Victoria Falls every minute carries 90 million liters of water from a height of 100 m.

| September 11, 2021 | education

Victoria Falls every minute carries 90 million liters of water from a height of 100 m. Find the work that it does in 1 m and power.

S = 100 m.
S1 = 1 m.
V = 90,000,000 l = 90,000 m ^ 3.
g = 9.8 m / s ^ 2.
t = 1 min = 60 s.
ρ = 1000 kg / m ^ 3.
A1 -?
N1 -?
Falling water under the action of gravity performs work A1 = m1 * g * S1, where m1 is the mass of water that passes 1 meter of the waterfall, g is the acceleration of gravity, S1 is the distance that the water travels.
m1 = V1 * ρ, where V1 is the volume of water that 1 meter of the waterfall passes through, ρ is the density of water.
V1 = V / 100.
m1 = V * ρ / 100.
A1 = V * ρ * g * S1 / 100.
A1 = 90,000 m ^ 3 * 1000 kg / m ^ 3 * 9.8 m / s ^ 2 * 1 m / 100 = 8,820,000 J.
N1 = A1 / t1, where t1 is the time for water to pass 1 meter.
t1 = t / S.
N1 = A1 * S / t.
N1 = 8,820,000 J * 100 m / 60 s = 14,700,000 W.
Answer: A1 = 8,820,000 J, N1 = 14,700,000 W.



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