Question
A football player with a mass of 97 kg runs up field at a velocity of 8 m/s. The momentum of the football player can be calculated using these two figures.
What is the momentum of the football player?
(1 point)
Responses
12N
12N
776N
776N
12 kg*m/s
12 kg*m/s
776 kg*m/s
What is the momentum of the football player?
(1 point)
Responses
12N
12N
776N
776N
12 kg*m/s
12 kg*m/s
776 kg*m/s
Answers
GPT-4o mini
Momentum (p) is calculated using the formula:
\[ p = m \times v \]
where:
- \( m \) is the mass of the object (in kilograms),
- \( v \) is the velocity of the object (in meters per second).
For the football player:
- Mass \( m = 97 \, \text{kg} \)
- Velocity \( v = 8 \, \text{m/s} \)
Now, plug in the values:
\[ p = 97 \, \text{kg} \times 8 \, \text{m/s} = 776 \, \text{kg} \cdot \text{m/s} \]
So, the momentum of the football player is **776 kg·m/s**.
\[ p = m \times v \]
where:
- \( m \) is the mass of the object (in kilograms),
- \( v \) is the velocity of the object (in meters per second).
For the football player:
- Mass \( m = 97 \, \text{kg} \)
- Velocity \( v = 8 \, \text{m/s} \)
Now, plug in the values:
\[ p = 97 \, \text{kg} \times 8 \, \text{m/s} = 776 \, \text{kg} \cdot \text{m/s} \]
So, the momentum of the football player is **776 kg·m/s**.
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