A swimmer moves through the water at an average speed of 0.22 m/s. The average drag force is 110 N. What average power is required of the swimmer ?

Answer

To find the average power required of the swimmer, we can use the relationship between power, force, and velocity. Here’s the step-by-step solution:

### Step 1: Understand the relationship between power, force, and velocity
Power (P) can be defined as the product of force (F) and velocity (v). Mathematically, this is expressed as:
\[ P = F \cdot v \]

### Step 2: Identify the given values
From the problem, we have:
- Average speed of the swimmer (velocity, v) = 0.22 m/s
- Average drag force (F) = 110 N

### Step 3: Substitute the values into the power formula
Now, we can substitute the values we have into the power formula:
\[ P = 110 \, \text{N} \cdot 0.22 \, \text{m/s} \]

### Step 4: Calculate the power
Now we perform the multiplication:
\[ P = 110 \times 0.22 = 24.2 \, \text{W} \]

### Step 5: State the final answer
The average power required of the swimmer is:
\[ P = 24.2 \, \text{W} \]