Coefficient of static friction between the car’s tires and the road is 0.3
What is static friction ?
A force that holds an object at rest is called static friction. The definition of static friction is: The resistance people feel when they attempt to move a stationary object across a surface without actually causing any relative motion between their body and the surface they are moving the object across.
Give an illustration of static friction.
When something is sitting on a surface, static friction affects it. For instance, every time you place your foot on the trail when trekking in the woods, there is static friction between your shoes and the surface.
Assume that road is level
Friction force provides centripetal force to the car
The weight of the car is = 1250 kg
speed of the car is = 25 m/s
curve radius =r= 175m
we know the formula of centripetal force is given by
[tex]f_{s} =\frac{mv^{2} }{r}[/tex] where m = mass of the object
v= velocity
r= curve radius
and we know the static force is given by f= μN
here, N= mg
so now,
μmg=[tex]\frac{mv^{2} }{r}\\[/tex]
now put the all give values then we get,
[tex]$\mu_r=\frac{v^2}{r g}=\frac{(25 \mathrm{~m} / \mathrm{sec})^2}{(175 \mathrm{~m})\left(9.8 \mathrm{~m} / \mathrm{sec}^2\right)}$[/tex]
μ=[tex]\frac{625}{1715}[/tex]
μ= 0.3 , This is the coefficient of friction between the car tire and the rode
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