Kim has her coffee cup on her car's dash when she takes a corner with radius 4 m and 20 km/h.
1 answer:
The minimum coefficient of static friction is 0.807
<h3>What is static friction?</h3>Static friction is friction between two or more solid objects that are not moving relative to each other.
According to the question,
When an object turns on a curve path at a specific speed, two forces will be acting on the object which balance each other:
Centripetal force and friction force.
The friction coefficient between the object and the path is independent of the object's mass.
Given,
The radius of a corner is, r=4.16m
The turning speed of the car is, v
= 5.72 m/s
To avoid slipping a coffee cup on the car's dashboard, the centripetal force would balance the friction force.
So, Fc=Ff
=μmg
μ=
Here,
Fc represents the centripetal force.
Ff represents the friction force.
μ represents the coefficient of static friction.
g represents the gravitational acceleration whose value is 9.8m/s²
By Substituting the values in the above formula, we get:
μ = ≈ 0.807
Therefore,
The minimum coefficient of static friction is 0.807
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