A vehicle is moving on an over bridge which is in the form of a circular arc of radius 10 m. What is the maximum speed with which a vehicle can move through the topmost point on the bridge without losing contact with the bridge ? `(g = 10 m//s^(2))`

Options

A. 10 m/s
B. 1 m/s
C. 5 m/s
D. Depends on mass of the vehicle.

Answer

A

Explanation

At topmost point `mg - N = (mV^(2))/(R ) implies N = mg - (mV^(2))/(R )`
For maintaining contact, `N gt 0`
`mg = (mV^(2))/(R ) gt 0 implies V lt sqrt(gR) implies V_("max") = 10 //s`