Answer
(a) $3\times 10^{26}$
(b) $800nm$
Work Step by Step
(a) We can find the number of nucleons as follows:
$M=\frac{W}{g}$
$\implies m=\frac{1lb(\frac{4.448lb}{1lb})}{9.8m/s^2}$
$m=0.454Kg$
Now, the number of nucleons is given as
$n=\frac{M}{m}$
We plug in the known values to obtain:
$n=\frac{0.454Kg}{14.6\times 10^{27}Kg}$
$n=3\times 10^{26}$
(b) We can find the required radius as
$r=(1.2\times 10^{-15})(3\times 10^{26})^{\frac{1}{3}}$
$r=800\times 10^{-9}m=800nm$
