Question

Жесткость прорезиненного жгута 7,2 * 10 в четвертой степени Н/м. На какую длину растянется жгут, если на него действует сила 10кН?

Answer 1

$F=kx$

$x=\frac{F}{k}$

$x=\frac{10^{4}}{7,2\cdot10^{4}}=1,4\cdot10^{-3}$

Answer 2

Calculation of the Length of the Rubberized Cord

To calculate the length to which the rubberized cord will stretch when a force of 10 kN is applied to it, we can use the given information about the stiffness of the cord. The stiffness of the cord is provided as 7.2 * 10^4 N/m.

The formula to calculate the elongation or stretch of a cord under a force is:

Elongation = (Force / Stiffness)

Substituting the given values into the formula:

Elongation = (10,000 N / 7.2 * 10^4 N/m)

Simplifying the calculation:

Elongation = 0.1389 meters

Therefore, the rubberized cord will stretch by approximately 0.1389 meters when a force of 10 kN is applied to it.