The formula that shows the relationship between the surface area (S) and volume (V) for spheres is S = 4πr² and V = (4/3)πr³ where r is the radius of the sphere.
This formula shows that the surface area of a sphere is directly proportional to the radius squared, and the volume is directly proportional to the radius cubed. This means that as the radius of a sphere increases, the surface area and volume will increase at a much faster rate. For example, a sphere with a radius of 2 will have four times the surface area and eight times the volume of a sphere with a radius of 1.
The question is incomplete, hence the answer is general.
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A single conservative force acting on a particle within a system varies as F=(−Ax+bx2)i^, where A and B are constants, F is in newtons, and x is in meters. (a) Calculate the potential energy function U(x) associated with this force for the system, taking U=0 at x=0. Find (b) the change in potential energy and (c) the change in kinetic energy of the system as the particle moves from x=2.00m to x=3.00m.
(a) The potential energy of the system to the conservative force acting on the particle, with Ui=0:
(b) From (a), U(2.00m)=2A–2.67B, and U(3.00m)=4.5A–9B.
ΔU=(4.5A−9B)−(2A−2.67B)=2.5A−6.33B
(c) For the entire system of which this particle is a member, this work is internal work and equal to the negative of the change in potential energy of the system: ΔK=−ΔU=−2.5A+6.33B.
Define kinetic energy?The ability of kinetic energy to perform work is arguably its most significant quality. Work is defined as a force operating on an object while it is moving. Energy and work are equivalent because of their tight relationship.It is described as the effort required to move a mass-based body from rest to the indicated velocity. The body holds onto the kinetic energy it acquired during its acceleration, unless its speed changes.Thermal energy is also known as heat energy. The power behind motion is known as kinetic energy. Thermal energy is a type of kinetic energy because it is generated by moving particles.To learn more about kinetic energy refer to:
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Why the ball accelerates at a constant rate as it moves down the slope?
The ball accelerates at a constant rate as it moves down the slope because of the constant gravitational force acting on it in a major portion and the rolling tangential force on the object is acting in the smaller form.
Rolling motion of any object occurs when the object starts sliding in a different methods from the other objects such as when the objects starts to roll from the ramp or any other sloppy surface and it rolls down due to the gravitational force and with many other forces such as the rolling tangential force. many forces are acting on the object at the same moment and we are just seeing the gravitational force which is playing a major portion. Hence by this information we can consider that the ball accelerates at a constant rate as it moves down the slope because of the constant gravitational force acting on it in a major portion and the rolling tangential force on the object is acting in the smaller form.
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The power needed to accelerate a projectile from rest to its launch speed v in a time t is 39.4 W. How much power is needed to accelerate the same projectile from rest to a launch speed of 2v in a time of
The same projectile needs the power to accelerate from rest to a launch speed of 2v at a time of 219.6 W.
Calculation-power P = work/time
= ½mv² / t
P' = ½m(2v)²/t
= 4 * ½mv² / t
= 4 * P
so
P' = 4 * 54.9W
= 219.6 W (or 220 W rounded off)
What is the projectile's acceleration at the pinnacle of its trajectory?As a result, from the moment the projectile is hurled, through its greatest point, and until it touches the earth, its acceleration is 9.81 meters per second per second, or equal to the acceleration caused by gravity.
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hi, can someone explain each paragraph or rephrase each paragraphs for my reporting sana , thanks !
X-rays Ultraviolet rays are followed immediately by X-rays. Although they have a shorter wavelength than the UV, they are more energetic.
An X-ray tube is used to create X-rays. When quickly traveling electrons strike a metal object, they are released. Wilhelm Conrad Roentgen made the X-ray discovery in 1895.
The flesh can be penetrated by long wavelength X-rays, but not the bones. They assist doctors in viewing the inside of the body through X-ray imagery. They are helpful in identifying malignancies and bone fractures.
Even metals can be penetrated by short wavelength X-rays. They are applied in industry to check for flaws in welded joints.
All X-rays pose a risk because they have the potential to harm the body's healthy, functioning cells.
This is why exposure to X-rays on a regular basis should be avoided. Body tissues can be harmed by excessive X-ray exposure, which can also lead to cancer.
How are X-Rays created?To create images of the body, its organs, and other internal structures for diagnostic purposes, X-rays use external radiation. A "negative" type image is created when X-rays penetrate human structures and land on specially treated plates (similar to camera film) or digital media (the more solid a structure is, the whiter it appears on the film).
Different bodily components permit various amounts of the X-ray beams to pass through when the body is exposed to X-rays. The majority of the X-ray energy can pass through soft tissues in the body, including blood, skin, fat, and muscle, making them look dark gray on film or digital media. Few X-rays can penetrate dense soft tissue like a bone or a tumor.
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30kg Michaela is swinging on a swing. Her total mechanical energy is 600 J. At what height will she be when she has a velocity of 2 m/s?
Please show all work!
40 points!!
Answer:
1.84 m
Explanation:
ME = KE + PE = 1/2mv² + mgh
600 J = 1/2(30 kg)(2 m/s)² + (30 kg)(9.8 m/s²)h
Solve for h:
600 J = 60 J + (294 kg·m/s²)h
h = 540J/294kg·m/s² = 1.84 m
Select the correct answer. a heat engine has a cold reservoir of 250 k and a hot reservoir of 715 k. what is the maximum efficiency of the engine?
a. 65.0%
b. 60.8%
c. 73.6%
d. 58.6%
e. 69.1%
The maximum efficiency of the engine is a. 65.0%
The maximum efficiency of the heat engine is given by the Carnot efficiency, which is defined as:
Efficiency = (1 - (T cold / T hot)) * 100%
Where T cold is the temperature of the cold reservoir and T hot is the temperature of the hot reservoir.
Plugging in the given temperatures, we get:
Efficiency = (1 - (250 / 715)) * 100% = 65.0%.
So the answer is a. 65.0%.
So, using the temperatures given in the question:
Efficiency = 1 - (250 K/ 715 K) = 1 - 0.349 = 0.651 or 65.1%
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if 15.0 g of water vapour at 135°C cools to 100°C, condenses to liquid water, and then cools to 90°, how much energy is released to the environment?
The heat that is evolved by the environment is 36.42 kJ.
What is the heat that is involved?We know that heat is a form of energy that can be known for the fact that it could lead to a change in the temperature of the object. We have to note that the energy that is released is a sum total of all the process that are involved here.
We know that;
H = (15 * 4.18 * (135 - 100)) + (15 * 2240) + (15 * 4.18 * (100 - 90))
H = 2194.5 + 33600 + 627
H = 36.42 kJ
The total heat that has been evolved would now be 36.42 kJ.
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somebody helps me pls T_T
Answer:
Gravity increase:
mass increases
distance decrease
gravity decrease:
mass decrease
distance increase
hope this helps
have a good day :)
Explanation:
The electron microscope has been widely used to obtain highly magnified images of biological and other types of materials. When an electron is accelerated through a particular potential field, it attains a speed of 9.47 * 106 m>s. What is the characteristic wavelength of this electron
wavelength run at 9.47 * 106 m/s. E=hf = 12mv2 = h/mv = 6.63x10-34"/ [(9.1094x10-31)(9.82x106)] when an electron moves through a specific potential field more quickly.
What are the purposes of electron microscopes?9.47 * 106 m/s speed. What is this electron microscopy's (EM) signature wavelength? EM is a method for acquiring high-resolution pictures of both biological and non-biological materials. It is employed in biomedical to look at the precise structure of organelles, macromolecular complexes, tissues, cells, and cells.
Do electron microscopes have greater power?This increases the power of electron microscopes over light microscopes. A light microscope can factor model up to 2000 times, but depending on the model you choose, an electron microscope may magnify anything from 1 and 50 million times! Look at the outcomes to see.
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How much work is needed to overcome friction in a machine
depends on the machine's [blank]
The force that prevents motion between any two surfaces that are contacting is called friction. Every machine has friction because it involves motion. As a result, efficiency is never 100 percent.
What proportion of the work a user inputs into a machine is actually completed by the machine?Efficiency is the proportion of user-inputted work (input work) that is converted into output work by a machine (output work). Because some of the input work is used to overcome friction, the output work is always less than the input work.
Do all devices eliminate friction?The force that would grow or decrease in the absence of friction is reflected in the ideal mechanical advantage of a machine. It is consistently larger.
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A sports car of mass m has the same kinetic energy as an SUV with a mass 3m as each is driven along the same road. Which vehicle, if either, has the largest momentum and what is the difference in their momenta, if any? Express your result as a percentage.
a. The car has about 42% greater momentum than the SUV.
b. The car has about 33% greater momentum than the SUV.
c. The SUV has about 73% greater momentum than the car.
d. Since their kinetic energies are the same, their momenta are the same. The difference is zero percent.
e. The SUV has about 66% greater momentum than the car
Option (a) is correct- The car has about 42% greater momentum than the SUV.
What is momentum ?
As a measure of an object's kinetic energy, momentum is easily defined. Simply put, momentum is the result of mass times velocity. full response Simply said, momentum is concerned with the quantity of motion. The conserved quantity is another definition for it.
What is mass?
Measurement of inertia, a fundamental characteristic of all matter. The resistance a body of matter offers to a change in its speed or location as a result of the application of a force is what it is in essence.
Therefore, Option (a) is correct- The car has about 42% greater momentum than the SUV.
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1. When conducting a test on what kind of music increases the growth of plants, all of the following would fail to meet to fair test standard EXCEPT (1 point)
using different kinds of plants.
giving some plants more water than others.
exposing the plants to different types of music.
using nutrient-rich soil for one and lesser soil for others.
2. Engineering uses scientific thinking to solve real-world problems. (1 point)
True
False
3. What does it mean to test a hypothesis? (1 point)
Pass a quiz on other scientists’ results
Analyze only the results from scientific sources
Not make assumptions about how an experiment will turn out
See if the results of an experiment are what the scientist predicted
Using a specific kind of raga played over a gramophone and loudspeakers, Singh replicated the experiment with field crops. Crop sizes grew to 25–60% over the average for the region. According to Singh, the violin's music has the biggest impact on plant development.
What interactions do nutrients have with one another in the soil?Nutrient interactions in the soil, which alter the availability of nutrients to plants, illustrate the range of interactions that may take place. High concentrations of one nutrient in the soil can conflict with the availability and absorption of other nutrients.
Which soil has the greatest concentration of nutrients?Loamy soils, which combine sand, clay, and silt particles, are thought to be the most fertile form of soil.
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Science
The diagram below illustrate the structure of the sun.
Boiling water models which layer of the the sun best
Answer:
convective
Explanation:
In a Torricelli barometer, a pressure of one atmosphere supports a 760 mm column of mercury. If the original tube containing the mercury is replaced with a tube having twice the diameter of the original, what would be the height of the mercury column at one atmosphere of pressure
After the original tube containing the mercury is replaced with a tube having twice the diameter of the original tube the height of the mercury column at one atmosphere of pressure is 760 mm.
What is the fundamental meaning of pressure?The force delivered perpendicularly to an object's surface per unit area across which this force is dispersed is known as pressure. In comparison to the surrounding pressure, gauge pressure represents the pressure. Pressure is expressed to use a multitude of units.
How is pressure measured?The formula for calculating pressures is P = F / A, or force per unit of the surface area. The Si system for measuring the pressure is the pascal, and the sign for pressure in physical science is p. (symbol: Pa).
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When a lead rider's left arm is bent at the elbow with their index finger pointing straight up, it means:
When a lead rider's left arm is bent at the elbow with their index finger pointing straight up, it means double file formation.
When riding in groups, hand signals are a crucial aspect of communication. The group should create a double-file formation when the lead rider's left arm is bent at the elbow and their index and middle fingers are pointed straight up. Wider hallways are best suited for heavy-headed formations (T-formation with a couple of individuals in front) or double-file formations because soldiers can spread out and walk shoulder to shoulder at the front of the file. When opposing doors are visible, the single file configuration is constricting and slowly moving.
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Question 8 of 25
An atom that loses or gains electrons becomes a/an:
O A. lon.
B. Electron.
C. Charged atom.
D. Proton.
AAAAAAAAAAAAAAAAAAAAAAAAAAAA
In about 6 billion years, the Sun will become a red giant. This will not be a problem for humanity because
The sun will become a red giant but it will not be a problem for humanity because the Earth will become inhabitable before that.
As per the research conducted it is said that the sun will eventually become a red giant and it engulf our planet Earth. The Earth will become extremely giant. This in turn will not become a problem for humanity, flora and fauna as the Earth will be completely inhabitable. All the forms of life will completely perish and no life form will exist. The planet will be engulfed by the red giant Sun. This is the reason it is not a problem for humanity.
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The continental plates have, throughout Earth's geologic history, formed one large supercontinent. Shown here is one of the supercontinent events that has occurred. Which evidence supports that the continental plates come together and break apart over time? Select ALL that apply.
A)
Volcanic activity tends to be higher in areas of divergent boundaries.
B)
The shape of the continental plates appear to fit together like large pieces of a puzzle.
C)
Trenches and mountain ranges beneath the ocean show a changing landscape from tectonic motion.
D)
The climate over the natural history of the Earth has cycled from warmer to colder periodically.
E)
Distribution of similar fossils from the same time period can be found geographically distributed long distances apart.
Answer: b, c, and e
explaination: because i took the test
The evidence supports that the continental plates come together and break apart over time are The shape of the continental plates appear to fit together like large pieces of a puzzle, Trenches and mountain ranges beneath the ocean show a changing landscape from tectonic motion, Distribution of similar fossils from the same time period can be found geographically distributed long distances apart.
What are continental plates ?The continental plate are less denser as they are comprised of relatively denser minerals, the plates namely the continental and the oceanic plate collides, forms a subduction zone.
continental tectonic plates have a convergent plate boundary is thicker, while the oceanic is denser, lower positioned, and less thick, the oceanic plate sink below the continental plate, in a process known as subduction.
the continental plate lifting up, resulting in the formation of mountain chains.
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Lenz's Law The magnetic flux through the loop shown in the accompanying figure varies with time according to4Pm milliwebers. What are the direction and magnitude of the current through the 5.00-Ω resistor at (a) t = 0 ; (b) =2.00e-31 sin( 120m), where Pm is '' ' ' t= 2.17×10-2 s, and (c) t=3.00 s? 5.0 Ω
At t = 0, the current through the 5.00-Ω resistor is 0 A. At t = 2.17×10-2 s, the current through the resistor is -2.2 A, flowing in the opposite direction to the arrow .
(a) At t = 0, the current through the resistor is 0 A.
(b) At t = 2.17×10-2 s, the current through the resistor is -2.2 A. The negative sign indicates that the current is flowing in the opposite direction to the arrow
(c) At t = 3.00 s, the current through the resistor is 0 A.
At t = 0, the current through the 5.00-Ω resistor is 0 A. At t = 2.17×10-2 s, the current through the resistor is -2.2 A, flowing in the opposite direction to the arrow.At t = 3.00 s, the current through the resistor is 0 A.
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in order to catch a ball, a baseball player moves his or her hand backward in the direction of the balls motion. doing this reduces the force of impact on the players hand principally because....
a.) the time of impact is decreased
b.) the time of impact is increased
c.)the velocity of the hand is reduced
d.) the momentum of impact is reduced
e.) none of the above
The right response is B: To catch a ball, a baseball player moves his or her hand backward in the direction of the ball's motion because the time of impact is increased.
By doing this, the force of impact on the player's hand is mostly reduced. The force needed to stop the ball will decrease as the amount of time it takes to reach zero motion increases. Consider a ball approaching you with 100 units of momentum. To stop the ball, a 100-unit impulse would be necessary. No matter how the impulse is generated, there must be 100 units of it. A force is an effect that can alter an object's motion in physics.
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Does mass affect change in temperature?
Mass doesn't affect change in temperature
Simply put, mass is the quantity of material that is present. As a result, since there will always be the same amount of matter present, changing the temperature has no direct impact on mass.
A substance's temperature is a gauge for determining how hot or cold it is. It serves as a gauge for typical kinetic energy. The molecules of the substance move very swiftly at high temperatures. The molecules move very slowly when the temperature is low.
A thermometer is used to measure temperature, however there are numerous other sorts of units that can represent temperature. Fahrenheit, Celsius, and Kelvin are the most widely used units. Heat and temperature are two different concepts that shouldn't be confounded. Heat, as opposed to temperature, is a type of energy and is quantified in Joules.
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Select the correct answer from each drop-down menu. steel is an alloy of . one of the main reasons steel is used more widely than iron is because it’s than iron.
Steel is an alloy of iron and carbon. One of the main reasons steel is used more widely than iron is that it’s stronger than iron.
Steel, unlike other forms of iron, is strengthened by the addition of carbon, making it more resistant to fracture. Additional components are possible or even expected. To prevent corrosion and oxidation, stainless steels typically contain an extra 11% chromium. Steel's low price and high tensile strength make it a popular material for many different types of construction, as well as for transportation, manufacturing, and defense. Cast iron is the primary component of steel. It can crystallize in either a body-centered cubic or a face-centered cubic form, depending on the temperature. Steel and cast iron are characterized by a wide variety of properties due to the interaction of iron's various allotropes with the alloying elements, most notably carbon.
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ANALOGY: Natural pressure is to artesian wells as mechanical pressure is to ___________________
Water flows naturally under pressure from an artesian well without the need for pumping.
What causes pressure in an artesian well?A well that can bring water to the surface without a pump is known as an artesian well. This happens when the aquifer's positive pressure is high enough to force the water to the surface. This positive pressure is brought on by the confinement of an artesian aquifer between impermeable rocks or clay.
Free-flowing spring water that springs from underground wells is known as artesian water. Water in artesian wells rises to the surface naturally owing to pressure, unlike conventional wells that require a pump.
When water seeps into a porous rock material, such as limestone, sand, or gravel, artesian wells are created. Simply doing this wouldn't cause water to rise. But when a thick rock layer surrounds the porous earth.
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A fisherman in a row boat notices that one wave crest passes his fishing line every 5 seconds. he estimated the distance between the crests to be 1.5 meters and estimates that the crests of the waves are 0.5 meters above the troughs.
Using the data find the frequency of the wave divide how many wave crests pass every 5 seconds
Answer:
amplitude = 0.5 m 4 2 = 0.25 m
Explanation:
8.A 1580 kg car is traveling with a speed of 150 m/s. What is the magnitude of the horizontal net force that is required to bring the car to a halt in a distance of 50.0 m
The magnitude of the horizontal net force required to bring the car to a halt in a distance of 50.0 m is 2370 N.
What is force?
Force is a quantity that describes the interaction between two objects or systems. It is a vector quantity, meaning it has both magnitude (size or strength) and direction. Forces can cause changes in an object's motion, shape, or internal energy.
The magnitude of the horizontal net force required to bring the car to a halt in a distance of 50.0 m can be calculated using the equation:
force = (mass * velocity^2) / (2 * distance)
where mass is the mass of the car, velocity is the initial velocity of the car, and distance is the distance over which the car is brought to a halt.
Plugging in the given values, we get:
force = (1580 kg * 150 m/s^2) / (2 * 50.0 m)
force = (237,000 N) / 100
force = 2370 N
Hence, the magnitude of the horizontal net force required to bring the car to a halt in a distance of 50.0 m is 2370 N.
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define visible light radiation
In fact, in the absence of air resistance, the amount of ____ energy when the ball is held motionless above the floor equals the amount of ____ energy at impact with the floor.
the following blanks are gravitational potential energy and kinetic energy
Gravitational potential energy is the energy that an object has due to its position in a gravitational field.It is given by the equation Ep = mgh, where m is the mass of the object, g is the acceleration due to gravity, and h is the height of the object above a reference point. Kinetic energy is the energy an object possesses by virtue of its motion. It is given by the equation Ek = 1/2mv^2, where m is the mass of the object and v is its velocity.
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The work W required to lift an object varies jointly with the object's mass m and the height h that the object is lifted. The work required to lift a 120-kilogram object 1.8 meters is 2116.8 joules. Find the amount of work required to lift a 150-kilogram object 1.6 meters.
The work W required to lift an object varies jointly with the object's mass m and the height h that the object is lifted. The work required to lift a 120-kilogram object 1.8 meters is 2116.8 joules is 1,372J.
What does physics mean by a work done?
In physics, the term "work" refers to the measurement of energy transfer that takes place when an item is moved over a distance by an external force, at least a portion of which is applied in the direction of the displacement.
Work done can be computed using the formula:
[tex]w=Fd[/tex]
Where:
W = work (J)
F = Force (N)
d = Distance (d)
Looking at the given, you know that you do not have a value for force, so you will have to solve for it.
[tex]F=Ma[/tex]
Where:
F = Force
m = mass
a = acceleration
Because the object is being lifted, the acceleration will rely on gravity. Acceleration due to gravity is a constant 9.8 m/s^2. Let's list our given first:
F = ?
m = 100kg
a = 9.8m/s^2
Put that into our equation and solve:
[tex]F=mA\\F=100*9.8\\F=980Kg.m/s^{2}[/tex]
Our force is then 980 N.
Now that we have force we can solve for Work. The given for work is as follows:
F= 980N
d = 1.4mPut that into our formula and solve:
[tex]W=Fd[/tex]
[tex]W=(980)*(1.4)\\W=1372[/tex]
The work done is 1,372J.
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here is the image again
Which of the following is NOT one of the four elements of emotion?
Behavioral Expression
Attention
Subjective Experience
Physiological Arousal
Answer:
Attention
Explanation:
Hello there, fellow peer! The answer to question is attention. Let's say someone is the control. The behavioral expression is an element of expression, so the control will feel emotions. Subjective Experience is when someone felt the way you feel and they are trying to help you. That is a type of emotion which can lead to empathy for you. This is also not the answer. Physiological Arousal is also not the answer because this is when you can feel what someone else is feeling and you try to give them therapy.
Using the process of elimination, our answer is therefore attention.