A child sits on a rotating merry-go-round, 2.1 m from its center. If the speed of the child is 2.2 m/s, what is the minimum coefficient of static friction between the child and the merry-go-round that will prevent the child from slipping?

The distance in which the spring is compressed is 1.065 m.

The given parameters;

Apply the principle of conservation of energy to determine the distance in which the spring is compressed.

[tex]K.E = W + U\\\\\frac{1}{2} mv^2 = \mu Fx \ + \ \frac{1}{2} kx^2\\\\\frac{1}{2}(4.2)(3.5)^2 = 0.25(4.2 \times 9.8)(x) \ + \frac{1}{2} (26)(x^2)\\\\25.725 = 10.29x \ + \ 13x^2\\\\13x^2 + 10.29x - 25.725 = 0\\\\[/tex]

solve the quadratic equation using formula method;

a = 13, b = 10.29,  c = -25.725

[tex]x = \frac{-b \ \ +/- \ \sqrt{b^2 - 4ac} }{2a} \\\\x = \frac{-(10.29) \ \ +/- \ \sqrt{(10.29)^2 \ - \ 4(13\times 25.725)} }{2(13)} \\\\x = 1.065 \ m, \ \ or \ -1.86 \ m[/tex]

choose positive distance, x = 1.065 m.

Thus, the distance in which the spring is compressed is 1.065 m.

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Answer:

3.07 kilometres per second

Answer:

When waves are closer together and there are more waves, then the wave has a higher frequency.

Explanation:

Hoped this helped.

Answer:

frequency

Explanation:

The answer is D

I took the quiz lol

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Gravitational Potential Energy of an object is calculated by formula ~

[tex] \large\boxed{\sf P = mgh}[/tex]

where,

Now, let's calculate its potential energy ~

Answer:

Potential Energy of an object is calculated by formula:

Where,

Now, let's solve the question.

Given,

Now,

We know that,

Potential Energy (P.E)=mgh

[tex] = 3500 \times 10 \times 4[/tex]

[tex] = 3500 0\times 4[/tex]

[tex] =140000 joules [/tex]

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Answer:

The anomalous expansion of water is an abnormal property of water whereby it expands instead of contracting when the temperature goes from 4°C to 0°C, and it becomes less dense. The density becomes less and less as it freezes because molecules of water normally form open crystal structures when in solid form.

Answer:

A

Explanation:

If it is loooking for a proper question, it wants to know how fast the mouse was going

Answer: The answer for this is A.

Explanation: I know this cause i'm smart and totally didn't copy the other guy just to get points

An iron nail, when it loses its magnetism, often iron behaves as a magnet when electric current flows only through the coil of insulated wire wrapped around it. There is therefore, a way to use this principle to create a motor.

If a current flows through a wire, electrical energy is said to be converted into different kinds of energy such as  heat in a heating element, etc. The electric current could also be transformed or made to create a mechanical energy, which is what happens in an electric motor.

A motor is simply known as a generator working in reverse. This can be liken to a motor when a wire is put in between the two paper clips that are connected to the battery.

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Answer:

Balloon that an ocean diver takes to a pressure of 202 k Pa will get reduced in size that is the volume of the balloon will get reduced

Explanation:

Answer:

because of the gravity of the earth

Answer:

10m South East

Answer:

B. Acidic

Explanation:

Neutral an Basic solutions wouldn't create any reaction

If during a test, a solution placed on a sheet of metal creates bubbles, we can conclude that this solution is most likely Acidic.

Acid reacts vigorously with metal, displacing hydrogen gas in the process and this process creates bubbles of gases trying to escape from the solution.

Metals do not react basic and neutral solutions.

If during a test, a solution placed on a sheet of metal creates bubbles, we can conclude that this solution is most likely Acidic.

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Answer:

480 Ohms for the calculations

Explanation:

For the calculations:

V = 120 and I = 0.25

V = IR

R = V/I

R = 120/0.25

R = 480 Ohms

For the sentences, I am so sorry, I do not have them yet!

I. The resistance which is needed to generate a current of 0.25 Ampere in the ceiling fan is 480 Ohms.

II. Since current is inversely proportional to the resistance in the electrical circuit, an increase in the current (larger currents) flowing into the electrical circuit of the ceiling fan would cause the resistance to decrease in magnitude at medium and high speeds.

Given the following data:

To calculate the resistance needed to generate that current, we would apply Ohm's law:

Ohm's law states that at constant temperature, the current flowing through an electrical circuit is directly proportional to the voltage (potential difference) applied across the two terminals of the electrical circuit and inversely proportional to the resistance in the electrical circuit.

Mathematically, Ohm's law is given by the formula;

[tex]V=IR[/tex]

Where;

Making R the subject of formula, we have:

[tex]R =\frac{V}{I}[/tex]

Substituting the given parameters into the formula, we have;

[tex]R=\frac{120}{0.25}[/tex]

Resistance, R = 480 Ohms

Since current is inversely proportional to the resistance in the electrical circuit, an increase in the current (larger currents) flowing into the electrical circuit of the ceiling fan would cause the resistance to decrease in magnitude at medium and high speeds.

In conclusion, the larger the current, the lower the resistance would be at both medium and high speeds.

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Answer:

Radio waves

Explanation:

The radio operates by the principles of radio wave.

Electromagnetic wave is a type of wave which does not require material medium for its propagation. A radio wave is an example of electromagnetic wave.

The radio operates in the principle of electromagnetic wave because it does not require material medium for its propagation and it has one of the longest frequency of electromagnetic spectrum.

Thus, we can conclude that the radio operates by the principles of radio wave.

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Answer:

Period: 1/3= 0.33 seconds.

The frequency and period of the metronome's vibration when the metronome is set at 180 is 3Hz and 0.33 s.

Frequency is the number of oscillations per second.

The time period is the reciprocal of the frequency.

Given is the metronome set at 180.

The reading of metronome = frequency in seconds = 180 / 60 = 3 Hz

The time period of the metronome's vibration T = 1/3 = 0.33 seconds.

Thus, the frequency and the time period is 3Hz and 0.33 s.

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#SPJ2

Answer:

Solution given:

work done=340J

displacement(d)=75m

force[f]=?

we have

work done =Force*displacement

340=Force*75

Force=340/75

Force=4.5N

Given,

Work done = 340 J

Distance = 75 m

Force = work done / distance

Force = 340 / 75

Force = 4.533 Newton (N)

______

RainbowSalt2222

Answer:

if not sure sorry hope someone helps u❤️

Answer:

D

Explanation:

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The work done in the given case is 0

[tex] \large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}[/tex]

For calculating the work done by an object we apply the formula, that is ~

where f represents force applied, and s represents displacement.

but here, the displacement is zero since the wall didn't move at all, Therefore If we plug it's value as 0, we get

hence,

So therefore, we can conclude that the man hasn't done any work.

Hope it helps.

Do comment if you have any query.

Answer:

Yes

Explanation:

Thus, as a plate moves over the location of a plume eruption, it carries successively older volcanoes with it. As hotspot volcanoes are transported by plate motion away from the mantle plume, hotspot volcanism ceases. Eventually the hotspot volcanoes become extinct, gradually subside, and are eroded by wave action.

Have the best day! :D

Answer:

yes

Explanation:

Thus, as a plate moves over the location of a plume eruption, it carries successively older volcanoes with it. As hotspot volcanoes are transported by plate motion away from the mantle plume, hotspot volcanism ceases. Eventually the hotspot volcanoes become extinct, gradually subside, and are eroded by wave action.

hope this helps!

Answer:

If a powerful gravitational wave passed through you body, moving from your back to your chest, what would happen to your body? Your width and height would both oscillate in such a way that you would get taller as you got narrower and shorter as you got wider.

Explanation:

The velocity of the person as seen by someone not moving (watching the train going by) will be 55 m/s South. I can therefore conclude that none of the option given is correct.

Given that a train is moving south at 50 m/s and a person is running SOUTH on the train at 5 m/s.

That means the person is running relatively to the velocity of the train. Since the train and the person are moving in the same direction, the relative velocity seen by an observer watching the train going will be the addition of both the train and the person in the direction of the train.

That is,

Relative velocity = 50 + 5

Relative velocity = 55 m/s South.

Therefore, the velocity of the person as seen by someone not moving (watching the train going by) will be 55 m/s South.

I can therefore conclude that none of the option given is correct.

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Michael is heavier

Sara weighs= 44kg

Michael= 104 pounds which is equal to 47.174kg

THUS, micheal is heavier

Hope this helped you- have a good day bro cya)

Answer:

Nuclear fission of heavy elements produces exploitable energy because the specific binding energy (binding energy per mass) of intermediate-mass nuclei with atomic numbers and atomic masses.

Explanation:

have a great day!! :)

Answer:

Thermal conduction is the transfer of internal energy by microscopic collisions of particles and movement of electrons within a body. The colliding particles, which include molecules, atoms and electrons, transfer disorganized microscopic kinetic and potential energy, when joined known as internal energy.

Explanation:

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