Figure shows the roller coaster track. Each car will start from rest at point `A` and will roll with negligible friciton. It is important that there should be at least some small positive normal force exerted by the track on the car at all points, otherwise the car would leave the track. With the above fact, the minimum safe value for the radius of curvature at point `B` is `(g=10m//s^(2) :`

Options

A. 20 m
B. 10 m
C. 40 m
D. 25 m

Answer

A

Explanation

`V_(B)=sqrt(2xx10xx10),(m v_(B)^(2))/(R) le mg ,R ge (v_(B)^(2))/(g)`
`rArr R ge 20 m`.