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    Postulates of the Special Theory of Relativity

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    1. State and explain the postulates of the special theory of relativity.

    2. Suppose a person riding on top of a freight car shines a searchlight beam in the direction in which the train is traveling. Compare the speed of the light beam relative to the ground when:

    a.The train is at rest.
    b. The train is moving.

    How does the behavior of the light beam differ from the behavior of a bullet fired in the same direction from the top of the freight car?

    3. Define the following terms:

    a. Time dilation.
    b. Simltaneity
    c. Length contraction
    d. Mass-energy equivalence

    4. What does the equation E = mc2 mean?

    5. A rectangular billboard in space has the dimensions 10 meters by 20 meters. How fast and in what direction with respect to the billboard would a space traveler have to pass for the billboard to appear square?

    6. How long would a meter stick appear if it were traveling like a properly thrown spear at 99.5 percent of the speed of light?

    7. State and explain the principle of equivalence.

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    1. State and explain the postulates of the special theory of relativity.
    Solution:
    First postulate: The laws of physics have the same form in all inertial reference frames.
    Second postulate (constancy of speed of light): Light propagates through empty space with a definite speed c independent of the speed of the source or observer.
    2. Suppose a person riding on top of a freight car shines a searchlight beam in the direction in which the train is traveling. Compare the speed of the light beam relative to the ground when:

    a. The train is at rest.

    b. The train is moving.

    How does the behavior of the light beam differ from the behavior of a bullet fired in the same direction from the top of the freight car?
    Solution:
    The speed ...

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