The bus starts to move with an acceleration of 0.5m / s². The coefficient of resistance to movement is 0.2

The bus starts to move with an acceleration of 0.5m / s². The coefficient of resistance to movement is 0.2, the thrust is 20 kN. Find the mass of the bus.

These tasks: a (the acceleration with which the bus moved off) = 0.5 m / s2; μ (coefficient of resistance to movement, friction) = 0.2; F (pulling force) = 20 kN (20 * 10 ^ 3 N).

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

The mass of this bus is determined using the equality: m * a = F – Ftr. = F – μ * N = F – μ * m * g, whence m * (a + μ * g) = F and m = F / (a + μ * g).

Let’s perform the calculation: m = 20 * 10 ^ 3 / (0.5 + 0.2 * 10) = 8000 kg = 8 tons.

Answer: The mass of this bus is 8 tons.