Question

The Jog Falls in Karnataka state are nearly
20 m high. 2000 tonnes of water falls from it in a minute. Calculate the
equivalent power, if all this energy can be utilized. (g = 10 m/s2) ​

Answer 1

Power = Work done per unit time
Work done = Δ Energy
Potential Energy = mgh
Power = mgh/t = μgh. [μ=mass per time]
μ=2000x1000kg/60 sec
μ = 3x10000 (approximately)
Power = 3x10000 x 10 x 20
Power = 6 x 10^6 W

Answer 2

Explanation:

Given:

• Height (H) is 20 m
• Mass (m) is 2000 tonnes
• Gravitational force (g) is 10 ms²
• Time ( T ) is 1 minutes = 60 seconds

To Find:

• What is the power?

Solution: Here mass is given in tonnes so we have to change it into Kg

• 1 tonne = 1000 kg , so
• 2000 tonnes = 2 x 10^6 kg

• Formula for finding Power •

★ Power = Work/Time ★

• Also Work = mgh

$→ \frac{2 \times 10 ^{6} \times 10 \times 200 }{60} \\ \\ →6.67 \times 10 ^{7} W$

Hence, Power = 6.67 x 10^7 W