(a) In Galilean relativity, following intuition, it is assumed that the time interval between two events...

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(a) In Galilean relativity, following intuition, it is assumed that the time interval between two events is invariant, that is, At = At'. Assuming two inertial frames of reference S and S', S' moving at a constant velocity v relative to S, the velocity being only along the xx'- axes: i. Write down the complete space and time transformation equations. ii. Derive the acceleration transformation equations. iii. Prove that length is invariant in this framework. iv. Give a statement of the principle of classical relativity. [3 marks] [4 marks] [4 marks) [2 marks] (b) i. State Einstein's postulates of the special theory of relativity. ii. Write down Einstein's mass-energy equivalence formula. [2 marks] [2 marks] iii. In the case of two inertial frames of reference, S' moving at a velocity v relative to S, only along the xx' – axes, write down the relativistic space-time coordinates transformations from the S to the S' frame. Explaining how, deduce from these, the transformations from [4 marks] iv. In deriving the Lorentz's space-time coordinates transformations, it was prescribed that Ji-- Showing how, [4 marks] the the S' to the S frame. x' = a11x + a1zt ; t' = azıx + azzt, and we found that a11 = deduce the values of the other coefficients. [Total: 25 marks] (a) In Galilean relativity, following intuition, it is assumed that the time interval between two events is invariant, that is, At = At'. Assuming two inertial frames of reference S and S', S' moving at a constant velocity v relative to S, the velocity being only along the xx'- axes: i. Write down the complete space and time transformation equations. ii. Derive the acceleration transformation equations. iii. Prove that length is invariant in this framework. iv. Give a statement of the principle of classical relativity. [3 marks] [4 marks] [4 marks) [2 marks] (b) i. State Einstein's postulates of the special theory of relativity. ii. Write down Einstein's mass-energy equivalence formula. [2 marks] [2 marks] iii. In the case of two inertial frames of reference, S' moving at a velocity v relative to S, only along the xx' – axes, write down the relativistic space-time coordinates transformations from the S to the S' frame. Explaining how, deduce from these, the transformations from [4 marks] iv. In deriving the Lorentz's space-time coordinates transformations, it was prescribed that Ji-- Showing how, [4 marks] the the S' to the S frame. x' = a11x + a1zt ; t' = azıx + azzt, and we found that a11 = deduce the values of the other coefficients. [Total: 25 marks]

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Relativity is just a way for two people to agree on what they see from di... View the full answer