Examples of kinetic energy 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.
 The earth's rotation is a prominent example of rotational kinetic energy.
 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 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:
 At a low speed ($v << c$), the relativistic kinetic energy may be approximated well by the classical kinetic energy.
 Thus, the total energy can be partitioned into the energy of the rest mass plus the traditional classical kinetic energy at low speeds.

 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.
 Just as in translational motion (where kinetic energy equals 1/2mv2 where m is mass and v is velocity), energy is conserved in rotational motion.
 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.

 In an inelastic collision the total kinetic energy after the collision is not equal to the total kinetic energy before the collision.
 If two objects collide, there are many ways that kinetic energy can be transformed into other forms of energy.
 For example, in the collision of macroscopic bodies, some kinetic energy is turned into vibrational energy of the constituent atoms.
 Another example in which kinetic energy is transformed into another form of energy is when the molecules of a gas or liquid collide.
 The kinetic energy is used on the bonding energy of the two bodies.

 Internal energy is the total energy contained by a thermodynamic system, and has two major components: kinetic energy and potential energy.
 Internal energy has two major components: kinetic energy and potential energy.
 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:

 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:
 The distribution of the speeds (which determine the translational kinetic energies) of the particles in a classical ideal gas is called the MaxwellBoltzmann distribution.
 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 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

 When they start rising, the kinetic energy begins to be converted to gravitational potential energy ($PE_g$).
 The sum of kinetic and potential energy in the system should remain constant, if losses to friction are ignored .
 The cars of a roller coaster reach their maximum kinetic energy when at the bottom of their path.
 When they start rising, the kinetic energy begins to be converted to gravitational potential energy.
 The sum of kinetic and potential energy in the system remains constant, ignoring losses to friction.

 Electric Energy: This is energy that is from electrical potential energy, a result of Coulombic forces.
 It is the sum of all of the kinetic and potential energy that the object has.
 In each of the aforementioned forms, energy exists as either kinetic energy, potential energy, or a combination of both.
 For example, luminous energy is radiant energy.
 A brief overview of energy, kinetic energy, gravitational potential energy, and the workenergy theorem for algebrabased physics students.