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7.4 Mass-Energy Equivalence

3 min readjune 18, 2024

Daniella Garcia-Loos

Daniella Garcia-Loos

S

Saarah Hasan


AP Physics 2 🧲

61 resources
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Mass-Energy Equivalence

In section 7.3, we went over Einstein’s mass-energy equivalence equation, E=(Δm)c^2.
Mass-energy equivalence is the concept that mass and energy are interchangeable and can be converted into each other. It is described by the famous equation E=mc^2, where E is energy, m is mass, and c is the speed of light.
Here are some key points about mass-energy equivalence:
  • Mass-energy equivalence is the concept that mass and energy are interchangeable and can be converted into each other. It is described by the famous equation E=mc^2, where E is energy, m is mass, and c is the speed of light.
  • The mass-energy equivalence equation shows that the energy of a body is equal to its mass multiplied by the speed of light squared. This means that even a small amount of mass can be converted into a large amount of energy.
  • The mass-energy equivalence equation was first proposed by Albert Einstein in his theory of relativity and was later confirmed by numerous experiments. It is a fundamental principle of physics that has been confirmed to high precision.
In 7.4, we’ll briefly go over disintegration energy.
For those who have taken chemistry, you probably already know that a general nuclear reaction is written as
A+B → C+D+Q
where Q denotes the disintegration energy. If Q is positive, the reaction is exothermic (it releases energy/heat ) and can occur spontaneously. If Q is negative, the reaction is endothermic( gains energy/heat) and can’t occur spontaneously. Q is calculated by:
Q=[(mA+mB)−(mC+mD)]c^2=(Δm)c^2
Disintegration energy is the energy required to break down a nucleus into its constituent protons and neutrons. It is a measure of the strength of the forces that hold the nucleus together.
Here are some key points about disintegration energy:
  • Disintegration energy is the energy required to break down a nucleus into its constituent protons and neutrons. It is a measure of the strength of the forces that hold the nucleus together.
  • The disintegration energy of a nucleus is equal to the energy required to separate the protons and neutrons in the nucleus. It is a measure of the stability of the nucleus.
  • The disintegration energy of a nucleus can be calculated using the equation DE = Mc^2 - M1c^2 - M2*c^2, where DE is the disintegration energy, M is the mass of the nucleus, M1 is the mass of the protons, M2 is the mass of the neutrons, and c is the speed of light.
  • The disintegration energy of a nucleus is a positive value, which means that energy is required to break the nucleus apart. It is a measure of the stability of the nucleus and is related to the binding energy of the nucleus.
Exothermic and endothermic are terms used to describe the flow of heat in chemical reactions.
Here are some key points about exothermic and endothermic reactions:
  • Exothermic reactions are chemical reactions that release heat energy to the surroundings. These reactions are accompanied by an increase in the temperature of the surroundings.
  • Endothermic reactions are chemical reactions that absorb heat energy from the surroundings. These reactions are accompanied by a decrease in the temperature of the surroundings.
  • Exothermic reactions are reactions in which the products have less energy than the reactants. The difference in energy between the reactants and products is released as heat to the surroundings.
  • Endothermic reactions are reactions in which the products have more energy than the reactants. The difference in energy between the reactants and products is absorbed from the surroundings as heat.
  • The heat absorbed or released in a chemical reaction is called the heat of reaction. The heat of reaction can be positive, negative, or zero. A positive heat of reaction indicates that heat is released to the surroundings, while a negative heat of reaction indicates that heat is absorbed from the surroundings. A zero heat of reaction indicates that no heat is exchanged with the surroundings.
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