Determine with what acceleration a bus with a mass of 10 tons is moving, if the traction force is 30 kN

Determine with what acceleration a bus with a mass of 10 tons is moving, if the traction force is 30 kN, and the coefficient of friction is 0.25.

Problem data: m (mass of a moving bus) = 10 t (in SI m = 10 ^ 4 kg); F (pulling force) = 30 kN (30 * 10 ^ 3 N); μ (coefficient of friction) = 0.25.

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

The acceleration with which the bus in question is moving can be expressed from the equality: m * a = F – Ftr. = F – μ * m * g, whence a = (F – μ * m * g) / m.

Let’s perform the calculation: a = (30 * 10 ^ 3 – 0.25 * 10 ^ 4 * 10) / 10 ^ 4 = 0.5 m / s2.

Answer: The bus in question is moving with an acceleration of 0.5 m / s2.