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 water falls from it in a minute. Calculate the equivalent power if all this energy can be utilized? $(g = 10 \, m \, s^{-2})$

Vedclass pdf generator app on play store
Vedclass iOS app on app store
(N/A) Power is defined as the rate of doing work or the rate of energy transfer.
Kilowatt $(kW)$ is a unit of power, representing $1000 \, J/s$. Kilowatt hour $(kWh)$ is a unit of energy, representing the energy consumed by a device of $1 \, kW$ power in $1 \, hour$.
Given: Height $(h) = 20 \, m$, Mass $(m) = 2000 \, \text{tonnes} = 2000 \times 1000 \, kg = 2 \times 10^6 \, kg$, Time $(t) = 1 \, \text{minute} = 60 \, s$, Acceleration due to gravity $(g) = 10 \, m \, s^{-2}$.
Potential Energy $(PE) = mgh = 2 \times 10^6 \times 10 \times 20 = 4 \times 10^8 \, J$.
Power = $\frac{\text{Energy}}{\text{Time}} = \frac{4 \times 10^8 \, J}{60 \, s} = \frac{40}{6} \times 10^7 \, W = 6.67 \times 10^6 \, W$ or $6.67 \, MW$.

Explore More

Similar Questions

Define work. Write an expression for work in terms of force and displacement. State the $SI$ unit of work done.

$A$ light body and a heavy body have the same kinetic energy. Which one will have the greater momentum?

In each of the following cases,a force $F$ is acting on an object of mass $m$. The direction of displacement is from west to east,shown by the longer arrow. Observe the diagrams carefully and state whether the work done by the force is negative $(-ve)$,positive $(+ve)$,or zero $(0)$.

Justify,giving proper reasoning,whether the work done in the following case is positive or negative: Work done by friction on a body sliding down an inclined plane.

Two bodies of equal masses move with the uniform velocities $v$ and $3v$ respectively. Find the ratio of their kinetic energies.

Vedclass Products

For Students

Vedclass Test Series

Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.

Start Free Trial
For Teachers

Exam Paper Generator

Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.

Try Free
For Institutes

Online Exam Module

Live online exams with unlimited students, 360° analytics & white-label branding.

See Demo