A cart with mass 470 g moving on a frictionless linear air track at an initial speed of 1.8 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 1.1 m/s. (a) What is the mass (in g) of the second cart? (b) What is its speed after impact? (c) What is the speed of the two-cart center of mass?