A cart with mass 330 g moving on a frictionless linear air track at an initial speed of 2.1 m/s undergoes an elastic collision with an initially stationary cart of unknown mass. After the collision, the first cart continues in its original direction at 1.05 m/s.
1. What is the mass of the second cart?
2. What is its (second cart) speed after impact?
3. What is the speed of the two-cart center of mass?