A dog sled starts pulling a 50 kg sled in the snow with a constant force of 150N.
A dog sled starts pulling a 50 kg sled in the snow with a constant force of 150N. How long will it take for the sled to travel the first 100m of the track? Sliding friction coefficient of runners on snow is 0.05.
To find the time of movement of the sleigh (dog sled), we will use the formula: S = a * t ^ 2/2, whence t = √ (2S / a) = √ (2S / (F / m)) = √ (2S * m / (Ft – Ftr)) = √ (2S * m / (Ft – μ * m * g)).
Constants and variables: S – the length of the considered part of the path (S = 100 m); m is the weight of the sleigh (m = 50 kg); Ft is the pulling force of the dog team (Ft = 150 N); μ – coefficient of friction (μ = 0.05); g – acceleration due to gravity (g ≈ 10 m / s2).
Calculation: t = √ (2 * 100 * 50 / (150 – 0.05 * 50 * 10)) = √80 = 8.94 s.