Determine the braking distance of the car on a horizontal section of the highway with a friction

Determine the braking distance of the car on a horizontal section of the highway with a friction coefficient of 0.5 at an initial speed of 15 m / s.

These tasks: straight-line motion; μ (coefficient of friction) = 0.5; V (initial speed of a given vehicle) = 15 m / s.

Reference values: g (acceleration due to gravity) ≈ 10 m / s2.

We express the braking distance of a given vehicle from the formulas: A = Ftr. * S = μ * m * g * S and A = ΔEk = m * V0 ^ 2/2 – 0 = m * V0 ^ 2/2.

μ * m * g * S = m * V0 ^ 2/2.

μ * g * S = V0 ^ 2/2.

S = V0 ^ 2 / (2 * μ * g) = 15 ^ 2 / (2 * 0.5 * 10) = 22.5 m.

Answer: The braking distance of the given vehicle was 22.5 m.