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Relativity: Pulse rate of Earth observer for astronaut traveling in space; Determine the energy required to accelerate an electron between speeds

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1.) An astronaut is traveling in a space vehicle that has a speed of 0.510c relative to Earth. The astronaut measures his pulse rate at 73.0 per minute. Signals generated by the astronaut's pulse are radioed to Earth when the vehicle is moving perpendicularly to a line that connects the vehicle with an Earth observer.

What pulse rate does Earth observer measure?

________min^-1

What would be the pulse rate if the speed of the space vehicle were increased to 0.960c?

________min^-1

2.) Determine the energy required to accelerate an electron between each of the following speeds.

(a) 0.500c to 0.850c
________ MeV

(b) 0.850c to 0.945c
________ MeV

Note: 1 joule = 6.24150974 à? 10^12 megaelectron volts

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