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Chapter 2: Q85E (page 67)
An electron accelerated from rest through a potential difference V acquires a speed of 0.9998c. Find the value of V.
The potential energy required to acquire a speed of 0.9998c is25 Mega Volts.
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How fast must be a plane 50 m long travel to be found by observer on the ground to be 0.10 nm shorter than 50 m?
You stand at the center of your spaceship and watch Anna's identical ship pass at . At on your wristwatch, Anna, at the center of her ship, is directly across you and her wristwatch also reads .
(a) A friend on your ship, from you in a direction towards the tail of the ship, looks at a clock directly across from him on Anna's ship. What does it read?
(b) Your friend now steps onto Anna's ship. By this very act he moves from a frame where Anna is one age to a frame where she is another. What is the difference in these ages? Explain.
(c) Answer parts (a) and (b) for a friend from you but in a direction toward the front of Anna's passing ship.
(d) What happens to the reading on a clock when you accelerate toward it? Away from it?
Question: You are gliding over Earth's surface at a high speed, carrying your high-precision clock. At points and on the ground are similar clocks, synchronized in the ground frame of reference. As you pass overclock. it and your clock both read . (a) According to you, do clocksand advance slower or faster than yours? (b) When you pass overclock , does it read the same time. an earlier time, or later time than yours? (Make sure your answer agrees with what ground observers should sec.) (c) Reconcile any seeming contradictions between your answers to parts (a) and (b).
According to an observer on Earth, a spacecraft whizzing by at 0.6c is 35 m long. What is the length of the spacecraft according to the passengers onboard?
By what factor would a star's characteristic wavelengths of light be shifted if it were moving away from Earth at ?
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