A flyover bridge is in the form of a circular are of radius 39.5 m . What is the limiting speed at which a car can cross the bridge without losing constact with the road , at the highest point ? [Assume that the centre of gravity of the car is 0.5 m above the road and `g= 10m//s^(2)`]
A
10m/s
B
12m/s
C
15m/s
D
20m/s
Text Solution
Verified by Experts
The correct Answer is:
D
Since the centre of gravity of the car is 0.5 m above the road , the effective radius `= 39.5 +0.5 = 40 m` ` therefore ` For equilibrium , `(mv^(2))/(r ) = mg " " therefore v^(2) = rg ` ` therefore v= sqrt( r g ) = sqrt( 40xx10)= 20 m//s`
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