A block weighing 4 kg is pulled with a spring with a stiffness of 0.25 kN / m, the coefficient

A block weighing 4 kg is pulled with a spring with a stiffness of 0.25 kN / m, the coefficient of friction is 0.4. determine the tension of the spring.

Task data: m (mass of the taken bar) = 4 kg; k (spring rate) = 0.25 kN / m (250 N / m); μ (coefficient of friction) = 0.4.

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

To determine the tension of the spring, use the equality: Ftr. = Fcont. and μ * m * g = k * Δx, whence Δx = μ * m * g / k.

Let’s calculate: Δx = 0.4 * 4 * 10/250 = 0.064 m (64 mm).

Answer: The tension of the spring is 64 mm.