Question

A hair dryer uses 72,000 J of work in 60 seconds. What is the power of this hair dryer? (P = W/t)

Answer 1

To calculate the power of the hair dryer, divide the work done (72,000 J) by the time (60 s) to find that the hair dryer has a power of 1,200 watts.

Step-by-step explanation:

The student's question involves calculating the power of a hair dryer given the amount of work it does over a period of time. Power is defined as the rate at which work is done or energy is transferred. Using the formula P = W/t, where P is power in watts (W), W is work in joules (J), and t is time in seconds (s), we can calculate the power of the hair dryer.

Here's the calculation step-by-step:

1. First, we identify the work done by the hair dryer, which is 72,000 J.
2. Next, we determine the time during which the work was done, which is 60 seconds.
3. We then plug the values into the formula: P = 72,000 J / 60 s = 1,200 W.

Thus, the power of the hair dryer is 1,200 watts.