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Q.

A circular road of radius 1000 m has banking angle 45o. The maximum safe speed (in ms-1) of a car having a mass 2000 kg will be (if the coefficient of friction between tyre and road is 0.5)

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a

173

b

124

c

99

d

86

answer is A.

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Detailed Solution

vmax=Rg⁡(tan⁡θ+μ)1−μtan⁡θ=1000×10×1+0.51-0.5×1=173 m/s
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