With what force does the gymnast act on the expander if the elongation of its 4 springs connected in parallel

With what force does the gymnast act on the expander if the elongation of its 4 springs connected in parallel is 5 cm, and the stiffness coefficient of each of the springs is 1000 N / m?

Initial data: n (number of expander springs) = 4; ∆l (elongation of the expander springs) = 5 cm; k1 (coefficient of stiffness of each expander spring) = 1000 N / m.

SI system: ∆l = 5 cm = 5/100 m = 0.05 m.

1) We calculate the stiffness of the expander spring system:

k = 4 * k1 = 4 * 1000 = 4000 N / m.

2) Calculate the force with which the gymnast acts on the expander:

F = F = k * ∆l = 4000 * 0.05 = 200 N.

Answer: The gymnast acts on the expander with a force of 200 N.