Suppose a neutron star with a mass of about 1.5MSun and a radius of 10 kilometers suddenly appeared in your hometown. Part A How thick a layer would Earth form as it wraps around the neutron star’s surface? Assume that the layer formed by Earth has the same average density as the neutron star. (Hint: Consider the mass of Earth to be distributed in a spherical shell over the surface of the neutron star and then calculate the thickness of such a shell with the same mass as Earth. The volume of a spherical shell is approximately its surface area times its thickness: Vshell=4πr2×thickness. Because the shell will be thin, you can assume that its radius is the radius of the neutron star.) How thick a layer would Earth form as it wraps around the neutron star’s surface? Assume that the layer formed by Earth has the same average density as the neutron star. (Hint: Consider the mass of Earth to be distributed in a spherical shell over the surface of the neutron star and then calculate the thickness of such a shell with the same mass as Earth. The volume of a spherical shell is approximately its surface area times its thickness: . Because the shell will be thin, you can assume that its radius is the radius of the neutron star.) ≈6.4×103km ≈35cm ≈7mm ≈10km