Question

The sun generates about 4×10 power of 26 Jolie of energy every second there are about 3.5×10 power of seven seconds in a year about how many Jolie’s of energy does the sun generate in a year right the answer and scientific notation expressed the answer to the exact decimal place

Answer 1

To find the total energy generated by the Sun in a year, you can multiply the energy generated per second by the number of seconds in a year.

Given:
- Energy generated per second by the Sun \( = 4 \times 10^{26} \) joules
- Seconds in a year \( = 3.5 \times 10^{7} \)

Now, calculate the total energy generated in a year:

\[
\text{Total Energy} = (\text{Energy per second}) \times (\text{Seconds in a year})
\]

Substituting the values:

\[
\text{Total Energy} = (4 \times 10^{26}) \times (3.5 \times 10^{7})
\]

Now, multiply the coefficients and the powers of ten separately:

1. Multiply the coefficients:
\[
4 \times 3.5 = 14
\]

2. Add the exponents for the powers of ten:
\[
10^{26} \times 10^{7} = 10^{(26 + 7)} = 10^{33}
\]

Putting it all together, we have:
\[
\text{Total Energy} = 14 \times 10^{33}
\]

To express this in proper scientific notation, we need to adjust the coefficient (14) to be between 1 and 10:

\[
14 = 1.4 \times 10^{1}
\]
Thus,
\[
14 \times 10^{33} = 1.4 \times 10^{1} \times 10^{33} = 1.4 \times 10^{34}
\]

Therefore, the total energy generated by the Sun in a year, expressed in scientific notation, is:

\[
\boxed{1.4 \times 10^{34}} \text{ joules}
\]