Find the extension of the towing cable with a stiffness of 100kN / m when towing a car with a mass of 2t

Find the extension of the towing cable with a stiffness of 100kN / m when towing a car with a mass of 2t with an acceleration of 0.5m / s2.

Initial data: k (rigidity of the towing rope) = 100 kN / m = 100 * 10 ^ 3 N / m; m (mass of the towed vehicle) = 2 t = 2000 kg; a (acceleration with which the vehicle is towed) = 0.5 m / s ^ 2.
The elongation of the towing cable is determined from the equality: F = Fel .: m * a = k * Δl, whence Δl = m * a / k.
Let’s perform the calculation: Δl = 2000 * 0.5 / (100 * 10 ^ 3) = 0.01 m or 1 cm.
Answer: The elongation of the towing rope is 1 centimeter.