Question

In 1 minute, a mass of 9,000 kg of water flows through the turbines. The speed of the water is 30 m/s. Calculate the total kinetic energy of the water passing through the turbines in 1 minute. Give your answer in kilojoules (kJ).

Options:
A. 2.7 kJ
B. 4.5 kJ
C. 13.5 kJ
D. 27 kJ

Answer 1

The total kinetic energy of the water passing through the turbines in 1 minute is 4.5 kJ.

Step-by-step explanation:

To calculate the total kinetic energy of the water passing through the turbines, we need to use the formula for kinetic energy: KE = 0.5 * mass * velocity^2.

First, let's convert the mass from kg to grams:

9000 kg * 1000 g/kg = 9,000,000 g

Next, let's convert the velocity from m/s to cm/s:

30 m/s * 100 cm/m = 3000 cm/s

Now, we can calculate the kinetic energy:

KE = 0.5 * 9,000,000 g * (3000 cm/s)^2

Using a conversion factor of 1 kJ = 10^3 J, we find that the total kinetic energy is 4.5 kJ.