Math Problem Statement

a car engine does 150,000 J to work to move a car 500 m in 20 seconds. what is the power output of the engine?

Solution

The power output of the engine can be calculated using the formula:

Power=WorkTime\text{Power} = \frac{\text{Work}}{\text{Time}}

Given:

  • Work done, W=150,000JW = 150,000 \, \text{J}
  • Time, t=20st = 20 \, \text{s}

Substitute these values into the formula:

Power=150,000J20s\text{Power} = \frac{150,000 \, \text{J}}{20 \, \text{s}}

Power=7,500W\text{Power} = 7,500 \, \text{W}

So, the power output of the engine is 7,500 watts (W).

Would you like more details or have any questions?

Here are some related questions:

  1. What is the relationship between work, power, and time?
  2. How does the power output change if the time is reduced?
  3. What unit conversions are needed if we want the power in horsepower?
  4. How would the distance traveled affect the calculation if power were calculated differently?
  5. How can efficiency be considered if fuel energy is also provided?

Tip: Remember that power is a measure of how quickly work is done, not the total amount of work itself.

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Math Problem Analysis

Mathematical Concepts

Physics
Work-Energy Principle
Power Calculation

Formulas

Power = Work / Time

Theorems

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Suitable Grade Level

Grade 9-10