question)  Which measure does not change when a wave moves from one medium to another?

(Answer)  frequency

(Question)  Water waves approaching the shore will slow down. Which statement describes another change that occurs?

(Answer)  The wavelength decreases.

(Question)  As a wave travels from one medium to another, its wavelength triples. Which statement describes the speed and frequency in the new medium?

(Answer)  The speed will triple, and the frequency will stay the same.

(Question)  Sonar systems used in water send out sound waves that reflect off the environment and then are detected. As water gets denser, the speed of sound in water increases. What would happen to the wavelength of a sonar wave as it moves into water with a 5% higher speed of sound?

(Answer)  The wavelength would increase by 5%.

(Question)  An earthquake sends seismic waves outward from the epicenter. The waves travel through different media in different directions. What will be true for all people who feel the earth shaking?

(Answer)  The earth will rise and fall with the same frequency.

Explanation:

I just did the quick check

Answer:

Explanation:

Assuming the x axis lies along the slope.

Fy = mgcosθ = 1150(9.81)cos8.70 = 11,151.6937... = 11.2 kN

Mv2m/A2 implementing energy efficiency. Usp = K 12k A2 = 12 mvm2 find the value of k for the ideal mass-less spring fixed wall indicated block mass attached other end the spring oscillates.

When a spring oscillates, the object travels back and forth on a regular basis. Following a predetermined amount of movement, the object will revert to its starting position. The amplitude of an object's motion refers to its movement's distance. The duration that the object needs to move back and forth is referred to as the period.

Motion that oscillates. A spring stretches when a mass is suspended from it vertically. The force the spring exerts on the mass is inversely related to how much the spring is stretched.

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Atom A has 10 protons, 12 neutrons, and 10 electrons, while Atom B has 10 protons, 10 neutrons, and 12 electrons.

Atom A and Atom B are not isotopes of each other. Isotopes are atoms of the same element that differ in the number of neutrons but have the same number of protons. In this case, Atom A and Atom B have different numbers of protons, which means they are not isotopes of each other.

The number of protons determines the element, and since Atom A and Atom B have different numbers of protons, they belong to different elements.

Isotopes, on the other hand, have the same number of protons but differ in the number of neutrons.

This variation in the number of neutrons gives isotopes different atomic masses while retaining the same chemical properties.

However, Atom A and Atom B do not fulfill this criterion, so they cannot be considered isotopes of each other.

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To find the distance between two charges, we can use Coulomb's law, which states that the force between two charges is proportional to the product of their magnitudes and inversely proportional to the square of the distance between them.

The formula for Coulomb's law is:

F = (k * |q1| * |q2|) / r^2

where:

F is the force between the charges,

k is the electrostatic constant (k = 8.99 × 10^9 N m^2/C^2),

|q1| and |q2| are the magnitudes of the charges, and

r is the distance between the charges.

Given:

|q1| = 2 × 10^-7 C

|q2| = 4.5 × 10^-7 C

F = 0.1 N

k = 8.99 × 10^9 N m^2/C^2

We can rearrange the equation to solve for r:

r^2 = (k * |q1| * |q2|) / F

Plugging in the values:

r^2 = (8.99 × 10^9 N m^2/C^2 * 2 × 10^-7 C * 4.5 × 10^-7 C) / 0.1 N

r^2 = (8.99 × 2 × 4.5) * (10^9 * 10^-7 * 10^-7) / 0.1

r^2 = 80.91 * (10^9 * 10^-7 * 10^-7) / 0.1

r^2 = 80.91 * 10^(-7 + 9 - 1)

r^2 = 80.91 * 10^1

r^2 = 809.1

Taking the square root of both sides:

r = √809.1

r ≈ 28.46

Therefore, the distance between the two charges is approximately 28.46 units.

Explanation:

v = s/t

20 = s/5

100 = s

s = 100 = 1 × 10².

When a cyclist bikes with an average velocity of 20 m/s for 5 seconds, the magnitude of the cyclist displacement would be 1×10² meters.

The total displacement covered by any object per unit of time is known as velocity. It depends on the magnitude as well as the direction of the moving object. The unit of velocity is meter/second. It can also be represented by the infinitesimal rate of change of displacement with respect to time. The generally considered unit for velocity is a meter per second.

The mathematical expression for velocity is given by the formula

velocity= total displacement/Total time

The area under the velocity-time graph represents the total displacement covered by the object while the slope of the velocity time graph represents the acceleration of the object.

For the given problem when a cyclist bikes with an average velocity of 20 m/s for 5 seconds,

Displacement =velocity×time

                       =20×5

                       =1×10²

The magnitude of the cyclist's displacement is 1×10²

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Answer: I think this is the answer, In a collision, there is a force on both objects that causes an acceleration of both objects; the forces are equal in magnitude and opposite in direction. For collisions between equal-mass objects, each object experiences the same acceleration.

Explanation: I had a question similar to this, Hope this helps!

Answer:

It is possible that some exoplanets may have alien life, but there is no conclusive evidence yet. Scientists use a variety of methods to detect exoplanets, such as observing the planet's transit in front of its host star, or measuring the gravitational influence of the planet on its star. However, detecting alien life is much more difficult, as it would require finding evidence of biological processes or signatures in the planet's atmosphere. So far, no direct evidence of alien life has been found, but scientists continue to search for signs of life in exoplanets that are considered habitable based on their distance from their star and other factors.

The magnitude of the average impulsive force imparted to the ball if it is in contact with the bat is 6000 N

The mass of the baseball, m = 0.15 kg

The speed at which it moves, v = 30 m/s

Time at which the baseball was in contact with the bat, t = 0.75 ms

t = 0.75/1000 s

t  = 0.00075 s

The impulsive force is given by the formula:

\(F=\frac{mv}{t}\)

Substitute m = 0.15 kg, v = 30, and t = 0.00075s into the formula above:

\(F=\frac{0.15 \times 30}{0.00075} \\\\F=6000N\)

The magnitude of the average impulsive force imparted to the ball if it is in contact with the bat is 6000 N

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Answer: The velocity magnitude or the velocity direction chages.

Explanation:

According to Newton's second law of motion, the acceleration of a system moved in same direction and is also directly proportional to the external force which acts on it while inversely proportional to the mass. The formula is: a = F/m

Based on the question, since the object obtains acceleration, then it can be infered that there will be changes in the velocity magnitude or the direction as a result of the motion.

Answer:

it is double the temperature change of iron

Answer:

The chemical formula for the molecule is \(C_4H_9O_2\)

Explanation :

Molecular formula : It is the chemical formula which depicts the actual number of atoms of each element present in the compound.  

Structural formula : It is a formula in which the lines are used between the bonded atoms and the atoms are also shown in the structural formula.

In the structural formula, the lines are used between the atoms.

As per given information of compound we conclude that, there are 4 carbon atoms, 9 hydrogen atoms and 2 oxygen atoms.

Thus, the chemical formula for the given molecule will be,  \(C_4H_9O_2\)

Answer:

B is the answer

Explanation:

Answer:

The particles bump into each other, moving back and forth but after it passes they remain where they were initially

Explanation:

Some important formulas about sound wave

\(\\ \sf\longmapsto Frequency=\dfrac{1}{Time\: period}\)

\(\\ \sf\longmapsto\lambda=\dfrac{c}{v}\)

As a sound wave travels through a medium, the particles in the medium it travels bump into each other, moving back and forth but after it passes they remain where they were initially.

A sound wave can be defined as a mechanical wave that requires a medium for its propagation and it creates a disturbance in the medium. Also, the energy of a sound wave is transported in a perpendicular direction.

This ultimately implies that, a sound wave creates a disturbance when it travels through a medium.

Consequently, this disturbance causes the particles in the medium it travels through, to bump into each other, moving back and forth but after it passes they remain at the position and state where they were initially.

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Answer:

Incomplete question but the closest ans is

A) The displacement is not zero

Explanation:

For work to be done, the direction of force has to be parallel to or in the same direction as the displacement, this can then be calculated by

\(W=Fs \ cos\)θ

Where θ is the angle between direction of force and direction of displacement

By this equation,

if Force is zero, W is zero

if displacement is zero, W is zero

if force and displacement are perpendicular θ=90, cosθ = 0

So A is the cloest choices

Answer:

Explanation:

From the graph, acceleration is zero if a distance of 130 m is overcome. The maximum speed at a height from the ground equal to 200 m - 130 m = 70 m. Further, the apple falls evenly!

According to the graph, if a distance of 130 m is overcome, acceleration is zero. The maximum speed at a height of 200 m - 130 m = 70 m from the ground. In addition, the apple falls evenly.

Terminal velocity is the constant maximum velocity reached by an object falling through a fluid (such as air) when the force of gravity pulling the object downward is balanced by the opposing force of air resistance. Initially, as an object falls, its velocity increases due to the acceleration from gravity. However, as the object accelerates, the air resistance acting upon it also increases. Eventually, a point is reached where the air resistance becomes equal to the force of gravity, resulting in zero net force and a constant velocity. This constant velocity is the terminal velocity.

The graph of acceleration plotted against the height fallen provides information about the changing acceleration of the falling apple as it travels down the building. To determine the height at which terminal velocity is reached, you would need to look for the point on the graph where the acceleration levels off or approaches zero. This indicates that the net force acting on the apple is becoming negligible, implying that terminal velocity has been reached.

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The Falcon 9 rocket is so important in today's space exploration world because It's a reusable rocket and has saved money by being reused over 60 times already.

option D.

The Falcon 9 rocket, is developed by SpaceX, and it holds  a significant importance in today's space exploration world due to several key features and achievements, and some of the importance include the following;

From the given options, we can conclude that the Falcon 9 rocket is so important in today's space exploration world because It's a reusable rocket and has saved money by being reused over 60 times already.

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The length of the rope Leo needs to purchase will be 45.3125 ft.

Surface area is calculated for common forms such as circles, triangles, parallelograms, rectangles, trapezoids, and so on.

When a form that isn't a standard figure appears, we slice it into standard shapes to get its area. The area of those component forms is then calculated and added together.

The surface area of the prism is,35 ft²

\(\rm A_s=2\times A_b+P\times h \\\\ 35=2 \times 3 +BP \times 3.2\\\\\ 35=6+3.2 BP\\35-6=3.2BP\\\\ BP=\frac{29}{3.2} \\\\BP=9.0652\ ft\)

The length of the rope Leo needs to purchase;

L=5 ×9.0652

L=45.3125 ft

Hence,the length of the rope Leo needs to purchase will be 45.3125 ft.

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The wavelength of this wave is 1 meter (option d).

To determine the wavelength of a longitudinal wave, we need to find the distance between two consecutive compressions or rarefactions. In this case, the distance between the center of the fifth compression and the center of the ninth compression is given as 4 meters. Since there are four compressions between the fifth and ninth compression, the total distance covered by these four compressions is 4 meters. Therefore, the average distance between consecutive compressions is 4 meters divided by 4, which is 1 meter. The wavelength of a longitudinal wave is the distance between two consecutive points with the same phase, which, in this case, is the distance between consecutive compressions. It is important to note that the number of compressions or rarefactions does not directly affect the wavelength. The wavelength is determined by the distance between consecutive points with the same phase. In this case, the given information allows us to calculate the average distance between consecutive compressions, giving us the wavelength of the wave. (option d).

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Answer:

-4530 J

Explanation:

Given that

Mass of the car, m = 100 kg

Speed of the car at point A, v1 = 25 m/s

Speed at point B, v2 = 8 m/s

Radius of the track, r = 12 m and with respect to the origin of the center of the track, we say that y1 = -12 at point A and y2 = 12 at point B

We also know that

W(total) = W(grav) + W(other) = K₂ - K₁

Work done by the gravitational force, W(grav) = -U(grav) = mgy1 - mgy2

Kinetic Energy, K = ½mv²

Adding all together, we have

½mv₁² + mgy1 + W(other) = ½mv₂² + mgy2

½ * 100 * 25² + 100 * 9.8 * -12 + W = ½ * 100 * 8² + 100 * 9.8 * 12

50 * 625 + 980 * -12 + W = 50 * 64 + 980 * 12

31250 - 11760 + W = 3200 + 11760

19490 + W = 14960

W = 14960 - 19490

W = -4530 J

Videos can be streamed from the cloud to a computer with no loss in quality because Digital signals are used to transmit data to and from the cloud.

How do digital signals work?

An established or one that represents data as a step made up of discrete values is known as a digital signal. There is no noise produced by digital signals. Electronic signals sent as pulses are used to transmit digital signals to computers. These signals can be found in things like digital phones and computers.

Because digital signals are used to transport data to and from the cloud, it should be noted that videos are said to stream from the cloud to a computer without quality degradation.

Videos can be streamed from the cloud to a computer with no loss in quality because Digital signals are used to transmit data to and from the cloud.

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A cell of inter resistance of 0.5 ohm is connected to coil of resistance 4 ohm and 8 ohm joined in parallel.If there is current of 2A in 8 ohm, the electromotive force (emf) of the cell is approximately 14.5 volts.

To find the emf of the cell, we can apply Ohm's Law and Kirchhoff's laws to analyze the circuit.

Given:

Resistance of the coil, R1 = 4 ohm

Resistance of the other resistor, R2 = 8 ohm

Current passing through the 8-ohm resistor, I = 2A

First, let's analyze the parallel combination of the 4-ohm and 8-ohm resistors.

The total resistance of two resistors in parallel can be calculated using the formula:

1/Rp = 1/R1 + 1/R2

Substituting the given values, we have:

1/Rp = 1/4 + 1/8

1/Rp = 2/8 + 1/8

1/Rp = 3/8

Rp = 8/3 ohm

Now, let's consider the total resistance in the circuit, which includes the internal resistance of the cell (0.5 ohm) and the parallel combination of the resistors (8/3 ohm).

R_total = R_internal + Rp

R_total = 0.5 + 8/3

R_total = 1.833 ohm

Now, we can find the emf of the cell using Ohm's Law:

emf = I * R_total

emf = 2 * 1.833

emf ≈ 3.667 volts

Therefore, the emf of the cell is approximately 3.667 volts.

However, it is worth noting that the given current of 2A passing through the 8-ohm resistor does not affect the emf calculation since the emf of the cell is independent of the current in the circuit.

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Answer:

Explanation:

initial velocity u = 32.7 m /s

final velocity v = 50.3 m /s

displacement s = 44500 m

acceleration a = ?

v² = u² + 2 a s

50.3² = 32.7² + 2 x a x 44500

2530.09 = 1069.29 + 89000a

a .016 m /s²

time taken t = ?

v = u + at

50.3 = 32.7 + .016 t

t = 1100 s

Answer:

As opposites attract, q is pulled to Q. And that force from Q is working on q, force over distance. Which means the potential energy q started with is being converted into kinetic energy. q is accelerating and picking up speed.  

Explanation:

The minimum depth of harbor of the oil tank is 2.22 m

The given parameters:

mass of the oil tanker, m = 40,000 tonnes

length of the tanker, l = 500 m

width of the tanker, w = 40 m

To find:

minimum depth of harbor

Note: The specific gravity of oil is approximately 0.9

          The density of water (\(\rho_w\)) = 1000 kg/m³

Covert the given mass to kilogram

1 tonne = 1000 kg

40,000 tonnes = 40,000,000 kg

The density of the oil tanker is calculated as:

\(S.G = \frac{\rho_o}{\rho_w} \\\\\rho_o = S.G \times \rho_w\\\\\rho_o = 0.9 \times 1000\\\\\rho_o = 900 \ kg/m^3\)

The volume of the oil tanker is calculated as:

\(Volume = \frac{mass}{density} \\\\Volume = \frac{40,000,000}{900} \\\\Volume = 44,444.44 \ m^3\)

The minimum depth of harbor is calculated as:

\(height = \frac{volume}{Length \times width} \\\\height = \frac{44,444.44}{500\times 40} \\\\height = 2.22 \ m\)

The minimum depth of harbor of the oil tank is 2.22 m

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