Under the action of a force of 3 N, the spring was lengthened by 4 cm, and under the action of a force of 6 N, by 8 cm.

Under the action of a force of 3 N, the spring was lengthened by 4 cm, and under the action of a force of 6 N, by 8 cm. What is the modulus of the force, under which the elongation of the spring was 6 cm?

Find the coefficient of spring stiffness:

k = F / l

k = 3/4 = 0.75 n / m

Now we will find the force under which the spring will lengthen by 8 centimeters:

F = k * l = 0.75 * 8 = 6 n.

We did not convert the length into SI units, since the stiffness was not obtained in SI.

Answer: 6 N.