How long will a fishing line with a rigidity of 1 kN / m lengthen if it is stretched with a force of 4n.

These tasks: k (the coefficient of rigidity of the line taken) = 1 kN / m = 1 * 10 ^ 3 N / m; F (the force with which the line is stretched (deformed)) = 4 N.

We express the elongation of the taken fishing line from the formula: F = -Fcont. = k * Δx, whence Δx = F / k.

Let’s perform the calculation: Δx = 4 / (1 * 10 ^ 3) = 4 * 10 ^ -3 m = 4 mm.

Answer: The taken line will lengthen by 4 mm.