实验表明橡皮筋不满足虎克定律,倔强系数随着伸长量的增加而减小。在弹性限度内,外力F和伸长量x的关系可以近似地建立指数小于1的幂函数的数学模型。取一条普通的橡皮筋,将其一端固定,另一端挂在弹簧秤上,用直尺和弹簧秤可以测出在弹性限度内伸长量x和拉力F的10组数据(见表1)。以x Experiments show that the rubber band does not satisfy Hooke’s law, and the bare coefficient decreases with the increase of the elongation. Within the elastic limit, the relationship between the external force F and the extension x can approximately establish a mathematical model with an exponent less than one power function. Take an ordinary rubber band, one end is fixed, the other end is hung on the spring scale, and 10 sets of data of elongation x and tension F within the elastic limit can be measured with a ruler and a spring balance (see Table 1). x