Answer to Question #108668 in Mechanics | Relativity for ALI

Question

VERIFY LAW OF CONSERVATION OF MOMENTUM AND LAW OF CONSERVATION OF KINETIC ENERGY ARE INVERIENT UNDER GALILIEAN TRANSFORMATION?

Answer 1

Laws of conservation of kinetic energy and momentum deal with speeds. Galilean transformation provide equations that tie one frame of reference with other frame of reference moving relatively to one another.

Since the conservation of energy and momentum make sense only when we consider a system of bodies that move relatively to each other, the fact that we tie their speeds already satisfies Galilean transformation.