How is power related to work and time?

Power is defined as the rate at which work is done or energy is transferred over time. This relationship can be mathematically expressed with the equation Power = Work / Time. This means that if you perform a certain amount of work over a period of time, the power output is determined by dividing the total work done by the time taken to do it.

For instance, if you lift a weight and it takes you a specific duration to lift it to a certain height, the work done against gravity (which is the force multiplied by the distance) divided by the time taken to perform that task gives you the power exerted during the lifting process. This relationship is critical in understanding how different machines and engines operate efficiently, and it highlights the importance of both the work done and the time required to complete it in calculating power.

The other options suggest incorrect relationships that do not accurately define how power interacts with work and time, failing to capture the essence of this fundamental concept in physics and engineering.