A flat (unbanked) curve on a highway has a radius of290 m. A car rounds the curv

Question

A flat (unbanked) curve on a highway has a radius of290 m. A car rounds the curve at a speedof 22.0 m/s.

(a) What is the minimum coefficient of frictionthat will prevent sliding?
1

(b) Suppose the highway is icy and the coefficient of frictionbetween the tires and pavement is only one-third what you find inpart (a). What should be the maximum speed of the car so it canround the curve safely?
2 m/s
A flat (unbanked) curve on a highway has a radius of290 m. A car rounds the curve at a speedof 22.0 m/s.

(a) What is the minimum coefficient of frictionthat will prevent sliding?
1

(b) Suppose the highway is icy and the coefficient of frictionbetween the tires and pavement is only one-third what you find inpart (a). What should be the maximum speed of the car so it canround the curve safely?
2 m/s

Explanation / Answer

m=mass of the car v=22 m/s r=290 m centrifugalforce=m*(v2/r)=m*(222/290)=1.67*m the centrifugal force is balanced by the frictional force =coefficient of friction frictional force=m*g* m*g*=1.67*m m*9.8*=1.67*m =0.17 let on ice the velocity of the car=V coefficient of friction=0.17/3=0.06 m*9.8*0.06=m*(V2/290) V=12.7 m/s

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