Answer to Question #124588 in Physics for Henry king .S

Question

With a mass of 25 g hung from its end, the total length of a spring is 15 cm. When the mass is increased to 40 g, the total length of the spring is 18 cm. The unstretched length of the spring is

Answer 1

$$mg=k(l-x)\\Mg=k(L-x)\\\frac{m}{M}=\frac{l-x}{L-x}\\\frac{25}{40}=\frac{15-x}{18-x}\\x=10\ cm$$