An engine pumps water through a hose pipe. Water passes through the pipe and leaves it with a velocity of `2 ms^(1)`. The mass per unit length of water in the pipe is `100 kgm^(-1)`. What is the power of the engine?

Options

A. `400 W`
B. `200 W`
C. `100 W`
D. `800 W`

Explanation

To find the power of the engine that pumps water through a hose pipe, we can use the relationship between power, force, and velocity. Here's a step-by-step solution:

### Step 1: Understand the given data
- Velocity of water, \( v = 2 \, \text{m/s} \)
- Mass per unit length of water in the pipe, \( \frac{m}{L} = 100 \, \text{kg/m} \)

### Step 2: Calculate the mass flow rate
The mass flow rate (\( \dot{m} \)) can be calculated using the mass per unit length and the velocity:
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