On Oct $312015$ a massive asteroid TB$145$ nicknamed "Spooky" passed near the Earth.$$ The measured diameter of the asteroid is $500$meters and its speed relative to the Sun:$34\mathrm{.}0$ km$/$s$.$

$($NOTE you are not given the parameters of collision, so they become important part of the "worst case $$best case scenario."$)$ Treat the asteroid as spherical object with the density of between $2$g$/$cm$3$ to $5$g$/$cm$3.$

Treat an Earth orbit around the Sun as a perfect circle of radius $=150$ x $106$ km$.$ Take one year$$ to be $365\mathrm{.}24$days.

Find the Minimum energy released in the completely inelastic collision of this object with Earth. State your answers to the nearest mega$-$ton of TNT$.(1$ megaton of TNT$=4\mathrm{.}184$ x$10^15$J$).$