# A roller coaster contains a loop-the-loop in which the car and rider are completely upside down. If the radius of the loop is 13.2 m, with what minimum speed must the car traverse the loop so that the rider does not fall out while upside down at the top? Assume the rider is not strapped to the car.

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A roller coaster contains a loop-the-loop in which the car and rider are completely upside down. If the radius of the loop is 13.2 m, with what minimum speed must the car traverse the loop so that the rider does not fall out while upside down at the top? Assume the rider is not strapped to the car.

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Step 1

Let v be the minimum speed of the car at the top of the loop so that the passenger will not fall.

mg be the weight of car and rider, which is equal to the centripetal force. Write the equation for force.

Step 2

Substitute corresponding values in...

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