4.3 Newton's second law, and the laws of conservation of momentum and conservation of energy are all invariant under Galilean transformation. (1) Explain what is meant by the term invariant. The Galilean transformations of classical mechanics are equations that describe a specific event from an inertial coordinate system relative to another inertial coordinate system. Given the equations to be: x=x+vt;y=y; z=z';t=ť Show that the acceleration of a moving body is invariant under a Galilean transformation. A rocket ship flies at a speed of 0.800c over a man on earth at a time t=0 seconds. 3.00 seconds later, the man observes an event happening from him at a distance 5.00 m. How far is this event from the astronaut in the rocket ship? What can you say about your answer? 4.4

4.3 Newton's second law, and the laws of conservation of momentum and conservation of energy are all invariant under Galilean transformation. (1) Explain what is meant by the term invariant. The Galilean transformations of classical mechanics are equations that describe a specific event from an inertial coordinate system relative to another inertial coordinate system. Given the equations to be: x=x+vt;y=y; z=z';t=ť Show that the acceleration of a moving body is invariant under a Galilean transformation. A rocket ship flies at a speed of 0.800c over a man on earth at a time t=0 seconds. 3.00 seconds later, the man observes an event happening from him at a distance 5.00 m. How far is this event from the astronaut in the rocket ship? What can you say about your answer? 4.4