A flat (unbanked) curve on a highway has a radius of 215.0 m . A car rounds the
ID: 2030120 • Letter: A
Question
A flat (unbanked) curve on a highway has a radius of 215.0 m . A car rounds the curve at a speed of 25.0 m/s . What is the minimum coefficient of friction that will prevent sliding? Suppose the highway is icy and the coefficient of friction between the tires and pavement 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?A flat (unbanked) curve on a highway has a radius of 215.0 m . A car rounds the curve at a speed of 25.0 m/s . What is the minimum coefficient of friction that will prevent sliding? Suppose the highway is icy and the coefficient of friction between the tires and pavement 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?
Explanation / Answer
centripetal force = frictionla force
mv^2/r = mue*mg
mue = v^2/rg
mue = 25^2/215*9.8
mue = 0.297
b) if mue = 1/3*0.297
mv^2/r = mue*mg
v^2 = mue*r*g
v = sqrt(0.297*215*9.8/3) = 14.43 m/s
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