Question

Emily's vacuum cleaner has a power rating of 200 W. If the vacuum cleaner does 360,000 J of work, how long did Emily spend vacuuming? (t = W/P)

Answer 1

Emily spent 30 minutes vacuuming with her 200 W vacuum cleaner, having done 360,000 J of work, calculated by dividing the work by the power (t = W/P).

Step-by-step explanation:

To find out how long Emily spent vacuuming, we can use the relationship between power, work, and time (t = W/P). Given Emily's vacuum cleaner has a power rating of 200 W, which means it uses energy at a rate of 200 joules per second. The total amount of work done by the vacuum cleaner is 360,000 J. Using the formula, we calculate the time as:

Time (t) = Work (W) / Power (P) = 360,000 J / 200 W = 1,800 seconds.

To get this time in minutes, we divide by 60 (since there are 60 seconds in a minute):

Time in minutes = 1,800 seconds / 60 = 30 minutes. Therefore, Emily spent 30 minutes vacuuming.