Question

What is power? How do you differentiate kilowatt from kilowatt-hour? The Jog Falls in Karnataka state are nearly 20 m high. 2000 tonnes of waterfalls from it in a minute. Calculate the equivalent power if all this energy can be utilized? (g = 10 m s–2)

Answer 1

Power:

1. The rate at which work is done on an object is defined as its power.
2. Power is a temporal quantity. Which is related to how quickly a job is completed.
3. A kilowatt is a power unit, and a kilowatt-hour is an electrical energy unit.

Step 1:Given:

$h=20\text{m}$

$m=2\times {10}^6\text{kg}$

$t=60s$

Step 2:To Find equivalent power.

Step 3:Calculate Equivalent power.

$$\begin{gathered} p=\frac{mgh}{t} \\ =\frac{\left(2\times {10}^6\right)\times 10\times 20}{60} \\ =6.66\times {10}^6\text{w} \end{gathered}$$

Hence, the equivalent power is $6.66\times {10}^6\text{w}$.