Final answer:
A bucket of water stays contained when whirled in a vertical circle due to the centripetal force, which must exceed gravity's pull. Fluid dynamics, explained by Bernoulli's Equation, also dictates that water will squirt further from a hose when the opening is partially covered, water streams widen when shot upwards from a fountain, and narrow when falling downward from a faucet.
Explanation:
A bucket of water can be whirled in a vertical circle without the water spilling out because of the phenomenon known as centripetal force. At the top of the circle, even though the bucket is upside down, the water stays in the bucket due to the inward force that is directed towards the center of the circle. This force keeps the water pressed against the bottom of the bucket. The key factor here is maintaining a speed that is high enough so that the centripetal force exceeds the force of gravity acting on the water. If the speed is too slow, gravity will overcome this force and the water will spill out.
Bernoulli's Equation can help further understand similar phenomena involving fluid dynamics. For instance, covering the end of a garden hose with a thumb causes the water to squirt out at a greater distance due to the increased water velocity as a result of the reduced cross-sectional area. Similarly, when water is shot nearly vertically upward in a decorative fountain, it broadens as it rises due to decreased velocity and increased pressure. Conversely, a stream of water falling straight down narrows due to the increase in velocity and decrease in pressure as it falls.
The water does not spill out of the bucket when it is whirled in a vertical circle, including at the top of the circle when the bucket is upside down, due to the centripetal force that keeps the water adhered to the bottom of the bucket.
When a bucket of water is whirled in a vertical circle, several forces come into play. The key force that prevents the water from spilling out is the centripetal force. This force is directed towards the center of the circular path that the bucket follows.
At the top of the circle, when the bucket is upside down, gravity is acting in the opposite direction to the centripetal force. However, if the bucket is whirled fast enough, the centripetal acceleration \( a_c \) required to keep the water moving in a circle can exceed the acceleration due to gravity \( g \). This can be expressed by the equation:
[tex]\[ a_c = \frac{v^2}{r} \][/tex]
For the water to remain in the bucket at the top of the circle, the following condition must be met:
[tex]\[ \frac{v^2}{r} \geq g \][/tex]
This means that the centripetal acceleration must be greater than or equal to the acceleration due to gravity for the water to stay in the bucket. When this condition is satisfied, the water is pressed against the bottom of the bucket (which is now above it) with a force that is equal to or greater than the force of gravity pulling down on the water.
Additionally, the surface tension of the water and the adhesive forces between the water and the bucket can also help to keep the water from spilling out. These forces create a sort of film that can hold the water together and to the bucket, especially if the bucket is whirled quickly enough.
Therefore, as long as the bucket is whirled with sufficient speed to generate a centripetal force that counteracts gravity, the water will not spill out, even when the bucket is upside down at the top of the vertical circle."
How to calculate the gain in Kinetic Energy?
How much does a gold bar weigh and how much is it worth?
The weight of a standard gold bar is approximately 12.4 kilograms with a market value of around $744,000, based on a gold price of $60,000 per kilogram. The density of gold is critical for determining its authenticity, distinct from similar materials like tungsten.
The weight of a gold bar and its worth can vary significantly depending on the size of the bar and the current market value of gold. Generally, gold bars can come in different sizes, but a standard bar, also known as a gold ingot, is approximately 400 troy ounces or about 12.4 kilograms. Based on the density of gold, which is 19.30 g/cm3, a standard gold bar would have a volume of approximately 643.15 cm3 (since 12400 g / 19.3 g/cm3).
If we consider the approximate market value of gold, which is about $60,000 per kilogram, a standard 400 troy ounce gold bar would be worth around $744,000. However, the price of gold fluctuates constantly due to market conditions. It's also worth mentioning that the density of gold is a critical factor in determining its authenticity; fraudsters have been known to sell gold-plated tungsten ingots as pure gold because of tungsten's similar density to gold.
Karen massed an object 3 times using the same equal arm balance and gram massed. Her results were 18.324 g 18.308 g and 18.342 g. How could she best report the mass of the object
The atomic mass of an element is
A.The average mass of all the isotopes of the element
B. A measure of the density of that element
C.The mass of the most common isotope of that element
D.The number of protons and electrons in the atoms of the element
What pressure will 14.0 g of co exert in a 3.5 l container at 75°c?
Answer:
P = 4.0794 atm or 413,345.2 Pa
Explanation:
Given
Mass m = 14.0 g
Volume 3.5 L
Temperature T = 75° C = 75 + 273 = 348 K
Known Values
Molar mass of CO = 28 g/mol
Universal gas constant R = [tex]0.082057 L.atm/mol.K[/tex]
Solution
Number of moles in 14 g of CO is
[tex]\\n=\frac{mass}{molar.mass} \\\\n = \frac{14}{28} \\\\n = 0.5 mole[/tex]
[tex]PV = nRT\\\\P = \frac{nRT}{V} \\\\P = \frac{0.5 \times 0.082057 \times 348}{3.5} \\\\P = 4.0794 atm\\\\P = 4.0794 \times 101325\\\\P = 413,345.2 Pa[/tex]
What is the potential engery of a 150 kg diver standing on a diving board that is 10m high?
Answer:
anime
Explanation:
anime=LIFE
What are three problems that can result from poor soil management? Erosion Nutrient depletion Development Desertification
Erosion, Nutrient Depletion and Desertification are the three problems that can result from poor soil management.
Poor soil management is damages environment and is a threat to our food supply. It results in erosion, nutrient depletion, desertification which makes the soil less fertile and unproductive and thus affects our food supply.
If there was an sudden change in exchange rates that resulted in fewer U.S. Dollars being required to buy a Euro, you could expect
Answer:
The correct answer is "the dollar to appreciate when compared to the Euro".
Explanation:
If fewer US dollars are required to buy one euro, this means that the value of the euro concerning this currency would fall. Therefore the dollar appreciates against the euro. This way you can buy more euros with the same amount of dollars you had before.
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Given the distance between the crest of one wave and the crest of the next wave, you can determine the wavelength. amplitude. frequency. equilibrium.
Answer:
Wavelength
Explanation:
The distance between the crest of one wave and the crest of the next wave is called wavelength of a wave. It is denoted by lambda λ. The maximum displacement of the particle of a wave is called amplitude of wave. The topmost value of displacement of the wave is called crest of a wave while the lowermost value of displacement of the wave is called trough of the wave.
Hence, by finding the distance between the crest of one wave and the crest of the next wave, we can determine the wavelength of a wave.
f your muscles are not getting enough oxygen during exercise, they will stop moving.
True
False
Answer:
FALSE
Explanation:
The lesson says-
"At first, the body can't change quickly enough to give the muscles the amount of oxygen they need. This situation produces an oxygen deficit in the muscles. During this oxygen deficit, the muscles don't have the necessary amount of oxygen they need in order to produce enough energy to keep moving. Instead of the muscles just stopping, however, the body has a second system that kicks in during emergencies."
When Jacob bats a baseball with a net force of 4.719 N, it accelerates 33 m/s2. What is the mass of the baseball?
Answer:
0.143
Explanation:
m = F/a
= (4.719 N)/(33 m/s²)
= 0.143 kg
Answers n = 2 energy level to the n = 4 energy level has a __________ wavelength than the photon absorbed by an electron moving from the n = 2 to the n = 3 energy level.
The Bohr Atom wavelength is shorter when an electron moves from the n = 2 to the n = 3 energy level than when it moves from the n = 2 to the n = 4 energy level.
What is electron ?The electron is a subatomic particle with an electric charge that is one elementary volt negative. The first generation lepton particle, the electron, is usually regarded as an elementary particle because it has no components or substructure.An electron is a negatively charged subatomic particle that can exist either free or bonded to an atom (not bound). Protons, neutrons, and the electron that is attached to an atom are the three main types of particles that make up an atom. The atom is made up of the subatomic particles electron, proton, and neutron. The atom is made up of a core nucleus that has neutrons and protons in it. The nucleus is surrounded by electrons. Neutrons are neutral, protons are positively charged, and electrons are negatively charged.To learn more about electron refer to:
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You and a friend stand on a snow-covered roof. you both throw snowballs from an elevation of 15 m with the same initial speed of 13 m/s, but in different directions. you throw your snowball downward, at 40° below the horizontal; your friend throws her snowball upward, at 40° above the horizontal. what is the speed of each ball when it is 5.0 m above the ground? (neglect air resistance.)
The speed of the snowball thrown downward when it is 5.0 m above the ground is 11.82 m/s, and the speed of the snowball thrown upward when it is 5.0 m above the ground is 13.44 m/s.
Explanation:To find the speed of each snowball when it is 5.0 m above the ground, we can use the equations of motion for projectiles. For the snowball thrown downward, we can use the equation:
vf = sqrt(vi^2 + 2gh)
where vf is the final velocity, vi is the initial velocity, g is the acceleration due to gravity, and h is the vertical distance. For the snowball thrown upward, we can use the same equation with a negative value for h. Substituting the given values:
For the snowball thrown downward: vf = sqrt((13 m/s)^2 + 2*(-9.8 m/s^2)×(15 m - 5 m)) = 11.82 m/s
For the snowball thrown upward: vf = sqrt((13 m/s)^2 + 2×(-9.8 m/s^2)×(-15 m + 5 m)) = 13.44 m/s
Which type of friction prevents a pile of rocks from falling apart?
Rolling friction
Kinetic friction
Cohesive friction
Static friction
While conducting the density lab assignment the water displacement method was used. as a scientist you were dropping a solid sample(ex. rock) into a piece of lab equipment to measure the amount of water the object "displaces" when dropped into the equipment. what is this piece of lab equipment called? question 25 options: beaker scale bunsen burner graduated cylinder?
The energy transfer diagram represents the energy of a light bulb.
How much electrical energy is involved in this transformation?
60 J
80 J
100 J
120 J
Answer: 120 J
Explanation:
The law of conservation of energy states that energy cannot be created nor destroyed, but only converted into other forms.
In this problem, we have an initial amount of electrical energy, E, converted into two forms of energy: light energy (L) and heat (H). For the law of conservation of energy, we have:
[tex]E=L+H[/tex]
So, we can find the initial amount of electrical energy:
[tex]E=20 J+100 J=120 J[/tex]
Why do stars appear to move through the night sky at the rate of 15 degrees per hour?
According to a college survey, 22% of all students work full time. find the mean for the number of 3) students who work full time in samples of size 16.
Assuming that the students
worldwide are being considered, because of the extremely large population, this
can be considered as a binomial distribution. A normal distribution is used most
usually as a fair approximation of the binomial. The mean is the expectation,
therefore:
E[x] = np = (16)(0.22) = 3.52
μ = 3.52
To find the mean for the number of students who work full time in samples of size 16, multiply the sample size by the percentage of students who work full time.
Explanation:To find the mean for the number of students who work full time in samples of size 16, we can simply multiply the sample size (16) by the percentage of students who work full time (22%):
Mean = 16 * 0.22 = 3.52
Therefore, the mean number of students who work full time in samples of size 16 is 3.52.
What occurrence defines the end of the protostar phase of a star's life and the start of the main-sequence phase?
true or false kinetic energy is energy that moves matter
What is the density of a 36 g object with a volume of 15 cm3? (Density: D = ) 0.42 g/cm3 0.54 g/cm3 2.4 g/cm3 5.4 g/cm3
The density of a [tex]36 g[/tex] object with a volume of [tex]15 cm^{3}[/tex] is [tex]2.4 g/cm^{3}[/tex].
What is the density?Density of substance is defined as its mass per unit volume. Density gives information about how tightly the substance is packed together. The formula for density is
[tex]\rho = \frac{m}{V}[/tex]
Where,
[tex]\rho =[/tex]density
[tex]m =[/tex]mass
[tex]V =[/tex]volume
Unit of density is grams per cubic centimetre.
What are uses of density?One of the most common uses of density is in how different materials interact when mixed together.
Wood floats on water because it has a lower density than water, while an anchor sinks as the metal has high density.Balloons filled with helium gas float because the density of the helium is low than the density of air.Given
[tex]m = 36 g[/tex]
[tex]V = 15 cm^3[/tex]
The density of substance is
[tex]\rho = \frac{m}{V}\\\rho = \frac{36}{15}\\\rho = 2.4 g/cm^3[/tex]
Hence, The density of a substance is [tex]2.4 g/cm^3[/tex].
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What does the slope of a line on a graph of motion refer to?
The energy of a photon of light emitted by an electron equals the
To solve this we must be knowing each and every concept related to photon. Therefore, the energy of a photon of light emitted by an electron is equal to Energy difference between two levels.
What is photon?A photon is indeed an elementary particles which is a quantum of a electromagnetic field, comprising electromagnetic radiations like as light but also radio waves, and the electromagnetic force's force carrier.
Electrons are negative charges subatomic particles that spin in their separate sub orbitals outside the nucleus. Every electron is characterized by it's own energy level and is electrostatically attracted to the nucleus.
Therefore, the energy of a photon of light emitted by an electron is equal to Energy difference between two levels.
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a net force of magnitude 36N gives an object of mass m1 an acceleration of 6.0m/s2. The same net force gives m1 and another object of mass m2 fastened together an acceleration of 2.0m/s2. What acceleration will m2 experience if the same net force acts on it alone?
Which question about dogs could be answered through scientific investigation?
How loving a pet is an Irish terrier?
How fast does an Australian terrier grow?
Which type of dog gets along the best with cats?
Which breed of dog is the cutest to children?
The question 'How fast does an Australian terrier grow?' could be answered through scientific investigation. This requires data collection and analysis about dog growth rates. Other questions are subjective and lack the objective criteria necessary for scientific studies.
Explanation:Out of the questions listed, the one that could be answered through scientific investigation is: 'How fast does an Australian terrier grow?' This question involves research and data collection on the growth rates of dogs, specifically Australian terriers. Scientists and veterinarians could conduct studies, measuring the size of these dogs at regular intervals and calculating average growth rates. Information can be analyzed statistically to derive at an answer.
Questions pertaining to dogs' affection, compatibility with cats, or attractiveness to children might not fulfil the objective criteria needed for a scientific investigation. These largely depend on subjective assessments and personal experiences, which could vary greatly among individuals.
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A car increases its speed from 9.6 meters per second to 11.2 meters per second in 4.0 seconds. the average acceleration of the car during this 4.0-second interval is answer
Avg Acceleration is
[tex]\rm 0.4\;m/sec^2[/tex]
Step by Step Solution :
Given :
Final Speed, v = 11.2 m/sec
Initial Speed, u = 9.6 m/sec
Time, t = 4 sec
Calculation :
We know that,
[tex]\rm Avg\;Acceleration = \dfrac{v - u }{t}[/tex]
[tex]\rm Avg \; Acceleration = \dfrac{11.2-9.6}{4}[/tex]
[tex]\rm Avg\;Acceleration =\dfrac{1.6}{4}=0.4 \;m/sec^2[/tex]
Therefore avg acceleration is
[tex]\rm 0.4\;m/sec^2[/tex]
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Which of the following would most likely happen if water did not form hydrogen bonds?
A. Water would exist only as a solid
B. Water would be able to dissolve all ionic compounds
C. Water would not expand when it freezes
D. Water would not exist on earth
Hydrogen bonds in water lead to the expansion of ice, allowing it to float and serve as insulation in bodies of water.
Hydrogen bonds are crucial in water's unique properties: When water freezes, it expands due to hydrogen bonding, creating a less dense solid form compared to its liquid state. This expansion allows ice to float on water, insulating the liquid below and allowing life to exist.
What decimal power does the abbreviation p represent?
You are discussing a material that has a strong resistance to the flow of electrons. This is a description of a(n)
conductor.
semi–insulator.
insulator.
semi–conductor.
The density of uranium is 18.8 g/cm3 . part a what is this value in kilograms per cubic meter?
Final answer:
To convert the density of uranium from g/cm³ to kg/m³, multiply the density by the factors to convert grams to kilograms and then cubic centimeters to cubic meters, resulting in a density of 18,800 kg/m³.
Explanation:
To convert the density of uranium from grams per cubic centimeter (g/cm³) to kilograms per cubic meter (kg/m³), we will use the conversion factors of 1 kg being equal to 1000 grams and 1 m³ being equal to 1,000,000 cm³. The density of uranium given is 18.8 g/cm³.
Step 1: Convert grams to kilograms.
1 g = 0.001 kgMultiply the density value by the conversion factor to change grams to kilograms:
Density in kg/cm³ = 18.8 g/cm³ * 0.001 kg/g.
So, Density in kg/cm³ = 0.0188 kg/cm³.
Step 2: Convert cubic centimeters to cubic meters.
1 cm³ = 1/1,000,000 m³Now, multiply the density in kg/cm³ by the conversion factor to change cubic centimeters to cubic meters:
Density in kg/m³ = 0.0188 kg/cm³ * 1,000,000 cm³/m³.
So, Density in kg/m³ = 18,800 kg/m³.