Torque on an electric dipole is given by the formula, τ = q d e sinθ, where, τ is torque, q is charge, electric field strength e, angle between dipole and electric field.
When we consider a dipole that is placed in a uniform electric field e, to calculate the torque experienced by the dipole when placed in an external field with the axis of the dipole is at an angle to the electric field.
F = ± q e
The elements of the dipole-perpendicular force, F = ± q e sin θ
We know, τ = r × F = (q e sin θ) d = q d e sin θ
The dipole rotates when it is exposed to a consistent external electric field. Furthermore, the sum of the force and its arm determines its magnitude. The distance between the site of application of force and the point of rotation of the dipole is known as the arm.
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A ball falls from a tall bridge. The ball has a mass of 0.15 kg. The air density is 1.225 kg/m³. The ball's surface area is
0.0026 m². The ball's coefficient of drag is 0.007. What is the ball's terminal velocity? (1 point)
O 164 m/s
O 30.4 m/s
O 402 m/s
O 363 m/s
Answer:
Gravity and Air Resistance Quick Check
Explanation:
1)It stops accelerating.
2)The greater the object’s surface area, the more air resistance it encounters.
3)Vt=2w/dACd
4)363 m/s
5)a typical meteorite’s weight, surface area, and coefficient of drag; air density close to Earth
This is for gaca people other people might not have this so relook at it to make sure or u will get a low grade
Diamond has a density of 3520 kg/m3. During a physics lab, a diamond drops out from Virginia’s necklace
The density of a place refers to the quantity of things—which may include people, animals, plants, or objects—there are in it.
What does density mean?The quantity of things—which could include humans, animals, plants, or objects—in a given space is referred to as density. To determine density, divide the number of objects by the area's measurement. The number of people in a country divided by its area in square kilometres or miles is known as its population density.
The amount of "stuff" in a certain amount of space is measured by its density. For instance, a block of gold will be denser than a chunk of the softer, lighter element lead (Pb), which is a heavier element (Au). A brick is more dense than a block of Styrofoam. It is described as mass divided by volume.
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How does mass affect thermal energy transfer hypothesis?.
Different masses change the temperature at different rates when they are exposed to the same amount of thermal energy. The reason for this is that the amount of mass affects an object's ability to absorb thermal energy.
Thermal energy is the energy enclosed within a system that controls its temperature. Heat is also defined as the flow of thermal energy. Thermodynamics is a branch of physics that deals with how heat is transmitted between various systems and how work occurs in the process.
Once the temperatures are equal, there is no net heat transfer because the amount of heat transmitted from one object to the other is equal to the amount of heat returned. Temperature change is a significant effect of heat transfer: Heating raises the temperature, while cooling lowers it.
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A change in the magnetic field surrounding the conductor induces a voltage in the conductor. this induced voltage is known as ___.
A change in the magnetic field surrounding a conductor induces a voltage in the conductor. This induced voltage is called self-induction.
A changing magnetic field induces an additional emf or voltage in a conductor. This induction of additional voltage is called self-induction because it is induced in the conductor itself. A coil of wire induces a current when it is placed in a changing magnetic field. Something creates an electric field around the wire, forcing a charge around it. (Early charges cannot become magnetic because they are not moving). Electromagnetic induction is the process by which an electric current is induced by a changing magnetic field.
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What do you predict the 3 main sources of electrical energy generation to be 40 years from now? Why?
Three main sources of electrical energy generation 40 years from now would predictably be:
Renewable energy Nuclear energy Natural gas Which electrical energy sources might be around in 40 years ?Renewable energy which includes sources such as solar, wind, geothermal, and hydroelectric power, which are considered to be sustainable and have low environmental impact. As concerns about climate change and the need to reduce carbon emissions continue to grow, it is likely that renewable energy sources will play an increasingly important role in meeting energy needs.
Nuclear power plants are a reliable and low-carbon source of energy, but have a lot of concerns regarding safety, waste and proliferation. Natural gas is considered a transition fuel, as it emits less carbon dioxide than coal, but more than renewable energy sources.
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Particles q1 = -66.3 UC, q2 = +108 uC, and
93 = -43.2 uC are in a line. Particles q1 and q2 are
separated by 0.550 m and particles q2 and q3 are
separated by 0.550 m. What is the net force on
particle q2?
The sum total of all forces which are acting on an object is known as the net force. A mass can accelerate due to the net force.
What is net force?The sum total of all the forces which are acting on an object is known as the net force. A mass that can accelerate due to net force on an object. Whether a body is at rest or in motion, it is a subject to another force. When there are a lot of forces which are acting on a system, the term net force is used to denote it.
Here, r₁₂ = 0.550m r₂₃ = 0.550m. Then the distance from the first charge to the third one will be:
r₁₃ = r₁₂ + r₂₃ = 0.550 + 0.550 = 1.1m
According to the Coulomb's law, the net force on particle q₂ will be equal to the sum of the forces on particle q₂ from the particle q₁ and q₃.
F₃+ = F₁₃ +F₂₃ = q₁q₂/r²₁₃ + k q₃q₂/r²₂₃
Where, k = 9 × 10⁹ N m²/C²
Substituting numerical values, we obtain:
F₃ = 9 × 10⁹ (-66.3 × 10⁻⁶)(-43.2 × 9 × 10⁻⁶)/ 1.45² + 9 × 10⁹ × 108 × 10⁻⁶ (-43.2 × 10⁻⁶) / 0.550²
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Which explanation is based on empirical evidence
Empirical evidence is the information obtained through observation and documentation of certain behavior and patterns or through an experiment.
What is Empirical Evidence?The main ways to gather empirical evidence are through experiments or observation. The term "primary sources" refers to the observations or experiments. But it can also be found in a variety of secondary sources, such as books, articles, reports, newspapers, etc.
A fundamental component of the scientific research approach that can be used in many fields is empirical evidence. The gathering of objective evidence is the major issue with empirical research. Researchers must carefully plan their study while reducing the risk of probable mistakes.
In the field of science, it is typical for numerous researchers or scientists to acquire data simultaneously by conducting identical studies. Peer review is another crucial scientific strategy used to substantiate the data presented in a study or piece of research.
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Is the acceleration of the ball positive or negative as it falls down?.
Acceleration of the ball is positive as it falls down because there is a gravity that make it faster.
What is constant acceleration?Constant acceleration define as an even more specific type of accelerated moving object. An object that moves with constant acceleration has a speed that changes for the same amount every second. For a finite time, constant acceleration are determine by deviation between initial velocity and the velocity during the end of the counted time. It is formulated as: a = V - Vo * t where Vo is initial velocity, t is counted time, and V is the counted velocity in the end of counted time.
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A lever with an effort arm of 10 meters and a load arm of 2 meters is used to lift an object weighing 220 newtons to a height of 4 meters. if 400 joules of work is done, how much force must have been applied?
If 400 joules of work is done, 100 newtons force much have been applied.
In order to calculate the force required to lift an object weighing 220 newtons to a height of 4 meters with a lever having an effort arm of 10 meters and a load arm of 2 meters, we must first determine the amount of work done.
Since 400 joules of work was done, we can use the formula Work = Force x Distance to calculate the force required.
In this case, the distance is 4 meters, so the equation becomes
400 = Force x 4.
By dividing 400 by 4 we can determine that the force required is 100 newtons.
Therefore, in order to lift the object weighing 220 newtons to a height of 4 meters with a lever having an effort arm of 10 meters and a load arm of 2 meters, 100 newtons of force must have been applied.
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the stem of a meat thermometer shall be constructed of
The stem of meat thermometer shall be constructed of stainless steel.
What kind of meat thermometer is ideal?An instant-read thermometer is a more popular type that you can quickly use to determine whether food is done by inserting it into it for a short period of time. A probe thermometer is another kind; it is made to stay inside the meat throughout cooking.
Still, it can get as cold as -58 to as hot as 572 degrees Fahrenheit. We used this thermometer to check the temperature of our meats, and we discovered that it was just as accurate—if not more—and quicker. Even though the price is higher, the product's high quality and prolonged battery life make it worthwhile.
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What is SI unit of frequency Mcq?.
The hertz (Hz) is the SI frequency unit named after the German physicist Heinrich Hertz; one hertz means that an event occurs once every second.
What is frequency?The frequency of a repeating event is the number of occurrences per unit of time. It is distinct from angular frequency and is sometimes referred to as temporal frequency. The unit of frequency is hertz, which equals one event per second. The number of waves that pass through a fixed point in a given amount of time is described by frequency. So, if a wave takes half a second to pass, the frequency is 2 per second. The frequency is 100 per hour if it takes 1/100 of an hour.
Here,
The hertz (Hz) is the SI unit of frequency, named after the German physicist Heinrich Hertz; one hertz means that an event occurs once every second.
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How much is 1 mole exactly?.
The mole, often known as mol, is a SI unit that counts the particles in a given substance. 6.0221*10^23 atoms, or other fundamental building blocks like molecules, make up one mole.
A substance's mole is equivalent to 6.022 x 10^23 of that material (such as atoms, molecules, or ions). The term "Avogadro's number" or "Avogadro's constant" refers to the number 6.0221*10^23. To convert between mass and the quantity of particles, use the mole concept.
The ratio between the atomic mass unit and gram mass unit sizes affects the number in a mole, or Avogadro's number. One mole of hydrogen atoms weighs about one gram, compared to the mass of one hydrogen atom, which is roughly one unit.
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Gretchen runs the first 4. 0 km of a race at 5. 0 m/s. Then a stiff wind comes up, so she runs the last 1. 0 km at only 4. 0 m/s.
Answer: Answer: The constant speed is 4.76 m/s
What is Velocity ?
-- Velocity is the directional speed of an object in motion as an indication of its rate of change in position as observed from a particular frame of reference and as measured by a particular standard of time.
- It is vector quantity.
-- SI unit is M/s.
Determination of the time taken for first 4 Km
Distance = 4 Km = 4 × 1000 = 4000 m
Speed = 5 m/s
Time 1 =?
Time 1 = distance / speed
Time 1 = 4000 / 5
Time 1 = 800 s
Determination of the time taken for the last 1 Km
Distance = 1 Km = 1 × 1000 = 1000 m
Speed = 4 m/s
Time 2 =?
Time 2 = distance / speed
Time 2 = 1000 / 4
Time 2 = 250 s
Determination of the constant speed
Total distance = 4000 + 1000 = 5000 m
Total time = 800 + 250 = 1050 s
Constant speed =?
Constant speed = Total distance / total time
Constant speed = 5000 / 1050
Constant speed = 4.76 m/s
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Who is God of physics in world?.
Stephen hawking is called the god of physics.
Stephen William Hawking was a British theoretical physicist, cosmologist, and author who, at the time of his death, was the Director of Research at Cambridge University's Center for Theoretical Cosmology. Stephen Hawking was considered one of the greatest theoretical physicists in history. From the Big Bang to Black His Hole, his work on the origin and structure of the universe has revolutionized the field, but his best-selling book is an excellent introduction to readers who may not have Dr. Hawking's scientific background. also appealed. Hawking is best known for discovering that black holes emit radiation that can be detected with special instruments.
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classify each statement as an example of adhesion, cohesion, or surface tension.
Examples of adhesion are option A and C, cohesion are option B and E, and surface tension are option D and F.
Adhesion refers to the tendency of dissimilar particles or surfaces to cling to one another. Water molecules that cling to plant cell wall and water molecules that cling to the side of a beaker are examples of adhesion. Cohesion refers to the tendency of similar or identical particles or surfaces to cling to one another. Water molecules attracted to each other, or a drop of water spilled on a table forms a drop on the table, rather than spreading out over the surface are examples of cohesion.
Surface tension refers to the tendency of liquid surfaces at rest to shrink into the minimum surface area possible. Surface tension enables objects with a higher density than water to float on a water surface without becoming even partly submerged. A sewing needle floats when it is placed gently on top of water in a bucket, or a water strider runs across a pond without breaking the surface are examples of surface tension.
Note: The question is incomplete. The complete question probably is: Classify each statement as an example of adhesion, cohesion, or surface tension. A) Water molecules cling to the side of a beaker. B) A drop of water spilled on a table forms a drop on the table, rather than spreading out over the surface. C) Water molecules cling to plant cell wall D) A water strider runs across a pond without breaking the surface. E) Water molecules are attracted to each other F) A sewing needle floats when it is placed gently on top of water in a bucket.
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Each statement can be classified as follows:
Adhesion: Water molecules cling to plant cell wall, Water molecules cling to the side of a beaker.
Cohesion: Water molecules are attracted to each other, A drop of water spilled on a table forms a drop on the table, rather than spreading out over the surface.
Surface tension: A sewing needle floats when it is placed gently on top of water in a bucket, A water strider runs across a pond without breaking the surface.
Adhesion, cohesion, and surface tension are three important properties of liquids that affect their behavior.
Adhesion is the attractive force between two different substances, such as the attraction between a liquid and a solid surface.
Cohesion is the attractive force between molecules of the same substance, such as the attraction between liquid molecules.
Finally, surface tension is the property of a liquid that allows it to resist an external force, such as the surface of a liquid appearing as if it is stretched. Together, these three properties help explain the behavior of liquids, such as how they move, flow, and interact with other materials.
Although a part of your question is missing, you might be referring to this question:
Classify each statement as an example of adhesion, cohesion, or surface tension. A) Water molecules cling to the side of a beaker. B) A drop of water spilled on a table forms a drop on the table, rather than spreading out over the surface. C) Water molecules cling to plant cell wall D) A water strider runs across a pond without breaking the surface. E) Water molecules are attracted to each other F) A sewing needle floats when it is placed gently on top of water in a bucket.
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Where does the energy for the water cycle come from?
Answer: Answer below :)
Explanation:
Water & Energy Cycle
When energy from the Sun reaches the Earth, it warms the atmosphere, land, and ocean and evaporates water. The movement of water from the ocean to the atmosphere to the land and back to the ocean—the water cycle—is fueled by energy from the Sun.
Changes in the energy cycle will ripple into the water cycle. As greenhouses gases retain more energy in the Earth system, the extra energy enhances the water cycle. An enhanced water cycle means more extreme weather events, particularly floods and droughts.
A crane is used to lift a steel beam on a building site. The crane does 250 kJ of work against gravity
in order to lift the steel beam a vertical distance of 20 m. Calculate the weight of the steel beam.
The weight of the steel beam is 126.53 kg
What is gravity?Gravity is a force that attracts two objects with mass towards each other. The strength of the gravitational force between two objects depends on their masses and the distance between them.
The force of gravity is described by Newton's law of universal gravitation, which states that the force between two objects is proportional to the product of their masses and inversely proportional to the square of the distance between them.
We can use the equation
W = mgh to find the weight of the steel beam where W is workM is mass G is acceleration due to gravity H is height.W = mgh
m = W / (g * h) = 250 kJ / (9.8 m/s^2 * 20 m) = 126.53 kg
Therefore, The weight of the steel beam is 126.53 kg.
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What do sound energy and thermal energy have in common?
Answer: Answer below :)
Explanation:
What do sound energy, radiant energy, and thermal energy all have in common? answer choices They're all forms of kinetic energy
What is probability sampling Mcq?.
Probability sampling is a method of selecting a sample from a population in which each member of the population has a known, non-zero probability of being selected for the sample.
This means that every individual in the population has an equal chance of being selected for the sample. The purpose of probability sampling is to ensure that the sample is representative of the population from which it is drawn, and that the results of the study are used for generalization.
Random sampling is one of the examples. Simple random sampling, each member of the population has an equal probability of being selected for the sample. For example, if you wanted to conduct a survey of 100 people to determine their opinions on a certain topic, you could use simple random sampling to select 100 people from a list of all eligible participants. You would randomly select 100 names from the list and survey those individuals.
Another example is stratified sampling. In stratified sampling, the population is divided into subgroups, or strata, and a random sample is taken from each stratum. This can be useful if the population is heterogeneous, and you want to ensure that the sample is representative of different subgroups within the population. For example, if you wanted to survey the opinions of men and women on a certain topic, you could divide the population into two strata (men and women) and take a random sample of 50 men and 50 women.
Probability sampling is important because it allows for generalization of findings to the population, and it allows for estimation of sampling error.
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A worker moves a table, sliding it across the level floor a distance of 3.0 m using a force of 45 N. Calculate the work done by the worker.
Answer:
135 J
Explanation:
Let's take a look at the formula for Work, W=Fd, F being force (N) and d being distance (m). We are given the force and distance so plugging it into the formula, W=45N(3.0m), we get 135 J of work.
Hope this helps!
a hot-air balloon takes off from the ground traveling vertically with a constant upward acceleration of magnitude g/4. after time interval δt, a crew member releases a ballast sandbag from the basket attached to the balloon. How many second does it take the sndbag to reach the ground
The sandbag takes 0.306 seconds to reach the ground.
To determine the time it takes for the sandbag to reach the ground, we can use the equations of motion:
y = vₒt + (1/2)at²
Where y is the final vertical displacement, vₒ is the initial velocity, t is the time, and a is the acceleration. Since the sandbag is being released from rest, the initial velocity is zero.
y = (1/2)gt²
where g is the acceleration due to gravity, which is approximately 9.8 m/s²
Now we know the acceleration of the hot air balloon is g/4, and we know that the acceleration of the sandbag is g once it is released from the hot air balloon.
We need to find the time when the vertical displacement of the sandbag is the same as the altitude of the hot-air balloon at the time of release.
y = (1/2)(g/4)t² = (1/2)gt²
we can set the two equations equal to each other.
(1/2)(g/4)t² = (1/2)gt²
then we can solve for t
t = (2 * g/4 ) / g = 2/g = 2/9.8 = 0.204 seconds = 0.204 * 1.5 = 0.306 seconds
So the sandbag takes 1.5 seconds to reach the ground.
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The plates of a parallel-plate capacitor are connected to a battery. if the distance between the plates is halved, the energy of the capacitor
A. Increases by a factor of 4.
B. Doubles.
C. Remains the same.
D. Is halved.
E. Decreases by a factor of 4.
As 'd' becomes doubled in the parallel-plate capacitor are connected to a battery, energy decreases by the factor of 2.
The energy stored in a parallel plate capacitor is given by the following formula:
[tex]U=\frac{1}{2} CV^{2}[/tex]
[tex]C= \frac{A}{d}[/tex]∈
then,
[tex]U= \frac{1}{2} \frac{A}{d} V^{2}[/tex] ----- (1)
As it can be seen from the equation (1) that energy is inversely proportional to the separation between the plates. 'D' becomes doubled, and energy decreases by the factor of 2.
Energy stored in a capacitor can be expressed as the following:
E = (1/2)CV^2 .....1
We must know that the capacitance of a capacitor is inversely proportional to the distance between the two plates.
C = kA/d ....2
Whenever the value d doubles, and every other determinant of capacitance remains the same, the value of capacitance is halved.
Cf = kA/2d = C/2
Cf = C/2
Potential difference remains the same, the energy stored would also be halved since the energy stored in the capacitor is directly proportional to the capacitance.
Ef = (1/2)(Cf)V^2
Ef = (1/2)(C/2)V^2 = [(1/2)CV^2]/2
Ef = E/2
Where;
E is the initial energy stored in the capacitor respectively
Ef is the final energy stored in the capacitor respectively
C is the initial capacitance of the capacitor.
Cf is the final capacitance of the capacitor.
d is the distance between the plates
A is the area of plates
k is the permittivity of dielectrics
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12. An organ pipe that is 1. 75 m long and open at both ends produces sound of
frequency 303 Hz when resonating in its second overtone. What is the speed of
sound in the room?
295 m/s
328 m/s
354 m/s
389 m/s
401 m/s
The speed of sound in the room is 354 m/s. The result is obtained by using the formula for frequency in an open organ pipe.
What is organ pipe?An organ pipe is an element that produces sound resonating at a specific pitch when pressurized air is exerted through it.
There are two kinds of organ pipe. They are
Closed organ pipe, in which one end is closed and another end is opened.Open organ pipe, in which both ends are opened.The frequency of an open organ pipe can be calculated by
fₙ = v / λ
fₙ = (n + 1)v / 2L
Where
fₙ = frequency of n-harmonic (Hz)v = velocity of sound (m/s)λ = wavelength of sound (m)n = 0, 1, 2, 3, ... L = length of organ pipe (m)Note:
f₀ = fundamental frequencyf₁ = 1st-harmonic frequencyAn organ pipe in which open at both ends produces sound.
Length of organ pipe, L = 1.75 mFrequency of second overtone, f₂ = 303Find the speed of sound in the room!
The frequency of second overtone means frequency of the second-harmonic. So, n = 2.
Using the formula above, the speed of sound is
fₙ = (n + 1)v / 2L
f₂ = (2 + 1)v / 2(1.75)
303 = 3v/3.5
3v = 303 × 3.5
3v = 1060.5
v = 353.5
v ≈ 354 m/s
Hence, in the room of the open organ pipe, the speed of sound is 354 m/s. The correct answer is (c).
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What is calculated by multiplying force and time?.
Answer:
Therefore, the force multiplied by time is equal to the change in the momentum of the object. This quantity is known as impulse delivered by the force.
Explanation:
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How long does a Ferris wheel go around?.
The longest Ferris wheel go around is 48 hours, 8 minutes and 25 seconds. This is recorded by Guinness World Records that break by An employee of Chicago's Navy Pier. The normal trip took around 15-20 minutes in three or four round where each round took 3 minutes.
What is Ferris wheel?A Ferris wheel or a Giant Wheel or an observation wheel define as an amusement ride that made of a rotating upright wheel which has multiple passenger-carrying instrument that normally called as passenger cars, gondolas, capsules, cabins, tubs, or pods attached to the rim in such a way that as the wheel turns, they are usually stay upright by gravity.
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(part 1 of 2)
The planet Mars requires 2.46 years to orbit
the sun, which has a mass of 1.989 × 10^30 kg,
in an almost circular trajectory.
Find the radius of the orbit of Mars as it
circles the sun. The gravitational constant is
6.672 × 10-¹¹ N. m²/kg².
Answer in units of m. Answer in units of
m.
(part 2 of 2)
Find the orbital speed of Mars as it circles the
sun.
Answer in units of m/s. Answer in units of
m/s.
To find the radius of the orbit of Mars, we can use the equation T^2 = (4π^2 / G(M)) * r^3, where T is the orbital period, G is the gravitational constant, M is the mass of the sun, and r is the orbital radius.
Plugging in the given values:
(2.46 years)^2 = (4π^2 / 6.672 * 10^-11 Nm^2/kg^2) * r^3
r = ((2.46 years)^2 * (6.672 * 10^-11 Nm^2/kg^2)) / (4π^2) * (1.989 * 10^30 kg)^(1/3)
To find the orbital speed of Mars, we can use the equation v = 2πr / T, where v is the orbital speed, r is the orbital radius, and T is the orbital period.
Plugging in the given values:
v = 2π * r / (2.46 years)
Note: You should convert 2.46 years to seconds using year to seconds conversion factor.
who discovered cosmic microwave background radiation?
Answer: Robert Wilson and Arno Penzias
Explanation:
What is ballistic examples?.
A ballistic issue is when a projectile moves unevenly through a resistant material, such as air. Any missile, spacecraft, or aero plane are all considered "rockets," as are certain other objects.
Ballistics is a branch of mechanics that studies the projectile's launch, flight, behaviour, and effects. the art or science of making and accelerating projectiles to achieve a desired performance, especially projectiles like bullets, unguided bombs, rockets, or the like. Cartridges are made utilising the ballistics scientific theory by a weapons engineer or armourer, commonly known as a "ballistician." Any rocket-powered missile, spacecraft, aeroplane, or other type of vehicle is referred to as a "rocket." The word "ballistics" comes from a Greek verb that means "to toss."
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What happens to the value of potential energy and kinetic energy as the coaster is moving throughout the entire coaster ride do not consider air resistance or friction?.
As the roller coaster is moving throughout the whole coaster ride ignoring air resistance or friction, then the value of potential energy is highest at the top point and the value of kinetic energy is maximum at the bottom point.
Air resistance can affect a roller coaster as it is in the air, and it provides a force that is countering the movement of the roller coaster. However, with no air resistance, the roller coaster has a maximum quantity of potential energy and no kinetic energy at the top. As the roller coaster begins moving down to the bottom, its gravitational potential energy starts decreasing and the kinetic energy starts increasing. And at the bottom, kinetic energy is highest while there is no potential energy.
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What happens to the kinetic energy of the train of a roller coaster as it moves upwards?.
When a train of a roller coaster moves upwards, the kinetic energy is getting lower. This conclusion is from the principle of conservation of energy.
What is principle of conservation of energy?The principle of conservation of energy states that "The total energy is neither increased nor decreased in any process. Energy can be transformed from one form to another, and transferred from one object to another, but the total amount remains constant."
In the same way, the Conservation of Mechanical Energy states that the total mechanical energy of a system is conserved. It can be expressed as
E₁ = E₂
KE₁ + U₁ = KE₂ + U₂
½mv₁ + mgh₁ = ½mv₂ + mgh₂
Where
E = mechanical energyKE = kinetic energyU = potential energym = mass of an objectv = speed of objecth = height of objectThe index 1 and 2 shows at point 1 and 2.
Suppose that a train of a roller coaster moves from point 1 at the lowest point and it moves upwards to point 2, at a higher point. When the train moves upwards,
The height of train is getting higher, h₂ > h₁.The speed of the train is decreasing, v₂ < v₁.So, the kinetic energy at point 2 would be
½mv₂ < ½mv₁
It would be lower than the kinetic energy at point 1.
Otherwise the potential energy is getting higher as the height is getting higher.
Thus, the kinetic energy when a train of a roller coaster moves upwards is getting lower.
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