A series circuit has a battery and resistor and a light bulb with a power of 3.0 W if the current in the circuit is 0.90 A over a period of 20 seconds what is the voltage across a lightbulb

Answers

Answer 1

Power = (current)² x (resistance)

Resistance = (power) / (current)²

Resistance = (3 W) / (0.9 A)²

Resistance = 3.333... ohms

That's the total resistance in the series circuit. (3 and 1/3) ohms .

Voltage = (current) x (resistance)

Voltage = (0.9 A) x (3.333... ohms)

Voltage = 30 volts

That's the total voltage ... the battery that's powering the whole series circuit.  

Using only the information given in the question, there's no way to calculate how much of the 30V appears across the resistor and how much of it appears across the light bulb.


Related Questions

Which statement is an observation from Newton’s experiments with light? White light becomes a range of colors after passing through a prism. A prism adds a range of colors to white light. Newton asked questions about the makeup of white light. A prism is a useful device for experimenting with white light.

Answers

Answer: White light becomes a range of colors after passing through a prism.

Explanation:

White light is composed by a range of colors, this was discovered by Isaac Newton when he observed that a beam of white light was refracted (the different rays of light are diverted depending on their wavelengths) when passing through a prism .

This phenomenom was later called dispersion.

An observation from Newton's experiments with light is that white light separates into a range of colors when passed through a prism, revealing that white light is composed of different colors.

The statement that is an observation from Newton's experiments with light is "White light becomes a range of colors after passing through a prism." This observation comes from a series of experiments conducted by Isaac Newton in the seventeenth century, where he demonstrated that white light is not a single pure substance but is composed of many different colors.

Newton used a prism to separate sunlight into a spectrum of colors, and then recombined them with another prism to form white light again, proving that the colors were inherent in the white light and not a creation of the prism.

If a single-load Series circuit has one 20 Ohm bulb, and a
second, identical, 20 Ohm bulb is added in parallel with
the first, what will be the effect on the brightness of the
bulbs?​

Answers

At the instant the second bulb is connected ...

... the brightness of the first bulb doesn't change

... the brightness of the second bulb changes from dark (no brightness) to equal to the first bulb

When the second 20 Ohm bulb is added in parallel, the bulbs becomes brighter

How to describe the effect

Adding a second, identical 20 Ohm bulb in parallel with the first one will have the effect of increasing the brightness of the bulbs.

In a series circuit, the total resistance increases as more resistors are added, which reduces the current flowing through the circuit. As a result, the bulbs would be dimmer in a series circuit.

However, when the second 20 Ohm bulb is added in parallel, the total resistance decreases, allowing more current to flow through the circuit. This increased current results in a higher brightness of the bulbs.

Learn about current at: https://brainly.com/question/1100341

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which of the following describes an action-reaction pair?
A. you push up on a barbell, and the barbell pushes you down.
B. The sun pulls on Earth, and Earth pulls on the moon
C. a man pushes a car forward, and the car pulls the man forward.
D. you push down on a desk, and the desk pushes down on the ground.

Answers

Answer:

A. you push up on a barbell, and the barbell pushes you down

Explanation:

As per Newton's third law of motion, every action has an equal and opposite reaction. The point of action and reactionary force are same. If you analyze the options given only first option fulfills this condition.

As you push the barbell up, that means action is being done on the barbell using your hand and barbell pushes you down which means that the reaction force is acting on the same point.

In other options the action is done on one object and the other force is not acting on the same object but some other object.

Answer:

The answer is A.

Explanation:

Which of the following equations is not balanced?
N2 + 3H2 → 2NH3

A. N2 + 3H2 → 2NH3

B. MgI2 + Br2 → MgBr2 + I2

C. KClO3 → KCl + O2

D.HCl + NaOH → NaCl + H2O

Answers

Answer:  C)  KClO3 → KCl + O2

Explanation:

the equation has an unequal amount of oxygen.

you can confirm because all the other equations are balanced so the answer is c

Answer:

[tex]KClO_{3}\rightarrow KCl+O_{2}[/tex]

(C) is correct option

Explanation:

Balanced equation :

In balanced equation, The number of atoms of each element in product side equal to the number of atoms of each element in reactant side.

The equation is not balanced in option C.

[tex]KClO_{3}\rightarrow KCl+O_{2}[/tex]

In this equation, The number of oxygen element in product side is not equal to the number of oxygen element in reactant side.

All equations are balanced.

What about a rubber band, can it change its shape? Is it a solid?

Answers

Answer:

Yes it is a solid

Explanation:

It just has unusual properties.

Does it float when you drop it? then it is not a gas.

Does it pour into any container as water does? Then it is not a liquid.

So it's a solid.

And it can change it's shape

Answer:

Yes, it is.

Explanation: Rubber band is ab elastic material which when stretched changes it's original shape.

higher-pitched sounds have ___.
0 A.) higher amplitudes
0 B.) shorter wavelengths
0 C.) mode decibels
0 D.) lower frequencies

Answers

Answer:

c

Explanation:

The answer would be c.

The decibel level of a sound having the threshold intensity of 10−12 W/m2 is β = 0 dB, because log101 = 0. That is, the threshold of hearing is 0 decibels. Table 1 gives levels in decibels and intensities in watts per meter squared for some familiar sounds.

In the equation for the gravitational force between two objects, what does G represent?

Answers

G is actually the universal gravitational constant.
6.674×10−11 m3⋅kg−1⋅s−2
This proportional to the product of the two objects masses and the inverse square of their distance.


This different from g which the local gravitational constant.

The G is represented as “Universal Gravitational constant” in the gravitational force equation acting between the two objects.

Explanation:

The force of gravitation is given by following equation, [tex] \bold{F= \frac{- G (M m)}{r^2}} [/tex]

F - Force of gravitation,

G - Universal gravitational constant,

M - Mass of [tex]1^{st}[/tex] object,

m - Mass of [tex]2^{nd}[/tex] object,

R - Distance between two objects.

The negative sign here denotes that gravitational force is experienced along the line of separation of the two objects. And it also indicates that it is an attractive force between the two.

there are more and more jobs in cybersecurity because

Answers

Answer:

it is a nation wide crisis

Explanation:

Answer:

The internet is always growing

Explanation:

A measurement standard is defined as ____.

Answers

Answer:

A measurement standard is defined as 'the exact quantity people agree to use for comparison'.

Explanation:

For the same type of quantity, there is a unit of measurement which is defined and adopted either conventionally or by law which is used as standard for measurement of that quantity.

This measurement standard is defined as 'the exact quantity people agree to use for comparison'.

For example, for length the standard unit of measurement is 'meter'.

Answer:

is an object system or experiment that bears a defined relationship to a unit of measurement of a physical quality

An object's buoyant force and weight mean the same thing.

A. True

B. False​

Answers

Answer:

False

Explanation:

No. The buoyant force on an object is the portion of its weight that appears to vanish

when the object is in any fluid (could be either a liquid or a gas).

If the object happens to float in a particular fluid, then the buoyant force at that moment

is equal to the object's weight.

Notice that the buoyant force on an object will be different in different fluids.

Answer:

false

Explanation:

Heat flows from ______ substances

Answers

Answer:

hot to cold

Explanation:

Heat will always flow from hot to cold substances.

Heat flows from "hot to cold" substances.

Explanation:

"Heat flows from hot to cold" is the statement of "Second Law of Thermodynamics".

According to this law, the heat flow is due to the collision of hot atoms collides with cold atoms transferring kinetic energy. When the heat flows from "hot to cold", external energy is not required for the flow, but when it flows from cold to hot, it needs external energy in which the spontaneity of heat flow is less.  

Which of Hubble’s discovery support the Big Bang theory

Answers

Answer:

there are no mutiple choices

Answer:

Redshift increases with distance

Explanation:

Edwin Hubble discovered a relation for distance and radial velocities of galactic nebulae from their redshifts i.e., when an object is moving away from earth the wavelength of light gets changed due to the Doppler effect.

He also found that two galaxies when further apart have a greater speed by which they are moving away from each other. This was used to prove the Big Bang theory laid down by Georges Lemaître.

What type of bond is most likely to form between two gold atoms.Ametalic bond. B non polar covalent bond. C polar covalent bond. D ionic bond

Answers

the answer is A

metallic bonds are formed between metal ions

Which data set has the smallest standard deviation?

A. 1,6,19,20,85,29,0
B. 22,22,23,23,22,22,23
C. 6, 7, 6, 7, 1004, 980, 350
D. 99, 199, 299, 55, 44,33, 22

Answers

Answer:

B. 22,22,23,23,22,22,23

Explanation:

The standard deviation is a measure of dispersion or variability of a data set. In order to determine the data set that has the smallest standard deviation, we shall investigate on the ranges of the data sets given. The range of a data set is simply the difference between the maximum and minimum values in a data set. A data set that has a smaller range also has a smaller standard deviation.

From the alternatives given, the data set given by alternative B has the smallest range and consequently the smallest standard deviation.

The maximum value is 23 while the minimum is 22. The range is 1.


QUESTION 1

What is amperage?


is the rate of doing work.


is the rate of flow of protons in electric current.


represents the amount of pressure behind electron flow.


is the rate of flow of electrons in electric current.

2 points

QUESTION 2

What is Voltage?


is the rate of doing power.


represents the amount of pressure behind electron flow.


is the rate of doing work.


is the rate of flow of electrons in electric current.

2 points

QUESTION 3

What is Power?


is the rate of flow of protons in electric current.


is the rate of flow of electrons in electric current.


is the rate of doing work.


represents the amount of pressure behind electron flow.

2 points

QUESTION 4

If we multiply volts times amps we get what?


power


circuit


work


current

2 points

QUESTION 5

What are two ways alternating currents are similiar?


In both AC and DC electrons flow in the same pattern.


In both AC and DC, the flow of electrons changes directions back and forth.


Both AC and DC are only possible in certain materials with atoms that will allow electron flow.


Both AC and DC involve the flow of electrons.

4 points

QUESTION 6

How does the flow of electrons flow in an alternating current?


The flow of electrons is always slower in an alternating current than within a direct current.


The flow of electrons is not constant and forward; it changes direction back and forth.


Electrons flow from from a higher affinity to that of a lower affinity.


Electron flow is constant and only in a forward direction.


2 points

QUESTION 7

What is the flow like in a direct current?


The flow of electrons is not constant and forward; it changes direction back and forth.


The flow of electrons is constant and only in a forward direction.


The flow of electrons go from a higher affinity to a lower affinity.


The flow of electrons are always faster in a direct current.

2 points

QUESTION 8

How is an electric current able to flow?


Electrons flow from the higher affinity to lower affinity and electrical current is generated.


Protons flow from the higher affinity to lower affinity and electrical current is generated.


The movement of protons from one atom to another leads to an electric charge.


The movement of electrons from one atom to another atom in a line results in a flow of electric current.

2 points

QUESTION 9

How do electrons move from the two different types of metal in a battery?


Protons flow from the metal with the lower affinity to the metal with higher affinity and electrical current is generated.


Electrons flow from the metal with the lower affinity to the metal with higher affinity and electrical current is generated.



Electrons flow from the metal with the higher affinity to the metal with lower affinity and electrical current is generated.


Protons flow from the metal with the higher affinity to the metal with lower affinity and electrical current is generated.

Answers

strength of electric current

Answer:

Question 1 : is the rate of flow of electrons in electric current.

Question 2: represents the amount of pressure behind electron flow

Question 3: is the rate of doing work

Question 4: Power

Question 5: Both AC and DC are only possible in certain materials with atoms that will allow electron flow.

Both AC and DC involve the flow of electrons.

Question 6: The flow of electrons is not constant and forward; it changes direction back and forth.

Question 7: The flow of electrons is constant and only in a forward direction.

Question 8: The movement of electrons from one atom to another atom in a line results in a flow of electric current.

Question 9: Electrons flow from the metal with the lower affinity to the metal with higher affinity and electrical current is generated.

_heat is the amount of heat required to change the temperature of 1 gram of a substance by 1°C, and it is related to the chemical composition of the substance.

Answers

Answer:

specific heat

Explanation:

Specific heat is the amount of heat required to change the temperature of 1 gram of a substance by 1°C, and it is related to the chemical composition of the substance

john throws .4 kg ball with velocity of 18 m/s. Hits .2 kg bottle and bottle flies 25 m/s. How fast is ball traveling after hitting the bottle?

Answers

Answer:

5.5 m/s

Explanation:

Assuming the bottle is initially stationary, we can write the law of conservation of momentum as follows:

[tex]p_i = p_f\\m_b u_b = m_b v_b + m_B v_B[/tex]

where

[tex]m_b = 0.4 kg[/tex] is the mass of the ball

[tex]u_b = 18 m/s[/tex] is the initial velocity of the ball

[tex]m_B = 0.2 kg[/tex] is the mass of the bottle

[tex]v_B = 25 m/s[/tex] is the final velocity of the bottle

[tex]v_b[/tex] is the final velocity of the ball

Solving for [tex]v_b[/tex],

[tex]v_b = \frac{m_b u_b - m_B v_B}{m_b}=\frac{(0.4 kg)(18 m/s)-(0.2 kg)(25 m/s)}{0.4 kg}=5.5 m/s[/tex]

A motor with an operating resistance of 2.21 ohms is connected to a voltage source. The current in the circuit is 3.8 A and the power of the system is 32 watts. What is the voltage of the source?

Answers

Hello!

The answer is:

The voltage of the source is 8.40 Volts.

Why?

To solve the problem, we need to use the Ohm's Law equation, which states that:

[tex]Voltage(Volts)=Current(Amps)*Resistance(Ohm)[/tex]

From the statement we know that:

[tex]Resistance=2.21\Omega\\Power=32W\\Current=3.8A[/tex]

Now, substituting and calculating we have:

[tex]Voltage(Volts)=Current(Amps)*Resistance(Ohm)[/tex]

[tex]Voltage(Volts)=3.8A*2.21\Omega=8.40V[/tex]

Hence, we have that the voltage of the source is 8.40 Volts.

Have a nice day!

If an electric circuit is not grounded it is best to reach out and touch it to provide the ground A.True or B.False

Answers

The answer would be false because logic

Which property is expressed in distance units?
O
A. Period
O B. Wavelength
O C. Speed
O D. Frequency

Answers

Answer:

wavelength

Explanation:

its expressed in meters

Final answer:

The property expressed in distance units is wavelength (option B), symbolized by λ, and typically measured in meters.

Explanation:

The property that is expressed in distance units is B. wavelength. It is the distance between two corresponding points of a wave, such as the distance between the midpoints of two consecutive peaks or troughs. The symbol for wavelength is λ (lowercase Greek lambda), and the units used to describe wavelengths are typically meters (m). Frequency, denoted by ν (lowercase Greek nu), is the number of oscillations that pass a specific point in a given period of time, measured in hertz (Hz). Speed, the rate at which a wave travels through a medium, is expressed in meters per second (m/s). Period, the time it takes for one complete oscillation to occur at a fixed point, is measured in seconds (s).

could someone help and explain ​

Answers

Answer:The loudest of the two sound wave is second one

Explanation:because if shout the sound go high,then which one show you the highest the second one rigth

The second one

EXPLANATION: Amplitude and frequency can determine the energy of a wave. Both of those waves have a frequency of 3 Hertz. So we look at the amplitude the second one has a longer amplitude than the first, therefore the second is louder because the amplitude is higher.

I hope this helps

A student wears sunglasses to help her read a book more easily which wave interaction occurs as light passes from the air into the plastic lenses?

a polarization
b.refraction
c.diffraction
d. interference

Answers

b.refraction. please follow me and mark me as brainiest

Refraction is the bending of light as it passes from one medium to another, causing objects to appear shifted or distorted when viewed through lenses.

The wave interaction that occurs as light passes from the air into the plastic lenses of the sunglasses is refraction. Refraction is the bending of light as it passes from one medium to another due to the change in its speed. This bending of light is what makes objects appear shifted or distorted when viewed through lenses.

The sun is the driving force behind each of these kinds of energy except.........
a. solar energyb. nuclear energyc. hydroelectric energyd. wind energy​

Answers

The sun is the original source of solar energy, hydroelectric energy, food energy, coal energy, oil energy, and wind energy.

The sun is NOT the original source of nuclear energy. (b)​

Answer:

The answer is b. nuclear energy

Explanation:

Nuclear energy is a process through which electrical energy is generated by the disintegration of atoms from a material called uranium. The energy that uranium releases when its atoms disintegrate produces heat with which the water found in nuclear reactors is boiled to produce electricity.

the force needed to overcome static friction is usually less than that needed to overcome kinetic friction.

true or false?​

Answers

The statement is False. The force needed to overcome static friction is usually greater than that needed to overcome kinetic friction.

To understand why this is the case, let's first define static and kinetic friction. Static friction occurs when two surfaces are at rest relative to each other, while kinetic friction occurs when there is relative motion between the surfaces.

The force of friction [tex]\( F_f \)[/tex] can be calculated using the formula[tex]\( F_f = \mu \times N \)[/tex] , where [tex]\( \mu \)[/tex]  is the coefficient of friction and N is the normal force exerted perpendicular to the surfaces.

1. Static friction force [tex]\( F_{f\_static} = \mu_s \times N \)[/tex]

2. Kinetic friction force [tex]\( F_{f\_kinetic} = \mu_k \times N \)[/tex]

The coefficient of static friction [tex]\( \mu_s \)[/tex] is typically greater than the coefficient of kinetic friction [tex]\( \mu_k \), meaning \( \mu_s > \mu_k \).[/tex]

Let's assume a scenario where [tex]\( \mu_s = 0.6 \) and \( \mu_k = 0.4 \),[/tex] and the normal force [tex]\( N = 50 \)[/tex] N.

1. [tex]\( F_{f\_static} = 0.6 \times 50 = 30 \) N[/tex]

2. [tex]\( F_{f\_kinetic} = 0.4 \times 50 = 20 \) N[/tex]

In this scenario, the force needed to overcome static friction (30 N) is indeed greater than the force needed to overcome kinetic friction (20 N).

Static friction is generally higher than kinetic friction due to the microscopic irregularities and interlocking between surfaces at rest. When an object is at rest on a surface, these irregularities create a stronger bond that requires more force to break and initiate motion. Once the object starts moving (kinetic friction), the surfaces are no longer interlocked to the same degree, leading to lower frictional forces.

Therefore, the force needed to overcome static friction is usually greater than that needed to overcome kinetic friction.

Complete Question:
The force needed to overcome static friction is usually less than that needed to overcome kinetic friction. true or false?​

which symbol in the first law of thermodynamics represents the sum of the chemical and thermal energy stored in atoms and molecules?
a. Q
b.W
c.V
d.U

Answers

Answer:

U

Explanation:

The first law of thermodynamics states that:

[tex]\Delta U = Q-W[/tex]

where

U is the internal energy of the gas, which represents the sum of the chemical and thermal energy stored in the atoms and molecules of the gas

[tex]\Delta U[/tex] represents the variation of internal energy

Q is the heat absorbed by the system

W is the work done by the system

So, the sum of the chemical and thermal energy stored in atoms and molecules is represented by U, the internal energy.

Answer:

U APEX

Explanation:

A light wave travels through water (n=1.33) at an angle of 35º. What angle
does it have when it passes from the water into air (n=1.00)?
n, since
Use the equation , = sin
N2

Answers

Answer:

[tex]49.7^{\circ}[/tex]

Explanation:

We can solve the problem by using Snell's law:

[tex]n_1 sin \theta_1 = n_2 sin \theta_2[/tex]

where

n1 = 1.33 is the index of refraction of the first medium (water)

n2 = 1.00 is the index of refraction of the second medium (air)

[tex]\theta_1 = 35^{\circ}[/tex] is the angle of incidence of the wave in water

[tex]\theta_2[/tex] is the angle of refraction of the wave in air

Solving for the angle of refraction,

[tex]sin \theta_2 = \frac{n_1 sin \theta_1}{n_2}=\frac{(1.33) sin 35^{\circ}}{1.00}=0.763\\\theta_2 = sin^{-1} (0.763)=49.7^{\circ}[/tex]

Answer:

49.7

Explanation:

The chart shows Daniela’s run through her race.


What is her velocity?

1.5 m/s
2 m/s
2.5 m/s
5 m/s

Answers

Answer:

Its 2.5

Explanation:

She moves at 5 m per 2 seconds so she moves at 2.5 m per second

Final answer:

The provided data is insufficient to calculate Daniela's velocity. This is because velocity not only considers the speed but also the direction. Therefore, information on Daniela's direction during the race is necessary for an accurate calculation.

Explanation:

Unfortunately, the question does not provide sufficient information to calculate Daniela's velocity. Velocity is a measure that describes how much distance an object covers in a particular direction in a given amount of time. To calculate this, we must know not just the speed (distance/time) but also the direction of travel. Without the necessary data regarding Daniela's direction of movement during her race, we cannot provide a precise velocity value.

Learn more about Velocity here:

https://brainly.com/question/39711173

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Which is NOT true about oxygen-17 and oxygen-18?

Answers

Answer:

Their atoms have identical mass.

Explanation:

Oxygen-17 and Oxygen-18 are both isotopes of Oxygen.

Oxygen has three isotopes, Oxygen- 16, Oxygen-17 and Oxygen-18.

Oxygen- 16 has 8 protons and 8 neutrons and a mass number of 16.

Oxygen-17 has 8 protons and 9 neutrons and a mass number of 17.

Oxygen-18 has 8 protons and 10 protons and a mass number of 18.

The three isotopes therefore have the same atomic number ( the number of protons) but different mass numbers.

Does electrons have more mass than neutrons?

Answers

Answer:

No, neutrons have about the same mass as a proton, but both have more mass than electrons.

Hope this helps a bit,

Flips

What object has no momentum?
- a bird flying north
- a car parked in a garage
- a satellite orbiting Earth
-a truck with constant speed

Answers

Answer:

a car parked in a garage

Explanation:

where would a parked car go ? its not even in motion lol

The parked car because the car isn’t moving anywhere and won’t catch any speed!.
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What was one different between the knights of labor and the American federation of labor? The knights of labor admitted women and African Americans. The knights of labor was larger than the American federation of labor.The American federation of labor accepted unskilled workers. The American federation of labor had a more radical approach. How much heat is absorbed when 90.5 g of ice is heated from -11.0 C to 145.0 C?Please show work Question 1(Multiple Choice Worth 1 points)(HC)Making the Most of MucusJust the name itself will make you giggle. It's a great word that conjures visions of slime and unpleasantness. It is perhaps the most annoying part of having a cold or allergies. Mucus, however, plays a very important role in defense of our bodies and our health. In fact, it's high time mucus got a lot more respect.First, there are some amazing facts about mucus that are worthy of respect. Humans produce about a liter of mucus every day, whether they are sick or not. Bony fish and some invertebrates (snails or slugs) also have mucus cells on the outside of their body. This external mucus creates a protective coating that prevents predators' toxins from doing harm. Humans produce mucus to protect our stomachs, our lungs, and several other systems.We tend to not like mucus because it is a considered a symptom or sign that something is wrong. We usually only see it when we are sick, and so we tend to dislike it. According to Michael M. Johns, III, MD, however, "mucus is incredibly important for our bodies." Johns, an assistant professor at Emory University, calls mucus "the oil in the engine" of our bodies. Without mucus, our engines, or bodies, would freeze up and stop working properly.Furthermore, mucus is not just the nasty gunk you see when you are sick. It lines the tissues in your mouth, your nose, throat, and lungs. It also is crucial in protecting your digestive system. Mucus puts a protective coating over the surfaces of these tissues, keeping them moist. Most of the time we don't notice mucus is making our lives better. It does its job quietly, making everything run smoothly, keeping our inner tissues soft and flexible enough to fight off invaders.Occasionally, though our mucus-making membranes go into overdrive. If you eat a hot pepper, your mucus membranes in your mouth and throat start producing extra mucus to protect you. If you come into contact with pollen, you may get a runny nose and start sneezing and coughing. When these things happen, your mucus systems start making more fluids to wash away the irritating particles. Mucus also has some antibodies that increase our ability to fight off bacteria and viruses.It's hard to appreciate what is essentially slime, but we have mucus for some very good reasons. It helps to keep us healthy and lets us know when our bodies are under attack. We would be wise to respect what our bodies do to keep us safe. So the next time you find yourself reaching for a tissue, remember mucus is your friend and ally.What's in a Name?Mucus is a great word, not only because it gives name to an important bodily function, but also because it is one of those words that simultaneously makes you feel grossed-out and giggly. Other words for this powerfully important human-health tool include slime and phlegm. Slang words for mucus include boogers and snot. All of these words have the same giggle-power, simply from the combination of consonants and vowels. By the way, mucus is an old word; it's been around since the mid-1600s and has roots back to Latin (mucere, to be moldy or musty) and Greek (myxa, mucus). While you may assume that words like snot and boogers are relatively new slang terms, they are not. Snot dates to 1560 and comes from an Old English word, gesnot, and has the same root as the word snout. 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