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8. Batman recharges his Bat-taser with 2.5M) of energy in 15 minutes How much Power does it draw from the mains? __

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8. Batman recharges his Bat-taser with 2.5M) of energy in 15 minutes How much Power does it draw from the mains? __

8. Batman recharges his Bat-taser with 2.5M) of energy in 15 minutes How much Power does it draw from the mains? __

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JuliaVeteran · Tutor for 9 years

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### The power drawn from the mains is approximately \(2777.78 \text{ W}\).

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## Step 1: Convert Energy to Joules<br />### Convert the given energy from megajoules (MJ) to joules (J). Since \(1 \text{ MJ} = 10^6 \text{ J}\), we have:<br />\[2.5 \text{ MJ} = 2.5 \times 10^6 \text{ J}\]<br /><br />## Step 2: Convert Time to Seconds<br />### Convert the given time from minutes to seconds. Since \(1 \text{ minute} = 60 \text{ seconds}\), we have:<br />\[15 \text{ minutes} = 15 \times 60 \text{ seconds} = 900 \text{ seconds}\]<br /><br />## Step 3: Calculate Power<br />### Use the formula for power, \(P = \frac{E}{t}\), where \(E\) is energy in joules and \(t\) is time in seconds. Substituting the values:<br />\[P = \frac{2.5 \times 10^6 \text{ J}}{900 \text{ s}}\]<br /><br />## Step 4: Simplify the Expression<br />### Simplify the fraction to find the power:<br />\[P = \frac{2.5 \times 10^6}{900} = \frac{2500000}{900} \approx 2777.78 \text{ W}\]
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