a figure skater can increase her spin rotation rate from an initial spin rotation rate from an initial rate of 1.0 rev every 1.5 seconds, to a final rate of 2.5 rev/s. if her initial moment of inertia was 4.6 kgm2, what is her final moment of inertia?

Answers

Answer 1

The final moment of inertia of the figure skater is approximately 1.23 kgm².

What is the Moment ?

Moment is a concept that refers to a single point in time at which an event or decision must be made. It is often used to describe a critical moment of opportunity or a crucial decision that needs to be made. It can also refer to a specific moment of clarity, when a person suddenly has a realization or an epiphany. The Moment can also refer to a feeling or emotion that can be experienced at a particular time and place. It can be a feeling of joy, love, peace, or sorrow. Whatever the feeling is, it can be a powerful experience that can leave a lasting impression.

We can use the conservation of angular momentum to relate the initial and final moment of inertia of the figure skater:

I_i ω_i = I_f ω_f

where I_i is the initial moment of inertia, ω_i is the initial angular velocity, I_f is the final moment of inertia, and ω_f is the final angular velocity.

We are given that the initial angular velocity is 1.0 rev every 1.5 seconds, which can be converted to radians per second by multiplying by 2π/1 rev:

ω_i = (1.0 rev/1.5 s) * (2π/1 rev) ≈ 4.19 rad/s

We are also given that the final angular velocity is 2.5 rev/s, which can be converted to radians per second by multiplying by 2π/1 rev:

ω_f = 2.5 rev/s * (2π/1 rev) ≈ 15.71 rad/s

Substituting these values into the conservation of angular momentum equation and solving for I_f, we get:

I_f = I_i * (ω_i / ω_f)

I_f = 4.6 kgm² * (4.19 rad/s / 15.71 rad/s)

I_f = 1.23 kgm²

Therefore, the final moment of inertia of the figure skater is approximately 1.23 kgm².

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Related Questions

what is the gradual change in emf and internal resistance of a battery as it is used over time

Answers

The electromotive force (emf) of a battery gradually decreases while its internal resistance gradually increases over time as it is used.

How does the electromotive force and internal resistance of a battery change gradually over time as it is being used?

Over time, as a battery is used, the electromotive force (emf) and internal resistance experience gradual changes. The emf, which represents the battery's voltage when it is not connected to a load, tends to decrease as the battery undergoes repeated discharge and recharge cycles.

This reduction is primarily caused by chemical reactions within the battery that result in the depletion of active materials and changes in the electrode composition.

Simultaneously, the internal resistance of the battery tends to increase gradually. Internal resistance is the inherent resistance to the flow of current within the battery. Factors such as aging, temperature, and the accumulation of impurities can contribute to this increase.

As internal resistance rises, it leads to voltage drops within the battery during discharge, reducing the available voltage at the terminals and affecting the battery's overall performance.

These gradual changes in emf and internal resistance are natural characteristics of battery operation and are influenced by factors such as battery chemistry, usage patterns, and environmental conditions. Regular maintenance, proper charging practices, and monitoring can help mitigate these effects and prolong the battery's lifespan and performance.

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Sonya pushes his friend down the road on his new wagon. Which two terms accurately describe the net force acting on the sled?
Group of answer choices

balanced and contact

unbalanced and noncontact

balanced and noncontact force

unbalanced and contact

Answers

Answer:

unbalanced and contact

Explanation:

The two terms that bests describes the net force acting on the sled is an unbalanced and contact force.

Force is a pull or push on a body. We have two main types of forces. Contact forces acts on a body and they must be in touch with it. An example is frictional force.

Non - contact forces acts based on force field and they are not in contact with the body. An example is gravitational force.

Since the sled is sliding down the road, it is changing velocity and so, unbalanced forces are acting on it.

Therefore, the force on the wagon is an unbalanced and contact force.

What confirms that the process of seafloor spreading is occurring?

Answers

Mid ocean ridges
The mountain ranges in the middle of the oceans
Sea floor spreading
The process by which new, oceanic crust forms along a mid ocean ridge and older crust moves away from the ridge. :)

I am pushing on a box with 15 N of force, and my younger cousin is pushing the box (in the same direction as me) with 10 N of force. How much is the net force on the box?


Help

Answers

25N
:)
Hope this helps

A baseball player dives head-first into
second base and slows down while sliding on the infield dirt.
Of the forces listed, identify which act upon the player.

1.Normal
2.Gravity
3.Applied
4.Friction
5.Tension
6. Air Resistance

Answers

Answer:

Explanation:

Discussion

The ones that are certain are

Normal GravityFriction

If you have a normal, and the player slides into 2nd, and stops (which he must before he is tagged), then there must be friction involved. There must be gravity, or he would keep going up.

I don't think there is tension. There might be some Air Resistance, but that force is very tiny. Don't be surprised if you answer includes Air Resistance, but I won't try it to begin with.

What is a car’s acceleration if it increases its speed from 5 m/s to 20 m/s in 3 s?


10 m/s 2

15 m/s 2

5 m/s 2

–15 m/s 2

Answers

Answer:

5

Explanation:

vf = vi + at

20 = 5 + 3a

3a = 15

a = 5

how long a boy will take to run round a square field of side ,35 if he run at the rate of 9km/hr​

Answers

Answer: it will take 15 minutes

Answer:

It will take the boy 136 hours 11 minutes.

Explanation:

35 × 35 = 1225km is the area of the square.

Now find how long it will take the boy:

1225 ÷ 9 = 136.11

Which is 136 hours 11 minutes.

what is the rate of acceleration of a 2,000-kilogram truck if a force of 4,300 N is used to make it start moving forward

Answers

The acceleration is 2.1m/s².
m=2000kg
F=4200N
a=4200/2000=2.1m/s²

Suppose that the equilibrium price of a bike is $250. The government passes a law setting a maximum price of $150 for a bike. As a result of the legislation, there will be a. a greater number of mountain bikes sold than before the legislation. b. a smaller number of mountain bikes sold than before the legislation. c. the same number of mountain bikes sold than before the legislation. d. More information is needed to determine the answer.

Answers

As a result of the legislation, there will be a smaller number of mountain bikes sold than before the legislation, option B.

Legislation is the process or outcome of a legislature, parliament, or similar governing body enrolling, enacting, or promulgating laws. Before a piece of legislation becomes law, it may be referred to as a bill, but it may be referred to broadly as "legislation" while it is being considered to differentiate it from other business. Legislation can be used for many things: to regulate, authorize, prohibit, provide (financial assistance), sanction, grant, declare, or restrict It can be distinguished from a non-legislative action taken by an executive or administrative body under a legislative act's authority.

Legislation is typically proposed by a member of the legislature (such as a member of Congress or Parliament) or by the executive, and it is then debated and frequently amended before being passed. The majority of large legislatures only pass a small number of the bills proposed during a given session. The likelihood that a particular bill will be proposed is typically determined by the government's legislative priorities.

Regulation is viewed as one of the three principal elements of government, which are many times recognized under the convention of the partition of abilities. Legislators are those with the formal authority to enact legislation; a urtication of government will have the conventional ability to decipher regulation (see legal translation); The government's executive branch has the authority to

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About how long does light take to cross the milky way galaxy?.

Answers

Answer:

100,000 to 200,000 years to cross the milky way.

Explanation:

what type of friction causes bearings to not waste much energy?

Answers

Rolling friction is the type of friction that causes bearings to not waste much energy. The design of the bearing and the materials used in its construction play a critical role in reducing friction and improving efficiency. Bearings that rely on rolling friction are the most efficient because they reduce resistance to motion, resulting in a smoother operation and less energy consumption.

The type of friction that causes bearings to not waste much energy is called rolling friction or rolling resistance. Rolling friction occurs when an object, such as a bearing, rolls over a surface without sliding. It is generally lower than sliding friction because it involves less contact area and deformation between the rolling object and the surface it is rolling on.

In bearings, rolling friction is minimized by using smooth and precisely shaped rolling elements, such as balls or rollers, which make contact with the inner and outer raceways. These rolling elements reduce the surface area of contact, resulting in lower friction compared to sliding friction.

Additionally, bearings are typically designed with lubrication systems to further reduce friction. The lubricant, such as oil or grease, forms a thin film between the rolling elements and raceways, reducing friction and dissipating heat generated during operation.

By minimizing rolling friction and optimizing the design and lubrication of bearings, the energy wasted in the form of heat due to friction is significantly reduced. This is important for various applications where efficiency and energy conservation are crucial, such as in machinery, vehicles, and industrial equipment.

Conclusion: Therefore, it can be concluded that rolling friction is the type of friction that causes bearings to not waste much energy. The design of the bearing and the materials used in its construction play a critical role in reducing friction and improving efficiency. Bearings that rely on rolling friction are the most efficient because they reduce resistance to motion, resulting in a smoother operation and less energy consumption.

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The momentum of a 3000 kg truck is 6.36 x 104 kg·m/s. At what speed is the truck traveling? m/s


472

19,080

2.1

21.2

19.6

24.5

Answers

Answer:

21.2m/s

Explanation

Given data

P=6.36 x 10⁴kg·m/s.

M=3000kg

From the momentum expression

P=mv

v=p/m

Substitute

v=63600/3000

v=21.2m/s

Hence the Velocity is 21.2m/s

The speed of the truck is 21.2 m /s

Momentum is the product of the mass of the object and the velocity of the object. Therefore,

p = mv

where

m  = mass

v = velocity

m = 3000 kg

p = 6.36 x 104 kg·m/s.

lets find the velocity

6.36 x 10⁴  = 3000 × v

v = 6.36 x 10⁴ / 3000

v = 21.2 m / s

The speed of the truck is 21.2 m /s

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Which of the following is an example of acceleration?

A boat sits on a boat trailer.
A boat sits on a boat trailer.

A car moves in a straight line at 60 km/hr.
A car moves in a straight line at 60 km/hr.

A plane moves in air at a steady speed of 850 km/hr.
A plane moves in air at a steady speed of 850 km/hr.

A bus moves on a straight road and then makes a right turn.
A bus moves on a straight road and then makes a right turn.

Answers

Answer:

i would say a bus because it has to speed up after the turn

Answer:

The bus

Explanation:

when the bus turns it has a change in direction and since velocity is a vector based on speed and direction the velocity is considered changed and since acceleration is a change in velocity the bus is an example of acceleration

A 0. 15 kg baseball has a momentum of 0. 78 kg*m/s just before it lands on the ground. What was the ball's speed just before landing?

Answers

The ball was moving at 5.2 m/s before something dropped (also known as its velocity because it has a course of action in a given time).

Considering the data provided,

The baseball weighs 0.15 kg in terms of bulk.

A baseball has a momentum of 0.78 kilogram per second.

The momentum of an item is often exactly related to its mass and speed for something like an object travelling in such a given direction during a given period of time.

∴ Mass times speed is how you calculate momentum.

mass/momentum formula for calculating velocity

speed = 0.78 kgm/s 0.15 kg

speed = 5.2 m/s

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Can someone help me with this please
what is most likey the effect of the forces being applied to the rope

a. the rope will not move
b.the rope will move to the right
c.the rope will move to the left
d.the rope will move up

Can someone help me with this please what is most likey the effect of the forces being applied to the

Answers

Answer:

Your answer would be A.

Explanation:

A. the rope will not move

What is the energy density in the magnetic field 25 cm from a long straight wire carrying a current of 12 A?

Answers

To calculate the energy density in the magnetic field near a long straight wire, we can use the formula: u = (B^2) / (2μ₀)

B = (μ₀ * I) / (2πr)

B = (μ₀ * 12 A) / (2π * 0.25 m)

u = ((μ₀ * 12 A) / (2π * 0.25 m))^2 / (2μ₀)

where u is the energy density, B is the magnetic field strength, and μ₀ is the permeability of free space.

Given that the current in the wire is 12 A, we can use Ampere's law to find the magnetic field at a distance of 25 cm from the wire. For a long straight wire, the magnetic field at a distance r from the wire is given by:

B = (μ₀ * I) / (2πr)

where I is the current in the wire and r is the distance from the wire.

Substituting the values into the formula, we have:

B = (μ₀ * 12 A) / (2π * 0.25 m)

Next, we can calculate the energy density using the formula:

u = (B^2) / (2μ₀)

Substituting the value of B into the formula, we get:

u = ((μ₀ * 12 A) / (2π * 0.25 m))^2 / (2μ₀)

Simplifying further, we find the energy density in the magnetic field at a distance of 25 cm from the wire.

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a wooden log that weighs 1.00 kg is placed in a fireplace. once lit, it is allowed to burn until there are only traces of ash, weighing 0.04 kg, left. which best describes the flow of energy?

Answers

The potential energy of the wooden log was converted into the kinetic energy of heat and light.

Potential energy is energy that is saved or conserved in an object or substance. This saved energy is based totally on the location, association or country of the object or substance. You could consider it as energy that has the potential to do work.

An item can store energy as the result of its function. for instance, the heavy ball of a demolition machine is storing power when it is held at an accelerated function. This saved electricity of role is known as capability electricity. similarly, a drawn bow is able to keep energy as the end result of its role.

Potential energy refers to the saved electricity within an item that exists due to the item's function, kingdom, or association. It's one of the  number one types of energy the opposite is kinetic energy. The saved electricity is released when the position, kingdom, or association of the object changes.

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g 2- Suppose wave phenomena must be considered anytime circuit dimension is above 0.1. At 10 GHz, what is the size threshold above which we should consider wave phenomena in circuit analysis

Answers

The size threshold above which we should consider wave phenomena in circuit analysis at 10 GHz is 0.1 m or 10 cm.

When analyzing circuits, the consideration of wave phenomena becomes important when the circuit dimensions are comparable to the wavelength of the signals being transmitted. The wavelength is inversely proportional to the frequency of the signal, so higher frequencies have shorter wavelengths.

Given that the frequency is 10 GHz (10⁹ Hz), we can calculate the corresponding wavelength using the formula:

λ = c / f

where λ is the wavelength, c is the speed of light, and f is the frequency.

At 10 GHz, the wavelength is approximately 0.03 m or 3 cm. According to the given statement, wave phenomena must be considered when circuit dimensions exceed 0.1.

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A balloon is filled with pure carbon dioxide. which term or terms could be used to describe the contents of this balloon?

Answers

A balloon is filled with pure carbon dioxide. gaseous terms could be used to describe the contents of this balloon

At ambient temperature, carbon dioxide, which has the chemical formula CO2, is a chemical compound that consists of molecules with one carbon atom covalently doubly linked to each of two oxygen atoms. the carbon dioxide. Names. various names. Gaseous carbonic acid

Carbon dioxide (CO2) is produced by both natural (such as volcanoes, animal breath, and plant degradation) and anthropogenic sources (primarily the burning of fossils fuels like coal, oil and natural gas to generate energy).

Too much carbon dioxide in the body can result in general symptoms including headache, exhaustion, and twitching muscles. Frequently, it goes away fast on its own. But in cases of severe hypercapnia, the body is unable to return to a stable CO2 level, and the symptoms are more severe.

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A stationary, 32 kilogram ice skater catches a 0.5 kilogram snowball thrown at a speed of 45 meters per second. The collision is totally inelastic. How fast, in meters per second, does the skater (and snowball) move afterward? Friction of the skater on the ice is negligible.

Answers

Answer:

V = 0.69 m/s

Explanation:

Given that,

The mass of a ice skater, m₁ = 32 kg

The initial speed of the ice skater, u₁ = 0

Mass of a snowball, m₂ = 0.5 kg

The initial speed of a snowball, u₂ = 45 m/s

eIt is mentioned that the collision is totally inelastic. Let V be the common speed of skater and the ball. So, using the law of conservation of momentum.

\(m_1u_1+m_2u_2=(m_1+m_2)V\\\\V=\dfrac{m_1u_1+m_2u_2}{m_1+m_2}\\\\V=\dfrac{32\times 0+0.5\times 45}{32+0.5}\\\\V=0.69\ m/s\)

So, the common speed is equal to 0.69 m/s.

As an object fall in a gravitational field, its speed increases. This is an example of potential energy transforming into what?

Answers

Answer:

potential energy is transformed into kinetic energy

a 55 kg man runs at a speed of 4 m/s. find his kinetic energy

Answers

Answer:

EK = 440 Joule

Explanation:

Known:

m = 55 kg

v = 4 m/s

Ek = ?

Equation to solve this is:

Ek = 1/2 m \(v^{2}\)

Ek = 1/2 . (55) . \((4)^{2}\)

Ek = 440 J

describe relative motion with an examples​

Answers

Answer:

The measurement of an object's motion with respect to any other object that is moving or stationary is called Relative Motion.

What will the north poles of two bar magnets do when brought together?

Answers

Answer:

They will repel each other since they have the same charge specifically negative

Explanation:

Answer:

The magnets will repel in other words they will pull away

Explanation:

In magnets like poles repel each other and unlike poles attract each other. So when placing the north pole of two magnets close together they will repel.

When two like-poles point together, the arrows from the two magnets point in OPPOSITE directions and the field lines cannot join up

Unlike-poles attract: When a north pole and south pole point together, the arrows point in the SAME direction so the field lines can join up and the magnets pull together

i) Show that total energy of the body at points A, B and C during the fall is same. ii) Find the distance from A to B and final velocity of the ball just reach before C. mass =5 kg, total height (h)= 100m​

i) Show that total energy of the body at points A, B and C during the fall is same. ii) Find the distance

Answers

The total energy of the body at evevry point is remained same due to the law of conservation of energy. Distance from A to B and final velocity of the ball just reach before C is 44.3 m/s.

d (distance) from A to B is = √2gh

In this case given are, g = 9.8 m/s² and h = 100m,

so here d = √(2⋅9.8⋅100) = 44.3m.

Final velocity ,v = √2gh

Here given are , v is the velocity, g is the acceleration due to gravity, and h is the height. In this case,

g = 9.8 m/s² ,h = 100m,

v = √(2⋅9.8⋅100)

= 44.3 m/s (final velocity)

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and shot lasers directly forward from my eyes, the lasers would be travelling anteriorly along what plane?

Answers

If you were to shoot lasers directly forward from your eyes, the lasers would be traveling anteriorly along the sagittal plane.

The sagittal plane is one of the anatomical planes that divides the body into left and right portions. It is a vertical plane that runs from the front (anterior) to the back (posterior) of the body. When the lasers are projected forward from your eyes, they would be moving in the anterior direction, aligning with the sagittal plane.

The lasers would be parallel to the sagittal plane, allowing them to travel forward while maintaining their alignment with the body's midline, which is a characteristic of the sagittal plane.

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Which of these statements best describes how a star chart should be held while facing north?

The edge of the map labeled east should be held towards the observer.
The edge of the map labeled south should be held towards the observer.
The edge of the map labeled south should be held on the left of the observer.
The edge of the map labeled east should be held on the right of the observer.

Answers

The statements best describes how a star chart should be held while facing north is, The edge of the map labeled south should be held towards the observer.

What is star chart ?

A map or diagram of the stars and other celestial bodies in the sky is called a star chart. The locations of the stars, constellations, planets, and other celestial bodies are often displayed at a certain time and location on Earth. Star maps can be used to locate celestial bodies in the night sky, to organise astronomical observations, or to track their movements through time.

Given that,

The statements,

In between following options, best describes how a star chart should be held while facing north is,

The edge of the map labeled south should be held towards the observer

This is because when facing north, the direction labeled "south" on the map should correspond to the direction of the actual south, and thus be facing the observer.

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What is the area of space around a magnet called?

Answers

Answer:

These acts of attraction and repulsion are called “magnetism”, and the magnetic space around a magnet is called the “magnetic field”

Explanation:

a pressure of 100 microns has been reached with the vacuum pump operating. the pump is turned off and the gauge reading rises to 5,000 microns and stays there. what does this indicate?

Answers

If the pressure reading on a vacuum gauge rises from 100 microns to 5,000 microns when the vacuum pump is turned off and stays there, this may indicate that there is a leak in the vacuum system.

How vacuum pump work?

When the vacuum pump is turned on, it creates a low-pressure environment by removing gas molecules from the system, causing the pressure reading on the gauge to decrease. When the pump is turned off, the pressure in the system starts to equilibrate with the ambient pressure, causing the pressure reading on the gauge to increase.

How pressure is read?

If the pressure reading on the gauge continues to rise and stabilize at a higher value than the initial pressure after the pump is turned off, it suggests that there is a leak in the vacuum system that is allowing air or other gases to enter. The leak could be at any point in the vacuum system, such as a damaged O-ring, a loose fitting, or a crack in the system.

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characteristics of radiation from the sun's energy would be

A. heat from a distance source, elcetromagnatic waves and energy that travels through space.
B. Direct contact of the energy source of sufaces
C. Movement of heat through fluids
WHICH ONE IS THE ANSWER HELPPP

Answers

Answer:

Answer is A

Explanation:

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