Two trains A and B each of mass m are moving on a longitude of a spherical planet of mass M and radius R with velocity v relative to to planet. Train A & B presses thhe rail track with forces `N_(A)` & `N_(B)` respectively. [`omega` is angular velocity of planet about its vertical axis] Then

Options

A. `N_(A)=N_(B)=(GmM)/(R^(2))-momega^(2)R`
B. `N_(A)=(GmM)/(R^(2))-momega^(2)R+(mv^(2))/(R)`
C. `N_(B)=(GmM)/(R^(2))-momega^(2)R-(mv^(2))/(R)`
D. `N_(B)=(GmM)/(R^(2))+momega^(2)R-(mv^(2))/(R)`

Answer

C

Explanation

`N_(A)=N_(B)=(GmM)/(R^(2))-momega^(2)R-(mv^(2))/(R)`
`((GmM)/(R^(2))-momega^(2)R-N_(A)=(mv^(2))/(R))`