A motorbike is going around a corner during a motor race. The centripetal force varies directly as the square of motorbike’s speed and varies inversely as the distance of the

motorbike from the center of the corner. The centripetal force, F acts on the motorbike

moving at speed v km/h at a distance r km from the center of the corner. Calculate the

centripetal force, in terms of F acted if the motor is moving at a speed of 1

3/ℎ at a distance of 2r km from the centre of the corner​