A roughly spherical asteroid with a diameter of 1 km, and a mean density of 4 g/cm^3, hits the Earth with a relative speed 1.5 times the orbital velocity of the Earth. Compute the amount of energy released upon the impact. Compare that with the energy released by a 10-Megaton thermonuclear bomb, which is about 4.2 x 10^27 erg. Contemplate the value of a search for Earth-crossing asteroids. Please be sure to enter your answer in units of ergs (the CGS unit of energy). Note: 1 Joule = 10^7 ergs.
Energy released upon impact: