Particle accelerators, such as the Large Hadron Collider, use magnetic fields to steer charged particles around a ring. Consider a proton ring with 36 identical bending magnets connected by straight segments. The protons move along a 2.5-m-long circular arc as they pass through each magnet. What magnetic field strength is needed in each magnet to steer protons around the ring with a speed of 4.0 × 107 m/s? Assume that the field is uniform inside the magnet, zero outside.

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Answer 1

Each magnet must have a magnetic field that is 0.29 Tesla strong in order to propel protons around the ring at a speed of 4.0×10^7 m/s.

Are magnetic fields employed by particle accelerators?

Particle beams are directed and focussed by magnetic fields, and particle accelerators use electric fields to accelerate and enhance the energy of the beam. The protons or electrons that need to be accelerated come from the particle source.

Use of magnets in the Hadron Collider

With the removal of magnets from the accelerator tunnel during the past few weeks, significant initiatives have begun at the Large Hadron Collider (LHC). In total, the LHC has 1232 dipoles, which are magnets that bend the trajectory of the particles, and 474 quadrupoles, which squeeze the bunches.

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Related Questions

in this unit, we described how to use quadrature to find the distance from the sun to mars, and greatest elongation to find the distance from the sun to venus. which two of the following statements about these methods are wrong?

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Before the invention of the telescope, these methods, quadrature and greatest elongation, were not particularly practical. Furthermore, the greatest elongation approach would be applicable to find the distance from Sun to Mars.

In astronomy, qudrature is a position in which two celestial bodies (such as the moon and the sun) are 90 degrees apart as seen from Earth. the procedure of determining a square with an area equal to a particular area.

In astronomy, elongation is the angular distance in celestial longitude that separates the Moon or a planet from the Sun. The greatest elongation achievable for the two inferior planets (those closer to the Sun than the Earth) is roughly 48° for Venus and about 28° for Mercury.

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5. in theory, relative to the equilibrium position, where is the mass when its acceleration is at its maximum? (10 points)

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The mass is at the position of maximum displacement,  when its acceleration is at its maximum

Acceleration is the rate of change of velocity with respect to time.

Also it can be defined as the maximum capacity of a vehicle to gain speed.Its SI unit is m/sec².It can be calculated by using the three equations of motion.

According to the theories related to the equilibrium position, at the position of maximum displacement, the force is greatest and points toward the equilibrium position, the velocity (v) of the mass is zero, its acceleration is maximum, and the mass changes direction.

And therefore the mass in the extreme position will have maximum acceleration.

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a sculptor is playing absent-mindedly with a large cylindrical lump of clay on a potter's wheel. this particular wheel has wonderful balance and will turn without friction when taken out of gear. the lump of clay is a uniform cylinder of mass 35.0 kg and radius 23.0 cm ; the axis of the clay cylinder coincides with the axis of the wheel, and the rotational inertia of the wheel can be neglected in comparison with the rotational inertia of the clay cylinder. the artist decides to throw ball bearings of mass 417.0 grams at the curved side wall of the turning cylinder and to watch what happens when the bearings hit and stick. before the first throw, the cylinder is turning once every 1.50 seconds ; when looked at from above, the cylinder is turning counterclockwise, so that the direction of the angular momentum of the cylinder is up. the artist throws the first ball bearing horizontally, and it impacts the clay wall at an angle of 58.0 degrees away from the normal to the curved clay surface. once the ball bearing is stuck in the clay, the cylinder is found to be turning once every 3.10 seconds , still turning counterclockwise. consider the ball bearing to be traveling horizontally before impact; the ball bearing is traveling in a plane which is perpendicular to the axis of the clay cylinder and which contains the center of mass of the clay.

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The angular momentum of the ball bearing, approximately the middle of the clay cylinder, earlier than the effect into the wall of the cylinder is [tex]-46.1 kgm^2/s[/tex] and - indicates it is anticlockwise.

Here we have uniform cylinder of mass 35.0 kg and radius 23.0 cm:

[tex]m= 35.0 kg \\r = 0.23 cm\\T1 = 1.50 seconds\\T2 = 3.10 seconds\\π/T1 = 3.14 / 1.50 = 2.09\\π/T2 = 3.14 / 3.10 =1.012\\L + Iw1 = Iw2L+ 1/2 mR^2w1 = (1/2 MR^2 +mR^2)w^2\\= MR^2 π( 1/T2 - 1/T1)+ 2π mR^2/ T2\\ = 35(0.23 )^2(1.012-2.09) +2 (1.012 ) (417.0 ) (0.23)^2\\= 35 × 0.0529 ×(-1.07) +2×22.32\\= 35 × 0.056 +( -44.64)\\= - 46.1 kgm^2/s.[/tex]

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work through the interactive physiology 2.0 presentation on cardiac cycle. the pressure and volume curve during the cardiac cycle presented below applies to an individual with a resting heart rate of 75 bpm and a blood pressure of 120/80 mmhg . chronic hypertension (high blood pressure) is a common medical condition which has direct effects on the heart during the cardiac cycle.

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Cardiac cycle is the term used to describe a complete heartbeat of a mammalian heart, which typically consists of sequential alternating contraction and relaxation of the atria and ventricles. This action results in oxygenated blood flowing unidirectionally (in one direction) throughout the human body.

There are typically two stages to the cardiac cycle;

The ventricles are relaxed and filled with oxygenated blood during diastole.

Systole: During this stage, the muscles contract, causing oxygenated blood to be forced into the atria.

When the atrium contracts, ventricular pressure, which is produced when the cardiac cycle occurs, is normally higher than atria pressure.

Here, in graph 3,

The systolic blood pressure is 140 mmHg.

This corresponds to the aortic pressure and also the peak pressure in the ventricle during the ejection phase.

The peak ventricular pressure, aortic pressure are 140 mmHg.

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a bucket of water can be whirled in a veritcal circile without water spilling out, even at the top of the circle when the bucket is upside down. explain why this is case?

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A bucket of water can be whirled in a vertical circle without water spilling out, even at the top of the circle when the bucket is upside down, this is because there is a centrifugal force acting on the water that is away from the center and opposite to the gravitational force (mg).

A centripetal force is a force acting on an object in a curvilinear motion toward the axis of rotation or center of curvature.

If the gravitational force (mg) is greater, the water is poured out, but if the centrifugal force is greater, then water from the bucket will not spill.

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two masses are suspended by cord that passes over a pulley with negligible mass. the cord also has negligible mass. one of the masses, m1, has a mass of 5.0 kg and the other mass, m2, has a mass of 3.0 kg.

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98 N provides the system's vertical support. [tex]Fnet=Fg^{1} =Fg^{2}[/tex],

[tex]Fnet=g(m₁+m₂)[/tex][tex]Fnet=9.8(7+3), =98 N[/tex],

What is an example of mass?

The volume of matter that makes up any item or body is best referred to as its mass. All of the objects we perceive have mass. There is mass in objects like tables, chairs, beds, footballs, glasses, and even air. As a result, every object has a mass, which determines whether it is light or heavy.

What unit of mass do we use?

Scientific digital balances or beam balances, including triple beam balances, are a few examples of different sorts of balances. Grams or kilograms are the two metric benchmarks for mass that are often used. Modern digital mechanical spring scales are usually used at home to measure mass.

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1. what is the speed limit in this situation? what speed law might make driving at the posted speed limit illegal?

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Every state has a fundamental speeding rule.

According to the fundamental speed law, you must always adjust your speed to the current circumstances and any potential hazards, regardless of State statutes and/or posted speed limit signs.When the road is slick or you pass through an intersection without slowing down, a policeman might determine that you are moving too quickly for the circumstances.You should always slow down when approaching curves, the top of hills, or intersections where you can't see the entire road ahead of you.

When traveling at higher speeds, your vehicle travels a greater distance while you are responding to a problem, which reduces your margin for error.

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How do you properly hydrate?.

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A simple way to measure your fluid balance is to look at the color of your urine. If your urine is dark and has a strong odor, you are definitely dehydrated and need to increase your water intake. If your urine is completely clear, you probably drank too much.

It usually takes about two hours for the body to fully rehydrate after drinking a significant amount of water. Water is best because you need to stay hydrated. Sports drinks like Gatorade can help athletes who need to replenish their electrolytes.

Research shows that milk is one of the best drinks for hydration better than water and sports drinks. Researchers attribute its effectiveness to milk's natural electrolytes carbohydrates and proteins. can take as little as 5-15 minutes. However, if you are dehydrated with an empty bladder it can take up to 8-9 hours before you need to urinate.

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