The body moves on a horizontal surface at a speed of 8 m / s and stops during deceleration

The body moves on a horizontal surface at a speed of 8 m / s and stops during deceleration, having traveled a path of 32 m. Find the coefficient of friction.

To find the coefficient of friction between a given body and a horizontal surface, we use the equality: m * V ^ 2/2 = A (work) = Ffr * S = μ * m * g * S, whence we express: μ = V ^ 2 / (2 * g * S).

Constants and variables: V – speed before braking (V = 8 m / s); g – acceleration due to gravity (g ≈ 10 m / s2); S – braking distance (S = 32 m).

Calculation: μ = V ^ 2 / (2 * g * S) = 8 ^ 2 / (2 * 10 * 32) = 0.1.

Answer: The coefficient of friction between a given body and a horizontal surface is 0.1.