6) In a carnival ride, passengers stand with their backs against the wall of a c

Question

6) In a carnival ride, passengers stand with their backs against the wall of a cylinder. The cylinder is set into rotation and the floor is lowered away from the passengers, but they remain stuck against the wall of the cylinder. For a cylinder with a 2.0-m radius, what is the minimum speed that the passengers can have for this to happen if the coefficient of static friction between the passengers and the wall is 0.25?
Answers
2.3 m/s
3.0 m/s
4.9 m/s
8.9 m/s
It depends on the mass of the passengers.

Explanation / Answer

r = 2.0-m, the coefficient of static friction u = 0.25 find speed v normal force = N = mv^2/r vertical net force f - mg = 0 f = mg use f = uN mg = uN = umv^2/r so v = sqrt(gr/u) = 8.9 m/s It doesn't depend on the mass of the passengers.

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