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AP Physics 2: Algebra-Based
Unit 15: Modern Physics
15.4 Mass-Energy Equivalence
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Cards (51)
What is Einstein's famous equation that describes mass-energy equivalence?
E=mc²
Einstein's formula indicates that a small amount of mass can convert into a significant amount of
energy
What is the equation to calculate the speed of light in terms of energy and mass?
c = \sqrt{\frac{E}{m}}</latex>
The equation m = E / c² is used to calculate mass in terms of energy and the speed of
light
.
True
What is the unit for the speed of light in Einstein's equation E=mc²?
m/s
Match the concept with its corresponding symbol and equation:
Mass ↔️ m ||| m = E / c²
Energy ↔️ E ||| E = mc²
Speed of Light ↔️ c |||
c
=
c =
c
=
E
m
\sqrt{\frac{E}{m}}
m
E
The equation E=mc² implies that a small amount of mass can be converted into a significant amount of energy.
True
In Einstein's equation, E=mc², the speed of light squared (c²) acts as a
conversion
factor between mass and energy.
What is the first step in using E=mc² to convert mass to energy?
Identify known quantities
Steps to convert between mass and energy using E=mc²:
1️⃣ Identify known quantities
2️⃣ Substitute values into the equation
3️⃣ Calculate either E or m
In E=mc², the speed of light is approximately
3 x 10⁸
m/s.
What is the approximate value of the speed of light (c) in meters per second?
3 x 10⁸ m/s
In the equation c = √(E/m), the unit for the speed of light is
m/s
In Einstein's equation E=mc², the unit for energy is
joules
What is the approximate value of the speed of light in a vacuum?
3 x 10⁸ m/s
Match the application area with its implication of mass-energy equivalence:
Nuclear Reactions ↔️ Release of vast energy
Particle Physics ↔️ Particle creation and annihilation
Energy Generation ↔️ Energy production from minimal mass
The speed of light acts as a crucial conversion factor between mass and energy in Einstein's equation.
True
The speed of light is approximately
3 x 10⁸ m/s
What does 'c' represent in Einstein's equation E=mc²?
Speed of light
In Einstein's equation E=mc², 'm' represents the
mass
The principle of mass-energy equivalence is fundamental to understanding nuclear reactions and
particle physics
The equation E=mc² can be rearranged to solve for
energy
as E = mc².
True
The approximate value of the speed of light is 3 x 10⁸
m/s
What is the concept of mass-energy equivalence described by Einstein's formula, E=mc²?
Mass and energy are interchangeable
Match the concept with its symbol and representation:
Energy ↔️ E: The energy of an object
Mass ↔️ m: The mass of the object
Speed of Light ↔️ c: Approximately 3 x 10⁸ m/s
The mass-energy equivalence principle has no applications in particle physics.
False
In Einstein's equation, energy (E) is measured in
joules
.
Match the variable with its equation:
Mass ↔️ m = E / c²
Energy ↔️ E = mc²
Speed of Light ↔️ c = √(E/m)
Mass-energy equivalence is a fundamental principle in nuclear reactions and
particle physics
.
True
In the equation m = E / c², the unit for mass is
kilograms
Mass-energy equivalence is fundamental in nuclear reactions and
particle physics
.
True
Match the variable with its representation in E=mc²:
E ↔️ Energy of an object
m ↔️ Mass of the object
c ↔️ Speed of light
In the equation E=mc², c² serves as the conversion factor between mass and
energy
What is the equation for energy (E) in Einstein's theory using mass (m) and the speed of light (c)?
E = mc²
Name three real-world applications of mass-energy equivalence.
Nuclear power, medical imaging, particle physics
Mass and energy are interchangeable according to
Einstein's
theory of mass-energy equivalence.
True
The equation E=mc² can be rearranged to solve for mass as m = E /
c²
.
True
What is the approximate value of the speed of light in meters per second?
3 x 10⁸ m/s
What does 'm' represent in Einstein's equation E=mc²?
Mass
The speed of light squared acts as a conversion factor between mass and energy in
Einstein's
equation.
True
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