A train A runs from east to west and another train B of the same maas runs from west to east at the same speed along the equator. A presses the track with a force `F_1 and B` presses the track with a force F.

Options

A. `F_(1)gtF_(2)`
B. `F_(1)ltF_(2)`
C. `F_(1)`=`F_(2)`
D. The information is insufficient to find the relation between `F_(1)` and `F_(2)`

Answer

A

Explanation

Earth rotate about its axis from west to east.
For Train `A : v_(A)=v-omegar`
For Train `B : v_(B)=v-omegar`
For Train `A`
`mg-N_(A)=(m(v-omegar)^(2))/(r)`
`N_(A)=mg-(m(v-omegar)^(2))/(r)`
Similary for Train `B : N_(A)=mg-(m(v+omegar)^(2))/(r)`
Clearly `N_(B)ltN_(A)` and `F_(1)gtF_(2)` .