Quote: "In Newtonian mechanics, momentum is the product of the mass and velocity of an object. It is a vector quantity, possessing a magnitude and a direction... the object's momentum p is: p = m v."
The product of an object's mass and velocity, measuring the amount of motion that it possesses.
Definition of momentum: Momentum is a physical quantity that defines the amount of motion an object possesses.
The law of conservation of momentum: This is a fundamental principle of physics that states that the total momentum of a system is conserved in the absence of external forces.
Momentum equations: These are mathematical equations that describe the relationship between mass, velocity and momentum.
Impulse and momentum: Impulse is defined as the change in momentum produced by a force acting on an object.
Collisions: Collisions occur when two or more objects come into contact with each other. Different types of collisions include elastic, inelastic and perfectly inelastic.
Conservation of kinetic energy and momentum: This principle states that in a perfectly elastic collision, both kinetic energy and momentum are conserved.
Center of mass: The center of mass is a point that represents the average position of the mass of an object.
Angular momentum: Angular momentum is a measure of the rotational motion of an object.
Work-energy theorem: This theorem states that the work done by a force is equal to the change in kinetic energy of an object.
Torque: Torque is a measure of the turning effect of a force on an object.
Rotational inertia: Rotational inertia is the resistance of an object to rotational motion.
Rotational kinetic energy: Rotational kinetic energy is the energy associated with the rotational motion of an object.
Applications of momentum: Momentum is an important concept in many fields of science, including physics, chemistry, and engineering.
Collisions in particle physics: Collisions between subatomic particles are studied in particle physics to understand the fundamental nature of matter and energy.
Rocket propulsion: The principle of conservation of momentum is used in rocket propulsion to produce thrust and propel rockets into space.
Conservation of momentum in sports: The conservation of momentum is also an important concept in sports, where it is used to analyze collisions and other interactions between athletes and objects.
Momentum and automobile safety: The principle of momentum is used to design safe automobiles, including airbags and other safety features.
Linear momentum: The momentum possessed by an object due to its motion in a straight line.
Angular momentum: The momentum possessed by a rotating object. It is given by the product of the moment of inertia and the angular velocity of the object.
Elastic momentum: The momentum possessed by an object due to its elasticity. It is the momentum that is conserved during purely elastic collisions.
Inelastic momentum: The momentum possessed by an object during an inelastic collision. Inelastic collisions result in a decrease in the total momentum of the system.
Relativistic momentum: The momentum of an object at high velocities, taken into account the effects of Special Relativity.
Center of momentum momentum: The momentum of the center of mass of a system. It is conserved during any interaction between objects.
Magnetic momentum: The momentum resulting from the interaction between a magnetic field and a moving charged particle.
Thermal momentum: The momentum of individual particles in a system due to their thermal motion.
Gravitational momentum: The momentum of an object due to the force of gravity acting on it.
Radiative momentum: The momentum carried by photons in an electromagnetic field.
Quote: "In the International System of Units (SI), the unit of measurement of momentum is the kilogram metre per second (kg⋅m/s), which is equivalent to the newton-second."
Quote: "Newton's second law of motion states that the rate of change of a body's momentum is equal to the net force acting on it."
Quote: "Momentum depends on the frame of reference, but in any inertial frame it is a conserved quantity, meaning that if a closed system is not affected by external forces, its total linear momentum does not change."
Quote: "Momentum is also conserved in special relativity (with a modified formula) and, in a modified form, in electrodynamics, quantum mechanics, quantum field theory, and general relativity."
Quote: "It is an expression of one of the fundamental symmetries of space and time: translational symmetry."
Quote: "Advanced formulations of classical mechanics, Lagrangian and Hamiltonian mechanics, allow one to choose coordinate systems that incorporate symmetries and constraints. In these systems, the conserved quantity is generalized momentum..."
Quote: "The concept of generalized momentum is carried over into quantum mechanics, where it becomes an operator on a wave function. The momentum and position operators are related by the Heisenberg uncertainty principle."
Quote: "In continuous systems such as electromagnetic fields, fluid dynamics, and deformable bodies, a momentum density can be defined, and a continuum version of the conservation of momentum leads to equations such as the Navier–Stokes equations for fluids or the Cauchy momentum equation for deformable solids or fluids."
Quote: "Momentum is also conserved in special relativity (with a modified formula)..."
Quote: "The concept of generalized momentum is carried over into quantum mechanics, where it becomes an operator on a wave function. The momentum and position operators are related by the Heisenberg uncertainty principle."
Quote: "Momentum is the product of the mass and velocity of an object."
Quote: "The unit of measurement of momentum is the kilogram metre per second (kg⋅m/s), which is equivalent to the newton-second."
Quote: "The rate of change of a body's momentum is equal to the net force acting on it."
Quote: "Momentum depends on the frame of reference, but in any inertial frame it is a conserved quantity..."
Quote: "If a closed system is not affected by external forces, its total linear momentum does not change."
Quote: "Momentum is also conserved in special relativity (with a modified formula) and, in a modified form, in electrodynamics, quantum mechanics, quantum field theory, and general relativity."
Quote: "Advanced formulations of classical mechanics, Lagrangian and Hamiltonian mechanics, allow one to choose coordinate systems that incorporate symmetries and constraints."
Quote: "It is an expression of one of the fundamental symmetries of space and time: translational symmetry."
Quote: "In continuous systems such as electromagnetic fields, fluid dynamics, and deformable bodies, a momentum density can be defined, and a continuum version of the conservation of momentum leads to equations such as the Navier–Stokes equations for fluids or the Cauchy momentum equation for deformable solids or fluids."