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NEET PHYSICSEasy

In a circus stuntman rides a motorbike in a circular track of radius RR in the vertical plane. The minimum speed at highest point of track will be:

A

2gR\sqrt{2gR}

B

2gR2gR

C

3gR\sqrt{3gR}

D

gR\sqrt{gR}

Step-by-Step Solution

For an object to complete a vertical circle, the necessary centripetal force at the highest point is provided by its weight and the normal reaction from the track. The equation of motion is N+mg=mv2RN + mg = \frac{mv^2}{R}. For the minimum speed at the highest point, the normal reaction NN approaches zero (N0N \ge 0). Thus, mg=mv2Rmg = \frac{mv^2}{R}, which simplifies to v=gRv = \sqrt{gR} .

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