A water pump extracts water from a depth 10 m below the ground. The...

The work done by the pump in lifting water is equal to the change in potential energy of the water.

Given:
Mass of water pumped per minute, $m = 30 \text{ kg}$
Time, $t = 1 \text{ minute} = 60 \text{ s}$
Depth, $h = 10 \text{ m}$
Acceleration due to gravity, $g = 9.8 \text{ m/s}^2$

The power required in watts is given by:
$P = \dfrac{mgh}{t}$

Substituting the given values:
$P = \dfrac{30 \times 9.8 \times 10}{60} = 49 \text{ W}$

To convert the power into horsepower, we use the conversion $1 \text{ hp} = 746 \text{ W}$.

$P = \dfrac{49}{746} \text{ hp} \approx 0.066 \text{ hp}$