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Unformatted text preview: PHYS126 Supplementary Notes 1 In lecture 1, we have learnt the swimmer competition problem and the Michelson- Morley experiment. In this supplementary note, we try to relate these two situations and explain why Classical Mechanics has to be replaced by Special Relativity in modern physics. A. Swimmer Competition Problem As shown in lecture 1, suppose swimmer A swims along the river and swimmer B swims across the river. Both swim for a round trip with total distance 2 L . It can be shown that 1 t (time required for a round trip along the river) and 2 t (time required for a round trip across the river) can be related by 1 2 2 2 1 , where 1 t t v c = =- Velocity of swimmer relative to water (magnitude c) Velocity of water relative to ground (magnitude v) Velocity of swimmer relative to ground Swimmer A, t 1 Swimmer B, t 2 Round trip of total distance 2L, along river Round trip of total distance 2L, across river Velocity of swimmer relative to water (magnitude c) Velocity of water relative to ground (magnitude v)...
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