Looking for answers? Westonci.ca is your go-to Q&A platform, offering quick, trustworthy responses from a community of experts. Explore our Q&A platform to find in-depth answers from a wide range of experts in different fields. Join our platform to connect with experts ready to provide precise answers to your questions in different areas.
Sagot :
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.
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.
We appreciate your time on our site. Don't hesitate to return whenever you have more questions or need further clarification. We hope this was helpful. Please come back whenever you need more information or answers to your queries. We're glad you visited Westonci.ca. Return anytime for updated answers from our knowledgeable team.