To determine how the momentum of a 75-kilogram stationary football player compares with that of a 70-kilogram player moving at a velocity of 6 meters/second, we need to use the formula for momentum. Momentum ([tex]\(p\)[/tex]) is given by the product of mass ([tex]\(m\)[/tex]) and velocity ([tex]\(v\)[/tex]):
[tex]\[ p = m \times v \][/tex]
Let's calculate the momentum for each player:
1. Stationary Player:
- Mass ([tex]\(m\)[/tex]): 75 kg
- Velocity ([tex]\(v\)[/tex]): 0 m/s
The momentum of the stationary player:
[tex]\[ p_{\text{stationary}} = 75 \, \text{kg} \times 0 \, \text{m/s} = 0 \, \text{kg·m/s} \][/tex]
Therefore, the stationary player has no momentum.
2. Moving Player:
- Mass ([tex]\(m\)[/tex]): 70 kg
- Velocity ([tex]\(v\)[/tex]): 6 m/s
The momentum of the moving player:
[tex]\[ p_{\text{moving}} = 70 \, \text{kg} \times 6 \, \text{m/s} = 420 \, \text{kg·m/s} \][/tex]
Therefore, the moving player has a momentum of 420 kg·m/s.
Comparing the two:
- The stationary player has a momentum of 0 kg·m/s.
- The moving player has a momentum of 420 kg·m/s.
Thus, the stationary player has no momentum, whereas the moving player has a momentum of 420 kg·m/s.
The correct answer to the question is:
B. The 70 kilogram player has momentum whereas the 75 kilogram stationary player has none.
