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Anonymous asked in Science & MathematicsPhysics · 1 month ago

Physics problem?

I keep getting 1.26x10^-29 but the correct answer is 4x10^35m^3. Can someone explain what I'm doing wrong? 

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2 Answers

  • NCS
    Lv 7
    1 month ago

    volume of a sphere = (4π/3)r³

    so for a single proton

    V = (4π/3)*(1E-15m)³ = 4.2E-45 m³

    You've got 10^80 (1E80) of them, so the total volume of all of the protons is 4.2E-45m³ * 1E80 = 4.2E35 m³ ◄

    which should be rounded to 4E35 m³ as you've indicated.

    I can't fathom how you got to 1.26x10^-29, so it isn't possible to explain what you're doing wrong. You are 64 orders of magnitude off. Hard to figure.

    It might be interesting to note a couple of things.

    1. A sphere of that volume has radius 4.6E11 m (about twice Mars' average distance from the sun).

    2. If the protons are placed "in contact with one another," the actual volume of the sphere would be about 30% larger due to all of the tiny voids between the spheres.

    3. Since all of these protons are positively charged, the forces required to create such an arrangement are unimaginable!

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  • oubaas
    Lv 7
    1 month ago

    Volume of 1 proton Vp = 0.52360*8*10^-45 = 4.188*10^-45 m^3

    V sphere Vs :

    Vs = n prot.* Vp = 10^80*4.188*10^-45 = 4.188*10^(80-45) = 4.2*10^35 m^3

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