[tex]Se~da:\\ \\
h_{1}=1m\\ \\
x_{1}=1cm=0,01m\\ \\
h_{2}=2m\\ \\
x_{2}=?m\\ \\ \\
Formule:\\ \\
1)E_{p_{1}}=E_{pel_{1}}\\ \\
m\times g \times h_1=\frac {k\times x_{1}^2}2\\ \\
m=\frac{k\times x_1^2}{2\times g \times h_1}\\ \\ \\[/tex]
[tex]2)E_{p_2}=E_{pel_2}\\ \\
m\times g \times h_2=\frac{k\times x_2^2}2\\ \\
\frac{k\times x_1^2}{2\times g \times h_1}\times g \times h_2=\frac{k\times x_2^2}2\\ \\
\frac{x_1^2\times h_2}{h_1}=x_2^2\\ \\
x_2=\sqrt\frac{x_1^2\times h_2}{h_1}\\ \\
x_2=x_1\times\sqrt\frac{h_2}{h_1}\\ \\ \\
Calcule:\\ \\
x_2=0,1\times\sqrt\frac{2}{1}\approx 0,142m[/tex]
