If the heart pushes 1 cc of blood in one second under pressure 20000 N/m 2 the power of heart is

Options

A. 0.02 W
B. 400 W
C. `5xx10^(-10)`W
D. 0.2 W

Explanation

To find the power of the heart when it pushes 1 cc of blood in one second under a pressure of 20,000 N/m², we can follow these steps:

### Step 1: Understand the relationship between power, pressure, and volume flow rate
Power (P) can be calculated using the formula:
\[ P = \text{Pressure} \times \text{Volume flow rate} \]
Where:
- Pressure (P) is given in N/m² (Pascals).
- Volume flow rate (Q) is the volume of blood pushed per unit time (in m³/s).

### Step 2: Convert the volume from cubic centimeters to cubic meters
Given that the heart pushes 1 cc (cubic centimeter) of blood:
\[ 1 \text{ cc} = 1 \text{ cm}^3 = 1 \times 10^{-6} \text{ m}^3 \]
Since the heart pushes this volume in 1 second, the volume flow rate (Q) is:
\[ Q = \frac{1 \times 10^{-6} \text{ m}^3}{1 \text{ s}} = 1 \times 10^{-6} \text{ m}^3/\text{s} \]

### Step 3: Substitute the values into the power formula
Now we can substitute the values into the power formula:
\[ P = \text{Pressure} \times Q \]
\[ P = 20,000 \text{ N/m}^2 \times 1 \times 10^{-6} \text{ m}^3/\text{s} \]

### Step 4: Calculate the power
Calculating the above expression:
\[ P = 20,000 \times 1 \times 10^{-6} \]
\[ P = 20,000 \times 0.000001 \]
\[ P = 0.02 \text{ Watts} \]

### Conclusion
The power of the heart is:
\[ P = 0.02 \text{ Watts} \]