Two identical trains A and B move with equal actual speeds on parallel tracks along the equator. A moves from east to west and B, from west to east. Which train will exert greater force on the tracks ?
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a
A
b
B
c
They will exert equal force
d
The mass and the speed of each train must be known to reach a conclusion
answer is A.
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Detailed Solution
Earth spins from west to east.Let ω = Angular velocity of spin of earth.R = Radius of earth.u = Velocity of train relative to the surface of earth. V = Absolute velocity of train relative to centre of earth.∴VA = u-RωVB = u+RωVA < VBN = mg - mv2/RNA > NB