Two carts mounted on an air track are moving toward one another. Cart 1 has a speed of 0.8 m/s and a mass of 0.52 kg. Cart 2 has a mass of 0.66 kg.

(a) If the total momentum of the system is to be zero, what is the initial speed (in m/s) of Cart 2? (Enter a number.)

(b) Does it follow that the kinetic energy of the system is also zero since the momentum of the system is zero?

(c) Determine the system's kinetic energy (in J) in order to substantiate your answer to part (b). (Enter a number.)