Car C of mass 0.300 ± 0.001 kilogram has a speed of 2.12± 0.03 m/s and moves in the positive X direction. Car D of mass 0.320 ± 0.001 kilogram and a speed of 0.50 ± 0.05 m/s and moves in the negative X direction. The two carts collide. After the collision, cart C has a speed of 0.523 ± 0.022 m/s in the positive X direction and cart D has a speed measured as 0.187± 0.024 m/s in the negative X direction.
A) Find the total momentum of the initial state with uncertainty.
B) Find the total momentum of the final state with uncertainty.
C) Find is momentum conserved? (Hint: Do the initial state and final state momentum agree within errors?)
D) Find the total initial kinetic energy with uncertainty.
E) Determine the total final state kinetic energy with uncertainty.
F) Find is this an elastic collision? (Hint: Do the initial state and final state kinetic energies agree within errors?)