Two spacecrafts A and B moving in opposite directions are each a

Question

Two spacecrafts A and B moving in opposite directions are each approaching the moon with speeds of 2.2 × 10⁸ ms^-1 and 2.5 × 10⁸ ms^-1 , respectively, as observed by an observer on the moon. Calculate the speed of A with which it is

(i) approaching the moon, and

(ii) approaching B, as observed by an observer in A.

23 Jan 2025

Answer :

Word Count : 227

To solve this problem numerically, we will use the relativistic velocity addition formula: \[ v' = \frac{v + u}{1 + \frac{vu}{c^2}} \] where: - \( v \) is the velocity of one object (e.g., spacecraft B) relative to a reference frame (e.g., the moon). - ___ _____ ____ _______ __________ __________ ____ ___ _______ ____.
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