kinetic energy increases by a factor of 9 is the correct answer .
What is momentum ?
Momentum, the product of a particle's mass and its velocity. Momentum is a vector quantity. It has both magnitude and direction. Isaac Newton's second law of motion states that the rate of change of momentum over time is equal to the force acting on a particle. See Newton's Laws of Motion. From Newton's second law, if a particle is subject to a constant force over a period of time, the product of that force and the time interval (momentum) equals the change in momentum. Conversely, the momentum of a particle is a measure of the time it takes for a constant force to come to rest.
When speed is increased by a factor of three,
New speed v'= 3v where v is the initial speed
a) Momentum P= mv
So new momentum P'= mv'= m*3v= 3 mv= 3P
So momentum increases by a factor of three
b) Kinetic Energy KE=m(v^2)/2
New Kinetic Energy KE'= m(v'^2)/2= m((3v)^2)/2= 9 m(v^2)/2= 9 KE
Therefore kinetic energy increases by a factor of 9
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By measurement you determine that sound waves are spreading out equally in all directions from a point source and that the intensity is 0.026W/m^2 at a distance of 4.3 m from the source. (a) What is the intensity at a distance of 3.1 m from the source? (b) How much sound energy does the source emit in one hour if its power output remains constant?
a) The intensity at a distance of 3.1 m from the source is 0.00369W/m².
b) 92.8 Ws energy does the source emit in one hour if its power output remains constant.
What is distance ?
Distance is the measure of the space between two points. It can be expressed in a variety of ways, such as kilometers, miles, or even light-years. Distance is an important concept in many areas of mathematics, science, and technology, as it is used to measure the size and/or separation of objects.
a) The intensity of the sound waves at a distance of 3.1 m from the source can be determined using the inverse square law: I = I₀/d²
where I₀ is the initial intensity and d is the distance from the source.
Therefore, the intensity of the sound waves at a distance of 3.1 m from the source is: I = 0.026W/m² / (3.1 m)² = 0.00369W/m²
b) The sound energy emitted by the source in one hour can be calculated using the following equation: E = P × t
where P is the power output of the source and t is the duration of time.
Therefore, the sound energy emitted by the source in one hour is:
E = 0.026 W/m² × 3600 s = 92.8 Ws
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when [s] = 5 km, what percentage (%) of vmax has been reached?
The percentage of the ratio of Vo/ Vmax is 83%
The [s] given has 5 km
The Vmax can be found using the Michaelis-Menten equation,
Vo / Vmax = [s] / km + [s]
where Vo is the initial velocity
Vmax is the maximum velocity
The Michaelis-Menten equation can be rewritten as V = Kcat [enzyme] [S] / (Km + [S]). Kcat is equal to K2 and measures the number of substrate molecules that the enzyme "turns over" per second. The unit of Kcat is 1/sec.
Let us substitute the known values in the above equation, we get
Vo / Vmax = 5 km / km + 5km
= 5 km / 6 km
= 0.833 x 100
= 83.3 %
Therefore, the percentage of Vo/Vmax is 83.3 %
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The full question is
when [s] = 5 km, what percentage (%) of Vo/Vmax has been reached?
A two-slit experiment with red light produces a set of bright fringes. (a) Will the spacing between the fringes increase, decrease, or stay the same if the color of the light is changed to blue? (b) Choose the best explanation from among the following:
I. The spacing between the fringes will increase because blue light has a greater frequency than red light.
II. The fringe spacing decreases because blue light has a shorter wavelength than red light.
III. Only the wave property of light is important in producing the fringes, not the color of the light. Therefore the spacing stays the same
a) The spacing between the fringes will decrease if the color of the light is changed to blue.
b) II. The fringe spacing decreases because blue light has a shorter wavelength than red light.
The two-slit experiment is a fundamental experiment in wave optics that demonstrates the wave-like behavior of light. When a beam of light is shone through two small slits, it produces a diffraction pattern on a screen behind the slits. This pattern consists of a series of bright and dark fringes, which are caused by the interference of the light waves passing through the two slits.
Answer to (a) is that, if the color of the light is changed to blue, the spacing between the fringes will decrease. This is because the spacing between the fringes is inversely proportional to the wavelength of the light, and blue light has a shorter wavelength than red light.
As for the reason behind it, the best explanation is (b) II. The fringe spacing decreases because blue light has a shorter wavelength than red light. The wave property of light is important in producing the fringes, and the color of the light does play a role in the spacing of fringes, which is why the spacing decreases when the color of the light is changed to blue.
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A 2000-horsepower electric railroad locomotive gets its power from an overhead wire with 0.25 ohm/km. The potential difference between wire and track is 10 kV. Current returns through the track, whose resistance is negligible. How much current does the locomotive draw? How far from the power plant can the train go before 1% of the energy is lost in the wire?
The locomotive draws a current of 40,000 amps.The train can go 5,000 km before 1% of the energy is lost in the wire.
What is energy ?
Energy is the ability to do work. It can be used to power machines and other devices, generate electricity, or heat and light our homes. Energy is also a measure of how much work can be done in a given time. It is measured in Joules (J).
The current drawn by the locomotive is given by I = V/R.
where V is the potential difference between the wire and track and R is the resistance of the wire (in this case 0.25 ohms/km).
Therefore, the current drawn by the locomotive is
I = 10,000 V/0.25 ohms/km = 40,000 A
The distance from the power plant at which 1% of the energy is lost in the wire is given by d = R*I²/2V
where R is the resistance of the wire, I is the current drawn by the locomotive, and V is the potential difference between the wire and track. Therefore, the distance from the power plant at which 1% of the energy is lost in the wire is
d = 0.25 ohms/km * (40,000 A)²/2 * 10,000 V = 5,000 km
This means that the locomotive can travel up to 5,000 km from the power plant before 1% of the energy is lost in the wire.
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A valid scientific hypothesis
A. is proven wrong
B. is proven right
C. can be proven right or wrong right
D. makes common sense
E. is not intuitive
C. can be proven right or wrong
A scientific hypothesis is a proposed explanation for an observation or phenomenon. A valid scientific hypothesis must be testable and falsifiable, meaning that it can be proven right or wrong through the collection and analysis of data. A scientific hypothesis that cannot be tested or disproven is not considered a valid scientific hypothesis. Additionally, a scientific hypothesis should not be based on common sense or intuition alone, as these can be misleading and not always accurate. Rather, it should be supported by evidence and logical reasoning.
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estimate the length of the unit cell edge, a, from the atomic radius of aluminum (1.43 å).
For the FCC lattice, the relationship between edge length (a) and atom radius (r) is ( 2a) = 4r.
F + V = E + 2, where F is the number of faces, V is the number of vertices, and E is the number of edges, is how Euler's formula is expressed. According to Euler's formula, the number of faces plus the number of vertices minus the number of vertices equals two for many solid shapes. Length: 0.20 to 14.20 meters, trimmed per request of customs. Wall Thickness Requirement: 0.4 mm. Circumscribed Circle Diameter 300 mm, maximum dimensions. Workability: Simple to machine, cut, and weld.
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Calculate the energy needed to change 10 grams of water from 70°C to 110°C. 5.7 kcal 350 kcal 0.35 kcal 5700 kcal
The energy needed for change 10 grams of water is 5.7.
What is Energy ?Energy is the ability to perform work in physics. It could exist in several different forms, such as potential, kinetic, thermal, electrical, chemical, radioactive, etc.
Energy is always assigned based on its nature once it has been transmitted. Thus, heat transmitted may manifest as thermal energy while work performed may result in mechanical energy.
Motion is a property of all energy types. For instance, if a body is moving, it possesses kinetic energy. Even while at rest, a tensioned object like a spring or bow has the ability to move; this is because of its design, which includes potential energy.
Therefore, The energy needed for change 10 grams of water is 5.7.
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given the following frequency distribution, how many pieces of data were less than 28.5?
The 25 pieces of data were less than 28.5.
What is frequency ?
The quantity of waves that pass a fixed place in a unit of time is referred to as frequency in physics. It also indicates how many cycles or vibrations a body in periodic motion experiences in a given amount of time.
What is data ?
In physics, organising and analysing experimental data is done to provide evidence for a theory or hypothesis. It is an important step in the scientific method and requires students to demonstrate high levels of expertise in key scientific skills.
From given table,
Take sum of frequencies up to class 23.5-28.8,
F = 4 + 9 + 12 = 25.
The number of pieces of the data were less than 28.5 is : 25.
Therefore, 25 pieces of data were less than 28.5.
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A fast-food hamburger (with cheese and bacon) contains 1000 Calories.
Part A
What is the burger's energy in joules? Please convert answer to kj in two significant figures.
Part B
If all this energy is used to lift a 20 {\rm kg} mass, how high can it be lifted?
Please express your answer in two significant figures in km
So, we compiled a list of every fast-food burger with more than 1,000 calories. Consider this: the majority of individuals eat 2,000 calories on average each day.
It is therefore quite simple to exceed that calorie restriction if one component of one meal has more calories than a day's worth. Because of this, we've compiled a list of the worst fast-food burgers with surprisingly high calorie counts, from the worst to the worst offenders. The lack of McDonald's burgers on this list may actually come as a surprise to you. Unexpectedly, every burger at Mickey D's has fewer than 1,000 calories. The Double Quarter-Pounder with Cheese, which has 740 calories, is the main offender.
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Which statement describes an unanticipated impact of a technological advance?
• A. Artificial neural networks have been developed to allow doctors to diagnose patients more quickly and accurately.
• B. The nonnative plant kudzu was brought to the United States in order to curb erosion, but it destroys native plants.
• C. Continued research and development has produced white LED lights that have gradually replaced traditional fluorescent and incandescent bulbs.
• D. The development of antibiotics allowed people to be treated for bacterial infections, but their overuse has led to strains of bacteria that cannot be killed by available antibiotics.
The statement that describes an unanticipated impact of a technological is that the development of antibiotics allowed people to be treated for bacterial infections, but their overuse has led to strains of bacteria that cannot be killed by available antibiotics.
What are antibiotics?An antibiotic is a type of antimicrobial substance active against bacteria which is the most important type of antibacterial agent for fighting bacterial infections, and antibiotic medications are widely used in the treatment and prevention of such infections.
Antibiotics are not effective against viral infections and this includes the common cold, flu, most coughs and sore throats.
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If planet A and B are both circling around star A and A completes an orbit in 2 days
while B needs 10 days, then what is the radius of B's orbit if that of A is 3.0 x 108 m (in
meters)?
The radius of B planet is 8.7 x 10^8m calculated based on the Kepler's third law.
Why is the third law of Kepler significant?The square of a planet's period of revolution around the sun in an elliptical orbit is precisely proportional to the cube of its semi-major axis, according to Kepler's law of periods. A planet's orbits around the sun are accurately described by Kepler's third law in terms of their period and distance.
Kepler's third law:
(TB/TA)^2 = (RB/RA)^3
TB and TA are time taken for B and A respectively.
RB and RA are radius of B and A respectively.
(10/2)^2= (RB^3/27 x 10^24)
RB => 8.7 x 10^8 m
What is the prerequisite for Kepler's third law?In fact, the total mass of the two bodies involved affects the constant in Kepler's Third Law. Kepler himself dealt only with the Sun-plus-planet 2-body system while researching the motion of the planets around the Sun.
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Frank’s power output to climb a set of stairs in 6 seconds is 400 W. How much word dis he do
The work done in 6 seconds is 66.66J oules.
Power, Work, and TimeWork is defined as the energy transferred to or from an object by applying force along a displacement. In its most basic form, work equals the product of force strength and distance traveled for a constant force aligned with the direction of motion.
Given Data
Time = 6 seconds
Power output = 400W
We know that the expression for power is given as
Power = Work*Time
Substituting our given data in the expression for power have
400 = Work*6
Making work subject of formula we have
Work = 400/6
Work = 66.66 Joules
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What is the direction of the magnetic force that this solenoid exerts on the bar magnet?
O Upward
O Downard
O To the right away from the solenoid
O To the left, toward the solenoid.
Correct option is D, the direction of the magnetic force that this solenoid exerts on the bar magnet To the left, toward the solenoid.
We are aware that like poles repel one another and that opposing poles attract one another. Therefore, the bar magnet will be drawn to the solenoid. Therefore, the solenoid's left side must be receiving the force.
We are aware that like poles repel one another and that opposing poles attract one another. Therefore, the bar magnet will be drawn to the solenoid. Therefore, the solenoid's left side must be receiving the force.
What does magnetic force mean?One of the four fundamental forces of nature, the electromagnetic force, results in the magnetic force, which is brought about by the motion of charges. When two charge-containing objects move in the same direction, a magnetic attraction pulls them together. A compass, a motor, the magnets that hold items in refrigerators, railroad tracks, and modern roller coasters are examples of devices that use magnetic force. A magnetic field is created by all moving charges, and the charges that move across its areas,
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which word best describes the motion of a liquid atom
Answer:
Classical Brownian motion
Explanation:
In liquids, particles are quite close together and move with random motion throughout the container. Particles move rapidly in all directions but collide with each other more frequently than in gases due to shorter distances between particles.
The term “classical Brownian motion” describes the random movement of microscopic particles suspended in a liquid or gas.
If the length and diameter of a wire of circular cross section are both doubled, the resistance is
A.) increased fourfold.
B.) doubled.
C.) unchanged.
D.) halved.
E.) None of these are true.
R = I/A, Resistance is inversely proportional to the circular cross section and directly proportional to the length of a wire. Therefore, the resistance is unaltered. The correct choice is c.
Additionally, the Greek uppercase letter omega is used to denote the resistance unit, which is the ohm. Additionally, the voltage applied across a specific resistor and the current passing through it affect the resistance. Resistance is a unit of measurement for the resistance to current flow in a certain electrical circuit. The area of a 3D object's sliced cross section, like a pipe, is known as the cross sectional area. The cross sectional area for the top portion of the sliced component will be determined when a pipe is cut perpendicular to its longest axis.
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In terms of L. find an expression for the distance xm for which the period is a minimum. Expression : Xm_______________________________
The expression for the distance xm for which the period is a minimum is given by xm = (2πL)/n, where n is an integer greater than or equal to 2.
What does Distance XM mean?
Distance xm refers to a distance measurement in meters. For example, if you see "Distance 500m," this means 500 meters.
Distance xm is also sometimes used to refer to a distance measurement in miles. For example, if you see "Distance 500m," this could mean 500 miles.
What do you mean by Integer and where is it used?
A whole number (not a fraction) that can be positive, negative, or zero is referred to as an integer. Integers include the numbers -5, 0, 1, 5, and 10. In many areas of mathematics, such as counting, measuring, and calculating, integers are used. They're also used in computer programming, where they're known as data types. Temperatures, dates, times, and money are examples of real-world values represented by integers.
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a 40.0 kg block of lead is heated from -25°c to 200.°c. how much heat is absorbed by the lead block? the specific heat value of lead is 130 j/kgoc.
To melt 2 kg of ice 835.48 KJ of heat is required.
Total heat = Heat required to convert 2 kg of ice to 2 kg of water at 0 °C + Heat required to convert 2 kg of water at 0 °C to 2 kg of water at 20 °C.
Heat=mhfg+mCpΔT
Here, m ( mass of ice) = 2 kg
hfg (latent heat of fusion of ice) = 334 KJ
Cp of water (specific heat) = 4.187 KJ/Kg-K
ΔT(Temperature difference) = 20 °C
Therefore, Heat required = 2 x 334 + 2 x 4.187 x (20 - 0 )
Heat reqd= 835.48 KJ
Therefore, to melt 2 kg of ice 835.48 KJ of heat is required
What is heat?
Heat is defined as a form of energy crossing the boundary of a thermodynamic system due to a temperature difference across that boundary.A thermodynamic system does not contain heat. However, the term is also often used to refer to the thermal energy contained in a system as part of its internal energy, which is reflected in the temperature of the system.To know more about heat, click the link given below:
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An airplane accelerates from the rest. Down a run way at 3.20 m/s2 for 32.8s until it finally lifted off the ground . Determine the distance traveled before takeoff
The plane's acceleration is 3.22 m/s2, and the travel duration is 3.28 seconds. The distance traveled before takeoff is 1720m.
How is the distance travelled prior to takeoff calculated?The kinematic equation gives us the distance travelled before to takeoff: d=v 0 t+1/2 at2, where d is the distance prior to takeoff, v 0=0 is the airplane's starting velocity, an is its acceleration, and t is the time.
A plane travels down a runway at 3. 20 m/s2 for 32. 8 seconds before ultimately taking off.
U=0 m/s is the airplane's initial speed.
The plane's acceleration is 3.22 m/s2, and the travel duration is 3.28 seconds.
Distance travelled using a formula S=ut+ 2 1 2
⇒ S=0(32.8)+0.5(3.2)(32.8) 2 =1721.3∼ 1720m
The distance traveled before takeoff is 1720m
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what would be the momentum of an object if it were moving at the speed of light?
There would be endless momentum. The object's momentum would be unlimited at the speed of light, therefore getting it there would take an infinite impulse.
An infinite impulse would require either an infinite force or an endless time (our time, not the time of the object), as impulse is defined as force times time.
The mass of an object would become infinite if it ever managed to travel at the speed of light. The energy needed to move the object would then have to be limitless, which is impossible. The principles of physics state that as we get closer to traveling at light speed, it takes more and more energy to move an object. You would require a limitless supply of energy, which is not conceivable, in order to travel at the speed of light.
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while the penumbra of a sunspot can "grow" and become bigger. What do you think this means? What is the significance of it for us on Earth
The significance is that the area around the sunspot is becoming darker and larger.
What are sunspot and why do they occur?
Sunspots are dark, cooler regions on the surface of the sun that appear dark in contrast to the surrounding brighter regions. They are caused by intense magnetic activity that impairs the flow of heat and energy from the sun's interior. Sunspots are most commonly found near the poles of the sun, and can vary in size from just a few hundred to many thousands of kilometers in diameter. Sunspots can last for days, weeks, or even months depending on their size and activity.
This is significant for us on Earth because sunspots are associated with increased solar activity, which can lead to changes in Earth’s magnetic fields. This can cause geomagnetic storms and additional radiation reaching Earth’s surface, which can disrupt power grids, radio transmissions, and other electronic systems.
Therefore, the sunspot is becoming darker and larger.
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The three wave pulses in (Figure 1) travel along the same stretched string. Part A Rank in order, from largest to smallest, their wave speeds va, Ub, and U. To rank items as equivalent, overlap them.
The wave velocity depends on the tension in the string and the mass per unit length of the string.
These two variables he remains the same for all three strings, so the speed is equal. Va = Vb = Vc
What is the wave speed?Wave speed commonly refers to velocity, but velocity actually means both speed and direction. A wave's velocity is equal to its wavelength times its frequency (the number of oscillations per second) and is independent of its intensity.
Why is wave speed important?Wave velocity is an important parameter that can accurately describe the mechanical properties of rocks.
What does wave speed depend on?The speed of a wave is independent of time and the source of the wave, but the speed of a wave depends on the wavelength of the wave propagating in a particular medium. Wave speed depends on the medium used.
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The bathroom is 100 meters away, and you can only walk at 2 m/s. How much time will it take you to reach the bathroom?
A: 200 sec
B: 50 sec
C: 100 sec
D: 20 sec
Answer:
50 seconds.
Explanation:
See attached photo.
This question can be solved by simply setting up cross-multiplication and understanding metrics.
Given Information• The bathroom is 100 meters away.
• One can only walk at 2 meters per second.
Set up the Cross-MultiplicationTo cross-multiply fractions, we multiply the numerator of the first fraction with the denominator of the second fraction and the numerator of the second fraction with the denominator of the first fraction.• So essentially we can ask the question like this:
If it takes one second to walk 2 meters, how many seconds will it take to walk 100 meters?The inequality can be set up like this:[tex]\frac{2meters}{100 seconds} = \frac{1 second}{x seconds}[/tex] 2 meters equals 1 second and 100 meters will be equal to x seconds because that's what we want to find. We will use an x to represent the unknown amount of seconds:Multiply the meters and seconds on each side.[tex](2 meters)(x seconds) = (100 meters) (1 second)[/tex]Because the unknown amount of seconds is multiplied by 2 meters on the left-hand side, divide both sides by 2 meters.[tex]\frac{(2 meters)(xseconds)}{(2 meters)} = \frac{(100 meters)(1seconds)}{(2 meters)}[/tex]Once 100 meters are divided by 2 meters, we are left with 50 seconds.Please see the image attached and let me know if this helped!!!
its due rn pls and thank you
The answers include the following:
Earth is currently in a interglacial period - False.Atmospheric composition has remained constant throughout earth's history - FalseClimate has changed naturally over Earth's history - TrueThe increase in carbon dioxide since the year 1860 is similar to past increases - False.What is Climate?
This is referred to as the average weather condition in a given area over a longer period of time and it is dependent on different factors.
Climate has changed naturally over Earth's history as a result of burning of the fossil fuels like coal, oil and gas which is therefore the reason why true was chosen as the correct choice.
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What is the component of A?
Express your answer to the nearest integer.
Ax=
Answer:
3
Explanation:
Are you looking just for the x-component of vector A? If so, the answer is:
3
Go from the tip of the vector A arrow straight down to the x axis
A roller coaster car(m=80kg) on nitro is moving at a speed of 68 m/s as it starts going up to the top of the ride. How high is the ride’s highest point relative to this starting point?
According to the given statement 11.48 m high is the ride’s highest point relative to this starting point.
What is speed in physics and its unit?Speed is the rate of change of a distance with respect to time. Time-distance is one of its dimensions. The result is that the basic units of time and distance are added to produce the SI unit of speed. The Si system of speed is therefore the m per second (m/s).
The following data were obtained from the question:
The roller coaster weighs 1200 Kg in mass (m).
Initial velocity (u) = 15 m/s.
Final speed (v) equals 0 m/s (at highest point)
Acceleration due to gravity (g) = 9.8 m/s²
Highest point (h) =?
The roller coaster's highest point can be found as shown in the illustration below:
h = u²/2g
h = 15² / 2 × 9.8
h = 225/19.6
h = 11.48 m
Therefore, the highest point reached by the roller-coaster is 11.48 m.
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two premises and a conclusion
The two premises and a conclusion are:
Premise 1: All birds can fly.
Premise 2: Eagles are birds.
Conclusion: Eagles can fly.
Premise 1: All living things need oxygen to survive.
Premise 2: Fish are living things.
Conclusion: Fish need oxygen to survive.
Premise 1: All fruits are high in vitamins.
Premise 2: Apples are fruits.
Conclusion: Apples are high in vitamins.
What are the premise about?These are examples of a logical argument that uses two premises, which are statements or propositions, as the basis for drawing a conclusion.
Therefore, In each example, the conclusion is a logical deduction based on the information provided in the premises. The first one is an example of an argument that uses the generalization and identification, the second one is an example of argument that uses the classification, and the third one is an example of argument that uses the definition.
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See full question below
give an example of two premises and a conclusion
As researchers cool a substance close to absolute zero, what happens?
-The work needed to cool it further falls to zero.
-The work needed to cool it further decreases, becoming easier.
-The work needed to cool it further increases.
-Work is done on the environment by the substance.
Answer:
Nothing can be cooled to a temperature of exactly absolute zero. The temperature of an object is a measure of the average random motion energy (kinetic energy) of its atoms. Absolute zero is the temperature at which all of an object's atoms have been brought to a dead stop relative to each other.
Explanation:
When applied to cooling, the question becomes how much work must be done and how large must the cooling reservoir be in order to cool an object to absolute zero (0 Kelvin, -273.15°C, or -459.67°F)? The physicists showed that cooling a system to absolute zero requires either an infinite amount of work or an infinite reservoir.
1. To prepare the body for the vigorous workout. 2. To allow the body to settle down and unwind. What does a well-designed kettlebell workout consist of? 1. Preparation phase: Warm up 2. Main phase: Workout 3. Final phase: Cool down What does the main phase of a workout involve?
A person’s environment can include many settings, including home, work, school, neighborhoods, recreation areas, and social events. If your environment is one in which drugs or alcohol are available and widely accepted, it can have a strong effect on your potential for abuse and addiction. Environmental factors can strongly influence addiction.
A small cube of mass m slides back and forth in a frictionless hemispherical bowl of radius R. The position of the cube is defined by the angle it is moved around the edge of the bowl starting from the bottom of the bowl. Suppose the cube is raised to an angle θ and released. What is the cube’s speed at the bottom of the bowl? Your solution must include labelled diagrams (initial and final) of the problem.
Your solution must address the following questions:
i. What is your definition for the system for this problem?
ii. Is any external work done on the system?
iii. What is the main principle or concept used to solve this problem?
iv. Discuss how this problem could be solved by using Newton’s laws, what problems are encountered?
The cube slides back and forth in a frictionless hemispherical bowl of radius R. When the cube is raised to an angle θ and released, the conservation of energy is applied to calculate the cube’s speed at the bottom of the bowl.
i. The system for this problem is the small cube of mass m and the hemispherical bowl of radius R.
ii. No external work is done on the system.
iii. The main principle or concept used to solve this problem is the conservation of energy.
iv. This problem can be solved by using Newton’s laws. The cube is initially at rest and is raised to an angle θ. Since the bowl is frictionless, the force of gravity is the only force acting on the cube, so the net force on the cube is zero. This means that the cube’s momentum is constant. Since the cube is at rest initially, its initial momentum is zero. As it is raised to an angle θ, it gains gravitational potential energy. At the bottom of the bowl, the cube’s gravitational potential energy is converted to kinetic energy, so the cube’s speed is equal to its kinetic energy divided by its mass (m). This means that the cube’s speed at the bottom of the bowl is:
Speed = (m * g * h) / m
where h is the height of the bowl.
The cube slides back and forth in a frictionless hemispherical bowl of radius R. When the cube is raised to an angle θ and released, the conservation of energy is applied to calculate the cube’s speed at the bottom of the bowl. The cube’s speed is found by dividing the cube’s gravitational potential energy by its mass.
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ketch a PV diagram and find the work done by the gas during the following stages.
(a) A gas is expanded from a volume of 1.0 L to 3.0 L at a constant pressure of 3.0 atm.
(b) The gas is then cooled at constant volume until the pressure falls to 2.0 atm.
(c) The gas is then compressed at a constant pressure of 2.0 atm from a volume of 3.0 L to 1.0 L. Note: Be careful of signs.
(d) The gas is heated until its pressure increases from 2.0 atm to 3.0 atm at a constant volume.
(e) Find the net work done during the complete cycle.
(a) The work done by the gas during this stage can be calculated using the equation: W = P * (Vf - Vi) = 3.0 atm * (3.0 L - 1.0 L) = 6.0 L-atm.
(b) The work done by the gas during this stage is zero, since the gas is cooling at constant volume.
(c) The work done by the gas during this stage can be calculated using the equation: W = P * (Vf - Vi) = 2.0 atm * (1.0 L - 3.0 L) = -4.0 L-atm. Note the negative sign indicates work is done on the gas.
(d) The work done by the gas during this stage can be calculated using the equation: W = P * (Vf - Vi) = 3.0 atm * (3.0 L - 3.0 L) = 0 L-atm.
(e) The net work done during the complete cycle can be found by adding up the work done during each stage: Wnet = 6.0 L-atm + 0 L-atm + (-4.0 L-atm) + 0 L-atm = 2.0 L-atm.
What is a constant pressure cycle?A constant pressure cycle is a thermodynamic process where the pressure remains constant while the volume and temperature of the gas change. In such a cycle, the work done by the gas is equal to the change in its volume multiplied by the constant pressure. The PV diagram of a constant pressure cycle is a horizontal line at the constant pressure value, because the pressure does not change. The most common example of a constant pressure cycle is the Otto cycle used in internal combustion engines.
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A lever is used to lift an object with a weight of 60 Newtons. The effort force is 15 meters from the fulcrum, while the load force
5 meters from the fulcrum. What is the mechanical advantage? (1 point)
0 3
O 75
O 12
04
According to the question, the effort force is 15 meters from the fulcrum, while the load force 5 meters from the fulcrum. The mechanical advantage is 4.
What is mechanical advantage?
Mechanical advantage is the ratio between the output force of a machine and the input force. It is used to compare the amount of work put in to the amount of work done. It is the measure of how much a machine multiplies the force applied to it or reduces the amount of force needed to do a certain task. Basically, it is the measure of how efficient a machine is. By using mechanical advantage, a machine can increase the output force or reduce the amount of force needed to do a certain task. This allows machines to be used to complete tasks that would be difficult or impossible to do using just human strength.
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