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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?

Respuesta :

Answer:

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

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.

[tex]Power = \frac{Energy}{Time}[/tex]

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

[tex]Power = P = \frac{mgh}{t}[/tex]

where,

g = acceleration due to gravity = 9.81 m/s²

h = height = 50 m

[tex]\frac{m}{t}[/tex] = mass flow rate = 1.2 x 10⁶ kg/s

Therefore,

[tex]P = (1.2\ x\ 10^6\ kg/s)(9.81\ m/s^2)(50\ m)\\[/tex]

P = 5.88 x 10⁸ W

Learn more about power here:

https://brainly.com/question/19382734?referrer=searchResults

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

Ver imagen hamzaahmeds