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viniterranova

  • 2 years ago

A astronaut has 100 kg of mass. Unfortunately the mass of his body was spread out in a sphere. After that, the density inside the sphere is 2x10^-28 kg/m^3. What is the radius of the sphere where the mass of the astronaut was spread out?

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  1. sauravshakya
    • 2 years ago
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    Density = MASS/VOLUME

  2. sauravshakya
    • 2 years ago
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    use it to find the volume of the sphere

  3. viniterranova
    • 2 years ago
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    I just set up the following relation 6x10^-28=100kg/V

  4. sauravshakya
    • 2 years ago
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    Yes u r correct. PLZ CONTINUE

  5. viniterranova
    • 2 years ago
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    So, with some algebric manipulation i found this relation V=1x10^2/6x10^-28 and i got V=1/6x10^30.

  6. viniterranova
    • 2 years ago
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    I think this is the volume of the sphere.

  7. sauravshakya
    • 2 years ago
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    Now, Volume of a sphere=4/3 pi r^3

  8. sauravshakya
    • 2 years ago
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    Use it to find r

  9. viniterranova
    • 2 years ago
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    I just plug it in the formual, right?

  10. sauravshakya
    • 2 years ago
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    YEp, 1/6x10^30 = 4/3 pi r^3

  11. sauravshakya
    • 2 years ago
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    got it?

  12. viniterranova
    • 2 years ago
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    Just one moment.

  13. viniterranova
    • 2 years ago
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    i got 1,46459

  14. sauravshakya
    • 2 years ago
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    But I got different

  15. viniterranova
    • 2 years ago
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    What do you got?

  16. viniterranova
    • 2 years ago
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    i write the equation in this order. cubic root of 1/6x10^30=4/3phi*r

  17. viniterranova
    • 2 years ago
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    Now i got 4,12740906x10^9 m

  18. sauravshakya
    • 2 years ago
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    Density= MASS/ VOLUME 2x10^-28=100/VOLUME VOLUME=50 * 10 ^28 4/3 pi r^3 = 50 * 10^28 r^3=4923725109

  19. viniterranova
    • 2 years ago
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    That ´s right.

  20. sauravshakya
    • 2 years ago
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    r=4923725109

  21. viniterranova
    • 2 years ago
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    How do u calculate the 2x10^-28=100/VOLUME. Plz do it step by step.

  22. sauravshakya
    • 2 years ago
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    DEnsity =MASS/ VOLUME

  23. sauravshakya
    • 2 years ago
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    Now, substitute the given values

  24. viniterranova
    • 2 years ago
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    thanks

  25. sauravshakya
    • 2 years ago
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    :)yw

  26. viniterranova
    • 2 years ago
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    But sorry i can´t understant how do you calculate 2x10^-28=100/VOLUME. May you do it plz?

  27. viniterranova
    • 2 years ago
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    When i calculate V i have found 50/3x10^28. How did you got 50 * 10 ^28. PLz.

  28. sauravshakya
    • 2 years ago
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    100/2 =50 right?

  29. viniterranova
    • 2 years ago
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    Yes, but where did you find the number two? If we have the division 100/6?

  30. viniterranova
    • 2 years ago
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    Did you divide 6/3. I got it. now.

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