What is the maximum speed with which a vehicle can negotiate a convex bridge of radius 10m without leaving the surface of the road.
(Take g=10m/s2)
A
18kmph
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B
32kmph
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C
36kmph
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D
42kmph
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Solution
The correct option is C36kmph
Resolving the forces mg−N=mv2r
For the vehicle to be in contact with the road, N≥0 ⟹mg≥mv2r ⟹v≤√rg ⟹vmax=√rg ⟹vmax=√10×10=10m/s ⟹vmax=36kmph