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Chapter 36: Q. 34 (page 1060)
At what speed, as a fraction of c, is a particle鈥檚 momentum twice its Newtonian value?
Speed of particle will be 0.866c.
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An out-of-control alien spacecraft is diving into a star at a speed of . At what speed, relative to the spacecraft, is the starlight approaching?
At what speed, in would a moving clock lose role="math" localid="1649531760117" in day according to experimenters on the ground?
Hint: Use the binomial approximation.
A laboratory experiment shoots an electron to the left at . What is the electron鈥檚 speed, as a fraction of c, relative to a proton moving to the right at ?
The nuclear reaction that powers the sun is the fusion of four protons into a helium nucleus. The process involves several steps, but the net reaction is simply . The mass of a proton, to four significant figures, is , and the mass of a helium nucleus is known to be .
a. How much energy is released in each fusion?
b. What fraction of the initial rest mass energy is this energy?
An astronaut travels to a star system away at a speed of Assume that the time needed to accelerate and decelerate is negligible.
a. How long does the journey take according to Mission Control on earth?
b. How long does the journey take according to the astronaut?
c. How much time elapses between the launch and the arrival of the first radio message from the astronaut saying that she has arrived?
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