5. Most of the time we can ignore Einstein's theory and use Newton's laws since in our everyday world things rarely travel at great speeds. However, the following is a real-life 'everyday' example of relativity in action, and is one of the proofs that Einstein's theory is correct. Muons are produced high above the earth (typically 20km) from energetic protons in cosmic rays impacting on nuclei of atoms in our atmosphere. After these collisions the muons are typically travelling at 0.999 times the speed of light. The half life for muons is 1.5us. What percentage of muons would be observed at sea-level (i) according to Newton (ii) according to Einstein?

5. Most of the time we can ignore Einstein's theory and use Newton's laws since in our everyday world things rarely travel at great speeds. However, the following is a real-life 'everyday' example of relativity in action, and is one of the proofs that Einstein's theory is correct. Muons are produced high above the earth (typically 20km) from energetic protons in cosmic rays impacting on nuclei of atoms in our atmosphere. After these collisions the muons are typically travelling at 0.999 times the speed of light. The half life for muons is 1.5us. What percentage of muons would be observed at sea-level (i) according to Newton (ii) according to Einstein?