Cart 1 (m = 15 kg) is moving to the right with a velocity of 3 m/s when it collides elastically with cart 2 (m = 10.0 kg). Cart 2 was moving to the right with a velocity of 5.0 m/s prior to the collision. After the collision, Cart 1 is motionless. Calculate the total momentum in the system after the crash.
a) 75 kg m/s
b) 45 kg m/s
c) 30 kg m/s
d) 15 kg m/s