To compress the spring by 2 cm, you need to apply a force of 60 kN. The spring energy when it is compressed

To compress the spring by 2 cm, you need to apply a force of 60 kN. The spring energy when it is compressed by 5 cm is equal to.

To find out the energy of the presented spring at a given compression, consider the formula: Ep = 0.5 * k * Δx2 = 0.5 * (F1 / Δx1) * Δx22, where F1 is the initial compression force (F1 = 60 kN = 6 * 104 N ); Δx1 – initial compression (Δx1 = 2 cm = 0.02 m); Δx2 – specified compression (Δx2 = 5 cm = 0.05 m).

Let’s perform the calculation: Ep = 0.5 * (F1 / Δx1) * Δx2 ^ 2 = 0.5 * (6 * 10 ^ 4 / 0.02) * 0.052 = 3.75 * 103 J.

Answer: For a given compression, the energy of the presented spring will be 3.75 kJ.