The Hamiltonian of a system defines its total energy, which is the product of its kinetic energy (that of motion) and potential energy (that of position). No, it is not a constant of motion.
Lagrangian and Hamiltonian definitionsThe distinction between kinetic and potential energy is what gives rise to lagrangian. The Italian mathematician discovered the Lagrangian in the year 1788. Cartesian coordinates are a lagrangian representation. The mathematically sophisticated version of classical mechanics is known as the Hamiltonian.
Hamiltonian mechanics can also be used to derive the radial force formula. The Hamiltonian is denoted by the following in polar coordinates:
The conjugate momentum of the azimuthal angle, p, is a constant of the motion because it does not appear in the Hamiltonian. The Hamiltonian equation of motion for demonstrates that this conjugate momentum is the magnitude L of the angular momentum.
dφ/dt = δH/δpφ = pφ/mr² = L/mr²
The motion equation for r that corresponds to this is
dr/dt = δH/δpr = \(p_{r}\)/m
The radial-force equation is obtained by taking the second derivative of r with respect to time and substituting Hamilton's equation of motion for pr.
d²r/dt² = 1/m dpr/dt
d²r/dt² = -1/m (δH/δr)
d²r/dt² = p²φ/m²r³ - 1/m dU/dr
d²r/dt² = L²/m²r³ + 1/mF(r)
No, it is not a constant of motion.
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please help!!!!!!!!!!!!!!!!!!!!!!
Answer: I'm sure the answer is a.
Explanation: I hope that helped you.
Answer:
Precipitate
Explanation:
what would be the weight of the following items in newtons? 2.5 kg of lead = . 0.7 kg of gold = . 430 g of copper = . 2,570 ml of water =
The weight of the items in Newton are:
2.5 kg of lead= 24.5 N0.7 kg of gold= 6.86 N430 g of copper= 4.214 N2570 mL of water= 25.186 NWhat is the weight of an object?The weight of an object is the force exerted on it by gravity. In the SI system, weight is measured in newtons (N). To calculate the weight of an object in newtons, you can use the formula W = m*g, where W is the weight in newtons, m is the mass in kilograms, and g is the acceleration due to gravity (9.8 m/s²).
For the first item, 2.5 kg of lead, the weight in newtons would be:
W = 2.5 kg * 9.8 m/s² = 24.5 N
For the second item, 0.7 kg of gold, the weight in newtons would be:
W = 0.7 kg * 9.8 m/s² = 6.86 N
For the third item, 430 g of copper, we first need to convert the mass from grams to kilograms:
430 g = 0.43 kg
Then, we can calculate the weight in newtons:
W = 0.43 kg * 9.8 m/s² = 4.214 N
For the fourth item, 2,570 ml of water, we first need to convert the volume from milliliters to liters, and then from liters to kilograms (since 1 liter of water has a mass of 1 kg):
2,570 ml = 2.57 L = 2.57 kg
Then, we can calculate the weight in newtons:
W = 2.57 kg * 9.8 m/s² = 25.186 N
So, the weight of the items in newtons are 24.5N, 6.86 N, 4.214 N, and 25.186 N respectively.
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2 pts
The energy and penetrating power of nuclear radiation in decreasing order is:
Alpha > beta > gamma
Beta > alpha > gamma
Gamma > beta > alpha
Answer:
I think the answer 1
Explanation:
im probably wrong too i dont know
A free undamped spring/mass system oscillates with a period of 5 seconds. When 12 N are removed from the spring, the system then has a period of 3 seconds. What was the weight of the original mass on the spring?
The weight of the original mass on the spring was approximately 6.75 Newtons (N). The period of oscillation of a spring/mass system is determined by the mass and the spring constant.
Let's assume the original mass on the spring is represented by M and the corresponding weight is W.
Given that the original period is 5 seconds and the modified period is 3 seconds, we can set up the following equation using the formula for the period of an oscillating spring/mass system:
T = \(2\pi \sqrt{M/k}\), Where T is the period, M is the mass, and k is the spring constant.
For the original system with a period of 5 seconds, we have:
5 = \(2\pi \sqrt{M/k}\) ...(1)
When 12 N are removed from the spring, the modified system has a period of 3 seconds. This implies that the spring constant has changed, but the mass remains the same. Let's assume the new spring constant is k'.
3 = \(2\pi \sqrt{M/k'}\) ...(2)
Dividing equation (1) by equation (2), we can eliminate the mass M:
5/3 = \(\sqrt{k'/k}\)
Squaring both sides of the equation gives:
25/9 = k'/k.
Rearranging the equation gives:
k' = (25/9)k.
Since the spring constant is directly proportional to the weight of the mass, we can conclude that the weight of the original mass W is also reduced by a factor of (25/9).
Let's assume the weight of the original mass on the spring is W0. Thus, the weight of the modified mass is (W0 - 12 N).
Using the proportionality, we have: (W0 - 12 N) = (25/9)W0.
Simplifying the equation, we find: (9/9)W0 - (12 N) = (25/9)W0, (-16/9)W0 = 12 N.
Multiplying both sides by (-9/16) gives: W0 = (-9/16)(12 N), W0 = -6.75 N
Therefore, the weight of the original mass on the spring was approximately 6.75 Newtons (N).
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A hair dryer uses the energy from the plug in order to power a small fan that blows air. When a hair dryer is being used, which is one of the energy transformations that takes place?.
Electrical energy is converted into the kinetic energy of the spinning fan and the thermal energy of the heated coils within a hair dryer when the appliance is turned on.
What is electric energy?Electrical energy is the capacity of the charged particles in an atom to start an action or move an object. The movement of electrons between atoms results in the production of electrical energy.
Every time you plug your toaster and phone charger into a wall socket, electrical energy is used to power them. Electric eels, batteries, and lightning are additional sources of this kind of power. However, electrical energy can also be converted into other types of energy, such as the thermal energy that warms your toaster and toasts your bread, or the mechanical energy that drives the acceleration of an electric car.
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Which dog has the most kinetic energy?
• A. A dog of mass 10 kg running with speed 8 m/s
• B. A dog of mass 14 kg running with speed 6 m/s
• C. A dog of mass 13 kg running with speed 7 m/s
• D. A dog of mass 15 kg running with speed 5 m/s
Identify what happens to the kinetic energy (KE) and gravitational potential energy (PE) of a rock as it falls.
KE and PE both increase.
KE and PE both decrease.
KE increases and PE decreases.
KE decreases and PE increases.
Answer:
KE increases and PE decreases.
Explanation:
POTENTIAL ENERGY (PE):
The potential energy of the rock depends upon the height of the rock, as given by the following formula:
P.E = mgh
Therefore, the potential energy will be highest at the initial point due to the highest height attained by rock. As the rock falls, its height will decrease as a result its potential energy will also decrease.
KINETIC ENERGY (KE):
The kinetic energy of the rock depends upon the velocity of the rock, as given by the following formula:
\(K.E = \frac{1}{2}mv^2\)
Therefore, the kinetic energy will be zero at the initial point due to the zero velocity of the rock. As the rock falls, its velocity will increase as a result its kinetic energy will also increase.
Hence, the correct option will be:
KE increases and PE decreases.
2. A bookshelf is 200 cm and 40 N weight, with supports at its ends (X and Y).
a. A book weighing 12 N is placed in the middle of the shelf. What are the upward forces at X and Y?
b. The book is moved so that it is 40 cm from B. Use moments to calculate the forces at X and Y.
Answer:
force =m×a=40=200×a=a=200-40=160m/second sguaredExplanation:
always accerelation it measures in m/second sguared.
To add to the complexity, those precious atoms face the peril of disintegrating into the void. Luckily, by now, they are feeling the influence of gravity to bring them safely together. Based on this sentence, the reader can infer that — A There was no gravity at the time of the Big Bang. B The most basic atoms were formed due to the force of gravity. C Gravity developed right after the first atoms fell apart. D The force of gravity helped collapse the newly created atoms.
Answer:
B The most basic atoms were formed due to the force of gravity.
Explanation:
Since the statement says that the atoms could have faced the peril of disintegrating into the void, this means that, they could have been destroyed by movement away into the void.
But, it also says that by now, they are feeling the influence of gravity to bring them safely together. This statement shows that gravity brings them (the atoms) together and thus doesn't allow them disintegrate into the void.
So, a reader can thus infer that the most basic atoms were formed due to the force of gravity since it doesn't allow the atoms disintegrate into the void.
So, B is the answer.
Light-years are used to measure distances in space. What does it mean when two stars are 150 light-years apart?.
Correct answer is, It takes 150 years for light to travel from one star to the other.
What is light year?
In a year, light travels a distance of one light-year. At a speed of 186,000 miles (300,000 kilometers) per second and 5.88 trillion miles (9.46 trillion kilometers) per year, light travels through interstellar space.
Space distances are measured using the light year because they are so vast that a huge unit of distance is needed.
The expanse of space makes sense. Daily units of measurement are simply too little to accurately calculate distances in space without using a lot of zeros.
For instance, the length of a quarter great circle from the equator to a pole was the original definition of a meter. This indicates that the Earth is approximately 40,000 kilometers in circumference.
Now think about the separation between the Earth and the Sun. It's almost 150,000 kilometers away. The amount is already significant.
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The perception of high or low sounds is called ____________. 2. The _______________ is a measurement unit for intensity of sound. a) meter b) decibel c) degree 3. Complete the chart showing decibels and amplitude. Decibel Amplitude 0 1 20 100 60 10000 120 1,000,000 4. On the decibel scale, a "quiet whisper 1 meter away" is about ____________ decibels, where a "jackhammer 3 meters away" is _____________ decibels. a) 20, 100 b) 10, 100 c) 10-15, 90 5. ________________ is the science and technology of sound. 6. The speed of sound is ________________ miles/hr, which is slower than the speed of light at ________________ miles/sec. 7. What does it mean when we say something is "supersonic?" 8. What is a sonic boom? 9. How fast does sound travel through different materials? 10. The Doppler effect is a shift in the _______________ of an oscillation caused by the motion of the source of the oscillation, and occurs at speeds below the speed of sound. a) amplitude b) frequency c) speed 11. Describe how observers "A" and "C" hear the moving sound in the picture in the middle of page 581. 12. Draw a "flow chart" that shows how the process of recording sound occurs.
1. pitch
2. decibel
3. sorry, i dont know
4. c
5. acoustics
the animation shows a star and a planet both orbiting the center of mass of the star–planet system. if the orbital period of the star is 2.3 years, what is the period of the planet?
If the orbital period of the star is 2.3 years and a planet both orbit the center of mass of the star-planet system, the period of the planet is shorter than that of the star.
Period is the time taken by an object to complete one revolution around the axis of rotation. The orbit of a planet around the sun is an example of periodic motion. Kepler's law states that the square of the time period of revolution of a planet around the sun is proportional to the cube of the mean distance of the planet from the sun.
Since the planet is also orbiting the center of mass of the system, it will have a shorter period than the star. Therefore, we can find the period of the planet using Kepler's law: period planet/period star = (distance planet/distance star)^3/2.
Given that the period of the star is 2.3 years, we can substitute it in the equation and solve for the period of the planet. period planet / 2.3 = (distance planet/distance star)^3/2. We can see that the distance ratio is inversely proportional to the time ratio. So, the distance of the planet will be less than that of the star. Thus, the period of the planet is less than 2.3 years.
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Make a tree diagram based on the topic motion which includes all the concept like uniform & non uniform motion accelerated motion equation of motion motion etc
I think it is a education tips
Calculate the amount of force required to produce motion in a car of 1000kg with an acceleration of 5m/s square.
Answer:
5000 N
Explanation:
F=ma
=1000*5
=5000N
Here's the solution,
mass = 1000 kgacceleration = 5 m/s²now, we know
\( \large \boxed{f = m \times a}\)
so,
\( \hookrightarrow \: f = 1000 \times 5\)\( \hookrightarrow \: f = 5000\)The force required is 5000 Newtons.
A 2 kg ball is thrown down with 50J of energy from a height of 10m, what is its velocity before it strikes the ground (neglect air resistance).
Answer:
V=14
Explanation:
PE=KE
mgh=1/2mv^2
(2)(9.8)(10)=1/2(2)v^2
(radical) 196=(radical) v
V=14
A ship sails west for 100km and then south for 100km. What is the displacement?
Please show me how you got the answer !
\(\sf \vec{w}=100\)
\(\sf \vec{s}=100\)For displacement apply Pythagorean theorem
\(\\ \rm\hookrightarrow 100^2+100^2\)
\(\\ \rm\hookrightarrow 10000+10000\)
\(\\ \rm\hookrightarrow 20000\)
PLEASE HELP ME
How does a psychologist compare to a biologist? Consider similarities and differences.
A psychologist differ from a biologist in that a psychologist deals with helping people solve their emotional and mental problems by way mind analysis while biologists are scientists who studies living organisms.
Understanding the biologistsBiology refers to the study of life. Someone who studies biology is called a biologist.
The biologists helps us to understand the following:
The cellular composition of living organismsThe various systems which effectively makes up our body.The variations which exist between organisms of the same or different species.The genetic makeup of plants and animals.Cellulose respiration and others.So therefore, a biologists helps us understand all about plants and animals while the psychologists deals with studying human minds.
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please give me answer of this question and I mark you as brainliest
Answer:
hi hello
Explanation:
idont know
the magnetic field in a large rotating body can reverse direction periodically. for which two bodies in the solar system has evidence been found for such magnetic reversals?
Evidence for magnetic reversals has been found for two bodies in the solar system: Earth and the sun.
On Earth, the magnetic field shifts and flips its polarity at irregular intervals, which are known as geomagnetic reversals. The last reversal occurred approximately 780,000 years ago. This process is thought to be caused by the motion of molten iron in the Earth’s core.
Similarly, on the sun, the magnetic field flips its polarity at the end of each 11-year solar cycle. This process is caused by the shifting of sunspots on the solar surface, which cause the magnetic field to reverse.
This reversal of the magnetic field on both Earth and the sun is evidence of the dynamo theory, which states that a planetary body’s magnetic field is generated by the motion of its liquid core.
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What is the slope of the line plotted below?
explain what happens to the gas pressure in a balloon as the temperature decreases
Answer: The pressure decreases as the temperature decreases.
Explanation: As the temperature decreases, the particles of gas start moving more slowly. The particles' velocity decreases and as it collides with the wall of the container, it exerts a less force on the walls of the container. This follows on from the equation Ft = mv - mu. Less force therefore means less pressure as force and pressure are proportional according to equation Pressure = Force / Area.
If you slid down Splash Mountain you would eventually come to a big pool at the end. Which one of Newton's Laws is this?
Answer:
Gravity
Explanation:
Answer:
law of gravity
Explanation:
i think
Why did the campers in Dr. Hewitt's story hear the sound of the campers across the lake more clearly at night than during the day?
The campers in Dr. Hewitt's story heard the sound of the campers across the lake more clearly at night than during the day due to the phenomenon known as sound refraction.
Refraction is the bending of sound waves as they pass through different mediums, such as air of different densities.
During the day, the air near the surface of the lake is warmer than the air at higher altitudes, creating a boundary between two layers of air with different densities.
This boundary acts as a barrier to sound waves, causing them to bend upward and away from the listener on the opposite shore.
However, at night, the air near the surface of the lake cools more quickly than the air at higher altitudes, creating a more uniform density throughout the air column.
This allows sound waves to travel straight across the lake without bending upward, making them easier to hear on the opposite shore.
Therefore, the campers in Dr. Hewitt's story were able to hear the sound of the campers across the lake more clearly at night due to the absence of the boundary layer that typically refracts sound waves during the day.
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a car with a mass of 1.80e 03 kg is driving on a flat circular turn of radius 18.0 m, while moving with a speed of 11.9 m/s. calculate the centripetal force on the car.
The centripetal force acting on the car is 1.416e04 N.
To calculate the centripetal force on the car, we can use the formula:
Centripetal force = (mass of the car) x (velocity of the car)^2 / (radius of the turn)
Given:
Mass of the car = 1.80e03 kg
Velocity of the car = 11.9 m/s
Radius of the turn = 18.0 m
Substituting the values into the formula, we get:
Centripetal force = (1.80e03 kg) x (11.9 m/s)^2 / (18.0 m)
Now let's calculate the value step by step:
Step 1: Calculate the square of the velocity:
(11.9 m/s)^2 = 141.61 m^2/s^2
Step 2: Divide the square of the velocity by the radius of the turn:
141.61 m^2/s^2 / 18.0 m = 7.8678 m/s^2
Step 3: Multiply the result by the mass of the car:
7.8678 m/s^2 x 1.80e03 kg = 1.416e04 N
Therefore, the centripetal force acting on the car is 1.416e04 N.
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What are the coterminal angles of 45°?
Answer: 405 and -315
Explanation: The coterminal angle of 45 is 405 and -315. Here 405 is the positive coterminal angle, and -315 is the negative coterminal angle.
Infrared waves have higher frequencies than microwaves. Which statement best compares the energy of these two types of waves?
Each infrared photon carries more energy than any microwave photon.
(If this statement is not one of the choices, then it's really sad that you couldn't show us the list of choices to select from.)
Answer:
The energy of infrared waves is more than that of microwaves.
Explanation: Just completed on Edmentum
Which are the products in the equation CH3SH + 4O2 → CO2 + SO2 +2H2O? Check all that apply. CH3SH, O2 ,CO2, SO2, H2O
Answer:
C D E is the answer
Explanation:
The products of the reaction are; CO2, SO2, H2O.
What is a chemical reaction equation?A chemical reaction equation equation is composed of;
Reactants on the left hand sideProducts on the right hand sideThe interaction between the reactants give rise to the formation of the products. The products are the result of rearrangement of atoms in the reactants.
For the reaction; CH3SH + 4O2 → , the products of the reaction are; CO2, SO2, H2O.
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HELP ME
PLS I will give brainliest
Answer:
Option 2
Explanation:
Since they want to know kinetic energy being increased, it cannot be Options 1 or 3. So now we're left with 2 and 4. 4 seems to be decreasing, so we can eliminate that. So, our answer is Option 2.
if the moon is highest in the sky this morning at 6:00 am, what phase will the moon be in one week from now?
The phase of the moon changes as it orbits around the Earth. It takes approximately 29.5 days for the moon to complete one orbit.
Therefore, if the moon is highest in the sky this morning at 6:00 am, one week from now it will be approximately halfway through its orbit. This means that the moon will be in its third quarter phase. During the third quarter phase, the moon appears as a half-moon in the sky with the right side illuminated.
This phase occurs when the moon is between the last quarter phase and the new moon phase. As the moon continues to orbit the Earth, it will eventually reach the new moon phase, where it appears completely dark in the sky. The cycle then repeats itself as the moon moves from new moon to full moon and back again. Understanding the phases of the moon can be helpful in planning outdoor activities and understanding the natural rhythms of the Earth and its satellite.
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Simpson drives his car with an average velocity of 12 m/s to the east. How long will it him to drive 1440m on a straight road in seconds?
Answer:
1440÷12=120
Explanation:
because u have to divide the mitre with the 12 m