Final answer:
The velocity of the blue bumper car after the collision is 6.5 m/s to the right, determined by the conservation of momentum where the initial total momentum of the red car is transferred to the blue car.
Step-by-step explanation:
The subject of this question is Physics, specifically focusing on the concept of conservation of momentum during collisions. The situation describes a collision between two bumper cars, one of which is initially stationary. According to the conservation of momentum in a closed system (assuming no external forces like friction affect the system), the total momentum before and after the collision is the same. Momentum is calculated by multiplying the mass of an object by its velocity. Prior to the collision, the total momentum of the system is the momentum of the moving red bumper car, since the blue bumper car is stationary and therefore has zero momentum. So, the total momentum initially is (13 kg)(2 m/s) = 26 kg·m/s in the positive direction. Because the red bumper car comes to a complete stop after the collision, all its momentum is transferred to the blue bumper car. Since momentum is conserved, the blue bumper car will now have 26 kg·m/s of momentum. To find the velocity of the blue bumper car after the collision, we divide its momentum by its mass:
Velocity of blue bumper car = Momentum / Mass = 26 kg·m/s / 4 kg = 6.5 m/s
Therefore, the velocity of the blue bumper car after the collision is 6.5 m/s to the right.