Momentum

Assume your file cabinet is sitting on a cart with wheels.  It is sitting in the middle of a room with a smooth floor.  You want to move it against the wall.  You give it a push.  It takes off, and before you know it, it slams into the wall.  It is hard to stop it, because it has linear momentum.

Linear momentum is a measure of an object's translational motion.  The linear momentum p of an object is defined as the product of the object's mass m times its velocity v.

p = mv.

Linear momentum is a vector.  Its direction is the direction of the velocity.  The Cartesian components of p are

px = mvx,  py = mvy,  pz = mvz.

The SI unit for the magnitude of the momentum p is kg m/s.


Conservation of momentum

In interactions between isolated objects momentum is always conserved.

If two isolated objects collide, we have
m1v1i + m2v2i = m1v1f + m2v2f.