Electromagnetic radiation is emitted by accelerating charges. The rate at which energy is emitted from an accelerating charge that has charge q and acceleration a is given by dE dt = q2a2 6pP0c3 where c is the speed of light. (a) Verify that this equation is dimensionally correct. (b) If a proton with a kinetic energy of 6.0 MeV is traveling in a particle accelerator in a circular orbit of radius 0.750 m, what fraction of its energy does it radiate per second? (c) Consider an electron orbiting with the same speed and radius. What fraction of its energy does it radiate per second?

Answers

Answer 1

Answer:

a)  \(\frac{dE}{dt}=\frac{q^2a^2}{4\pi E_0C^3}\)

b)  \(x=\frac{6.0}{4.3*10^{-32}}\)

c) \(x'=\frac{6.0}{2.22*10^{-3}}\)

Explanation:

From the question we are told that:

Kinetic energy of Proton\(K.E_p= 6.0 MeV\)

Radius \(r=0.750\)

Energy \(\frac{dE}{dt}=\frac{q^2a^2}{4\pi E_0C^3}\)

a)

\(\frac{dE}{dt}=\frac{q^2a^2}{4\pi E_0C^3}\)

b)

Generally the equation for acceleration of proton is mathematically given by

\(a_p=\frac{v^2}{r}\)

Where

Speed of Proton particle is

\(V_p=2.12 *10^3 m/s\)

\(a_p=\frac{(2.12 *10^3)^2}{0.750}\\a_p=1.27*10^{10}m/s^2\)

Therefore

\(\frac{dE}{dt}=\frac{q^2a^2}{4\pi E_0C^3}\)

\(\frac{dE}{dt}=\frac{9*10^9*(1.6*10^{-19}^2*(1.27*10^{10})^2)}{(3*10^8)^3}\)

\(\frac{dE}{dt}=6.881810^{-51}J/s\)

Energy radiated per sec

\(mev=\frac{6.881810^{-51}}{1.6*10^{-19}}\\mev=4.3*10^{-32}ev\)

Therefore the Fraction of its energy  it radiates per second is given as

\(x=\frac{ K.E_p}{mev}\\\)

\(x=\frac{6.0}{4.3*10^{-32}}\)

c)

Generally the equation for acceleration of proton is mathematically given by

\(a_p=\frac{v^2}{r}\)

Where

Speed of Proton particle is

\(V_p=2.5 *10^7 m/s\)

\(a_p=\frac{(2.5 *10^7)^2}{0.750}\\a_p=0.33*10^{14}m/s^2\)

Therefore

\(\frac{dE}{dt}=\frac{q^2a^2}{4\pi E_0C^3}\)

\(\frac{dE}{dt}=\frac{9*10^9*(1.6*10^{-19}^2*(0.33*10^{14})^2)}{(3*10^8)^3}\)

\(\frac{dE}{dt}=59.26^{-25}J/s\)

Energy radiated per sec

\(mev=\frac{59.26^{-25}}{1.6*10^{-19}}\\mev=2.22*10^{-3}ev\)

Therefore the Fraction of its energy  it radiates per second is given as

\(x'=\frac{ K.E_p}{mev}\\\)

\(x'=\frac{6.0}{2.22*10^{-3}}\)


Related Questions

Is air in a balloon solid or gas?

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gas is the answer for this question

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A driver sets out on a journey. For the first half of the distance she drives at the leisurely pace of 20 mi/h; she drives the second half at 80 mi/h. What is her average speed on this trip?.

Answers

A motorist sets off on a voyage, covering the first half of the distance at a leisurely 20 mph and the second half at an 80 mph, giving her an average speed of 40 m/hr.

What is the average speed of an object?

The rate at which a specific distance changes with respect to time is known as the average speed of a moving item. It is the product of the object's total distance traveled and the time required to cover that amount.

For the purposes of this problem, we must suppose that the total distance traveled was 120 miles.

Therefore, it would take two hours to go the first 60 miles at a speed of 30 miles per hour.

At a speed of 60 miles per hour, the remaining 60 miles take an hour to complete. The average speed is then determined as follows:

Total distance x Total Time = Average Speed

Average speed = \(\frac{120 miles}{2hr} + 1hr\)

Average speed = 40 m/hr

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What two things form ionic bonds

Answers

Answer:

ionic bonds are formed between cations and anions

Explanation:

A cation is formed when a metal ion loses a valence electron while an anion is formed when a non-metal gains a valence electron. They both achieve a more stable electronic configuration through this exchange.

2. best electric whishes to construct a new coal-fired plant in the southwest corner of michigan. best plans to use the best available technology for the scrubbers on the plant to reduce emissions. should best be able to obtain a permit from the epa to build and operate the proposed new electric plant? please briefly discuss the issues best faces for the proposed plant.

Answers

Best electric will be able to obtain a permit from the epa to build and operate the proposed new electric plant but on certain conditions.

Electricity is a powerful thing. In order to use its benefits, it is necessary that the amount of electricity in the grid corresponds with actual consumption needs. Due to the ever-increasing demand and growth in popularity of such advances as electric vehicles, there are several challenges power grid operators need to face.

Growing amount of renewable energy sources Electricity transmission losses Frequent power outages Electromobility Grid modernization Threat of cyber attacks Threat of terrorist attacks

The power sector is facing new and increasing challenges, like many other sectors, but it is also finding more innovative ways to overcome these hurdles. Overall, shoring up operations through digitization can help plant managers not only increase flexibility, but also win talent, prevent future threats, and—hopefully—rest easy at night.

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Determine time taken for temperature to fall from 65 to 55

Answers

The time taken for temperature to fall from  45°C to 35°C is 6.21 minutes when a liquid cools from 65°C to 55°C in 5 mins.

We can utilize Newton's Law of Cooling to tackle this issue. It expresses that the pace of progress of temperature of an article is corresponding to the distinction in temperature between the item and its environmental elements.

Utilizing this regulation, we can compose:

(dT/dt) = - k(T - Ts)

where dT/dt is the pace of progress of temperature, k is the cooling steady, T is the temperature of the fluid, and Ts is the temperature of the environmental elements.

To begin with, how about we track down the cooling steady. From the given data, we know that the fluid cools from 65°C to 55°C in 5 mins. Subsequently, we can compose:

-10 = - k(65 - 35)

k = 0.5

Presently, we can utilize this worth of k to make the opportunity taken for temperature to decrease from 45°C to 35°C. We want to tackle:

(dT/dt) = - 0.5(T - 35)

with introductory condition T(0) = 45.

Isolating factors and coordinating the two sides, we get:

ln|T - 35| = - 0.5t + C

Utilizing the underlying condition T(0) = 45, we get:

ln|10| = C

C = 2.303

Subbing this worth of C, we get:

ln|T - 35| = - 0.5t + 2.303

Taking dramatic on the two sides, we get:

|T - 35| = e^(- 0.5t+2.303)

Settling for T = 35°C, we get:

t = 6.21 minutes.

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The complete question is:

A liquid cools from 65°C to 55°C in 5 mins. If the surrounding temperature is 35℃, calculate the time taken for temperature to fall from 45°C to 35°C.

Which competition is the “ most important soccer competition in the world “ ?

a - National championship

b - World Cup

c - olympics

Answers

It would be B. The World Cup

Hope this helps

Have a great day/night

What is the standard mesurement unit of force A joule B Newton C degrees D meters

Answers

Answer:

B,Newton

Explanation:

I hope it helps

A cannon ball is launched from the edge of a cliff that is 6 m above the ground. It has a
horizontal velocity of 10.2 m/s. It takes 3.7 s for the cannonball to reach the ground.
How far from the cliff does it land?
Record your answer to the nearest hundredth.

Answers

Answer:

Sh = Vh t         horizontal distance traveled

Sh = 10.2 m/s * 3.7 s = 37.74 m

What is the wavelength in nanometers of light when the energy is 3. 29 × 10-19 j for a single photon?.

Answers

The wavelength is 6.04 nm.

since

λ=hc/E

λ=6.626×10^ −34×3×10 ^8/(3.29×10−19)

λ=6.04nm

The distance between identical points (adjacent crests) in adjacent cycles of a waveform signal carried in space or down a wire is defined as the wavelength. This length is often defined in wireless systems in meters (m), centimeters (cm), or millimeters (mm) (mm).

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If it requires E joules of energy to raise a mass from the surface of the Earth to an altitude of 6,000 km above the Earth, how much energy is required to raise it from the surface to an altitude of 12,000 km?​

Answers

Answer:

To raise the mass to an altitude of 12,000 Km 2E joules are required.

Explanation:

Gravitational Potential Energy

It's the energy stored in an object because of its vertical position or height in a gravitational field.

It can be calculated with the equation:

U=m.g.h

Where:

m = mass of the object

h  = height with respect to a fixed reference

g  = acceleration of gravity, or \(9.8 m/s^2\).

If a mass has a height h1, its potential energy is

\(U_1=m.g.h_1\)

If a mass has a height h2, its potential energy is

\(U_2=m.g.h_2\)

The ratio of both potential energies is:

\(\displaystyle \frac{U_2}{U_1}=\frac{m.g.h_2}{m.g.h_1}\)

Simplifying:

\(\displaystyle \frac{U_2}{U_1}=\frac{h_2}{h_1}\)

Solving for U2:

\(\displaystyle U_2=U_1.\frac{h_2}{h_1}\)

Since U1=E:

\(\displaystyle U_2=E.\frac{12,000~Km}{6,000~Km}\)

\(U_2 = 2E\)

To raise the mass to an altitude of 12,000 Km 2E joules are required.

What scientist was responsible for the modern periodic table we study today?

Answers

The scientist responsible for the modern periodic table that we study today is Dmitri Mendeleev. Mendeleev was a Russian chemist who lived in the 19th century. He is often credited as the creator of the periodic table because of his significant contributions to its development.

In the mid-1860s, Mendeleev was working on organizing the known elements based on their chemical properties. He noticed that there was a recurring pattern in the properties of the elements when they were arranged in order of increasing atomic mass. Mendeleev proposed that these elements could be arranged in a table format, where elements with similar properties would fall into the same groups or columns.

Mendeleev's breakthrough came when he realized that there were some gaps or missing elements in his proposed table. Instead of discarding these gaps, he made a bold move and predicted the existence and properties of the yet-to-be-discovered elements. He left spaces for these elements, specifying their properties based on the patterns he observed.

What made Mendeleev's periodic table significant was that it not only organized the elements based on their atomic masses but also successfully predicted the properties of the missing elements. Over time, his predictions were proven correct when the missing elements were discovered and found to match Mendeleev's descriptions.

Mendeleev's periodic table formed the foundation for the modern periodic table that we use today. Although there have been some modifications and improvements to the table since Mendeleev's time, his work laid the groundwork for understanding the periodicity and organizing the elements based on their properties. His contributions to the field of chemistry and the development of the periodic table have had a lasting impact on our understanding of the elements and their relationships.

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To increase power, we need to

Answers

Explanation:

To increase power, it is necessary to decrease the work being done and decrease the time in which the work was completed. increase the work being done or decrease the time in which the work is completed.Ma

Answer:

If work is done faster, power is higher. If work is done slower, power is smaller. Since work is force times displacement (W=F*d), and velocity is displacement over time (v=d/t), power equals force times velocity: P = F*v. More power is seen when the system is both strong in force and fast in velocity.

Explanation:

>
CAMBRIDGE IGCSETM PHYSICS: COURSEBOOK
CONTINUED
5 The table shows Usain Bolt's split times from his world record 100 m run in
Berlin in 2009. Each split time is for a 10 m section of the 100 m distance.
The time for the first 10 m includes his reaction time of 0.146 s
before he left
his blocks.
Section / m
Time / s
50-60
60-70
70-80
80-90
90-100
1.89 0.99 0.90 0.86 0.83 0.82 0.81 0.82 0.83 0.83

>CAMBRIDGE IGCSETM PHYSICS: COURSEBOOKCONTINUED5 The table shows Usain Bolt's split times from his

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It will gain a 50 poolside

where are lighter elements fused into elements more massive than iron?

Answers

Lighter elements are fused into elements more massive than iron in the core of massive stars during stellar nucleosynthesis, specifically during supernova explosions.

Lighter elements are fused into elements more massive than iron through a process called nucleosynthesis. This process occurs in the extreme conditions found within the cores of massive stars during their late stages of evolution. The fusion reactions that lead to the formation of heavier elements require extremely high temperatures and pressures.

In the core of a massive star, hydrogen is fused into helium through the process of nuclear fusion. As the star evolves, the core becomes denser and hotter, allowing for the fusion of helium into elements like carbon and oxygen. This continues with successive fusion reactions, where heavier elements are synthesized.

However, the fusion process reaches a limit when it comes to iron. Iron has the highest binding energy per nucleon, making it energetically unfavorable to fuse iron nuclei further. Instead, in the cores of massive stars, when iron begins to accumulate, the fusion reactions cease, and the star undergoes a catastrophic event known as a supernova.

During a supernova explosion, the tremendous energy released enables the synthesis of elements more massive than iron through a rapid process called r-process nucleosynthesis. Neutrons are rapidly absorbed by atomic nuclei, creating unstable, neutron-rich isotopes that undergo radioactive decay, leading to the formation of elements higher on the periodic table.

In summary, the fusion of lighter elements into elements more massive than iron primarily occurs in the cores of massive stars and during the explosive events of supernovae.

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HELP PLS its been a day and this lesson is due today and ita already night here and i have to solve this questions or else my parent will be mad pls help me pls im despo ):

HELP PLS its been a day and this lesson is due today and ita already night here and i have to solve this

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Answer:

mind the angle that the ball is at and subtract the answer from where the goal post is. You probably know that but my brain cant function what the answer is.


Please help!!!!

A student reads that the Mid-Atlantic ridge is growing wider every year as the North American and Eurasian plates move apart. Why is the separation between the two plates of little concern?

a. the separation occurs slowly at the rate of only a few centimeters a year

b. the magnetic force acting between the two plates remains strong

c. the seafloor between the two plates continues to hold them together

d. a landmass bridges the gap that is created by the separation of the two plates

Answers

Answer:

I think its D.....

PLS ANSWER FAST WILL GIVE BRAINLEST!!!


Calculate the missing variables using the necessary formula and rules using "FORCE"

A water filled balloon with an overall mass of 1 kg undergoes an acceleration of 2m/s2. How much force is being applied to the ballon?

Answers

Answer:

2 Newtons

Explanation:

\(F = ma\)

Therefore, your mass would be 1kg and your acceleration would be 2m/s/s

Plug the numbers into the equation:

\((1kg)(2m/s/s)\)

which will equal

\(2 Newtons\)

In a moving bus, a person who is near to the engine feels very warm. The method of heat transmission from the engine to the person is through​

Answers

The method of heat transmission from engine to the person is through radiation.

What is heat ?

Heat is a form of energy which is transferred between bodies having different temperature.

Here,

The person near to the engine feels very warm in a moving bus. This is because of the heat transfer from the engine to the person. Here the two bodies, the person and engine are not in contact and also there is no other medium to transfer the heat between them. So, the heat is transferred from the engine to the person through radiation.

Hence,

The method of heat transmission from engine to the person is through radiation.

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what is the leading hypothesis for venus’s lack of water?

Answers

Answer:

Its water molecules were broken apart, and hydrogen was lost to space. What kind of gas is most affected by thermal escape? What causes the release of oxygen into Earth's atmosphere?

Explanation:

Identify the major ionic species present in an aqueous solution of FeCl3.
O Fest, ali
O Fe3+, 30-
O Fe2+ 3 CH-
O Fer. 30
Question 3

Answers

I think the answer is Fe3+

The major ionic species present in an aqueous solution of FeCl3 is Fe³⁺.

What is ion?

Conventionally, the charge of an electron is thought to be negative; this charge is equal to and opposite to the charge of a proton, which is thought to be positive. Because the total number of electrons in an ion is more than the total number of protons, the net charge of an ion is not zero.

A negatively charged ion called an anion has more electrons than protons compared to a positively charged ion called a cation. Electrostatic force causes opposite electric charges to be drawn towards one another, causing cations and anions to attract one another and easily form ionic compounds.

Hence, The major ionic species present in an aqueous solution of FeCl3 is Fe³⁺.

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what is the answer to 7Hm a dm

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Answer:

7 hectometers is 7000 decimeters

A spring with spring constant 58N/cm is stretched 4cm. How much force is it applying

Answers

Answer:

232 N

Explanation:

By Hooke's law, the force applied to a spring is proportional to the stretch of the spring, so

F = kx

Where F is the force, k is the spring constant and x is how much it is stretched.

So, replacing k by 58N/cm and x by 4 cm, we get

F = (58 N/cm)(4 cm)

F = 232 N

Therefore, the force applied is 232 N

45. On a dry day, your body can accumulate static charge from walking across a carpet or from brushing your
hair. If your body develops a charge of -15 uC (microcoulombs), how many excess electrons has it acquired?
What is their collective mass?

Answers

The body has acquired approximately 9.375 x 10^13 excess electrons. It has a collective mass of approximately 8.54 x 10^-17 kilograms.

To determine the number of excess electrons acquired, we can use the charge of a single electron, which is approximately -1.6 x 10^-19 coulombs.

Given that the body has a charge of -15 uC, we can calculate the number of excess electrons using the formula:

Number of excess electrons = (total charge) / (charge of a single electron)

Substituting the values:

Number of excess electrons = (-15 x 10^-6 C) / (-1.6 x 10^-19 C)

Calculating this, we find that the body has acquired approximately 9.375 x 10^13 excess electrons.

To find the collective mass of these electrons, we need to know the mass of a single electron, which is approximately 9.109 x 10^-31 kilograms.

The collective mass of the excess electrons can be calculated using the formula:

Collective mass = (number of excess electrons) x (mass of a single electron)

Substituting the values:

Collective mass = (9.375 x 10^13) x (9.109 x 10^-31 kg)

Calculating this, we find that the collective mass of the excess electrons is approximately 8.54 x 10^-17 kilograms.

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can i get help please

can i get help please

Answers

Answer: Binary fission

Explanation: Bacteria cells split into two using binary fission.

The gravitational pull of the Moon is much less than the
gravitational pull of Earth. An object with a mass of 50
kilograms weighs about 18 pounds on the Moon.

Which statement describes the object on Earth?

A. It would have less mass.
B. It would weigh more.
C. It would have the same weight.
D. It would have more mass.

Answers

Answer:

than what is it

Explanation:

How did the Japanese Tsunami (2011) happen and explain why it did happen?

Answers

just ask safari

Explanation:

On March 11, 2011, a magnitude 9.1 earthquake struck off the northeast coast of Honshu on the Japan Trench. A tsunami that was generated by the earthquake arrived at the coast within 30 minutes, overtopping seawalls and disabling three nuclear reactors within days.

he first right-hand rule relates which two quantities?
A.
current (thumb) to magnetic field (fingers)
B.
magnetic field (thumb) to current (fingers)
C.
current (thumb) to force (fingers)
D.
force (thumb) to current (fingers)
Reset Next

Answers

Answer: A.

current (thumb) to magnetic field (fingers)

Answer:

A. current (thumb) to magnetic field (fingers)

Explanation:

According to the Right-Hand Thumb rule, if we are holding a current- carrying straight conductor in our right hand such that the thumb points toward the direction of current, then the fingers will wrap around the conductor in the direction of the field lines of the magnetic field.

Hope it helps.

If you have any query, feel free to ask.

A 0.5kg hammer hits the head of a nail with a force of 25N. What is the force the head of the nail is doing on the hammer?

Answers

Answer:

25N

Explanation:

The force the head of the nail is doing on the hammer is 25N. This is based on the newton's third of law of motion.

It states that "action and reaction are equal but opposite in direction".

A body exerting a force of 25N on another will get a reaction force of an equal but negative magnitude of force in the opposite direction.

Astronomers have concluded that the Sun's activity varies in an 11-year cycle. Which of the following statements about this cycle is TRUE?
a. The Sun's activity cycle shows absolutely no connection to its magnetic field.
b. When sunspots are at a minimum we get the largest number of flares and prominences.
c. The number of sunspots gets larger and smaller over the course of 11 years.
d. Every 11 years sunspots completely cover the Sun making its surface much darker.

Answers

Since astronomers have concluded that the Sun's activity varies in an 11-year cycle, the statement about this cycle which is true is that: C. The number of sunspots gets larger and smaller over the course of 11 years.

What is the Sun?

In Science, the Sun can be defined as an astronomical (celestial) body that is typically found within the solar system around which planetary (astronomical) bodies orbit, and whose light shines on planet Earth to differentiate day and night.

Based on astronomical records and information, we can reasonably infer and logically deduce that all of the activities which are associated with the Sun generally varies in an 11-year cycle, and this makes the number of sunspots to both get smaller and larger within a period of eleven (11) years.

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A student investigates the efficiency of a scale model of an electricity generating wind turbine using the equipment in figure 1.
the student changed the number of sales on the turbine and measures the power output from the turbine's generator. the air blower is supplied with 533w and has efficiency of 0.62.
when using two sails, the efficiency of turbine was 13%. calculate the power generated.

Answers

Based on the efficiency of the airblower of 62%, power generated by the airblower is 330.5 W.

What is efficiency of a machine?

Efficiency of a machine is a ratio of the work output and the work input of a machine.

Efficiency = work output/work input × 100%

The power generated by the airblower = ?

Power input to th air blower = 533 W

Efficiency = 0.62 or 62 %

Power generated by the airblower = Efficiency × work input/100

Power generated by the airblower = 62 × 533/100 = 330.5 W

Therefore, the power generated by the airblower is 330.5 W.

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