Question

A pump raises 1000 kg of water from a well 12 m. deep and throws it with a speed f 15 m/s in 1 minute . Find the power of the pump in HP.

Answer 1

$power = \frac{energy}{time} \\ \\ total \: energy \: used \: by \: pump \: is \\ mgh + \frac{1}{2} m {v}^{2} \\ 1000 \times 10 \times 12 + \frac{1}{2} 1000 \times {(15)}^{2} \\ 500(240+ 225) \\ = 500(465)joules \\ \\ power = \frac{500 \times 465}{60} \\ = 3875watt \\ \\ \\ now \: in \: horsepower \\ 1hp \: = \: 746 \: watt \\ no. \: of \: hp \: will \: be - \\ \frac{3875}{746} hp \\ = 5.19 \: hp$
✔️✔️✔️5.19 hp power is delivered by engine.