Sure, let's go through the solution step-by-step:
1. Identify the given information:
- Work done by the engine, [tex]\( W = 60,000 \)[/tex] Joules
- Time taken to do the work, [tex]\( t = 10 \)[/tex] seconds
2. Understand what needs to be found:
- We need to calculate the power output of the engine. Power is defined as the rate at which work is done.
3. Recall the formula for power:
- The formula for power [tex]\( P \)[/tex] is given by:
[tex]\[
P = \frac{W}{t}
\][/tex]
where [tex]\( W \)[/tex] is the work done, and [tex]\( t \)[/tex] is the time taken.
4. Substitute the given values into the formula:
- Here, [tex]\( W = 60,000 \)[/tex] Joules and [tex]\( t = 10 \)[/tex] seconds. Substituting these values into the formula, we get:
[tex]\[
P = \frac{60,000 \text{ J}}{10 \text{ s}}
\][/tex]
5. Calculate the power:
- Dividing 60,000 Joules by 10 seconds gives:
[tex]\[
P = 6,000 \text{ Watts}
\][/tex]
6. Conclusion:
- The power output of the engine is [tex]\( 6,000 \)[/tex] Watts.
So, the power output of an engine that does 60,000 Joules of work in 10 seconds is 6,000 Watts.
