To calculate the energy transferred by the generator, follow these steps:
1. Understand the given data:
- Power ([tex]\(P\)[/tex]) = [tex]\(2.5 \times 10^6\)[/tex] watts
- Time ([tex]\(t\)[/tex]) = 5 hours
2. Convert the time from hours to seconds:
[tex]\[
5 \text{ hours} = 5 \times 60 \times 60 = 18000 \text{ seconds}
\][/tex]
3. Use the formula for energy transferred:
- Energy transferred ([tex]\(E\)[/tex]) is given by the formula:
[tex]\[
E = P \times t
\][/tex]
4. Substitute the given values into the formula:
- Power ([tex]\(P\)[/tex]) = [tex]\(2.5 \times 10^6\)[/tex] watts
- Time ([tex]\(t\)[/tex]) = 18000 seconds
[tex]\[
E = 2.5 \times 10^6 \text{ W} \times 18000 \text{ s}
\][/tex]
5. Calculate the energy transferred:
[tex]\[
E = 2.5 \times 10^6 \times 18000 = 45000000000 \text{ joules}
\][/tex]
So, the energy transferred by the generator is [tex]\(45,000,000,000\)[/tex] joules or [tex]\(4.5 \times 10^{10}\)[/tex] joules.
