Chapter 36: Q. 35 (page 1060)
What is the speed, as a fraction of , of a particle whose momentum is ?
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Chapter 36: Q. 35 (page 1060)
What is the speed, as a fraction of , of a particle whose momentum is ?
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a. At what speed, as a fraction of must a rocket travel on a journey to and from a distant star so that the astronauts age years while the Mission Control workers on earth age years?
b. As measured by Mission Control, how far away is the distant star?
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?
Two events in reference frame occur apart at the same point in space. The distance between the two events is in reference frame .
a. What is the time interval between the events in reference frame S鈥?
b. What is the velocity ofrelative to ?
A rocket is fired from the earth to the moon at a speed of . Let two events be 鈥渞ocket leaves earth鈥 and 鈥渞ocket hits moon.鈥 a. In the earth鈥檚 reference frame, calculate 鈭唜, 鈭唗, and the space time interval s for these events.
b. In the rocket鈥檚 reference frame, calculate 鈭唜鈥, 鈭唗鈥, and the space time interval s鈥 for these events.
c. Repeat your calculations of part a if the rocket is replaced with a laser beam.
At what speed, as a fraction of c, is a particle鈥檚 kinetic energy twice its rest energy?
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