# Relationship between momentum and kinetic energy mastering physics

### Linear momentum review (article) | Khan Academy

The Difference Between Momentum And Kinetic Energy. In physics you often hear the words "momentum" and "kinetic energy". It might be tempting to think that. Overview of key terms and equations for linear momentum, including a Science AP® Physics 1 Linear momentum and collisions Introduction to linear momentum and impulse . Some people think momentum and kinetic energy are the same. To check your understanding and work toward mastering these concepts. mastering physics assignment 4 Copyright: . of conservation of. Once you have, use the definition of translational kinetic energy to find the girl's speed . Hint 2. .. Find a relationship between momentum and kinetic energy. Select the .

Neither design can be chosen, because neither has sufficient energy to make W bosons. In this problem the student determines the quark content of particles with specific charge, baryon number, and strangeness. Assume that each particle contains only combinations of the quarks, and and the antiquarks, and.

Print View with Answers 10 of 20 https: Charges of quarks The electric charges of the three quarks, and are, respectively,where is the magnitude of the electron charge.

Note that the antiquarks will have the same charge magnitude, just with opposite sign to its corresponding quark. Baryons versus mesons Recall that hadrons are a general classification of particles that consist of quarks. They are divided into two subclasses: Since in this problem, you are looking for a quark-antiquark pair. Definition of strangeness Strangeness is a quantum number that is used to track the number of strange particles in a hadron both mesons and baryons.

### Difference Between Momentum And Kinetic Energy

If a particle has a strange quarkthen it has strangeness. If the particle has an antistrange quarkthen it has strangeness. These numbers are additive; two strange quarks in combination means a strangeness of. Print View with Answers 11 of 20 https: The United States uses 1.

Assume that all fission energy is converted into electrical energy. Assume, that all this energy came from the fission of Assume that all fission energy is converted into electrical energy.

## MasteringPhysics: Print View with Answers

Part A How many kilograms of would be used per year? Express your answer to two significant figures and include the appropriate units. Recall that only 0. Find the daughter nucleus of, energy released by, and number of beta and alpha decays involved in the Th decay chain. When the daughter nucleus produced in a radioactive decay is itself unstable, it will eventually decay and form its own daughter nucleus. If the newly formed daughter nucleus is also unstable, another decay will occur, and the process will continue until a nonradioactive nucleus is formed.

Such a series of radioactive decays is called a decay chain. A good example of a decay chain is provided bya naturally occurring isotope of thorium. Part A The first step in the decay chain of is an alpha decay. What is the daughter nucleus formed by this first decay? Print View with Answers 12 of 20 https: In alpha-particle decay, a helium nucleus consisting of two protons and two neutrons is emitted from the parent atom, leaving it with four fewer nucleons and an atomic number reduced by two.

Find the numbers of protons and neutrons in the daughter nucleus Recall that in radioactive decays the atomic number and mass number are conserved. How many protons and neutrons are there in the daughter nucleus when undergoes an alpha decay? Part B What is the energy The atomic mass of is How to approach the problem The energy released in a decay depends on the difference in mass,of the system before and after the decay. It can be calculated using the relation. You need to take into account the mass of the particle emitted in the decay when calculating the mass of the system after the decay.

Also, note that the number of electrons in the parent nucleus is the same as the number of electrons in the daughter nucleus plus the number of electrons in the alpha particle, so the electrons do not contribute to the total mass difference. Find the mass difference What is the difference in mass,of the system before and after the alpha decay? Express your answer numerically in atomic mass units to four significant digits. Atomic mass of an alpha particle The atomic mass of an alpha particle is 4.

Print View with Answers 13 of 20 https: Beta decay In a beta-minus decay, an electron as well as an antineutrino with negligible mass is emitted as a neutron is converted into a proton.

Such a decay increases the atomic number by one without changing the number of nucleons. How many alpha decays will occur during this chain process? Alpha decay In alpha-particle decay, a helium nucleus consisting of two protons and two neutrons is emitted from the parent atom, leaving it with four fewer nucleons and an atomic number reduced by two.

The equations for decay and half-life are derived, and then a simple problem in carbon dating is solved. To understand decay in terms of half-life and to solve radioactive dating problems.

Particles in a nucleus are bound by the strong force.

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A reasonable model of this binding would be a barrier potential of finite energy. Quantum mechanics allows a small, nonzero probability for a particle to "tunnel" through a potential barrier. Working with this rough model, we can say that, for a given unstable nucleus, there is a constant probability of some particle, say an alpha particle, tunneling through the barrier and being emitted as radiation.

Since this probability is constant, depending only on the particular nuclide involved, you would expect the number of decays per second to be proportional to the number of nuclei present. Since the number of decays is the same as the amount by which the total number of nuclei of the particular type being considered is reduced, you can construct the relationshipwhere is the number of nuclei at a time.

The constant of proportionality is called the decay constant. Part A Ifwhere is some constant, what is Express your answer in terms of? Thus, is the general solution to the differential equation for radioactive decay. Part B Given that at time there is a quantity of nuclei present Express your answer in terms of in other words,find the value of the constant in the equation. Print View with Answers 14 of 20 Since https: Find the time at which half of the original number of nuclei will remain.

What values to use Which of the following correctly pairs the value of and the value of that should be entered into to find the value of? The number is called the half-life of the nucleus.

Frequently, the half-life is given instead of the decay constant when discussing the decay of radioactive nuclei. If you measure the number of nuclei at any time and then wait one half-life, of the nuclei will remain.

If you wait two half-lives then will remain. If you wait three half-lives, will remain, and so on. The decay of radioactive nuclei can be used to measure the age of artifacts, fossils, and rocks. Dating an organic artifact entails looking at its carbon content. Carbon exists in three isotopic forms: Both and are stable whereas is radioactive.

To find the age of an organic artifact, first, you measure how much is found within the artifact. Then, you estimate how much would have been in it when it was first made.

You then plug these two values into the decay equation to find how old the artifact is. The quantity of originally in the artifact may be estimated fairly accurately because the percent of atmospheric carbon in the form of the isotope stays relatively constant with time.

Since plants constantly take in new carbon from atmospheric carbon dioxide, the percent of in a plant should be the same as the percent in the atmosphere, until the plant dies and stops taking in new carbon. Therefore, you can use this percent and the present quantity of total carbon in the artifact to find how much was in it when it died.

The half-life of is years. Print View with Answers 15 of 20 https: If a sample shows only one-fourth of its estimated original quantity of need to plug into it at all for this problem.

Think about half-lives; don't try to just plug into the decay equation.

## The Difference Between Momentum And Kinetic Energy

You shouldn't Express your answer in years to three significant figures. Express your answer as an integer. To solve more general carbon dating problems, you must first find the value of the decay constant for Using the given half-life, years, find the value of the decay constant for. Most problems are notso that you can easily use the decay equation. Express your answer in inverse years to three significant figures. Relating and Recall that in Part C you found the relation.

How old is the cloth? Express your answer in years to two significant figures. Radioactive dating is an important technique used by archaeologists to find the age of newly discovered items and to determine the authenticity of supposed artifacts. Food is often irradiated with either x rays or electron beams to help prevent spoilage.

Momentum vs Kinetic Energy - GCSE Physics Revision

A low dose of kilorads krad helps to reduce and kill inactive parasites, a medium dose of krad kills microorganisms and pathogens such as A low dose of kilorads dose of kills microorganisms and pathogens such as salmonella, and a high dose of refrigeration. If x rays are used, what would be the dose in? Print View with Answers 16 of 20 https: Part B What would be the dose in? The isotope undergoes decay with a half-life of Print View with Answers 17 of 20 https: Part A What is the activity of 1.

The isotope undergoes decay with a half-life of 28 years. Part A What nucleus is produced by this decay?

Part B If a nuclear power plant is contaminated with Sr, how long will it take for the radiation level to decrease to 1. Express your answer using two significant figures. Radioactive isotopes used in cancer therapy have a "shelf-life," just like pharmaceuticals used in chemotherapy.

When its activity falls below Just after it has been manufactured in a nuclear reactor, the activity of a sample of is When its activity falls belowit is considered to be too weak a source to use in treatment. You work in the radiology department of a large hospital.

One of these sources in your inventory was manufactured on October 6, It is now April 6, Part A Is the source still usable? The half-life of is 5. It has become popular for some people to have yearly whole-body scans CT scans, formerly called CAT scansusing x rays, just to see if they detect anything suspicious.

A number of medical people have recently questioned the advisability of such Print View with Answers 18 of 20 https: Typically, one such scan gives a dose of 12 applied to the whole body. By contrast, a chest x ray typically administers 0.

The energy per reaction is calculated for fission of uranium This is compared to the energy usage of the US in a year. Nuclear reactors generate power by harnessing the energy from nuclear fission. In a fission reaction, uranium absorbs a neutron, bringing it into a highly unstable state as uranium This state almost immediately breaks apart into two smaller fragments, releasing energy.

One typical reaction iswhere indicates a neutron. In this problem, assume that all fission reactions are of this kind. In fact, many different fission reactions go on inside a reactor, but all have similar reaction energies, so it is reasonable to calculate with just one.

The products of this reaction are unstable and decay shortly after fission, releasing more energy. In this problem, you will ignore the extra energy contributed by these secondary decays. You will need the following mass data: Part A What is the reaction energy of this reaction? Express your answer in millions of electron volts to three significant figures. Formula for reaction energy. One object weighs 10 kg and the other object weighs 0. Which object would inflict more damage?

### A Relation Between Momentum and Kinetic Energy? | Yahoo Answers

The intuitive response to this might be that they would both inflict an equal amount of damage given that they both have an equal amount of momentum. As it turns out, the 0. The way to understand this is to look at the mathematical representation of momentum and kinetic energy for a particle; where a particle is used as a reasonable representation for the objects. Therefore, the object weighing 0. In fact, the kinetic energy of the 0.

The kinetic energy of an object is directly proportional to how much damage it will inflict when it strikes something. But interestingly enough, it's the object weighing less that will do more damage, for a given momentum. And it is the square of the velocity in the kinetic energy equation which makes this effect possible. You can generalize this result to say that the ratio of kinetic energy of two objects having the same momentum is the inverse ratio of their masses.

This principle readily applies to firearms. When a bullet leaves a gun it has the same momentum as the gun which recoilsdue to conservation of momentum. But the bullet has much more kinetic energy than the gun. Looking at this more deeply you realize that much more of the gunpowder energy was transferred to the bullet than the gun, in the form of kinetic energy.