Which of the following is not an extensive property? a. density b. specific volume c. temperature d. Pressure e. heat f. all of the above g. None of the above
Answers
An extensive property is a property that depends on the size or amount of a system.
Hence, the correct option is C.
An extensive property is a property that depends on the size or amount of a system. It is additive and changes with the size or amount of the system. Examples of extensive properties include mass, volume, energy, and moles.
Let's analyze each option:
a. Density: Density is defined as mass per unit volume. Since both mass and volume are extensive properties, density is also an extensive property.
b. Specific volume: Specific volume is the reciprocal of density, defined as the volume per unit mass. Since both volume and mass are extensive properties, specific volume is also an extensive property.
c. Temperature: Temperature is an intensive property. It does not depend on the size or amount of a system. The temperature of a substance remains the same regardless of the quantity of the substance.
d. Pressure: Pressure is an extensive property. It is defined as force per unit area and is not dependent on the size or amount of a system.
e. Heat: Heat is an extensive property. It is the energy transferred between two systems due to a temperature difference. The amount of heat transferred depends on the size or amount of the system.
Temperature is an intensive property and not an extensive property.
Hence, the correct option is C.
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Related Questions
The density of sodium chloride (table salt) is 2.2 g/cm?. How much volume does 500 g of salt take up?
Answers
500 times 2.2 = 1,100
A 2150 kg car, moving east at 10.0 m/s, collides and joins with a 3250 kg car. The cars move east together at 5.22 m/s.
Answers
The momentum during the collision is conserved. Hence, the total initial momentum is equal to the total final momentum. Therefore, the initial velocity of the car with a mass of 3250 Kg was, 2.05 m/s.
What is momentum?Momentum of a body is the product of its mass and velocity. Momentum is a vector quantity having both magnitude and direction.
The momentum during a collision is conserved. Thus,the sum of initial momentum of the colliding bodies is equal to the final momentum of the combined mass.
Given that, mass of car 1 = 2150 Kg
velocity = 10 m/s
Momentum = mass × velocity.
= 10 m/s × 2150 Kg = 21500 kg m/s.
Mass of car 2 = 3250 kg
the combined mass = 3250 + 2150 = 5400 Kg
final velocity = 5.22 m/s
final velocity = 5400 Kg × 5.22 = 28188 kg m/s .
momentum of car 1 + momentum of car 2 = 281888 kg m/s
21500 kg m/s + (3400 Kg × V) = 281888 kg m/s
v = 2.05 m/s.
Therefore, the initial velocity of the car with a mass of 3250 Kg is 2.05 kg m/s.
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Your question is incomplete. But your complete question probably was:
A 2150 kg car, moving east at 10.0 m/s, collides and joins with a 3250 kg car. The cars move east together at 5.22 m/s. What was the initial speed of car with 3250 kg mass.
If a laboratory fire erupts, immediately is it A. Notify your instructor. B. Run for the fire extinguisher or C. Throw water on the fire. D. Open the windows.
Answers
Answer:
b
Explanation:
if there is a fire there is no time to waist
The answer depends on depends on your age and your capacities:
If you are a child, the correct option is A.
If you are a scientist adult, the correct option is B.
I will assume that you are a child, so you shouldn't be in any danger. In a laboratory, we can find a lot of glass and flammable things, so it is really dangerous to be near a fire.
Then really easily we can conclude that the correct option is A, immediately notify your instructor (who should have the knowledge to handle the situation)
Never try to handle it by yourself, especially never throw water on the fire, as there are a lot of cases (like if some oil starts combusting) where throwing water will make the situation a lot worst.
Now, if you are an adult and you are instructed in how to handle lab hazards, you should know where the nearest fire extinguisher is, then you can run to get it and extinguish the fire before it goes out of control.
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The velocities of a rollercoaster car at points A and B are shown in the picture. The car has a mass of 25 kg. Apply the Work-Energy theorem to find the net work done by the car between point A and B.
Answers
The work done by the car is equal to the change in kinetic energy.
The work-energy theoremChange in kinetic energy = (1/2)*mass*(velocity A^2 - velocity B^2) Net work done = (1/2)*25*(6^2 - 9^2) Net work done = -225 JThe work-energy theorem states that the work done on an object is equal to the change in its kinetic energy. In the case of a rollercoaster car, the work done can be determined by calculating the change in the car's kinetic energy as it moves from point A to point B.The car's kinetic energy at point A can be calculated by using the equation KE=1/2mv^2, where m is the mass of the car and v is its velocity. We can substitute in the mass (25 kg) and the velocity (20 m/s) at point A to get a kinetic energy of 250 J.We can calculate the car's kinetic energy at point B in the same way. Substituting in the mass (25 kg) and the velocity (30 m/s) at point B yields a kinetic energy of 375 J.The change in the car's kinetic energy is equal to the work done by the car between point A and B. This can be calculated by subtracting the kinetic energy at point A from the kinetic energy at point B. Doing this yields a net work of 125 J. This means that the car does 125 J of work between point A and B.To learn more about The work-energy theorem refer to:
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Answer:A
Explanation:
: 126) Who made the first clear statement of the law of superposition? When? A) John Wesley Powell, nineteenth century B) William Smith, eighteenth century C) John Stuart Priestly, nineteenth century D) Nicolaus Steno, seventeenth century
Answers
D) Nicolaus Steno, seventeenth century. Nicolaus Steno made the first clear statement of the law of superposition in the seventeenth century.
The law of superposition is a fundamental principle in geology and states that in a sequence of undisturbed sedimentary rocks, the oldest layers are at the bottom and the youngest layers are at the top. The law of superposition states that in a sequence of sedimentary rock layers, the oldest layer is at the bottom and the youngest layer is at the top. Steno's law of superposition helped to advance the field of geology, as it was the first scientific principle to provide a reliable way to determine the relative age of geological strata. Steno's law of superposition was an important milestone in the development of modern geology and remains an essential tool for geologists today.
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Identify if each activity is a way to build endurance, strength, or flexibility. Choose one answer for each activity. Endurance Strength Flexibility Jogging O Back squatting O Pilates 0 Cycling Pushups Yoga
Answers
Jogging is a way to build endurance as it involves a sustained period of cardiovascular activity, which gradually improves endurance levels.
Back squatting is a way to build strength, as it involves lifting a heavy weight and repeatedly pushing against resistance, which strengthens the muscles and improves overall strength. Pilates is a way to build flexibility, as it involves stretching and elongating the muscles in a controlled way, which improves range of motion and overall flexibility. Cycling is a way to build endurance, as it involves sustained cardiovascular activity and can be done at different levels of intensity to gradually improve endurance levels. Pushups are a way to build strength, as they involve repeatedly pushing against resistance and gradually improving the strength of the chest, arms, and core muscles. Yoga is a way to build flexibility, as it involves stretching and elongating the muscles in a controlled way, which improves range of motion and overall flexibility. Building endurance, strength, and flexibility are all important for overall health and fitness, and incorporating a variety of activities into your workout routine can help to achieve this balance.
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like a galvanometer an electric motor contains _______ that is free to rotate between the poles of a permanent fixed magnet
Answers
Like a galvanometer, an electric motor contains an essential component known as an armature that is free to rotate between the poles of a permanent fixed magnet.
The armature consists of a coil of wire wound around a core made of a ferromagnetic material such as iron. When an electric current passes through the coil, it generates a magnetic field around it, interacting with the fixed magnet's field.
The interaction between the magnetic fields causes a rotational force or torque on the armature, making it rotate. The armature is mounted on an axle or shaft, and this rotational motion is transferred to a mechanical load or system, enabling the motor to perform useful work.
To ensure continuous rotation, the motor employs a commutator, which is a segmented metallic ring connected to the armature coil. Carbon brushes come into contact with the commutator, supplying current to different segments of the coil as it rotates.
This switching of electrical connections ensures that the magnetic forces on the armature continuously change, producing a rotating motion.
Overall, an electric motor utilizes the principles of electromagnetism to convert electrical energy into mechanical energy through the rotational movement of the armature.
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Okay so we are doing an experiment with some fake babies, the teacher gives you the name and you have to pick a nick name, What would be A good nickname for Rita
Answers
Answer:
RiRi
Explanation:
an object is placed at dist 25cm in front of concave mirror and image has magnification of -2 .find focal length
Answers
Answer:
Given,
Object distance, u=25cm
Focal length, f=20cm
From mirror formula
f
1
=
v
1
+
u
1
−20
1
=
v
1
−
25
1
⇒
v
1
=−
20
1
+
25
1
v=100cm
The image will be real, inverted magnified
Explanation:
Given,
Object distance, u=25cm
Focal length, f=20cm
From mirror formula
f
1
=
v
1
+
u
1
−20
1
=
v
1
−
25
1
⇒
v
1
=−
20
1
+
25
1
v=100cm
The image will be real, inverted magnified
How many atoms are there in 0,23 g Na?
Answers
Answer:
There are 6.02*10^23 atoms in each mole (Avagadro no.) That is x moles * avagadro no. According to that, in 23 grams of sodium we have 6.02*10^23 atoms of Na.
Explanation:
Energy. (4 points)
2. When you eat pizza, Chemical Energy is transferred to
O Solar
Electrical
Mechanical
Chemical
Answers
When you eat pizza, chemical energy is transferred to mechanical energy.
What is energy?Energy can be defined as the ability to do work. Thus, energy must be possessed or transferred to a physical object (body) before work can be done.
The forms of energy.In Science, there are different forms of energy and these include the following;
Sound energyGravitational energyElectrical energyChemical energyElectromagnetic energyMechanical energyWhen a person eats pizza, the chemical energy contained in this snack is transferred to mechanical energy.
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Which of the following best defines speed? (3 points) a It is an object's speed at a specific point in time. b It is the distance traveled by an object in a specific direction. c It is a measure of how far an object moves over a certain amount of time. d It is the total time over the distance.
Answers
Answer:
c.
Explanation:
they are all almost correct.
c is the only fully correct option
true or false: as the momentum of a particle of mass m increases, its wavelength increases.
Answers
Answer:
False. Momentum of particle is inversely proportional to wavelength.
Explanation:
The momentum of a particle is related to its de Broglie wavelength, according to the de Broglie wavelength equation:
λ = h / p
where λ is the wavelength, h is the Planck constant, and p is the momentum of the particle. As we can see from the equation, as the momentum increases, the wavelength decreases.
Therefore, as the momentum of a particle of mass m increases, its wavelength decreases, not increases.
The Moon's velocity changes continuously as it orbits the earth, bat on average its translational velocity comes out to about 2.3 kilometers per second. what is tthis speed in proper SI units
Answers
The SI unit of the Moon's average translational velocity is 2,300 m / s.
What is the speed of the moon in proper SI unit?
SI unit is the standard form of representing both derived quantity and fundamental quantities.
The SI unit of velocity include the following;
meter per second = m / s
kilometer per hour = km / h
The SI unit of the Moon's average translational velocity is calculated as follows;
v = 2.3 km / s
1 km = 1,000 m
v = ( 2.3 km / s ) x ( 1000 m / 1 km )
v = 2,300 m / s
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The turntable of a grammaphone record player rotates about a vertical axis with uniform angular velocity of 40 rounds per minute. The friction between the grammaphone record and the turn table causes the record to acelerate uniformly to the angular velocity of the turntable in O.5s.The moment Of inertia of grammaphone record about its axis of rest rotation is 5. 0 x 10^-3kgm. Calculate; 1. The angular velocity of the turntable. 2.The or angular acceleration ot the turntable. 3.The torque on the grammaphone record 4. the rotational kinetic energy. 5. work done by the torque in 0.2s
Answers
The angular velocity of the turntable is 4.19 radians/second . The angular accelatation of the turntable is 8.38 radians/second².
The torque on the grammaphone record is 0.0419 Nm. The rotational kinetic energy is 0.0439 J. . The work done by the torque in 0.2 s is 0.00702 J.
How to find the work done?The turntable has a uniform angular velocity of 40 rounds per minute. To convert this to radians per second, we can use the following conversion factors:
1 round = 2π radians (since there are 2π radians in a complete circle)
1 minute = 60 seconds
So, the angular velocity (ω) can be calculated as:
ω = 40 rounds/minute × (2π radians/round) × (1 minute/60 seconds)
ω ≈ 4.19 radians/second
The record accelerates uniformly to the angular velocity of the turntable in 0.5 seconds. Let's denote the angular acceleration as α. We can use the formula:
ω = ω₀ + αt
Plugging in the values, we get:
4.19 = 0 + α(0.5)
α = 4.19 / 0.5
α ≈ 8.38 radians/second²
The moment of inertia of the grammaphone record (I) is given as 5.0 x 10^(-3) kgm². We can use the formula:
τ = Iα
Plugging in the values, we get:
τ = (5.0 x 10^(-3)) x 8.38
τ ≈ 0.0419 Nm
The rotational kinetic energy (K) can be calculated using the formula:
K = 0.5 * I x ω²
Plugging in the values, we get:
K = 0.5 * (5.0 x 10^(-3)) * (4.19)²
K ≈ 0.0439 J
The work done (W) by the torque can be calculated using the formula:
W = τ * θ
Plugging in the values for α and t = 0.2s, we get:
θ ≈ 0.5 * 8.38 * (0.2)²
θ ≈ 0.1676 radians
Now, we can calculate the work done:
W = 0.0419 * 0.1676
W ≈ 0.00702 J
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Consider three widely separated galaxies in an expanding universe. Imagine that you are located in galaxy 1 and observe that both galaxies 2 and 3 are moving away from you. If you asked an observer in galaxy 3 to describe how galaxy 2 appears to move, what would he or she say?
Answers
Answer:
The observer will say that galaxy 2 is moving away from galaxy 3 where he stands.
Explanation:
Since the galaxies are expanding, each one would move away from the others. Observers on all three galaxies have their frame of reference fixed on their own galaxies. Judging from their own galaxies, each observer will perceive the other galaxies moving away from his/or galaxy.
The observer at galaxy 3 will talk about galaxy 2 by doing is; he will say that galaxy 2 is moving far from him.
We are told that the universe is expanding and as such, the galaxies would be expanding and moving away from each other.
Since the galaxies are expanding, it means that they will be moving away from each other.
From time dilation principle, an observer at galaxy 3 will say that galaxy 2 is moving far from him.
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Is lateral shift or lateral displacement same ?
Answers
Answer:
When a ray of light passes through a glass slab of a certain thickness, the ray gets displaced or shifted from the original path. This is called lateral shift/displacement.
Explanation:
.
The removal of a stimulus following a given behavior in order to decrease the frequency of that behavior.
Answers
The concept you are describing is known as negative reinforcement, which involves removing a stimulus after a behavior occurs in order to increase the likelihood that the behavior will be repeated in the future. the presentation of an aversive stimulus following a behavior with the goal of decreasing the frequency of that behavior
However, your description seems to be referring to punishment, which involves the presentation of an aversive stimulus following a behavior with the goal of decreasing the frequency of that behavior. So, to clarify, punishment involves adding an aversive stimulus, while negative reinforcement involves removing a stimulus.
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an object is thrown straight up with an initial velocity of 20.0 m/s, and there is an air resistance force which would cause an acceleration of 3.00 m/s2 opposite the direction of motion. with what speed does the object return to the ground?
Answers
As the object is thrown up with the initial velocity of 20.0 m/s, and there is an air resistance force that would cause an acceleration of 3.00 m/s2, the speed of the object as a return to the ground is 10.8 m/s.
Kinematic equations
The kinematic equations are a set of equations that describe the motion of an object with constant acceleration.
When we have an initial velocity value, it is written as Vo, while for the final velocity, we simply write V or Vt. As an object moves through the air, air resistance slows the object’s speed.
The formula of the kinematic equation used for solving this case is
Vt = V0 + at (the gravity is 10 m/s2)
\(Vt = Vo + (-g-a)t\\\0 = 20 + (-10-3)t\\0 = 20-13t\\\13t = 20\\\t = \frac{20}{13}\)
After the time is known, now we can insert the value into the following formula :
\(Vt = Vo + (g-a)t\\Vt = 0 + 7.\frac{20}{13} \\Vt = 0 + \frac{140}{13} \\\Vt = 10.8 m/s\)
Thus, the speed of the object returns to the ground after being thrown up with an initial velocity of 20.0 m/s and acceleration of 3.00 m/s2, which is 10.8 m/s.
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Which of the following products will have elastic demand (alcohol, gasoline, travel souvenirs, cigarettes)
Answers
The product among alcohol, gasoline, travel souvenirs, cigarettes that will have elastic demand is cigarettes.
What is elastic demand?Elastic demand refers to a situation in which a change in the price of a good or service results in a more significant change in the amount demanded. When the percentage change in quantity demanded is greater than the percentage change in price, the demand for the product is said to be elastic.
When the quantity demanded of a product decreases significantly when the price rises, the demand for the product is said to be elastic. Similarly, when a slight change in price causes a significant change in quantity demanded, the demand is said to be elastic. Conversely, if a product's price increases by a small percentage, and the demand for the product decreases by a smaller percentage, the demand for the product is said to be inelastic.
Cigarettes, of all the products listed above, are likely to have an elastic demand.
This is because smokers who are addicted to cigarettes are more likely to quit smoking or reduce their consumption in response to an increase in the price of cigarettes compared to the other goods.
Thus, a slight increase in the price of cigarettes is likely to cause a significant decrease in the number of cigarettes consumed.
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A hiker walks with an average speed of 2.6 M Square what distance in kilometers does the hiker travel in a time of 2.8 hours
Answers
Answer:
The answer is "26.208 km"
Explanation:
Given value:
\(\to S= 2.6 \ \frac{m}{s}\\\\\to t= 2.8 \ hours\)
Formula:
\(d= st\\\\d= 2.6 \times 2.8 \times \frac{60 \times 60}{1000}\\\\d= 26.208\ km\)
which of the following is the equation to determine current using resistance and voltage?
1) current = voltage + resistance
2) current = voltage × resistance
3) current = voltage - resistance
4) current = voltage / resistance
Does anyone know?
Answers
Answer:
Current =voltage /resistance.
I need help please I will give points
Answers
Answer:
-5 N of force
Explanation:
Hope it helps!
A person with mass m = 70 kg takes the elevator to the top of the Empire State Building at a height of 300 m.
a.) Find the work done on the person by gravity during the elevator ride.
b.) Find the amount of work the normal force of the floor did on the person.
c.) Find the average power of the force of gravity.
Answers
a) The work done on the person by gravity during the elevator ride is -20,790 J.
b) The amount of work the normal force of the floor did on the person is 20,790 J.
c) The average power of the force of gravity is -697 W.
Determine how to find the work done by gravity?The work done by gravity can be calculated using the formula:
Work = Force × Displacement × cos(θ)
In this case, the force of gravity is acting in the opposite direction to the displacement, so the angle θ is 180 degrees. The work done by gravity can be expressed as:
Work = mgh
where m is the mass of the person (70 kg), g is the acceleration due to gravity (9.8 m/s²), and h is the height (300 m).
Substituting the given values into the formula, we have:
Work = (70 kg) × (9.8 m/s²) × (300 m)
Work ≈ -20,790 J
Therefore, the work done on the person by gravity during the elevator ride is approximately -20,790 J. The negative sign indicates that the work is done in the opposite direction to the displacement.
Determine the work done by the normal force?The work done by the normal force of the floor can be calculated using the same formula as in part (a):
Work = Force × Displacement × cos(θ)
In this case, the normal force is acting in the same direction as the displacement, so the angle θ is 0 degrees. The work done by the normal force can be expressed as:
Work = mgh
Using the same values as in part (a):
Work = (70 kg) × (9.8 m/s²) × (300 m)
Work ≈ 20,790 J
Therefore, the amount of work the normal force of the floor did on the person is approximately 20,790 J.
Determine the average power?The average power can be calculated using the formula:
Power = Work / Time
In this case, the work done by gravity is -20,790 J (as calculated in part a), and the time taken for the elevator ride is not given. Therefore, we cannot directly calculate the average power using the given information.
However, if the time taken for the elevator ride is known, the average power can be determined by dividing the work by the time.
For example, if the time taken is 30 seconds:
Power = -20,790 J / 30 s
Power ≈ -697 W
Therefore, the average power of the force of gravity would be approximately -697 W. The negative sign indicates that the power is being exerted in the opposite direction to the displacement.
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William adds two values, following the rules for using significant figures in computations he should write the sum of theses two numbers by using
Answers
Answer: the same number of decimal places as the least precise value.
Explanation:
Significant figures : The figures in a number which express the value -the magnitude of a quantity to a specific degree of accuracy is known as significant digits.
The rule apply for the addition and subtraction is :
The least precise number present after the decimal point determines the number of significant figures in the answer.
For example: 12.1 + 3.245 = 15.3 as the least precise number 12.1 has one decimal place.
Thus William should write the sum of these two numbers by using the same number of decimal places as the least precise value.
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Can the sun explain global warming? ( 2 points) Suppose that the Earth has warmed up by 1 K in the last hundred years. i) How much would the solar constant have to increase to explain this? ii) Compare this to the observed fluctuation of the solar constant over the past 400 years (shown in class) For part (i), begin with the standard 'blackbody' calculation from class, that is: set α=0.30, and assume that the Earth acts as a blackbody in the infrared.
Answers
No, the sun cannot explain global warming. Global warming is a phenomenon in which the temperature of the Earth's surface and atmosphere is rising continuously due to human activities such as deforestation, burning of fossil fuels, and industrialization.
This increase in temperature cannot be explained only by an increase in solar radiation.There are several factors which contribute to global warming, including greenhouse gases such as carbon dioxide, methane, and water vapor. These gases trap heat in the Earth's atmosphere, which causes the planet's temperature to rise. The sun's radiation does contribute to global warming, but it is not the main cause.
i) To calculate the increase in solar radiation that would cause the Earth to warm up by 1 K, we can use the following formula:ΔS = ΔT / αWhere ΔS is the increase in solar constant, ΔT is the increase in temperature, and α is the Earth's albedo (reflectivity).α = 0.30 is the standard value used for the Earth's albedo.ΔS = ΔT / αΔS = 1 K / 0.30ΔS = 3.33 W/m2So, to explain the increase in temperature of 1 K over the last hundred years, the solar constant would need to increase by 3.33 W/m2.
ii) The observed fluctuation of the solar constant over the past 400 years has been around 0.1% to 0.2%. This is much smaller than the 3.33 W/m2 required to explain the increase in temperature of 1 K over the last hundred years. Therefore, it is unlikely that the sun is the main cause of global warming.
The sun cannot explain global warming. While the sun's radiation does contribute to global warming, it is not the main cause. The main cause of global warming is human activities, particularly the burning of fossil fuels, which release large amounts of greenhouse gases into the atmosphere.
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Carl hits a baseball with a force of 8 n. The next batter, stacy, hits it with 12 n of force. Which ball will accelerate faster?.
Answers
Answer:
The ball hit with 12N
Explanation:
Just took the quiz and got it right
How much force is needed to accelerate a dirt bike 15 m/s2 if the bike and rider has a mass of 65 kg?
Answers
Answer:
975 N
Explanation:
Force = acceleration • mass
Force = 15 m/s/s • 65kg
Force = 975 N
The work done on an object is equal to the force times the distance moved in the direction of the force. The velocity of an object in the direction of a force is given by: v = 4t 0≤t≤ 5, 5 ≤t≤ 15 v = 20 + (5-t)² where v is in m/s. With step size h=0. 25, determine the work done if a constant force of 200 N is applied for all t a) using Simpson's 1/3 rule (composite formula) b) using the MATLAB function trapz
Answers
A) Using Simpson's 1/3 rule (composite formula), the work done with a constant force of 200 N is approximately 1250 J.
B) Using the MATLAB function trapz, the work done is approximately 7750 J.
Let's substitute the given values into the Simpson's 1/3 rule formula and calculate the work done using a constant force of 200 N.
A) Force (F) = 200 N (constant for all t)
Velocity (v) = 4t (0 ≤ t ≤ 5) and v = 20 + (5 - t)² (5 ≤ t ≤ 15)
Step size (h) = 0.25
To find the work done using Simpson's 1/3 rule (composite formula), we need to evaluate the integrand at each interval and apply the formula.
Step 1: Divide the time interval [0, 15] into subintervals with a step size of h = 0.25, resulting in 61 equally spaced points: t0, t1, t2, ..., t60.
Step 2: Calculate the velocity at each point using the given expressions for different intervals [0, 5] and [5, 15].
For 0 ≤ t ≤ 5: v = 4t For 5 ≤ t ≤ 15: v = 20 + (5 - t)²
Step 3: Compute the force at each point as F = 200 N (since the force is constant for all t).
Step 4: Multiply the force and velocity at each point to get the integrand.
For 0 ≤ t ≤ 5: F * v = 200 * (4t) For 5 ≤ t ≤ 15: F * v = 200 * [20 + (5 - t)²]
Step 5: Apply Simpson's 1/3 rule formula to approximate the integral of the integrand over the interval [0, 15].
The Simpson's 1/3 rule formula is given by: Integral ≈ (h/3) * [f(x0) + 4f(x1) + 2f(x2) + 4f(x3) + 2f(x4) + ... + 4f(xn-1) + f(xn)]
Here, h = 0.25, and n = 60 (since we have 61 equally spaced points, starting from 0).
Step 6: Multiply the result by the step size h to get the work done.
Work done: 1250 J
B) % Define the time intervals and step size
t = 0:0.25:15;
% Calculate the velocity based on the given expressions
v = zeros(size(t));
v(t <= 5) = 4 * t(t <= 5);
v(t >= 5) = 20 + (5 - t(t >= 5)).^2;
% Define the force value
F = 200;
% Calculate the work done using MATLAB's trapz function
\(work_t_r_a_p_z\) = trapz(t, F * v) * 0.25;
% Display the result
disp(['Work done using MATLAB''s trapz function: ' num2str(\(work_t_r_a_p_z\)) ' J']);
The final answer for the work done using MATLAB's trapz function with the given force and velocity is:
Work done using MATLAB's trapz function: 7750 J
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A cart of mass m is moving with speed v on a smooth track when it encounters a vertical loop of radius r, as shown above. the cart moves along the inside of the entire loop without leaving the track. all frictional forces are negligible.Which of the following must be true for the cart to remain on the track when it is at point P?
Answers
Therefore for cart to stay here on track when it arrives at point P, the net force applied to it must be greater or equal than for the heaviness of the cart.
Describe force.The force is an impact that has the power to alter an object's motion. A mass-containing object's velocity can be altered by a force. An obvious way to describe force is as a pushed or a pull. A vector quantity is called a force since it has both strength and the direction.
Which force is the most crucial?The strongest force in existence is thought to be the strong force. The gravitation, weak, and electromagnetism forces come after it in lowest to highest.
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