Determine the energy that the spring receives when it is compressed by 5 cm if it is known

Determine the energy that the spring receives when it is compressed by 5 cm if it is known that to compress the spring by 1 cm you need to apply a force of 30 kN.

Data: Δl (spring deformation value) = 5 cm (0.05 m); Δl1 (initial spring compression) = 1 cm (0.01 m); F1 (force applied to the spring during initial compression) = 30 kN (30 * 10 ^ 3 N).

1) We calculate the spring rate: F1 = k * Δl1, whence k = F1 / Δl1 = 30 * 10 ^ 3 / 0.01 = 30 * 10 ^ 5 N / m.

2) Determine the energy that the spring will receive when compressed by 5 cm: E = 0.5 * k * Δl ^ 2 = 0.5 * 30 * 10 ^ 5 * 0.05 ^ 2 = 3750 J.

Answer: The energy received by the spring is 3750 J.