"In Newtonian mechanics, momentum is the product of the mass and velocity of an object."
Deals with the motion of objects and the amount of motion that they possess due to their mass and velocity.
Linear Momentum: Linear momentum, also known as the motion of an object in a straight line, is a physical quantity that describes an object's motion due to its mass and velocity.
Conservation of Momentum: The law of conservation of momentum states that the total momentum of a system remains constant if no external forces act on the system. This law applies to both elastic and inelastic collisions.
Impulse: Impulse is the effect of a force on an object over a period of time. It is the change in momentum of an object due to a force applied to it.
Elastic and Inelastic Collisions: Elastic collisions occur when the two colliding objects bounce off each other with no loss of energy, while inelastic collisions occur when the colliding objects stick together.
Center of Mass: The center of mass of an object is the point at which its mass is evenly distributed in all directions. It is also the point about which an object will rotate if subjected to a torque.
Angular Momentum: Angular momentum is a physical quantity that describes an object's rotational motion. It is equal to the product of its moment of inertia and its angular velocity.
Rotational Kinematics: Rotational kinematics is the study of the motion of objects that are rotating. It involves concepts such as angular velocity, angular acceleration, and torque.
Torque: Torque is the force that causes rotation. It is equal to the product of the force and the distance between the point of application of the force and the axis of rotation.
Moment of Inertia: The moment of inertia is a measure of an object's resistance to rotational motion. It is equal to the sum of the products of the masses of the particles in an object and their distances from the axis of rotation squared.
Conservation of Angular Momentum: The law of conservation of angular momentum states that the total angular momentum of a system remains constant if no external torques act on the system. This law applies to both rotational and translational motion.
Linear momentum: This type of momentum is the product of the mass and velocity of a moving object in a straight line.
Angular momentum: This type of momentum is the product of the moment of inertia and the angular velocity of a rotating object.
Translational momentum: This type of momentum refers to the motion of an object in a straight line.
Rotational momentum: This type of momentum refers to the motion of an object around an axis.
Center of momentum: This type of momentum refers to the motion of the center of mass of a system.
Impulse momentum: This type of momentum refers to the change in momentum of an object due to an applied force over a period of time.
Recoil momentum: This type of momentum refers to the momentum of a system after a collision, where one object moves in one direction and another object moves in the opposite direction.
Elastic momentum: This type of momentum refers to the momentum of a system after a collision where there is no loss of energy.
Inelastic momentum: This type of momentum refers to the momentum of a system after a collision where there is loss of energy.
Coefficient of restitution: This is a measure of the ratio of velocities of two objects after a collision.
"It is a vector quantity, possessing a magnitude and a direction."
"The object's momentum p is equal to the product of its mass and velocity, represented as p = mv."
"The unit of measurement of momentum is the kilogram metre per second (kg⋅m/s)."
"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."
"Momentum depends on the frame of reference, but in any inertial frame, it is a conserved quantity."
"If a closed system is not affected by external forces, its total linear momentum does not change."
"Momentum is also conserved in special relativity (with a modified formula)."
"Momentum is conserved in a modified form in electrodynamics, quantum mechanics, quantum field theory, and general relativity."
"Momentum is an expression of one of the fundamental symmetries of space and time: translational symmetry."
"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, which is different from the kinetic momentum."
"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."
"In continuous systems such as electromagnetic fields, fluid dynamics, and deformable bodies, a momentum density can be defined."
"A continuum version of the conservation of momentum leads to equations such as the Navier–Stokes equations for fluids."
"A continuum version of the conservation of momentum leads to equations such as the Cauchy momentum equation for deformable solids or fluids."
"The unit of momentum (kg⋅m/s) is equivalent to the newton-second."
"The term 'momentum' comes from the Latin word 'pellere,' meaning 'push, drive.'"
"Momentum is defined as the product of mass and velocity in Newtonian mechanics, but it may take different forms and formulas in other branches of physics."