Question

A 190,000 W engine can accelerate from rest to a top speed in 9 s. How much work did the engine do?

Answer 1

To find out how much work the engine did, we can use the relationship between power, work, and time. The formula relating these quantities is:

\[
\text{Power} = \frac{\text{Work}}{\text{Time}}
\]

Rearranging the formula to solve for work gives us:

\[
\text{Work} = \text{Power} \times \text{Time}
\]

We know the following values:

- Power = 190,000 W (or 190 kW)
- Time = 9 s

Now we can substitute these values into the equation:

\[
\text{Work} = 190,000 \, \text{W} \times 9 \, \text{s}
\]

Calculating this gives:

\[
\text{Work} = 1,710,000 \, \text{J}
\]

Therefore, the engine did **1,710,000 Joules** of work.