Answer
See answers.
Work Step by Step
a. Find the number of nucleons by dividing the mass of the Earth by the mass of a nucleon.
$$A=\frac{5.98\times10^{24}kg}{1.67\times10^{-27}kg}=3.581\times10^{51}$$
Use equation 30–1 to find the radius.
$$r=(1.2\times10^{-15}m)A^{1/3}=183.6m\approx 1.8 \times10^2 m$$
b. Find the number of nucleons by dividing the mass of the sun by the mass of a nucleon.
$$A=\frac{1.99\times10^{30}kg}{1.67\times10^{-27}kg}=1.192\times10^{57}$$
Use equation 30–1 to find the radius.
$$r=(1.2\times10^{-15}m)A^{1/3}=12722m\approx 1.3 \times10^4 m$$