[tex]Dane:\\v = 108\frac{km}{h} = 108\cdot\frac{1000 \ m}{3600 \ s} = 30\frac{m}{s}\\f = 0,5\\g = 10\frac{m}{s^{2}}\\Szukane:\\r = ?[/tex]
Rozwiązanie
Siła dośrodkowa = sile tarcia
[tex]F_{d} = T\\\\F_{d} = \frac{mv^{2}}{r}, \ \ \ \ T = fmg\\\\\frac{mv^{2}}{r} = fmg \ \ \ |:m\\\\\frac{v^{2}}{r} = fg \ \ \ |\cdot r\\\\v^{2}{ = rfg \ \ \ |:fg[/tex]
[tex]r = \frac{v^{2}}{fg}\\\\r = \frac{(30\frac{m}{s})^{2}}{0,5\cdot10\frac{m}{s^{2}}} = \frac{900\frac{m^{2}}{s^{2}}}{5\frac{m}{s^{2}}}\\\\\boxed{r = 180 \ m = 0,18 \ km}[/tex]
