Momentum

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Momentum

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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

Momentum

The momentum of a ball depends on its mass and velocity.

Ball B has more momentum than ball A.

Momentum and collisions

Momentum is a vector; its direction is the same as the direction of the velocity.

Velocity (m/sec)Mass (kg)

Momentum (kg m/sec)

p = m v

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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