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Answer :
To find the speed of the rowboat, we can use the relationship between momentum, mass, and velocity. The formula for momentum is:
[tex]\[ \text{Momentum} = \text{Mass} \times \text{Velocity} \][/tex]
In this problem, we're given the momentum and the mass of the rowboat and need to find its velocity (which is the speed in this context).
### Step-by-step solution:
1. Identify the given information:
- Momentum = 241.5 kg·m/s
- Mass = 115 kg
2. Rearrange the momentum formula to solve for velocity:
[tex]\[ \text{Velocity} = \frac{\text{Momentum}}{\text{Mass}} \][/tex]
3. Substitute the given values into the formula:
[tex]\[ \text{Velocity} = \frac{241.5 \, \text{kg·m/s}}{115 \, \text{kg}} \][/tex]
4. Calculate the velocity:
[tex]\[ \text{Velocity} = 2.1 \, \text{m/s} \][/tex]
5. Determine the correct option:
The calculated speed is 2.1 m/s, which corresponds to option B.
Therefore, the speed of the rowboat is [tex]\( \text{2.1 m/s} \)[/tex], which matches option B.
[tex]\[ \text{Momentum} = \text{Mass} \times \text{Velocity} \][/tex]
In this problem, we're given the momentum and the mass of the rowboat and need to find its velocity (which is the speed in this context).
### Step-by-step solution:
1. Identify the given information:
- Momentum = 241.5 kg·m/s
- Mass = 115 kg
2. Rearrange the momentum formula to solve for velocity:
[tex]\[ \text{Velocity} = \frac{\text{Momentum}}{\text{Mass}} \][/tex]
3. Substitute the given values into the formula:
[tex]\[ \text{Velocity} = \frac{241.5 \, \text{kg·m/s}}{115 \, \text{kg}} \][/tex]
4. Calculate the velocity:
[tex]\[ \text{Velocity} = 2.1 \, \text{m/s} \][/tex]
5. Determine the correct option:
The calculated speed is 2.1 m/s, which corresponds to option B.
Therefore, the speed of the rowboat is [tex]\( \text{2.1 m/s} \)[/tex], which matches option B.
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