Calculate the energy required to change the arrival time of a near earth object of mass 10,000 MT by a distance equal to the diameter of Earth using laser ablation. Assume an ejection velocity of the material at 10,000 m/sec. Compare with the energy required to vaporize the same NEO. Assume the material is granite or a similar type of material. Assume the effiiency with which the energy is used is 100% for both methods.