Problem: Is an asteroid the size of a house a danger to Earth?
(a) Imagine that a house sized asteroid (a size of ∼ 10[m]) is moving toward earth with a speed of v = 30[km/s]. Given the average density of rock (∼ 8[g/cm3]) you conclude that this asteroid could have a mass of m ≈ 107[kg]. What is the kinetic energy of this asteroid? Express your final answer in Joules.
(b) The first nuclear bombs released energies of E = 8.4 × 1010[J]. How much more or less energetic would a impact from a house sized asteroid be?