Q.

A car of mass 1000 kg negotiates a banked curve of radius 90 m on a frictionless road. If the banking angle is 45o, the speed of the car is

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a

5 m/s

b

10 m/s

c

20 m/s

d

30 m/s

answer is D.

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Detailed Solution

According to question, angle of banking, θ=450. Radius of curved road, r = 90 m and g=9.8 ms−2. Let the speed of car on the curved portion of road be ν . For no slip conditiontanθ=v2rg⇒v=rg tanθ⇒v=90×10×tan45∘=900=30 ms−1
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