The law of conservation of linear momentum are invarient under Galilean transformation
Answers
The total momentum of an isolated system at all times equals its initial momentum. The only requirement is that the forces must be internal to the system. In an isolated system the validity of Galileo invariance and the conservation of kinetic energy (and mass) can lead to the conservation of linear momentum.
GALILEAN TRANSFORMATIONS
The consequences research work of Galileo on the motion of the projectile led him to formulate transformations which later on ,were called after his name 'Galilean transformations'. These are used to describe the motions which are observed by two observers in two different inertial frames.
HIS MAIN RESULTS ARE AS FOLLOWS
✴ the motion of a particle projected at any angle maybe derived from the motion of the particle thrown vertically upward.
✴ if a particle is thrown straight up from a cart which is moving with uniform speed, the observer on the cart may see the particle moving up and down but the motion observed by an observer on the ground maybe described by superimposing the motion of the cart into that of projectile.