Chapter 36: Q. 5 (page 1059)
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?
Short Answer
The speed will be speed of light c.
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Chapter 36: Q. 5 (page 1059)
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?
The speed will be speed of light c.
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In an attempt to reduce the extraordinarily long travel times for voyaging to distant stars, some people have suggested traveling at close to the speed of light. Suppose you wish to visit the red giant star Betelgeuse, which isaway, and that you want your rocket to move so fast that you age only during the round trip.
a . How fast, as a fraction of c, must the rocket travel relative to earth?
b. How much energy is needed to accelerate the rocket to this speed?
c. Compare this amount of energy to the total energy used by the United States in the year , which was roughly
You are standing at Lightning bolt strikes at and lightning bolt strikes at Both flashes reach your eye at the same time. Your assistant is standing at Does your assistant see the flashes at the same time? If not, which does she see first, and what is the time difference between the two?
You fly across the United States on an airliner at You return two days later at the same speed.
a. Have you aged more or less than your friends at home?
b. By how much?
Hint: Use the binomial approximation
Consider the inelastic collision in which an electron-positron pair is produced in a head-on collision between two electrons moving in opposite directions at the same speed. This is similar to Figure 36.39, but both of the initial electrons are moving.
a. What is the threshold kinetic energy? That is, what minimum kinetic energy must each electron have to allow this process to occur?
b. What is the speed of an electron with this kinetic energy?
A particle has momentum . What is the particle’s speed in m/s?
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