[dsqrt]

Matter in neutron stars is compressed together by the enormous gravity. Once set free on your floor, this material would no longer be held together and will start expanding at close to the speed of light. The resulting explosion will probably obliterate the entire continent. A crude way to estimate it is to take into account the fact that the gravitational binding energy of matter at the surface of a neutron star is about 10% of the rest mass energy of the material, so once that material is removed it will liberate as much energy (If I got the numbers right, you get an explosion energy of 0.1 m c^2 ~ 10^13 megatons).