A car of mass \(1000\) kg negotiates a banked curve of radius \(90\) m on a frictionless road. If the banking angle is of \(45^\circ,\) the speed of the car is:

1. \(20\) ms–1 2. \(30\) ms–1
3. \(5\) ms–1 4. \(10\) ms–1
Subtopic:  Banking of Roads |
 90%
Level 1: 80%+
AIPMT - 2012
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A car of mass \(m\) is moving on a level circular track of radius \(R\). If \(\mu_s\) represents the static friction between the road and tyres of the car, the maximum speed of the car in circular motion is given by:

1. \(\sqrt{\dfrac{Rg}{\mu_s} }\) 2. \(\sqrt{\dfrac{mRg}{\mu_s}}\)
3. \(\sqrt{\mu_s Rg}\) 4. \(\sqrt{\mu_s m Rg}\)
Subtopic:  Banking of Roads |
 89%
Level 1: 80%+
AIPMT - 2012
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