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A car is safely negotiating an unbanked circular turn at a speed of 26 m/s. The road is dry, and the maximum static frictional force acts on the tires. Suddenly a long wet patch in the road decreases the maximum static frictional force to one third of its dry-road value. If the car is to continue safely around the curve, to what speed must the driver slow the car?

Question

A car is safely negotiating an unbanked circular turn at a speed of 26 m/s. The road is dry, and the maximum static frictional force acts on the tires. Suddenly a long wet patch in the road decreases the maximum static frictional force to one third of its dry-road value. If the car is to continue safely around the curve, to what speed must the driver slow the car?

check_circleAnswer
Step 1

Given:

Initial speed of the car = 26 m/s

Step 2

Calculating the value of velocity that the driver needs to reduce:

...
AurminCautripal for
cirular road, fricTion force povides
Coutripal force
While
on a
the meauned
nitial speed
26 m/s
Inilial tatic friclio, fr F (Let's asnume)
So frie tion F m
R O
cralar path
where R is radius
hom en C,
FR
coustaut, we can say
A& Rand m ane
o JF
So i
JFF
Fi
to Cairen deta, F
Accoveing
Vi
o, v
J3
Fi
26
m/s15 m/s
26 mys- 15mys=1s
change in speud
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AurminCautripal for cirular road, fricTion force povides Coutripal force While on a the meauned nitial speed 26 m/s Inilial tatic friclio, fr F (Let's asnume) So frie tion F m R O cralar path where R is radius hom en C, FR coustaut, we can say A& Rand m ane o JF So i JFF Fi to Cairen deta, F Accoveing Vi o, v J3 Fi 26 m/s15 m/s 26 mys- 15mys=1s change in speud

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Physics

Kinematics

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