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Momentum

Momentum is a quantity that expresses the motion of a body, equal to the product of its mass and velocity. The momentum of an object depends on its mass and velocity, with greater mass or velocity resulting in more momentum. The law of conservation of momentum states that in a closed system without external forces, the total momentum before and after an interaction will be the same. Examples include a person recoiling after firing a gun or moving backward when throwing an object off a skateboard. In collisions, the total momentum of the system is conserved and can be expressed mathematically as the sum of the momentum of the objects before equalling the sum after.

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Momentum A quantity expressing the motion of a body or system, equal to the product of the mass of a body and its velocity, and for a system equal to the vector sum of the products of mass and velocity of each particle in the system. Momentum = mass • velocity
Momentum  The momentum of a ball depends on its mass and velocity.  Ball B has more momentum than ball A.
Momentum and collisions Momentum p=mv (kg m/sec) Velocity (m/sec) Mass (kg) Momentum is a vector; its direction is the same as the direction of the velocity.
Conservation of Momentum The law of conservation of momentum states when a system of interacting objects is not influenced by outside forces (like friction), the total momentum of the system cannot change. If you throw a rock forward from a skateboard, you will move backward in response.
Example of conservation of momentum SHOOTING A GUN AND RECOIL
Law of Conservation Of Momentum Total momentum of an isolated system before collision is always equal to total momentum after collision. MATHEMATICAL REPRESENTATION Consider an Two bodies A and B and mass m1 and m2 moving initially with velocities u1 and u2 Total momentum before collision = m1u1 + m2u2 Let after collision their velocities become v1 and v2. Total momentum after collision = m1v1 + m2v2
Law of Conservation Of Momentum According to the law of conservation of momentum m1u1 + m2u2 = m1v1 + m2v2
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