An absent-minded astronaut departs from earth travelling at 3/4c, forgetting to take his lunch. A second rocket is sent up but it only travels at 1/2c. In a desparate attempt to save the astronaut from starvation, his lunch is put on an escape capsule which is ejected from the rocket at 1/3c. Will the astronaut get his sandwiches: (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 ) according to Newton (ii) according to Einstein?

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4. An absent-minded astronaut departs from earth travelling at 3/4c, forgetting to take his lunch. A
second rocket is sent up but it only travels at 1/2c. In a desparate attempt to save the astronaut
from starvation, his lunch is put on an escape capsule which is ejected from the rocket at 1/3c.
Will the astronaut get his sandwiches: (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?
Transcribed Image Text:4. An absent-minded astronaut departs from earth travelling at 3/4c, forgetting to take his lunch. A second rocket is sent up but it only travels at 1/2c. In a desparate attempt to save the astronaut from starvation, his lunch is put on an escape capsule which is ejected from the rocket at 1/3c. Will the astronaut get his sandwiches: (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?
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