How much power is theoretically available from a mass flow of 1 000 kg/s of water when it falls a vertical distance of 100 meters?
A) 980 kW
B) 98 kW
C) 4 900 W
D) 980 W
E) 9 600 W

Question

Quizplus · Accepted Answer

The theoretical power available from a mass flow of water can be calculated using the formula:
P = mgh
where P is power, m is the mass flow rate, g is the acceleration due to gravity (9.81 m/s^2), and h is the vertical distance the water falls.
Plugging in the given values, we get:
P = (1000 kg/s) x (9.81 m/s^2) x (100 m)
P = 981,000 W or 981 kW (rounded to nearest thousand)
Therefore, the answer is A) 980 kW, as it is the closest to the calculated value.

How Much Power Is Theoretically Available from a Mass Flow