To determine which fish has more momentum, let's first recall the formula for momentum:
[tex]\[ \text{Momentum} = \text{mass} \times \text{velocity} \][/tex]
We are given the following information:
- The 5-kilogram fish is swimming at a speed of 10 meters/second.
- The 2-kilogram fish is swimming at a speed of 10 meters/second.
Now, let's calculate the momentum for each fish:
1. Momentum of the 5-kilogram fish:
[tex]\[
\text{Momentum} = 5 \, \text{kg} \times 10 \, \text{m/s} = 50 \, \text{kg} \cdot \text{m/s}
\][/tex]
2. Momentum of the 2-kilogram fish:
[tex]\[
\text{Momentum} = 2 \, \text{kg} \times 10 \, \text{m/s} = 20 \, \text{kg} \cdot \text{m/s}
\][/tex]
By comparing the two momenta:
- The 5-kilogram fish has a momentum of 50 kg⋅m/s.
- The 2-kilogram fish has a momentum of 20 kg⋅m/s.
Since 50 kg⋅m/s is greater than 20 kg⋅m/s:
- The 5-kilogram fish has more momentum.
Thus, the correct answer is:
[tex]\[ \boxed{\text{C: The 5-kilogram fish has more momentum}} \][/tex]
