Power and Deriving its formula

Power is defined as the rate at which work is done or energy is transferred. It is typically represented by the symbol "P" and is measured in watts (W).

The formula for power is:

P = W / t

Where:

P is the power (in watts, W)

W is the work done or energy transferred (in joules, J)

t is the time taken to do the work or transfer the energy (in seconds, s)

In other words, power is the amount of energy transferred or work done per unit time. The more work done in a given amount of time, the higher the power.

For example, if you lift a weight of 100 N to a height of 2 meters in 5 seconds, the work done would be:

W = F × d

W = 100 N × 2 m

W = 200 J

The power required to do this work in 5 seconds would be:

P = W / t

P = 200 J / 5 s

P = 40 W

So, the power required to lift the weight in this case would be 40 watts.