An engine races 100kg of water through a height of 60m in 20s. What is the power of the engine.(take g to be 10meter per second)

Answer 1

First, we need to calculate the potential energy of the water using the formula:

Potential energy = mass * gravity * height

mass = 100 kg
gravity = 10 m/s^2
height = 60 m

Potential energy = 100 kg * 10 m/s^2 * 60 m
Potential energy = 60,000 Joules

We know that power is the rate at which work is done, so we can calculate it using the formula:

Power = Work / Time

The work done by the engine is equal to the potential energy of the water, which is 60,000 Joules. The time taken is 20 seconds.

Power = 60,000 Joules / 20 seconds
Power = 3,000 Watts

Therefore, the power of the engine is 3,000 Watts.