Water flows over a section of Niagara Falls at the rate of 1.2×106 kg/s and falls 50.0 m. How much power is generated by the falling water?

This question involves the simple concept and formula of Power.

The power generated by the falling water is "5.88 x 10⁸ W".

Power can be defined as the energy applied per unit of time.

here, the energy is the potential energy, due to the fall of water:

where,

g = acceleration due to gravity = 9.81 m/s²

h = height = 50 m

= mass flow rate = 1.2 x 10⁶ kg/s

Therefore,

P = 5.88 x 10⁸ W

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The attached picture explains the concept of work, power and energy.

5.88×10⁸ W

Explanation:

Power = energy / time

P = mgh / t

P = (m/t) gh

P = (1.2×10⁶ kg/s) (9.8 m/s²) (50.0 m)

P = 5.88×10⁸ W

some think that theories become laws, but theories and laws have separate and distinct roles in the scientific method. a law is a description of an observed phenomenon in the natural world that hold true every time it is tested. it doesn't explain why something is true; it just states that it is true.

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