Examples of kinetic in the following topics:

 The rotational kinetic energy is the kinetic energy due to the rotation of an object and is part of its total kinetic energy.
 Rotational kinetic energy is the kinetic energy due to the rotation of an object and is part of its total kinetic energy .
 Therefore, it has a rotational kinetic energy of 2.138×1029 J.
 Things that roll without slipping have some fraction of their energy as translational kinetic and the remainder as rotational kinetic.
 Express the rotational kinetic energy as a function of the angular velocity and the moment of inertia, and relate it to the total kinetic energy

 The kinetic theory of gases describes a gas as a large number of small particles (atoms and molecules) in constant, random motion.
 Also, the temperature of an ideal monatomic gas is a measure of the average kinetic energy of its atoms, as illustrated in .
 The kinetic theory of gases uses the model of the ideal gas to relate temperature to the average translational kinetic energy of the molecules in a container of gas in thermodynamic equilibrium .
 Classical mechanics defines the translational kinetic energy of a gas molecule as follows:
 In kinetic theory, the temperature of a classical ideal gas is related to its average kinetic energy per degree of freedom Ek via the equation:

 The classical kinetic energy of an object is related to its momentum by the equation:
 Since the kinetic energy of an object is related to its momentum, we intuitively know that the relativistic expression for kinetic energy will also be different from its classical counterpart.
 Indeed, the relativistic expression for kinetic energy is:
 The general expression for the kinetic energy of an object that is not at rest is:
 At a low speed ($v << c$), the relativistic kinetic energy may be approximated well by the classical kinetic energy.

 The workenergy theorem states that the work done by all forces acting on a particle equals the change in the particle's kinetic energy.
 The principle of work and kinetic energy (also known as the workenergy theorem) states that the work done by the sum of all forces acting on a particle equals the change in the kinetic energy of the particle.
 This definition can be extended to rigid bodies by defining the work of the torque and rotational kinetic energy.
 The work W done by the net force on a particle equals the change in the particle's kinetic energy KE:
 The kinetic energy of the block increases as a result by the amount of work.

 This work went into heat, light, sound, vibration, and considerable rotational kinetic energy.
 Kinetic energy (K.E.) in rotational motion is related to moment of rotational inertia (I) and angular velocity (ω):
 The final rotational kinetic energy equals the work done by the torque:
 This confirms that the work done went into rotational kinetic energy.
 The motor works in spinning the grindstone, giving it rotational kinetic energy.

 If two systems are in contact and moving relative to one another, then the friction between them is called kinetic friction.
 When surfaces in contact move relative to each other, the friction between the two surfaces converts kinetic energy into heat.
 Kinetic energy is converted to heat whenever motion with friction occurs, for example when a viscous fluid is stirred.
 Kinetic (or dynamic) friction occurs when two objects are moving relative to each other and rub together; a sled on the ground would be a good example of kinetic friction.
 The coefficient of kinetic friction is typically represented as $\mu_k$ and is usually less than the coefficient of static friction for the same materials.

 In an inelastic collision the total kinetic energy after the collision is not equal to the total kinetic energy before the collision.
 This is in contrast to an elastic collision in which conservation of total kinetic energy applies.
 While inelastic collisions may not conserve total kinetic energy, they do conserve total momentum.
 A perfectly inelastic collision happens when the maximum amount of kinetic energy in a system is lost.
 The kinetic energy is used on the bonding energy of the two bodies.

 The internal energy of a system is the sum of all kinetic and potential energy in a system.
 Internal energy has two components: kinetic energy and potential energy.
 The kinetic energy consists of all the energy involving the motions of the particles constituting the system, including translation, vibration, and rotation.
 The kinetic energy portion of internal energy gives rise to the temperature of the system.
 Express the internal energy in terms of kinetic and potential energy

 Internal energy has two major components: kinetic energy and potential energy.
 The kinetic energy is due to the motion of the system's particles (e.g., translations, rotations, vibrations).
 Therefore, we will disregard potential energy and only focus on the kinetic energy contribution to the internal energy.
 In this case, the kinetic energy consists only of the translational energy of the individual atoms.
 The average kinetic energy (KE) of a particle in an ideal gas is given as:

 While inelastic collisions may not conserve total kinetic energy, they do conserve total momentum.
 It is still true that the total kinetic energy after the collision is not equal to the total kinetic energy before the collision.
 While inelastic collisions may not conserve total kinetic energy, they do conserve total momentum .
 We can now calculate the initial and final kinetic energy of the system to see if it the same.