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Please answer Part B only, thanks.

Section C: Relativity Question 8 "Cosmic rays" are high-energy particles, typically protons, that can enter the Earth's atmosphere from space. Suppose a cosmic-ray proton is travelling directly towards the centre of the Earth with kinetic energy, relative to the Earth, of 3.5 GeV. (a) If, in the reference frame of the Earth, the height of the Earth's atmosphere is 10 km, how much time does it take the proton to pass through the atmosphere and reach the Earth's surface in the reference frame of the proton? Ek =(7-1)mc 3.5×107-(7ー) (138x10°) =4.13 V 0.98c d. ん=10km L %3D 7. る3.41 XIo 10 000 %3D T= YT 4.73 %3D %3D (b) What is the spacetime interval s? between the event where the proton enters the atmosphere and the event where the proton reaches the surface of the Earth? Is it possible for these events to occur at the same location in another inertial reference frame? Justify your answer in one or two sentences at most.
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Transcribed Image Text:Section C: Relativity Question 8 "Cosmic rays" are high-energy particles, typically protons, that can enter the Earth's atmosphere from space. Suppose a cosmic-ray proton is travelling directly towards the centre of the Earth with kinetic energy, relative to the Earth, of 3.5 GeV. (a) If, in the reference frame of the Earth, the height of the Earth's atmosphere is 10 km, how much time does it take the proton to pass through the atmosphere and reach the Earth's surface in the reference frame of the proton? Ek =(7-1)mc 3.5×107-(7ー) (138x10°) =4.13 V 0.98c d. ん=10km L %3D 7. る3.41 XIo 10 000 %3D T= YT 4.73 %3D %3D (b) What is the spacetime interval s? between the event where the proton enters the atmosphere and the event where the proton reaches the surface of the Earth? Is it possible for these events to occur at the same location in another inertial reference frame? Justify your answer in one or two sentences at most.
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