A swimmer moves through the water at a speed of 0.22 m/s. The drag force opposing this motion is 110 N. How much power ( in W) is developed by the swimmer ?

Answer

To find the power developed by the swimmer, we can use the formula for power, which is defined as the product of force and velocity. The formula is given by:

\[ P = F \cdot v \]

Where:
- \( P \) is the power in watts (W),
- \( F \) is the force in newtons (N),
- \( v \) is the velocity in meters per second (m/s).

### Step-by-Step Solution:

1. **Identify the given values**:
- The drag force \( F = 110 \, \text{N} \)
- The speed of the swimmer \( v = 0.22 \, \text{m/s} \)

2. **Substitute the values into the power formula**:
\[ P = F \cdot v \]
\[ P = 110 \, \text{N} \cdot 0.22 \, \text{m/s} \]

3. **Calculate the power**:
\[ P = 110 \cdot 0.22 = 24.2 \, \text{W} \]

4. **Final Result**:
The power developed by the swimmer is \( 24.2 \, \text{W} \).