Identical or not?

Classical Mechanics Level 5

Suppose, Supantho and Mohaimen are moving to each other at a relative velocity of \(\frac{3c}{5}\).

Now, consider the situation in Supantho's reference frame (first figure): The distance between Supantho and Mohaimen is \(1.44 \times 10^{12} \text{ m}\). Both Supantho and Mohaimen's clock show 4:00.

Again, consider the situation according to Mohaimen's reference frame (second figure): Supantho's clock shows 4:00. What will be the distance between them and what does Mohaimen's clock show?

Details and Assumptions

The speed of light is \(c = 3 \times 10^8 \text{ ms}^{-1} \).


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