What is the equation connecting work, force, distance, time, and power?

Power is fundamentally the rate of doing work. Here's how these concepts connect:

Power (P) = Work (W) / Time (t)

And since Work = Force × Distance:

Power = (Force × Distance) / Time

Or simplified: P = F × v (where v = velocity = distance/time)

Key relationships:

• Work (W) = Force (F) × Distance (d)
• Power (P) = Work / Time = (F × d) / t
• Power measures how quickly work is done

Example: If you push a 50N object 10 meters in 5 seconds: Work = 50 × 10 = 500 joules Power = 500 / 5 = 100 watts