What statement describes the kinetic energy of a particle?

Answer 1

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).

Answer 2

kinetic energy is the energy that a particle has obtained due to its motion.It mainly depends upon the mass of the body and its velocity.

kinetic energy is mathematically calculated as (0.5 x mass of the body x square of its velocity)

Answer 3

The Total "kinetic" energy of a particle is the same as the total Potential energy. Kinetic energy is the same as the potential energy, both are scaler energy or Potenttial energy = vh/r = vp= mv2.

The real Particle "motion" energy is vector energy cmV = cP, the Momentum energy. The Total Particle energy is Quaternion energy W = -vh/r + cmV = -vh/r + cP = [-vh/r, cP].