Part A: The sun produces 3.9 ⋅ 1033 ergs of radiant energy per second. How many ergs of radiant energy does the sun produce in 1.55 ⋅ 107 seconds? (5 points)

Part B: Which is the more reasonable measurement of the diameter of a human hair:
1.8 ⋅ 10−2 mm or 1.8 ⋅ 102 mm? Justify your answer. (5 points)

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Using the multiplication operation, the Number of ergs produced in [tex]1.55 \times 10^{7} [/tex] is [tex] 6.045 \times 10^{40} \: ergs [/tex]

  • Eggs produced per second = [tex]3.9 \times 10^{33} [/tex]

  • Number of seconds = [tex]1.55 \times 10^{7} [/tex]

Total number of ergs produced can be calculated thus :

  • Ergs per second × number of seconds

[tex]3.9 \times 10^{33} \times 1.55 \times 10^{7} = 6.045 \times 10^{33+7} = 6.045 \times 10^{40} \: ergs [/tex]

Therefore, the Number of ergs produced in [tex]1.55 \times 10^{7} [/tex] is [tex] 6.045 \times 10^{40} \: ergs [/tex]

B.)

Due to the very small measure of the diameter of the human hair, a measure of [tex]1.8 \times 10^{2} mm[/tex] would be too large, Hence, the value [tex]1.8 \times 10^{-2} mm[/tex] would be more appropriate

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