Answer :
Final answer:
The momentum of the football player and football system can be calculated using the momentum formula, yielding 147 kg·m/s, which aligns with option a as the correct answer.
Explanation:
The momentum of the football player and football system before any action takes place can be calculated by using the formula for momentum, which is the product of mass and velocity (momentum = mass × velocity). In this case, the combined momentum of the player and the football will be the sum of their momentum. Before the football is thrown, they move together at a velocity of 2.15 m/s.
To find the momentum of the system, we use the aforementioned formula:
The momentum of the system = (mass of player + mass of football) × velocity of the system
Momentum of the system = (68.0 kg + 0.420 kg) × 2.15 m/s
Momentum of the system = 68.420 kg × 2.15 m/s
Momentum of the system = 147.103 kg·m/s
Given the choices, the closest value to our calculated momentum is 147 kg·m/s, which represents option a. Therefore, the correct answer to the momentum of the football player and football system is 147 kg·m/s.
