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Question

A train A runs from east to west and another train B of the same mass runs from west to east at the same speed along the equator. A presses the track with a force F1 and B presses the track with a force F2.
(a) F1 > F2.
(b) F1 < F2
(c) F1 = F2
(d) the information is insufficient to find the relation between F1 and F2.

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Solution

(a) F1 > F2

When the trains are moving, effective angular velocity of both the trains are different (as shown in the figure).



Effective angular velocity of train B is more than that of train A.

Normal force with which both the trains push the tracks is given as:

N=mg-mRω'2

From the above equation, we can conclude that F1 > F2.

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