Final answer:
The total momentum of the system is -7 kg*m/s.
Step-by-step explanation:
The total momentum of a system can be calculated by summing the individual momenta of the objects in the system. Momentum is defined as the product of mass and velocity.
For the 2.0 kg ball moving at 4 m/s to the right, the momentum is calculated as:
momentum = mass * velocity = 2.0 kg * 4 m/s = 8 kg*m/s to the right.
For the 5.0 kg ball moving at 3.0 m/s to the left, the momentum is calculated as:
momentum = mass * velocity = 5.0 kg * (-3.0 m/s) = -15 kg*m/s to the left.
To find the total momentum of the system, we add the individual momenta: 8 kg*m/s + (-15 kg*m/s) = -7 kg*m/s.