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In Newtonian physics, the kinetic energy ENewtonian of a body with mass m moving with velocity v is given by the equation
ENewtonian = (1/2)mv2.
In special relativity, the relationship is instead given by
Erelativistic = mc2 / (1 - (v/c)2)1/2,
where m now denotes the rest mass of the particle and c is the speed of light. Note that this diverges as vapproaches c, so that it takes an infinite amount of work to accelerate a body of non-zero rest mass to the speed of light.
Since v < c, the relativistic formula can be expanded in a power series like so:
Erelativistic = mc2 (1 + (1/2)(v/c)2 + ...),
where the ellipsis "..." denotes terms of order (v/c)4 and smaller. If the velocity is small compared to the speed of light the higher order terms may be neglected, giving
Erelativistic = mc2 + (1/2)mv2,
which is just mc2 + ENewtonian. The term mc2 is sometimes called the rest energy of the body, being the (relativistic) kinetic energy of the particle when v = 0.
In some relativity textbooks, the "relativistic mass" of the body is sometimes defined as Erelativistic / c2, giving a "mass" which increases with velocity (becoming infinite as v approaches c).
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What is kinetic energy plus particle attraction called?
Kinetic energy plus particle attraction is commonly referred to as potential energy. Kinetic energy is associated with motion, while particle attraction, such as gravitational or electrostatic forces, contributes to the potential energy of a system.
What is the definition of kinetic energy of a particle?
The kinetic energy of a particle is the energy that a particle possesses due to its motion. It is calculated as one-half the mass of the particle multiplied by the square of its velocity. Mathematically, it can be represented as KE = 0.5 * m * v^2, where KE is the kinetic energy, m is the mass of the particle, and v is its velocity.
What is the total amount of kinetic energy in the particles of an object?
The total amount of kinetic energy in the particles of an object is the sum of the kinetic energy of each individual particle. The kinetic energy of a single particle is given by the equation KE = 0.5 * m * v^2, where m is the mass of the particle and v is its velocity.
What is the total penitential energy and kinetic energy of the particles in an object?
The total penitential energy of the particles in an object is the sum of the gravitational potential energy of each particle. The kinetic energy of the particles in an object is the sum of the kinetic energy of each particle. The total energy of the particles is the sum of the penitential and kinetic energy.
What happens to the kinetic energy of particle when thermal energy is removed?
When thermal energy is removed from a particle, its kinetic energy decreases since thermal energy contributes to the overall kinetic energy of particles in a substance. As thermal energy is reduced, the particles move more slowly, resulting in a decrease in their kinetic energy.
The kinetic energy of a substance the kinetic energy of its particle 7 letters?
Average
What is kinetic energy plus particle attraction called?
Kinetic energy plus particle attraction is commonly referred to as potential energy. Kinetic energy is associated with motion, while particle attraction, such as gravitational or electrostatic forces, contributes to the potential energy of a system.
What is the definition of kinetic energy of a particle?
The kinetic energy of a particle is the energy that a particle possesses due to its motion. It is calculated as one-half the mass of the particle multiplied by the square of its velocity. Mathematically, it can be represented as KE = 0.5 * m * v^2, where KE is the kinetic energy, m is the mass of the particle, and v is its velocity.
What is the name of the transfer of particle energy?
Kinetic energy
What happens to the energy of a particle if the mass is constant and the speed increases?
The kinetic energy of the particle increases as the speed increases, following the equation ( KE = \frac{1}{2} mv^2 ) where ( KE ) is the kinetic energy, ( m ) is the mass of the particle, and ( v ) is the speed of the particle. The energy of the particle is converted to kinetic energy as its speed increases.
How does the speed of particle affect its kinetic energy?
The higher the speed the more the kinetic energy.
What is kinetic energy in simple words?
Kinetic energy is a form of energy that an object or a particle has by reason of its motion.
What is the total amount of kinetic energy in the particles of an object?
The total amount of kinetic energy in the particles of an object is the sum of the kinetic energy of each individual particle. The kinetic energy of a single particle is given by the equation KE = 0.5 * m * v^2, where m is the mass of the particle and v is its velocity.
Is it true that slow-moving objects have more kinetic energy then fast moving objects?
Faster particles have more energy than slower particles, yes.
What is the total penitential energy and kinetic energy of the particles in an object?
The total penitential energy of the particles in an object is the sum of the gravitational potential energy of each particle. The kinetic energy of the particles in an object is the sum of the kinetic energy of each particle. The total energy of the particles is the sum of the penitential and kinetic energy.
What happens to the kinetic energy of particle when thermal energy is removed?
When thermal energy is removed from a particle, its kinetic energy decreases since thermal energy contributes to the overall kinetic energy of particles in a substance. As thermal energy is reduced, the particles move more slowly, resulting in a decrease in their kinetic energy.
What is the kinetic energy per particle?
Kinetic energy per particle is the energy an individual particle possesses due to its motion. It is calculated using the equation KE = 0.5 * m * v^2, where m is the mass of the particle and v is its velocity.
