Final answer:
The 14 kg bowling ball has the greatest momentum at 84 kg·m/s, because momentum is the product of mass and velocity, and it has the highest mass among the options given.
Step-by-step explanation:
The student is asking which bowling ball has the greatest momentum when all bowling balls are traveling at the same velocity of 6 m/s. Momentum is calculated as the product of mass and velocity (p = mv). Therefore:
- 6 kg bowling ball has a momentum of (6 kg * 6 m/s) = 36 kg·m/s.
- 10 kg bowling ball has a momentum of (10 kg * 6 m/s) = 60 kg·m/s.
- 12 kg bowling ball has a momentum of (12 kg * 6 m/s) = 72 kg·m/s.
- 14 kg bowling ball has a momentum of (14 kg * 6 m/s) = 84 kg·m/s.
The 14 kg bowling ball has the greatest momentum because it has the highest product of mass and velocity.