what is the available energy content, in joules, of a battery that operates a 1.70 w electric clock for 22 months?

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26-03-2025
Physics

High School

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what is the available energy content, in joules, of a battery that operates a 1.70 w electric clock for 22 months?

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CherrylHannah CherrylHannah · Answer 1 · 2024-04-17T07:18:14-04:00

The available energy content of the battery is approximately 96,964,800 joules when it operates the 1.70 W electric clock for 22 months.

The available energy content of a battery can be calculated by multiplying the power of the electric device it operates by the duration of its operation. In this case, the electric clock has a power of 1.70 W and operates for 22 months.

To calculate the energy content, we need to convert the time from months to seconds, as energy is measured in joules and power is measured in watts.

First, let's convert the time from months to seconds:
22 months * 30 days/month * 24 hours/day * 60 minutes/hour * 60 seconds/minute = 57,024,000 seconds

Now that we have the time in seconds, we can calculate the energy content:
Energy = Power * Time
Energy = 1.70 W * 57,024,000 s

= 96,964,800 joules

Therefore, the available energy content of the battery is approximately 96,964,800 joules when it operates the 1.70 W electric clock for 22 months.

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