Review I Constants

Part A

Neutron stars, such as the one at the center of the Crab Nebula, have about the same mass as our sun but a much smaller diameter.

If you weigh $675N$ on the earth, what would be your weight on the surface of a neutron star that has the same mass as our sun and a diameter of $22\mathrm{.}0km?$

Take the mass of the sun to be $m_s=1\mathrm{.}99{10}^{30}kg,$ the gravitational constant to be $G=6\mathrm{.}67{10}^{-11}N*\frac{m^2}{k}{g}^2,$ and the free$-$fall acceleration at the earth's surface to be $g=9\mathrm{.}8\frac{m}{s^2}$

Express your weight $w_{\text{s}\text{t}\text{a}\text{r}}$ in newtons.

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