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Question

Two identical trains A and B move with equal speeds On parallel tracks along the equator. A movies from east to west and B moves from west to east. Which train will exert greater force in the tracks .. Or will they be equal and why


and also does gravitation obey the law of superposition

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Solution

Answer is train A will exert greater force
because we know that earth rotates from west to east so the train B will have speed V+wr
where w is the angular velocity of earth ,V is the speed of train and r radius of earth
On other hand train A moves in opposite direction of earth rotation so net speed will be V-wr
So net centrifugal force on train B will be greater due to which it will exert less force on track.

A linear system obeys the superposition principle by definition. Energy is additive and gravitational potentials obey the superposition principle, so they are, in a sense, linear. However, the resulting dynamics of masses in gravitational fields does not have that property. The sum of two orbital solutions is not an orbital solution, so the actual physical system is not linear and the superposition principle does not apply

Very nice question keep exploring. Hope u do well in future. Thoroughly enjoyed answering this. Cheers!!


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