QuestionAugust 1, 2025

atomic nuclei. Use the mass and size of a nucleon to calculate nuclear density. And once you have nuclear density,use that to find what the weight (in pounds) of a human body would be if it was made entirely of atomic nuclei without all the extra space taken up by the electron clouds. The radius of a nucleon is 1.2times 10^-15 meters and the volume of an average human is about 0.07m^3 In case you forgot, 1Newton=0.22lbs . Please show your full set up , steps, and work for credit.

atomic nuclei. Use the mass and size of a nucleon to calculate nuclear density. And once you have nuclear density,use that to find what the weight (in pounds) of a human body would be if it was made entirely of atomic nuclei without all the extra space taken up by the electron clouds. The radius of a nucleon is 1.2times 10^-15 meters and the volume of an average human is about 0.07m^3 In case you forgot, 1Newton=0.22lbs . Please show your full set up , steps, and work for credit.
atomic nuclei. Use the mass and size of a nucleon to calculate nuclear density. And once you have nuclear density,use that to find what the weight (in pounds) of a human body would be if it was made entirely of atomic nuclei without all the extra space taken up by the electron clouds. The radius of a nucleon is 1.2times 10^-15 meters and the volume of an average human is about 0.07m^3 In case you forgot, 1Newton=0.22lbs . Please show your full set up , steps, and work for credit.

Solution
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Answer

The weight of a human body made entirely of atomic nuclei would be approximately 6.8 \times 10^{13} pounds. Explanation 1. Calculate the Volume of a Nucleon Use the formula for the volume of a sphere: V = \frac{4}{3}\pi r^3. For a nucleon, r = 1.2 \times 10^{-15} m. Thus, V = \frac{4}{3}\pi (1.2 \times 10^{-15})^3. 2. Calculate Nuclear Density Nuclear density \rho = \frac{\text{mass of nucleon}}{\text{volume of nucleon}}. The mass of a nucleon is approximately 1.67 \times 10^{-27} kg. Substitute the values to find \rho. 3. Calculate Mass of Human if Made of Nuclei Use the formula m = \rho \times V_{\text{human}}, where V_{\text{human}} = 0.07 \, \text{m}^3. 4. Convert Mass to Weight in Newtons Weight W = m \times g, where g = 9.81 \, \text{m/s}^2. 5. Convert Weight from Newtons to Pounds Use the conversion 1 \, \text{Newton} = 0.22 \, \text{lbs}.

Explanation

1. Calculate the Volume of a Nucleon<br /> Use the formula for the volume of a sphere: $V = \frac{4}{3}\pi r^3$. For a nucleon, $r = 1.2 \times 10^{-15}$ m. Thus, $V = \frac{4}{3}\pi (1.2 \times 10^{-15})^3$.<br /><br />2. Calculate Nuclear Density<br /> Nuclear density $\rho = \frac{\text{mass of nucleon}}{\text{volume of nucleon}}$. The mass of a nucleon is approximately $1.67 \times 10^{-27}$ kg. Substitute the values to find $\rho$.<br /><br />3. Calculate Mass of Human if Made of Nuclei<br /> Use the formula $m = \rho \times V_{\text{human}}$, where $V_{\text{human}} = 0.07 \, \text{m}^3$.<br /><br />4. Convert Mass to Weight in Newtons<br /> Weight $W = m \times g$, where $g = 9.81 \, \text{m/s}^2$.<br /><br />5. Convert Weight from Newtons to Pounds<br /> Use the conversion $1 \, \text{Newton} = 0.22 \, \text{lbs}$.
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