A spacecraft passes by the earth with a relative velocity of 0.02 times the speed of light. Shortly after it has passed earth, it has a near miss with an asteroid that crosses directly in front of the ships path. The ship's sensors detect that the asteroid was only 1000 km from the ship's front when it crossed and the ship's clock says that 61.101 seconds had elapsed since the ship passed earth at that moment. Tip: Start by defining the relevant events and the coordinate systems. (3) lb) (C) (d) (8) Using Galilean relativity, determine how far the asteroid was from the earth at that moment according to an observer on earth. Write your answer in scientific notation with 7 significant digits. Using special relativity, determine how far the asteroid was from the earth at that moment according to an observer on earth. Write your answer in scientific notation with 7 significant digits. (Use special relativity for the remainder of the questions) Determine how much time has elapsed for an observer on earth between when the ship passed earth and when the asteroid crossed the path of the ship. Write your answer with 7 significant digits. If the clocks on the ship and on earth used to measure the time have an uncertainty of 1 millisecond. Do the two clocks agree on when the asteroid crossed the ships path? Why or why not? Hint: use the ttest. If the spacecraft was instead travelling at 5.7x10'a km/h with respect to earth would the two clocks agree when the asteroid crossed the ships path? Why or why not