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anonymous

  • one year ago

Dimensional Analysis question A very large unit of measurement is the zettameter (zm). 1 zm = 1021 m, but astronomers measures distances in even bigger units called astronomical units (the au). One au is defined to be approximately 107 miles (the average distance between the center of the earth and the center of the sun). An even bigger unit is called the parsec, which is equal to about 2x105 au. When astronomers talk about intergalactic space however it’s even more convenient to use units of kiloparsecs. Given that 1.6 km = 1 mile, about how many kiloparsecs are there in a zettameter?

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  1. anonymous
    • one year ago
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    Do you understand some of it?

  2. anonymous
    • one year ago
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    I got to go in 17min, so the more responsive you are, the faster we finish.

  3. anonymous
    • one year ago
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    Yes, the work I've came up with so far is, 10^18 km x (1mi/1.6 km) x (1au/10^7 mi ) x )1 Kiloparsec/2x10^8 au)

  4. anonymous
    • one year ago
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    I got 3 x 10^18 Kiloparsecs, but the answer key says the answer is 1/3 x 10^3 Kiloparsecs I don't know what I'm doing wrong

  5. anonymous
    • one year ago
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    the conversions should be 1 zm = 10^21 m 1 au = 10^7 mi 1 parsec = 2x10^5 au

  6. anonymous
    • one year ago
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    and so 1 kiloparsec= 2x10^8 au

  7. anonymous
    • one year ago
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    1000 parsec=1 parsec 1 parsec=2,00,000Au 1Au=107 miles 1zm=1021m

  8. anonymous
    • one year ago
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    Yes you right.

  9. anonymous
    • one year ago
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    But after calculating, my final answer is different from the answer in the answer key

  10. anonymous
    • one year ago
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    one zm has 1021m, so lets start with that.

  11. anonymous
    • one year ago
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    is my setup wrong?

  12. anonymous
    • one year ago
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    its meant to be 10^21

  13. anonymous
    • one year ago
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    I converted 10^21 m to km, which is 10^18 km

  14. anonymous
    • one year ago
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    \[\frac{ 1021m }{ 1 } \times \frac{ 0.001km }{ 1m } \times \frac{ 1mile }{ 1.6km } \times \frac{ 1Au }{ 107miles } \times \frac{ 1 parsec }{ 2\times10^5 Au } \times \frac{ 0.001 kiloparsec }{ 1 parsec }\]

  15. anonymous
    • one year ago
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    ahh i forgot to convert parsec to kiloparsec thanks so much!!

  16. anonymous
    • one year ago
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    Ah, nice job attempting though!

  17. anonymous
    • one year ago
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    I have to go now. If you have any questions in 2 hours, I can help.

  18. anonymous
    • one year ago
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    alright thanks so much

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