Answer
See answers.
Work Step by Step
a. Calculate the mass number using equation 30–1.
$$A=(\frac{r}{1.2\times10^{-15}m})^3=(\frac{5000m}{1.2\times10^{-15}m })^3\approx 7\times 10^{55}$$
b. Find the mass of the neutron star in kg.
$$m=A(1.66\times10^{-27}kg/u)$$
$$= (7.23\times 10^{55}u)(1.66\times10^{-27}kg/u)$$
$$\approx 1 \times 10^{29}kg$$
c. Calculate the acceleration of gravity on the surface using equation 5–5.
$$g=\frac{GM}{r^2}=\frac{(6.67\times10^{-11}Nm^2/kg^2)( 1.20 \times 10^{29}kg)}{(5000m)^2}$$
$$\approx 3\times10^{11}m/s^2$$