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What is the power when 2825 J of energy are consumed in 61 hours? NOTE: Round to two digits after the decimal point and remember to include the units. Answer: 46.31 P \( = \) W/t Try again

Ask by Newton Bolton. in the United States
Mar 09,2025

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The power is approximately 0.01 W.

Solución

To find the power when 2825 J of energy are consumed in 61 hours, we can use the formula for power: \[ P = \frac{E}{t} \] where: - \( P \) is the power in Watts (W), - \( E \) is the energy in Joules (J), - \( t \) is the time in seconds (s). Given: - Energy (\( E \)) = 2825 J - Time (\( t \)) = 61 hours First, we need to convert the time from hours to seconds: \[ 61 \text{ hours} = 61 \times 3600 \text{ seconds} = 219600 \text{ seconds} \] Now, we can calculate the power: \[ P = \frac{2825 \text{ J}}{219600 \text{ s}} \] Let's calculate the power. Calculate the value by following steps: - step0: Calculate: \(\frac{2825}{219600}\) - step1: Reduce the fraction: \(\frac{113}{8784}\) The power when 2825 J of energy are consumed in 61 hours is approximately 0.012864 W. Rounding to two digits after the decimal point, the power is approximately 0.01 W. Therefore, the power is approximately 0.01 W.

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Beyond the Answer

To find the power when 2825 J of energy is consumed over 61 hours, you can use the formula P = W/t, where W is work done in joules and t is time in seconds. First, convert 61 hours into seconds: 61 hours × 3600 seconds/hour = 219600 seconds. Now, divide the energy consumed by the time in seconds: P = 2825 J / 219600 s = 0.01284 W. Rounding to two digits after the decimal point gives you P ≈ 0.01 W. For practical purposes, most people use power in watts, which already aligns with energy in joules with time in seconds—keeping you grounded in everyday energy consumption. Remember, a watt is simply one joule per second, so the conversion keeps everything clear! A common mistake is forgetting to convert hours to seconds, which can dramatically skew power calculations. Always double-check your units, because a small slip can lead to much larger errors! So let’s not lose those crucial seconds—literally!

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