Water flows over Victoria Falls, which is 128 m high, at an average rate of 1.66 × 106 kg/s. The acceleration of gravity is 9.81 m/s 2 . If half the potential energy of this water were converted into electric energy, how much power would be produced by these falls? Answer in units of MW

Respuesta :

Answer:

The fall will produce 1.04×10³ MW power

Explanation:

Power: This is the rate at which work is done. The S.I unit of power is Watt (W)

P = Energy/time

P = mgh/t

P = μgh..............................................Equation 1.

Where P = power, μ = the mass rate of water flow, h = height, g = acceleration due to gravity.

Given: μ = 1.66×10⁶ kg/s, h = 128 m, g = 9.81 m/s².

Substituting these values into equation 1

P = (1.66×10⁶×128×9.81)/2

Note: Half the potential energy of the water were converted to electric energy.

P = 1.66×10⁶×64×9.81

P = 1042.21×10⁶

P = 1.04×10⁹ W

P = 1.04×10³ MW

Thus the fall will produce 1.04×10³ MW power