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).

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Answer

(a) The clocks and are advanced slower than you clock.

(b) The time in the clockread slower than yours.

(c)There is no contradiction between parts (a) and (b).

Step by step solution

01

What is relativity?

The special relativity theory defines the relationship between space and time.According to Einstein, the speed of light in a vacuum is the same in any other space. General relativity talks about the gravitation force and its relation to the other force.

02

Determine if the clocks and are the advance slower

According to Einstein, if a person travels very high speed, then the events occurring in the inertial frame appear much slower than the event relative to his frame. This is happening because time in the inertial frame is going much slower than the time in the person frame. Therefore, the clock of the inertial frame would advance slower.

Hence the clocks and are advance slower than you clock.

03

Determine if the clock read the same time when you pass overclock .

The clock is still on the inertial frame and will still be slower than your clock when you pass it. Therefore, the clock is slower than your clock.

Hence the time on the clock read slower than yours.

04

Determine any contradiction in parts (a) and (b).

When the ground observer sees your clock is going faster than his clock, you see the distance between the and length contracted, and it looks like you have a shorter length to travel. Therefore, there is no contract between parts (a) and (b).

Hence there is no contradiction between parts (a) and (b).

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Most popular questions from this chapter

If an object actually occupies less space physically when moving. It cannot depend on the direction we define as positive. As we know, an object aligned with the direction of relative motion is contracted whether it is fixed in frame S and viewed from S'. or the other way around. Use this idea to argue that distances along the y- and y'-axes cannot differ at all. Consider a post of length L0 fixed in frame S, jutting up from the origin along the +y-axis. with a saw at the top poised to slice off anything extending any higher in the passing frame S'. Also consider an identical post fixed in frame S'. What happens when the origins cross?

Question: Two objects isolated from the rest of the universe collide and stick together. Does the system’s final kinetic energy depend on the frame of reference in which it is viewed? Does the system’s change in kinetic energy depend on the frame in which it is viewed? Explain your answer.

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?

According to Bob, on Earth, it is 20ly to Planet Y. Anna has just passed Earth, moving at a constant speed υ in a spaceship, When Anna passes Planet Y. She is 20years older than when she passed Earth. Calculate ν.

Consider Anna, Bob and Carl in the twin paradox.

(a) According to Anna, when Planet X passes her, clocks on Planet X and Earth tick simultaneously. What is the time interval between these two events in the Earth-Planet X frame?

(b) According to Carl, when Planet X passes, clocks on Planet X and Earth tick simultaneously. What is the time interval between these two events in the Earth-Planet X frame?

(c) What does the clock on Planet X read when Carl and Anna reach it? Show how your results from part (a) and (b) agree with Figure 2.20.

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