If the spring is stretched with a force of 120 N, it will lengthen by 4 cm.How much will the spring

If the spring is stretched with a force of 120 N, it will lengthen by 4 cm.How much will the spring lengthen under a force of 90 N.

Initial data: F1 (the first force acting on the spring) = 120 N; Δl (elongation of the spring under the action of the first force) = 4 cm; F2 (second force acting on the spring) = 90 N.

The spring force can be calculated using the formula:

Fcont. = k * Δl.

Since one and the same spring is stretched, the coefficient of spring stiffness is the same for the two cases of stretching the spring.

k = F1 / Δl1 = F2 / Δl2.

Δl2 = F2 * Δl1 / F1 = 90 * 4/120 = 3 cm.

Answer: Under the action of a force of 90 N, the spring will lengthen by 3 cm.