Question

How long does it take a 1.51 × 10^4 W steam engine to do 8.72 × 10^6 J of work? Round your answer to three significant figures. 1.02 × 10^1 s 5.77 × 10^2 s 7.21 × 10^5 s 1.32 × 10^11 s

Answer 1

B) 5.77 × 10^2 s

Step-by-step explanation:

Answer 2

5.77 × 10^2 s

Step-by-step explanation:

Power is defined as the amount of work done divided by the tima taken to do that work:

`P=(W)/(t)`

where W is the work done and t the time taken.

In this problem, we have:

- the power:
`P=1.51 \cdot 10^4 W`

- the work done:
`W=8.72 \cdot 10^6 J`

So we can re-arrange the previous equation to find the time taken:

`t=(W)/(P)=(8.72 \cdot 10^6 J)/(1.51 \cdot 10^4 W)=5.77\cdot 10^2 s`