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A flat (unbanked) curve on a highway has a radius of 220 m. A car rounds the cur

ID: 1984710 • Letter: A

Question

A flat (unbanked) curve on a highway has a radius of 220 m. A car
rounds the curve at a speed of 25.0 m/s. (a) What is the minimum coefficient of friction
that will prevent sliding ? b) Suppose the highway is icy and the coefficient of friction
between the tires and the curve is only one-third what you found in part (a). What should
be the maximum speed of the car so it can round the curve safely?
Problem

Explanation / Answer

a) friction = centripetal force => m*v^2/r =µ m g => µ = 25^2 / 220*9.8 => µ = 0.29 b) µ =0.29/3 = 0.097 =>m*v^2/r =µ m g =>v^ = (0.097 *9.8 *220)^0.5 => v = 14.46 m/s

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