Question

energy is the ability to do work (measured in j), power is the rate of energy in w)

1. how does time affect power?
2. give an example of a situation where work is being done.

Explanation:

Step1: Recall power formula

Power $P=\frac{W}{t}$, where $W$ is work - energy and $t$ is time.

Step2: Analyze time - power relationship

From $P = \frac{W}{t}$, when work $W$ is constant, power $P$ is inversely proportional to time $t$. That is, the less time it takes to do a certain amount of work, the greater the power; the more time it takes, the smaller the power.

Step3: Provide work - done example

Lifting a box from the ground to a table. A force is applied over a distance. The force is in the direction of the displacement of the box, so work is being done.

Answer:

1. When the work done is constant, power is inversely proportional to time. The shorter the time to do a fixed - amount of work, the higher the power; the longer the time, the lower the power.
2. Lifting a box from the ground to a table.