Question

Which situation describes the highest rate of power?

A. An engine does 100 joules of work in 3 seconds.
B. An engine does 100 joules of work in 2 seconds.
C. An engine does 50 joules of work in 2 seconds.
D. An engine does 50 joules of work in 3 seconds

Answer 1

Answer: B

Step-by-step explanation:

Answer 2

Power is the amount of work done over a period of time. The formula would then be:


`P = (w)/(t)`

Where:
P = Power (W or watts)
w = Work (J or Joules)
t = Time (s or seconds)

To solve your problem, you just need to solve for power for each option. Now remember when you solve for problems like this, it is best that you know what is given and the formula. You then just plug in what you know and solve for what you don't know.

A. An engine does 100 joules of work in 3 seconds.
Given:
w = 100 Joules
t = 3 seconds


`P = (w)/(t)`

`P = (100J)/(3s)`

`P = 33.33W`

B. An engine does 100 joules of work in 2 seconds.
Given:
w = 100 Joules
t = 2 seconds


`P = (w)/(t)`

`P = (100J)/(2s)`

`P = 50W`

C. An engine does 50 joules of work in 2 seconds.
Given:
w = 50 Joules
t = 2 seconds


`P = (w)/(t)`

`P = (50J)/(2s)`

`P = 25W`

D. An engine does 50 joules of work in 3 seconds
Given:
w = 50 Joules
t = 3 seconds


`P = (w)/(t)`

`P = (100J)/(3s)`

`P = 16.67W`

Now that we have the power of each, all you need to do is compare.
A = 33.33W
B = 50W
C = 25W
D = 16.67W

The highest rate of power then is B. 50W.