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

1 answer

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.