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Question

What is the maximum speed with which a vehicle can negotiate a convex bridge of radius 10 m without leaving the surface of the road.
(Take g=10 m/s2)

A
18 kmph
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B
32 kmph
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C
36 kmph
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D
42 kmph
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Solution

The correct option is C 36 kmph

Resolving the forces
mgN=mv2r
For the vehicle to be in contact with the road,
N0
mgmv2r
vrg
vmax=rg
vmax=10×10=10 m/s
vmax=36 kmph

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