VIPSolutionsSolve the question as stated with a graph and solve the question in 2 steps with examples and the final answer.Power Question: If an engine does 6000 J of work in 10 seconds, what is its power output?
Question:
Solve the question as stated with a graph and solve the question in 2 steps with examples and the final answer.Power Question: If an engine does 6000 J of work in 10 seconds, what is its power output?
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Asked by: Rahul
Created at: 2025-12-29 17:58:51
Asked by: Rahul
Created at: 2025-12-29 17:58:51
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# Power Calculation
## Step 1: Write the Power Formula
**Power** is defined as the rate at which work is done:
\[
\text{Power} = \frac{\text{Work}}{\text{Time}}
\]
Given:
- Work (\(W\)) = 600 J
- Time (\(t\)) = 10 s
## Step 2: Calculate the Power
Substitute the values:
\[
\text{Power} = \frac{600\, \text{J}}{10\, \text{s}} = 600\, \text{W}
\]
**Final Answer:**
The engine's power output is **600 watts (W)**.
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## Example Graph
Below is a graph showing work done over time and the resulting power output.
- The **slope** of the line (\( \frac{\Delta \text{Work}}{\Delta \text{Time}} \)) is the power:
\( \frac{600\, \text{J}}{10\, \text{s}} = 600\, \text{W} \).
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## Summary
- **Step 1:** Write the formula \( P = \frac{W}{t} \)
- **Step 2:** Substitute values: \( P = \frac{600}{10} = 600\,\text{W} \)
**Final Answer:**
**600 W**
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