Answer :
Certainly! Let's find the momentum of the football player using the formula for momentum.
Step-by-Step Solution:
1. Identify the given values:
- Mass of the football player: [tex]\( m = 94 \ \text{kg} \)[/tex]
- Velocity of the football player: [tex]\( v = 5.3 \ \text{m/s} \)[/tex]
2. Recall the formula for momentum:
- Momentum [tex]\( \rho \)[/tex] is given by the formula:
[tex]\[
\rho = m \times v
\][/tex]
where:
- [tex]\( m \)[/tex] is the mass
- [tex]\( v \)[/tex] is the velocity
3. Substitute the given values into the formula:
[tex]\[
\rho = 94 \ \text{kg} \times 5.3 \ \text{m/s}
\][/tex]
4. Calculate the result:
[tex]\[
\rho = 94 \times 5.3 = 498.2 \ \text{kg} \cdot \text{m/s}
\][/tex]
Thus, the momentum of the 94 kg football player moving at 5.3 m/s is:
[tex]\[
\boxed{498.2 \ \text{kg} \cdot \text{m/s}}
\][/tex]
Step-by-Step Solution:
1. Identify the given values:
- Mass of the football player: [tex]\( m = 94 \ \text{kg} \)[/tex]
- Velocity of the football player: [tex]\( v = 5.3 \ \text{m/s} \)[/tex]
2. Recall the formula for momentum:
- Momentum [tex]\( \rho \)[/tex] is given by the formula:
[tex]\[
\rho = m \times v
\][/tex]
where:
- [tex]\( m \)[/tex] is the mass
- [tex]\( v \)[/tex] is the velocity
3. Substitute the given values into the formula:
[tex]\[
\rho = 94 \ \text{kg} \times 5.3 \ \text{m/s}
\][/tex]
4. Calculate the result:
[tex]\[
\rho = 94 \times 5.3 = 498.2 \ \text{kg} \cdot \text{m/s}
\][/tex]
Thus, the momentum of the 94 kg football player moving at 5.3 m/s is:
[tex]\[
\boxed{498.2 \ \text{kg} \cdot \text{m/s}}
\][/tex]
