Pregunta
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12. A job is done slowly, and an identica, ob is done quickly. Both jobs require the same amount of but different amounts of \( \square \). Pick the two words which fill in the blanks in their respective order. Word Bank: energy, work, power, force

Ask by Barker Li. in the United States
Mar 10,2025

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The first blank should be filled with "work" and the second with "power."

Solución

1. Define the concepts: - **Work** is the total amount of effort required to complete a job, regardless of the time taken. - **Power** is the rate at which work is performed, calculated as \( \text{Power} = \frac{\text{Work}}{\text{Time}} \). 2. Analyze the scenario: - For two identical jobs, even if one is done slowly and the other quickly, the **total work** required is the same. - The difference lies in how quickly that work is done, which means the jobs have different **power** outputs. 3. Identify the words from the word bank: - The blanks should be filled with **work** for the first blank (indicating the unchanged total amount of effort) and **power** for the second blank (indicating the rate of doing the work). Thus, the correct words are: 1st blank: \( \text{work} \) 2nd blank: \( \text{power} \)

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Mind Expander

The first blank should be filled with "work," as both jobs involve accomplishing the same task but at different speeds. The second blank should be filled with "energy," reflecting the different amounts of energy expended to complete them. So the completed sentence reads: "Both jobs require the same amount of work but different amounts of energy." Shall we dive into a fun historical tidbit? The concept of work and energy can be traced back to the pioneering ideas of scientists like James Prescott Joule, who demonstrated the relationship between heat and mechanical work in the 19th century. His experiments laid the groundwork for the first law of thermodynamics, fundamentally altering our understanding of energy! Now, if you're curious about real-world applications, consider how this principle applies in factories. Engineers must balance the power required to run machines efficiently while maintaining the quality of work. Understanding how energy consumption relates to varying speeds in job execution can lead to more sustainable and cost-effective production methods!

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