Having driven off a mountain with a height of 4 m, the sledge stops after passing a horizontal path equal

Having driven off a mountain with a height of 4 m, the sledge stops after passing a horizontal path equal to the length of the slope of the mountain, find this path if the coefficient of friction along the entire path is 0.5.

To find the path of the sled horizontally, we use the equality: ΔEp = A (work of the friction force) = Ftr * S and m * g * h = μ * m * g * 2S1, whence we express: S1 = h / (2 * μ).

Variable values: h – mountain height (h = 4 m); μ is the coefficient of friction along the entire path (μ = 0.5).

Let’s perform the calculation: S1 = h / (2 * μ) = 4 / (2 * 0.5) = 4 m.

Answer: The length of the horizontal path is 4 m, the total path of the sleds under consideration is 8 m.