A pump lifts 260 kg of water per hour a height of 3.5 m . What is the minimum necessary power output rating of the water pump in watts? Express your answer using two significant figures.

Respuesta :

Answer:

2.5 Watts.

Explanation:

From the question given above, the following data were obtained:

Mass (m) = 260 Kg

Time (t) = 1 h

Height (g) = 3.5 m

Power (P) =.?

Next, we shall determine the energy. This can be obtained as follow:

Mass (m) = 260 Kg

Height (g) = 3.5 m

Acceleration due to gravity (g) = 10 m/s²

Energy (E) =?

E = mgh

E = 260 × 10 × 3.5

E = 9100 J

Finally, we shall determine the power. This can be obtained as follow:

Time (t) = 1 h = 3600 s

Energy (E) = 9100 J

Power (P) =.?

P = E/t

P = 9100 / 3600

P = 2.5 Watts

Thus, the power is 2.5 Watts.