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>>Laws of Motion
>>Problems on Dynamics of Circular Motion
>> $A vehicle is travelling at uniform speed$

Question

A vehicle is travelling at uniform speed $36 k m p h$ along a fly-over bridge and a person of mass $50 k g$ in the vehicle experiences a normal reaction $390 N$ as the vehicle crosses the highest point. The radius of curvature of the fly-over bridge is:

A

$40 m$

B

$50 m$

C

$80 m$

D

$100 m$

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Updated on : 2022-09-05

Solution

Verified by Toppr

Correct option is B)

$V = 36 k m / h$

$= 36 \times \frac{5}{1 8}$

$= 10 m / s$

$m g - 390 = \frac{m V ^{2}}{R}$

$490 - 390 = \frac{5 0 \times 1 0}{R}^{2}$

$100 = \frac{5 0 0 0}{R}$

$R = 50 m$

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