A car is moving on a circular horizontal track of radius 10m with a constant speed of 10ms−1. The angle made by the road with track is (Take g=10m/s2)
A
zero
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B
30∘
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C
45∘
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D
60∘
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Solution
The correct option is C45∘ By the free body diagram and writing the force equation we get,
Ncosθ=mg...(i) Nsinθ=mv2r...(ii) Now by dividing both the above equations, we get, θ=tan−1(v2rg) where, v = speed and r = radius ∴tanθ=(10)210×g=1 ⇒θ=45∘