Water flows over a section of Niagara Falls at a rate of 1.31 * 106 kg/s and falls 71 m. The acceleration of gravity is 9.8 m/s 2. How many 40 W bulbs can be lit with this power?

Question

Physics

Alonso Castaneda

3 September, 13:29

Water flows over a section of Niagara Falls at a rate of 1.31 * 106 kg/s and falls 71 m. The acceleration of gravity is 9.8 m/s 2. How many 40 W bulbs can be lit with this power?

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Answers (1)

Know the Answer?

Pedro · Answer 1

2*10⁷ bulbs.

Explanation:

From the question,

The the power generated by the water flows over a Niagara section is given as,

P = M'gh ... Equation 1

Where M' = Fall rate, g = acceleration due to gravity, h = height of fall.

Given: M' = 1.31*10⁶ kg/s, g = 9.8 m/s², h = 71 m

Substitute into equation 1

P = 1.31*10⁶*9.8*71

P = 9.115*10⁸ W.

Number of 40 W bulb it can lit = P/40

= 9.115*10⁸/40 = 2.27*10⁷ ≈ 2*10⁷ bulbs.