Stretching the elastic with a force of 45N. the boy lengthened it by 9 cm. What elongation would he get

Stretching the elastic with a force of 45N. the boy lengthened it by 9 cm. What elongation would he get with a force of 112.5 N?

To determine the elongation of the elastic band that the boy is stretching, we use the equality: F1 / Δx1 = k (coefficient of stiffness of the elastic band) = F2 / Δx2, whence Δx2 = F2 * Δx1 / F1.

Values of variables: F2 – second tensile force (F2 = 112.5 N); Δx1 – first elongation of the elastic (Δx1 = 9 cm); F1 is the first tensile force (F1 = 45 N).

Let’s make a calculation: Δx2 = 112.5 * 9/45 = 22.5 cm.

Answer: By applying a force of 112.5 N, the boy received an elongation of the elastic band by 22.5 cm.