The smallest angle from the horizontal that will cause the eggs to slick across the bottom of a Teflon-coated skillet is 2.29°
Explanation:
Given-
Coefficient of friction, μ = 0.04
angle, Θ = ?
In order for the scrambled eggs to slide of the teflon, the force applied on the teflon due to gravity must be equal to the maximum value of the static friction force:
F = μ
mg sinΘ = μ mg cos Θ
sinΘ = μ cosΘ
μ = sinΘ / cosΘ
μ = tanΘ
0.04 = tanΘ
Θ = tan⁻¹ (0.04)
Θ = 2.29°
Therefore, the smallest angle from the horizontal that will cause the eggs to slick across the bottom of a Teflon-coated skillet is 2.29°