Physics, 18.01.2021 14:00, loudermilkb117
For a particular nonlinear spring, the relationship between the magnitude of the applied force F and the resultant displacement x from equilibrium is given by the equation: F = Kx^2. What is the amount of work done by stretching the spring a distance xo?
Answers: 2
.![W = \int\limits^{x_b} _{x_a} {F} \, dx \\\\ W= \int\limits^{x_b} _{x_a} {kx^2} \, dx \\\\W = k\int\limits^{x_b} _{x_a} {x^2} \, dx\\\\ W= k[\frac{x^3}{3} ]\\\\W = k[\frac{x_b - x_a}{3} ]\\\\ W= k [\frac{x_0 - 0}{3} ]\\\\W = \frac{kx_0}{3}](/tpl/images/1043/2175/a1a20.png)
(1)
- Force.
- Work.
- Distance.
, then the work of the nonlinear spring is:
(2)
and 
, then the amount of work done by stretching the spring a distance 
is:
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