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World Science Scholars
30.6 Cause and Effect: A Spacetime Invariant
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Module 30: Cause and Effect: A Spacetime Invariant— Problem 1

In the following problems, you are asked to find frames of reference that locate certain events either at the same place or has them happen at the same moment. Assume units in which c=1c = 1.

  1. 1. Question

    In Gracie's frame of reference, a bolt of lightning strikes at (t1,x1)=(12,17)(t_1, x_1)=(12, 17) and another strikes at (t2,x2)=(20,10)(t_2, x_2)=(20, 10). Is there a frame for which these two events happen at the same place or is there a frame for which they happen at the same time?

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  2. 2. Question

    Find the velocity of the frame which accomplishes your answer to part (a).

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  3. 3. Question

    In George's frame of reference, a bolt of lightning strikes at (t1,x1)=(2,19)(t_1,x_1)=(2, 19) and another strikes at (t2,x2)=(17,−35)(t_2,x_2)=(17,-35). Is there a frame for which these two events happen at the same place or is there a frame for which they happen at the same time?

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  4. 4. Question

    Find the velocity of the frame which accomplishes your answer to part (c).

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