Lets examine whether or not the law of conservation of momentum is true in all reference frames if we use the Newtonian definition of momentum: px = mux. Consider an object A of mass 3m at rest in reference frame S. Object A explodes into two pieces: object B, of mass m, that is shot to the left at a speed of c/2 and object C, of mass 2m, that, to conserve momentum, is shot to the right at a speed of c/4. Suppose this explosion is observed in reference frame S that is moving to the right at half the speed of light. a. Use the Lorentz velocity transformation to find the velocity and the Newtonian momentum of A in S. b. Use the Lorentz velocity transformation to find the velocities and the Newtonian momenta of B and C in S. c. What is the total final momentum in S? d. Newtonian momentum was conserved in frame S. Is it conserved in frame S?

HAPPYEARTHDAY! Lecture6:HumanDisturbance ProfessorD.Cusack dcusack@geog.ucla.edu Office:1113Bunche 1 What factors determine the spatio- temporal distributions of organisms History Chance Biological Physical climate competition...