The minimum coefficient of friction required is 0.885 for a 925kg car rounds an unbanked curve at a speed of 25m/sec.
We know that if a body wants to travel from one place to another place, we need friction to move along the surface.
Now,we know that centripetal force is required to move along a curve.Also,due to friction same amount of force acts on the car to move along the surface.
It means centripetal force=mv²/r where v is the velocity of the body and r is the radius of the body is equal to force applied by the friction which is equal to =μmg
So,mv²/r=μmg
=>v²/r =μg
=>μ= v²/rg
On putting the values of speed, radius and acceleration due to gravity
=>μ=(25)²/(72×9.8)
=>μ=625/705.6
=>μ=0.885
Hence, required value of coefficient of friction is 0.885.
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